The area of the rectangle is x(14-x).
The area can be defined as the amount of space covered by a flat surface of a particular shape. It is measured in terms of the "number of" square units (square centimeters, square inches, square feet, etc.) The area of a rectangle is the number of unit squares that can fit into a rectangle. Some examples of rectangular shapes are the flat surfaces of laptop monitors, blackboards, painting canvas, etc. You can use the formula of the area of a rectangle to find the space occupied by these objects. For example, let us consider a rectangle of length 4 inches and width 3 inches.
Yes, the expression a(x) = x(14-x) represents the area of a rectangle with width x. The expression is a function that takes the width of the rectangle as input and returns the area of the rectangle as output. The area of a rectangle is given by the formula A = lw, where A is the area, l is the length of the rectangle, and w is the width of the rectangle. In this case, the length of the rectangle is 14 and the width is x, so the area of the rectangle can be expressed as a(x) = x(14-x).
To know more about the area of the rectangle visit :
https://brainly.com/question/20693059?referrer=searchResults
#SPJ4
The perimeter of the rectangle is fixed at P(x) =28
Now, According to the question:
Let's Know:
Area and Perimeter of Rectangle
Areas and perimeters are the most basic parameters involved in shapes, with the former being the space that can be covered by a shape and the latter being the measure of the outline of the shape.
A rectangle has dimensions defined by the length, l, and the width, w, which can be used in determining its area and perimeter. These are obtained using the following formulas.
A = l × w
P = 2l+ 2w
We are given the area of a rectangle as a function of x, which is
a(x) = x(14−x) We are asked to determine the perimeter of the rectangle.
the area of a rectangle is given by:
A = l × w
l is the length and w is the width. We may notice that in this formula, the two dimensions or components are simply multiplied together. Going back to the given function, we can see that the components on the right side of the equation also have this relation. If we look closely, we can see that we have two factors, x and (14 − x), and that they are multiplied to each other. We can assume that x is the length of the rectangle and (14−x) is the width of the rectangle. The product of these two expressions gives the area function.
Now, let's apply these to the perimeter of a rectangle. Generally, the perimeter of a rectangle is given by
P = 2l + 2w
Since, for our case, the length is x and the width is (14− x), substituting these into the formula for the perimeter gives us
P(x) = 2x + 2(14 - x)
P(x) = 2x + 28 - 2x
P(x) = 28
Therefore, the perimeter of the rectangle is fixed at P(x) =28.
Learn more about Area of rectangle at:
https://brainly.com/question/20693059
#SPJ4
20 PIONTS!!!!
Which set of ordered pairs does NOT represent a function? Responses
A (-3, 6), (2, 7), (0, 5), (1, 5), (4, 9), (5, 4)(-3, 6), (2, 7), (0, 5), (1, 5), (4, 9), (5, 4)
B (0, 1), (2, 2), (4, 8), (2, 7), (5, 8), (7, 9)(0, 1), (2, 2), (4, 8), (2, 7), (5, 8), (7, 9)
C (-4, 2), (-3, 2), (-2, 2), (-1, 2), (0, 2), (1, 2)(-4, 2), (-3, 2), (-2, 2), (-1, 2), (0, 2), (1, 2)
D (0, 1), (2, 2), (4, 8), (-2, 7), (5, 8)(0, 1), (2, 2), (4, 8), (-2, 7), (5, 8)
E (1, 4), (3, 7), (5, 8), (4, 9), (6, 2), (7, 8), (2, 5)
Answer:
C
Step-by-step explanation:
two - 4s
Is the relation in the problem in the image a function? explain i will mar you brainliest
Mariella compared 9 brands of ice cream and found that the average price of the 9 brands is equal to 254 as she was going to another store she found two other brands that cost 282 and 292 respectively.What will be the resulting average?
260
An average value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values. When we need to find the average of a set of data, we add up all the values and then divide this total by the number of values.
how to calculate the average(avg) = sum of all terms/number of terms.
According to the question:
Mariella had compared 9 brands later on she wanted to even compare the other 2 brands so the average has to be calculated to 11 brands (9+2).
We can formulate it as (292 +282+ 9*254)/11
As we simplify the question we equate it as:
(292 +282 +2286)/11
2860/11 = 260
hence, the average is 260.
