If the hexagon has the side length as 10 units , then the area of hexagon is square units is 259.8 .
What is a Hexagon ?
A Hexagon is defined as a closed two dimensional figure that has 6 sides . and a regular hexagon has all 6 sides equal and all 6 angles equal .
the formula to calculate the area of hexagon can be written as :
Area = [tex]\frac{3\sqrt{3}\; s^{2} }{2}[/tex] ;
the side length of hexagon (s) is = 10 units ;
substituting the side length ,
we get ;
Area = [tex]\frac{3\sqrt{3}\; (10)^{2} }{2}[/tex] ;
On simplifying ,
we get ;
Area of hexagon is = 259.8 square units .
The given question is incomplete , the complete question is
How many square units is the area of the hexagon that has a side length of 10 units ?
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AB formed by (-6, 2) and (-2, 4) CD formed by (-1, 11) and (5, -7)
Determine if segments AB and CD are parallel, perpendicular, or neither
The table below shows Zoey's earnings on the job
How much does she make in 18.2518.25 hours?
Answer:
she is going to make $408.90 in 18.2518.25 hours
Translate into an algebraic expression: the product of the sum of a number and it’s reciprocal and the opposite of the cube of the number
If you purchase a reciprocal membership from the two museums, you can visit both at no charge.
What is a reciprocal of an algebraic expression?Mathematical expressions with variables, constants, coefficients, and algebraic operations are called algebraic expressions.
As a similar matter, the adjective reciprocal can also be used to denote something that is opposite or inversely connected (which is just about the opposite of what reciprocal is generally used to mean). A reciprocal membership is available from the two museums, allowing you access to both for free.
This fraction, turned upside down, is the reciprocal of a number. The reciprocal, then, has the top number, or numerator, on top and the bottom number, or denominator, of the original fraction on the bottom. Due to the fact that 1/6 is the inverse of 6/1 and 6 = 6/1, the reciprocal of 6 is 1/6.
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The question is in the image i need the answer at least 2 mins after sending the question
Answer:
Slope= 3/4
y intercept= (0,-3)
Step-by-step explanation:
hope it helps :)
The area of a square is 64 n Superscript 36square units. What is the side length of one side of the square?
The side length of one side of the square is 8n¹⁸
What is the side length of one side of the square?From the question, we have the following parameters that can be used in our computation:
Area = 64 n Superscript 36square units
Express the area expression properly
So, we have the following representation
Area = 64n³⁶ square units
Take the square roots of both sides to calculate the side length
This gives
Side length = 8n¹⁸
Hence, the side length is 8n¹⁸
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A population of mice has a growth factor of 3.
after one month, there are 36 mine. after 2
months, there are 108 mice.
B. Write an equation for the population after any number of months. Explain what information the numbers and variables in your equation represent.
The equation representing the data is N=12×3ⁿ Where n is the number of months.
What are functions?Function, in mathematics, is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given here, A population of mice has a growth factor of 3. after one month, there are 36 mines. after 2 months, there are 108 mice.
let n be the number of months and N be the number of mice after n months
thus , N=36
⇒ 36=12×3¹
N=108
⇒108=12×3²
Therefore for any n the Number of mice is N=12×3ⁿ
Hence, The equation representing the data is N=12×3ⁿ Where n is the number of months.
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Solve the application problem. Round to the nearest percent.
Last month, Jones Used Car Lot sold $150,000.00 worth of cars. This month their car sales reached $450,000.00. What was their percent increase in car sales?
Answer:
200%
Step-by-step explanation:
[tex]\boxed{\begin{minipage}{8 cm}\underline{Percent change formula}\\\\$\rm Percent\:change=\dfrac{final\:value-initial\:value}{initial\:value} \times 100$\\ \end{minipage}}[/tex]
Given values:
Initial value = $150,000Final value = $450,000Substitute the values into the percent change formula to find the percent increase in car sales:
[tex]\begin{aligned} \implies \textsf{percent change}&=\dfrac{450000-150000}{150000}\times 100\\\\&=\dfrac{300000}{150000}\times 100\\\\ &=2\times 100\\\\&=200\%\end{aligned}[/tex]
Therefore, the percent increase in car sales was 200%.
5x+ 15y = 30 i suck at math
Answer:
x=6−3y
Step-by-step explanation:
5(x+3y)=30
x+3y=6
x=6−3y
Have great day♡
Answer: x = 6 - 3y
Step-by-step explanation: 5x+15y=30
Subtract 15y from both sides.
5x=30−15y
Divide both sides by 5.
5x/5 = 30-15y/5
Dividing by 5 undoes the multiplication by 5.
x = 30-15y/5
Divide 30−15y by 5.
x=6−3y
please give a step by step explanation
The radius of the sphere, given the volume of the sphere and the formula for the volume, is 15. 64 mm
How to find the radius of the sphere ?We are told that to find the volume of a sphere, we can use the formula :
Volume of sphere = 4 / 3 x π x r³
We are then given that volume in this instance to be 5, 100π mm³ which means that we can equate the formula to this volume to be able to find the radius.