To learn more about average, refer to the link below:
https://brainly.com/question/20118982
6 of 6
Jerry's starting salary is $75,250. He earns a 4% raise every year. What will Jerry's annual salary be in the 7th year? please show work
Answer:
$96320.00
Step-by-step explanation:
Net Amount = $75,250.00
Raise = $3,010.00
3010 x 7 = 21070
21070 + 75250 = 96320
$96320.00
Examine the equation. –2(–x 9) = 2(x – 9) 2x – 18 = 2x – 18 this equation has .
Answer:
infinitely many solutions
Step-by-step explanation:
Guys please help me with this question ASAP!!
Leah and Lee hiked last weekend.
Day
Saturday| 7 3/4
Sunday| 5/ 25
Distance (Miles)
How much farther did Leah and Lee
hike on Saturday than on Sunday?
27 /20 miles farther Leah and Lee hike on Saturday than on Sunday.
How much farther did Leah and Lee?Leah and Lee hiked last weekend.
Day Saturday| 7 3/4 ,Sunday| 5/ 25 ,Distance (Miles)
Solution: lean and lee hiked last weekend and on saturday 7 3 / 4 mileson Sunday = 5 2/5 miles
so,
distance leah and lee hiked farther on Saturday than Sunday = (7 3/4 miles - 5 2/5 miles)
Leah and Lee hike on Saturday than on Sunday:
31 / 4 miles - 27 / 5 miles
( 155 - 108 ) / 20 miles
47 / 20 miles
= 27 /20 miles
27 /20 miles farther Leah and Lee hike on Saturday than on Sunday.
To learn more about distance refer to:
https://brainly.com/question/17273444
#SPJ1
Justin's company makes solid balls out of scrap metal for various industrial uses. For one project, he must make copper balls that have a radius of 6 in. If copper costs $0.75 per in^(3), how much will the copper cost to make one ball? Use 3.14 for \pi , and do not round your answer.
The cost of making the ball is $678.24.
What is the cost of the ball?
We are told in the question that Justin's company makes solid balls out of scrap metal for various industrial uses. For one project, he must make copper balls that have a radius of 6 in. If copper costs $0.75 per in^(3).
Now we have to obtain the volume of the ball. Let us recall that the ball has the shape of a sphere hence volume of a sphere is;
V = 4/3πr^3
V = 4/3 * 3.14 * (6)^3
V = 904.32 in^3
The cost of the ball is; 904.32 in^3 * $0.75
= $678.24
Learn more about volume:https://brainly.com/question/1578538
#SPJ1
What is an example of exponential form?
The exponential form is a way of writing repeated multiplication with involving base and exponents and its examples are 5³ , 6² , 7² .
The Exponential Form is defined as a representation of mathematical expression that has one or more exponents.
let us take an example : the number 64 can be written as
= 4 × 4 × 4
= 4³, here the number 4³ will be called as 4 to the power 3 or 4 raised to the power 3 .
Some more examples of exponential form representation are : 32 = 2⁵ , 8 = 2³ , 81 = 3⁴ .
Learn more about Exponential Form here
https://brainly.com/question/29166310
#SPJ4
An example of exponential form is 2^4, which is equal to 16.
2^4 = 2 x 2 x 2 x 2 = 16
Exponential form is a way of writing numbers that involves a base number (in this example, 2) and an exponent (in this example, 4). The base number is multiplied by itself the number of times indicated by the exponent. In this example, the base number (2) is multiplied by itself 4 times, resulting in 16. Exponential form is often used to express large numbers in a more compact form. It is also used to represent scientific notation, which is a way to write very large or very small numbers in a convenient form. Exponential form can also be used to represent repeated multiplication. For example, 2^4 represents 2 multiplied by itself 4 times. This is a simpler and more compact way of expressing the same calculation than writing out 2 x 2 x 2 x 2 = 16.
Learn more about Exponential Form here
brainly.com/question/29166310
#SPJ4
Help it is due tomorrow
Answer:
The dependent variable is n (outs). The number of outs depends on the number of innings.
Express y in terms of x. Find the value of y when x = −1. 0.5y - 2 = 0.25x
Answer:
y = 3.5
Step-by-step explanation:
0.5y - 2 = 0.25x ( add 2 to both sides )
0.5y = 0.25x + 2 ( divide through by 0.5 )
y = 0.5x + 4
when x = - 1 , then
y = 0.5(- 1) + 4
= - 0.5 + 4
= 3.5
Answer:
Step-by-step explanation:
step 1. 0.5y-2=0.25x
step 2 0.5 y-2=0.25(-1)
step 3 0.5y = 1.75
step 4 y = 3.5
Anna, Bertie and Carl share some money.