We can therefore find the radius to be:
5, 100 π = 4 / 3 x π x r³
r ³ = 5, 100 π / ( 4 / 3 x π )
r ³ = 5, 100 / ( 4 / 3 )
r ³ = 3, 825
r = ∛ 3, 825
r = 15. 64 mm
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What is the measure of each of the angle of a rectangle class 8?
The measure of each of the angle of a rectangle is 90 degrees.
A rectangle is a four-sided shape with four right angles. Each angle measures 90 degrees, meaning that the sum of the angles of a rectangle is 360 degrees. This is true regardless of the size or proportions of the rectangle.
Each angle of a rectangle can also be referred to as a right angle.
A rectangle is a four-sided shape with four right angles, making each of its angles 90 degrees. This is the measure of each of the angles of a rectangle - 90 degrees.
The four angles fit together perfectly to form a rectangle, making it a very useful shape for construction and design.
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Question 10 (01.04 MC): Penelope wants to go on a kayak trip. She has a budget of $75. To rent a kayak, there is a fixed $35 fee and an hourly fee of $4. Write an inequality that would be used to solve for the maximum number of hours Penelope can rent the kayak on her budget.
A. 35x + 4 ≤ 75
B. 35x + 4 ≥ 75
C. 35 + 4x ≤ 75
D. 35 + 4x ≥ 75
Answer:
The correct inequality to represent this scenario is: C. 35 + 4x ≤ 75
Explanation: Penelope has a fixed fee of $35 to rent the kayak and an hourly fee of $4. To find the maximum number of hours she can rent the kayak, we need to find the value of x that makes the inequality 35 + 4x ≤ 75 true. In this inequality, 35 is the fixed fee and 4x represents the total cost of renting the kayak for x hours. To solve for x, we need to subtract 35 from both sides of the inequality to get 4x ≤ 40. Then, we need to divide both sides by 4 to get x ≤ 10. This means that Penelope can rent the kayak for a maximum of 10 hours.
find an equation of the tangent line to the curve y=x^4+1 that is parallel to the line 32x-y=15
An equation that is parallel to the line 32x-y=15 is y = 32x - 47.
y' = 4x³
m = slope of tangent line =slope of the given line = 32
y' = 32 at the tangent point
4x³ = 32
x = 2
y = 2⁴+ 1 = 17
The tangent point is (2,17)
Tangent line:
y = 32x + b
17 = 32(2) + b
b = -47
y = 32x - 47
The straight line that "just touches" the curve at a particular location is known as the tangent line (or simply tangent) to a plane curve in geometry. It was described by Leibniz as the path connecting two points on a curve that are infinitely near together.
A straight line has a slope of f'(c), where f' is the derivative of f, and is said to be tangent to a curve at a point x = c if it passes through the point (c, f(c)) on the curve. Space curves and curves in n-dimensional Euclidean space have a similar definition.
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HELP NOW
Which unit rate corresponds to the proportional relationship shown in the graph?
Drag and drop the answer into the box to match the graph with its unit rate.
The unit rate that corresponds to the proportional relationship shown in the graph is: 4/3 cm/s.
What is the Unit Rate of a Proportional Relationship?A proportional relationship is a mathematical relationship in which two variables are directly proportional to each other, meaning that the ratio of their values is always constant. The unit rate of a proportional relationship is the constant of proportionality, also known as the coefficient of proportionality. It is a number that relates the two variables in the relationship and it is also the slope of the line in the graph representation of the relationship.
For example, in a proportional relationship of y = kx, where y and x are the two variables and k is the constant of proportionality, the unit rate is k. It tells us how much y changes for each unit change in x. For example, if k=2, then for each increase of 1 in x, y will increase by 2.
Using a point on the graph, (12, 16):
Unit rate = y/x = 16/12 = 4/3 cm/s.
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Evaluate the iterated integral. The first integral is 0 to 2 and the second integral is 2 to 3. xy^2 dx dy. Please show step by step with detail. Thanks
\int \int xy^2 dx dy
I need help with this question
(−7c +8d) 0.6
Answer: -4.2c+4.8d
Step-by-step explanation:
If i'm not missing anything this looks like a distributive property question.
Multiply the outside number by the inside numbers (with their variables)
So
-7c*0.6 = -4.2c
8d*0.6 = 4.8
so the answer is -4.2c+4.8d
Help with geometry similar triangles.
=====================================================
Explanation:
The segment (4x-9) units long is the midsegment of the triangle. This is because each endpoint is a midpoint of the slanted sides.
One property of midsegments is that it is half as long as the side parallel to it.
The (4x-9) side is half as long compared to the 6x side.
Rephrased another way: The 6x is twice as long compared to (4x-9)
We'll use this to set up the equation to solve for x.