Anna gets 30% less than Carl.
Bertie gets
of what Anna gets.
Everyone gets a whole number of pounds.
Given that Bertie gets over £40, what is the least amount of money Carl can recieve?
Step-by-step explanation:
$60 as Carl gets more than the other 2
Given (Multiplug)
MP= 500
discount percent= 11.5
What percentage of VAT can be added to the customer purchase price after the discount so that the Multiplug can be obtained for the same amount as marked price. Find it.
Answer:
To find the percentage of VAT that can be added to the customer purchase price after the discount, you can use the following formula:
VAT% = (MP - (MP * (discount%/100))) / ((MP * (discount%/100)) * (1 + (VAT%/100))) * 100
Plugging in the values you provided, we get:
VAT% = (500 - (500 * (11.5/100))) / ((500 * (11.5/100)) * (1 + (VAT%/100))) * 100
Solving for VAT%, we get:
VAT% = 15.384615384615385
Therefore, you can add 15.384615384615385% VAT to the customer purchase price after the discount so that the Multiplug can be obtained for the same amount as the marked price.
Answer:
19.6%
If this help please set brainliest.
Step-by-step explanation:
To find the percentage of VAT that can be added to the customer purchase price after the discount, you can use the following formula:
VAT % = (MP - (MP * (discount percent / 100))) / (MP * (discount percent / 100)) * 100
Plugging in the given values, we get:
(500 - (500 * (11.5 / 100))) / (500 * (11.5 / 100)) * 100 = 19.6%
This means that you can add 19.6% VAT to the customer purchase price after the discount in order to obtain the Multiplug for the same amount as the marked price.
Geometry please help fast
There are seven different books to choose from. In how many ways can you arrange these books on three different shelves of a bookcase?
The number of ways to arrange the seven books on three different shelves as required is; 210 ways.
What is the number of ways to arrange the books on different shelves?It follows from the task content that the number of possible arrangements of all seven books on three different shelves be determined.
On this note, the number of possible arrangements is best described by the number of possible permutations.
On this note, the permutation which represents the number of possible arrangements is;
⁷P₃
= 210 ways.
Ultimately, the number of possible arrangements is: 210.
Read more on permutations;
https://brainly.com/question/11732255
#SPJ1
Write the mission power of 10 in exponent form 0.007 X_____=7
On solving the provided question we cans ay that - the value of the following exponent is [tex]10^-5[/tex]
what are exponents?Exponentiation, often known as "b raised to the nth power," is a mathematical operation denoted by the symbol bn that involves two numbers: a base number, b, and an exponent, or power, n. Exponents show how many times a number has been multiplied by itself. As an illustration, 2-3 (written as 23) denotes: 2 x 2 x 2 = 8. 23 is not equivalent to 2 + 3 = 6. Recall that an integer raised to the power of one equals itself. A approach to express huge numbers as powers is through the use of exponents. Exponent, then, is the quantity that indicates how many times a number has been multiplied by itself. As an illustration, 6 is multiplied by 4 to provide 6 x 6 x 6 x 6. It may be expressed as 64. 4 is where
here,
[tex]10^-5[/tex] = [tex]\frac{1}{10^5}[/tex]
= 1/100000
=0.00001
To know more about exponents visit:
https://brainly.com/question/3987569
#SPJ1
HELP PLEASE
Consider the equation xy = 0. In this equation, two variables are multiplied and the result is 0. Can the equation be true if neither variable is equal to 0? Can the equation be true if only one variable is equal to 0? If so, which one needs to be equal to 0? Can the equation be true if both variables are equal to 0?
Answer:
It is not true unless one or both variables is equal to zero. If either x, y or both is 0, then the equation will be true.
Combine and simplify the following radical expression.
The radical value of the expression is 144⁵/³
What is a radical expression?You should be aware that a radical expression is defined as any expression containing a radical (√) symbol.
The given expression to be ex[pressed is
(2∛12)(3∛2)
To express this, we multiply two two brackets together to have
6∛24
Taking the cube root of 24 we have
6¹ * 24¹/³
Applying the multiplication law of indices we have
144⁵/³
In conclusion this is to say that the radical expression is 144⁵/³
Learn more about radical expression on https://brainly.com/question/3796764
#SPJ
At what point is the tangent to horizontal?
The tangent is horizontal when the slope of the tangent is 0.
A horizontal tangent line is a mathematical feature on a graph, located where a function's derivative is zero.
Where the derivative of a function is zero, a graph's horizontal tangent line is a mathematical feature.
This is so that the derivative, by definition, can provide the slope of the tangent line.
The slope of horizontal lines is zero. As a result, the tangent line is horizontal when the derivative is zero.
Use the function's derivative to get the zeros and then insert them back into the original equation to find horizontal tangent lines.
Calculus considers horizontal tangent lines significant because they show local maximum or minimum points in the original function.
For more questions on Horizontal Tangent Line
https://brainly.com/question/30078386
#SPJ4
For questions 9-12, use the ellipse having foci located at (3,1) and (7,1), and a major axis length of 10.
9. what are the coordinates of the vertices.
10. What is the length of the minor axis.
11. find the eccentricity of the ellipse.
12. draw a sketch of the ellipse. PLEASE HELP AND SHOW WORK!
Answer:
[tex]\textsf{9.} \quad \textsf{Vertices}:\;\;(0, 1) \;\; \textsf{and} \;\; (10, 1)[/tex]
[tex]\textsf{10.} \quad \textsf{Minor axis}:\;\;2\sqrt{21}[/tex]
[tex]\textsf{11.} \quad \textsf{Eccentricity}:\;\;\dfrac{2}{5}[/tex]
[tex]\textsf{12.} \quad \sf See\;attachment[/tex]
Step-by-step explanation:
[tex]\boxed{\begin{minipage}{9.2 cm}\underline{General equation of an ellipse}\\\\$\dfrac{(x-h)^2}{a^2}+\dfrac{(y-k)^2}{b^2}=1$\\\\where:\\\phantom{ww}$\bullet$ $(h,k)$ is the center\\ \phantom{ww}$\bullet$ $(h\pm a,k)$ or $(h,k\pm b)$ are the vertices\\ \phantom{ww}$\bullet$ $(h\pm c,k)$ or $(h,k\pm c)$ are the foci where $c^2=a^2-b^2$\\\end{minipage}}[/tex]
Given:
Foci: (3, 1) and (7, 1)Major axis: 10The center of an ellipse is the midpoint of the foci.
Therefore, the center (h, k) of the ellipse is (5, 1), so:
h = 5k = 1The foci are on the major axis of an ellipse.
Given that the y-values of the given foci are the same, the ellipse is horizontal.
The foci of a horizontal ellipse are (h±c, k)
[tex]\implies 5-c=3 \implies c=2[/tex]
[tex]\implies 5+c=7 \implies c=2[/tex]
The major axis of a horizontal ellipse is 2a.
If the major axis is 10, then a = 5.
The vertices of a horizontal ellipse are (h±a, k).
Therefore the coordinates of the vertices are:
(5-5, 1) = (0, 1)(5+5, 1) = (10, 1)The minor axis of a horizontal ellipse is 2b.
As c² = a² - b² then b = √(a² - c²).
[tex]\implies b=\sqrt{5^2-2^2}=\sqrt{21}[/tex]
Therefore, the minor axis is 2√(21).
The eccentricity of the ellipse is:
[tex]\implies e=\dfrac{c}{a}=\dfrac{2}{5}[/tex]
Kellan burns 348
calories in 3 hours. How
long will it take her to
burn 870 calories?
Answer:
7.5 Hours
Step-by-step explanation:
Given:
Kellan burns 348 calories in 3 hours.
Question:
How long will it take her to burn 870 calories?
Solve:
Since, it given that KelIan burns 348 calories in 3 hours. Then we need to find how much KeIlan burns per hour.
To do that, divide the calories by the hours.
Thus, 348 divided by 3 which equals 116.
Now knowing that KeIlan burns 116 per hour will help us know how much hours it would take to burn up 870 calories.
To do that,
We have to divide 870 by 116 which equals 7.5.
Hence, it would take 7.5 hours to burn 870 calories.
RevyBreeze
An online clothing company sells custom sweatshirts. The company charges $2.99 for shipping plus $8.00 for each sweatshirt. Write a linear function rule that models the total cost y (in dollars) for any number of sweatshirts x.
Use pencil and paper. Describe how the linear function rule would change if the shipping charge applied to each sweatshirt.
Answer:
y = 8x + 2.99
y =10.99x if the shipped was charger per shirt.
Step-by-step explanation:
For the first equation, the shipping charge in 2.99 if you buy 1 shirt or 100 shirts. It is an initial or one time fee, but you have to pay $8 for each shirt. I shirt 8, 2 shirts 16, 3 shirts 24 and so on.
In the second equation you are paying 2 and the shipping for each shirt.
That function is when the shipping charge is a one time fee.
If the shipping charge applied to each sweatshirt, then the total cost function would be y = 10.99x
===================================================
Explanation:
x = number of sweatshirts
Since each shirt costs $8, the expression 8x is the total cost of the shirts if we ignore shipping. Add on shipping to get 8x+2.99 as the actual total cost. This wouldn't include taxes or any other potential fees.
Adding on the 2.99 means it's a one time charge. This assumes all of the sweatshirts you buy is able to be shipped in one box.
---------------
If we changed it so that the shipping applied to each shirt (instead of each box), then the 2.99 would become 2.99x
That would mean the total cost becomes y = 8x+2.99x which fully simplifies to y = 10.99x
It says that the cost per shirt is really $10.99
Share 18£ in ratio 4:5
well, we can simply divide £18 by (4 + 5) and then distribute accordingly
[tex]\stackrel{\text{\LARGE }}{4\cdot \frac{18}{4+5}}~~ : ~~\stackrel{\text{\LARGE }}{5\cdot \frac{18}{4+5}}\qquad \implies\qquad \stackrel{\text{\LARGE }}{4\cdot 2}~~ : ~~\stackrel{\text{\LARGE }}{5\cdot 2}\qquad \implies\qquad \stackrel{\text{\LARGE }}{8}~~ : ~~\stackrel{\text{\LARGE }}{10}[/tex]
If the circle is dilated by a scale factor of one-fourth, what will be the length of the new radius? a circle with radius of 16 centimeters. 1 cm 4 cm 20 cm 64 cm
Answer:
4
Step-by-step explanation:
A dilation of a shape's area will proportionately affect its diagonal (or in the case of a circle, its radius). Thus, we can simply multiply the scale factor (1/4) by the circle's original radius to get the length of new radius.
[tex]16 \left(\dfrac{1}{4} \right)[/tex]
[tex]= \dfrac{16}{4}[/tex]
[tex]= 4[/tex]
Examine the system of equations. x 3y = 7, 2x 4y = 9 which variable would be the most efficient to solve for? x in the first equation y in the first equation x in the second equation y in the second equation
It would be more efficient to solve for x in the first equation
The most efficient variable to solve for is the one which appears in one equation only because if solved for the variable that appears in both the equations, it will require more steps.
In the given equation both x and y appear in both the equation, so solving for x or y in either equation would be same, but solving for x in the first equation will be more efficient as the coefficient of x is 1.
It will be solved as:-
x=7-3y
2(7-3y)+4y=9
14-6y+4y=9
-2y=9-14
y=(-5)/(-2)=2.5
x=7-3(2.5)=7-7.5=-0.5
Solving for x in the first equation will be the most efficient approach.
To know more about linear equations:
https://brainly.com/question/27664510
#SPJ4
The solution to the given system of equations is (-0.5, 2.5).
So, x in the first equation
Now, According to the question:
Let's know:
What is a linear system of equations?
A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.
The system of equations are:
x + 3y = 7 ---(1)
2x + 4y = 9---(2)
From equation (1), we have x=7-3y
So, substitute x=7-3y in equation (2), we get
2 × (7-3y)+4y=9
⇒ 14-6y+4y=9
⇒ 14-2y=9
⇒ 2y=5
⇒ y=2.5
Substitute y=2.5 in equation (1), we get
x+3 × (2.5)=7
⇒ x + 3 × (2.5)=7
⇒ x= -0.5
So, the solution to the given system of equations is (-0.5, 2.5)
Learn more about System of equations at:
https://brainly.com/question/12895249
#SPJ4
true or false the functional baseline describes the required fuctionality of a system and identifies all top level fuctions that the system must perform
Yes, it is true that the functional baseline identifies all top-level functions that a system must carry out as well as the functionality that is expected of it.
Functional Baseline:The functional baseline describes the system functionality that is necessary, as well as the functional and interface features of the overall system and the verification that is necessary to show that the given functional characteristics have been achieved. An activity's effectiveness and progress can be tracked and evaluated both during implementation and after completion using the data from a baseline study as a benchmark.
The functional baseline is the authorized configuration documentation that details a system's or top-level CI's performance requirements (functional, interoperability, and interface characteristics), as well as the verification necessary to show the accomplishment of those specified characteristics.
Learn more about baseline visit: brainly.com/question/25836560
#SPJ4
What is the factored form of 4x² 9?
After taking the common, the factored form of [tex]4x^2-9[/tex] is (2x+3)(2x-3).
In the given question, we have to find the factored form of [tex]4x^2-9[/tex].
The following is how we factor the GCF out of a polynomial:
(1) Determine the polynomial's GCF for each term.
(2) Present each term as the GCF and another factor's product.
(3) To factor out the GCF, use the distributive property.
To solve this question we use the formula [tex](a^2-b^2) = (a+b)(a-b)[/tex]
We can write [tex]4x^2-9[/tex] as
[tex]4x^2-9[/tex] = [tex](2x)^2-(3)^2[/tex]
[tex]4x^2-9[/tex] = (2x+3)(2x-3)
Hence, the factor form of [tex]4x^2-9[/tex] is (2x+3)(2x-3).
To learn more about greatest common factor link is here
brainly.com/question/29584814
#SPJ4
The complete question is:
What is the factored form of [tex]4x^2-9[/tex]?
In the triangles, and . If is greater than , then is ________ . congruent to longer than shorter than the same length as
If angle C is greater than angle E, then AB is greater than. Therefore, option B: 'greater than' is the correct answer.
In the figure attached, it is seen that
BC = DE and AC= FE
Now it is required to find the relation between sides AB and DF of the two given triangles.
Since it is given that angle C of the first triangle is greater than angle E of the second triangle. So it is concluded that the opposite sides of the two triangles are in the same ratio as their angles.
Hence, the AB is greater than DF.
"
Complete question:
In the triangles,BC = DE and AC = FE. If mC is greater than mE, then AB is ________ .
A: congruent to
B: longer than
C: shorter than
D: the same length as
"
You can learn more about angles of triangle at
https://brainly.com/question/25215131
#SPJ4
The table shows the length and area of a square
patio whose equation is y = 12x - x² where x
represents the length of the side of the patio and y
represents the area of the patio.
What does the point (6, 36) represent
graphically?
The equation provided in the problem is a parabola whose maxima is at (6, 36)
What is the equation of the parabola?To determine the equation of a parabola, we can utilize the vertex form. Assuming we can read the coordinates (h,k) from the graph, the aim is to utilize the coordinates of its vertex (maximum point, or minimum point), to formulate its equation in the form y=a(x-h)²+k, and then to determine the value of the coefficient a.
Given that an equation y = 12x - x² where x represents the length of the side of the patio and y represents the area of the patio.
Since the given equation is parabolic it must have a maxima point
dy/dx = 12-2x
for maximum point dy/dx = 0
Thus,
12 - 2x = 0
x = 6
substituting this value in the function
f(x) = 12*6 + 6*6
f(x) = 36
Therefore, (6, 36) points are the maxima point of the given parabolic function. These given points show that the patio will have a maximum area at the length of 6.
Learn more about parabola here:
https://brainly.com/question/4074088
#SPJ1
What is the volume of each cylinder?
The cylinder's capacity is 1.25 x [tex]10^{5}[/tex] and 3.28077× [tex]10^{5}[/tex] its radius and height are indicated in the illustration, accordingly.
what is volume ?The area contained by an object's limits in three-dimensional space is referred to as its volume. Another name for it is an object's capacity. The quantity of space a 3-dimensional item occupies is another way to quantify volume. A vessel's liquid content is measured in standard units and is known as the liquid measurement. Additionally, we call it the vessel's "volume" or "capacity." Both the juice bottle and the infant milk bottle have milliliter measuring marks.
given
a) r = 20 cm
h = 100 cm
V = [tex]\pi r^{2}h[/tex]
V = [tex]\pi * 20^{2} * 100[/tex]
= 1.25 x [tex]10^{5}[/tex]
b) d = 118 m = 118 / 2 = 59 m
h = 30 m
V = [tex]\pi r^{2}h[/tex]
V = [tex]\pi * 59^{2} * 30[/tex]
= 3.28077× [tex]10^{5}[/tex]
The cylinder's capacity is 1.25 x [tex]10^{5}[/tex] and 3.28077× [tex]10^{5}[/tex] its radius and height are indicated in the illustration, accordingly.
To know more about volume visit :-
https://brainly.com/question/1578538
#SPJ1
If Michael is 63 inches tall and he can jump to touch the top of the doorframe which is 94 inches tall, how high can Michael jump?
Answer:
Michael can jump 31 inches high. This can be calculated by subtracting his height (63 inches) from the height of the doorframe (94 inches), which gives a difference of 31 inches.