6x = 2*(4x-9)
6x = 8x-18
6x-8x = -18
-2x = -18
x = -18/(-2)
x = 9 is the final answer
Which point is a solution to y<-2+3?
Answer:
(-1,-1)
Step-by-step explanation:
First thing to consider: the expression is y<-2+3 not y<-2x+3
When plotting this on a graph a possible answer is (-1,-1)
What is the fraction of the shaded faces on
this solid?
There are 25 birds in a cage. How many feet
are there in the cage?
AIMSweb Classic
Math Concepts and Applications
Answer:
The first one is 1/5
Step-by-step explanation: because there are 5 sides and the second one is 50 feet
can someone answer this question really quick
Review the following problem and answer the questions that follow.
Problem: 8 + 3(2a - 4)
Work: 11(2a - 4)
Answer: 22a - 44
1) What mistake was made? Be specific.
2) What suggestion would you give me to avoid making that same mistake in the future?
Answer:
1) The mistake is not following order of operations, the multiplication between the 3 and (2a - 4) in the brackets is a priority. You should of added the 8 after you resolve the bracket.
2) We can remember the order using PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).
The recursive definition of a sequence is given.
a1 = 2, an an-1 + 2
-
Write the explicit definition. Your answer must be simplified.
Explicit Definition of an Arithmetic Sequence
an = a₁ + (n-1) d
To solve this we must be knowing each and every concept related to arithmetic sequence and its calculations. Therefore, arithmetic sequence can be defined as below.
What is arithmetic sequence?An arithmetic sequence is a collection of integers that follow a specific pattern. It's an arithmetic sequence if you pick any number inside the sequence and subtract it from the preceding one, and the outcome remains the same or constant.
an = a₁ + (n-1) d
The common difference, indicated by the letter d, is the constant difference between all pairs of subsequent or succeeding integers in a series. To transition from one phrase to another, we employ the common difference.
Therefore, arithmetic sequence can be defined as above.
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Three segments are chosen at random from six segments having lengths of 2, 3, 5, 6, 7 and 10 units. What is the probability that the three segments chosen could form a triangle
The probability that three segments were chosen could form a triangle [tex]\frac{7}{20}[/tex] .
Using the probability concept, it is found that there is a probability that the three segments selected could form a triangle.
The number of desired outcomes divided by the number of total outcomes is called probability.
In this problem, the order in which the sides of the segments are selected is not important, hence, the combination formula is used to find the number of total outcomes.
Combination formula:
[tex]C_{n.x}[/tex] is the number of different combinations of x objects from the set of n elements, given by:
[tex]C_{n,x} = \frac{n !}{x ! ( n - x) !}[/tex]
Total outcomes:
Three segments from a set of six lengths, hence:
[tex]C_{6,3} = \frac{6 !}{3 ! 3 !} = 20[/tex]
Desired outcomes:
Segments can make a triangle if the sum of the lengths of the smaller segments is greater than the length of the larger segment.Hence, the possible options are: (2,5,6), (3,5,6), (3,5,7), (5,6,7), (5,6,10), (5,7,10), (6,7,10).There are 7 desired outcomes, hence D = 7Then :
p = [tex]\frac{D}{T} = \frac{7}{20}[/tex]
[tex]\frac{7}{20}[/tex] -the probability that the three segments selected could form a triangle.
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1) a child puts $1 into a piggy bank. one week later he puts $1.25. two weeks later he puts $1.50 in the bank and so on. how much money does he put in the bank on the 25th week?
omg save me and explain
Answer:kkkkkkk
Step-by-step explanation:
All mortgages must be paid monthly.
A. True
B.False
Answer:
A
Step-by-step explanation:
The graph of a line passes through the points (0, 8) and (4, 0). What is the equation
of the line?
Answer: y= -2x+8
Step-by-step explanation:
How do you dilate a line centered at the origin?
You can dilate a line centered at the origin by using its coordinates of origin.
Dilating a line centered at the origin is a useful tool in geometry. To do this, you need to first identify the coordinates of the origin, or (0,0). Then, you need to identify the equation of the line.
Once you have these two points, you can calculate the coordinates of the line when you multiply the equation by a certain number, which is known as the scale factor.
This scale factor will determine the amount of dilation that needs to be applied to the line. Finally, you can plot the new points on a graph and draw the line to see the new shape.
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ANSWER FOR BRAINLIST AND HEARTS 30 POINTS!
How do I do this.............................. Help
The diagram represents two statements: p and q.
Which represents regions A, B, and C?
Opvq
Op-q
q^p
O q-p
A represents the p region, B represents the (q∩p) region and C represents the q region.
What is a Venn diagram?A Venn diagram uses overlapping circles or other shapes to illustrate the logical relationships between two or more sets of items.
Given is a Venn diagram,
Studying the Venn diagram, we get that,
A represents the region occupied by p, that means A is representing the region that belongs to p.
B is the region B includes the area which commonly lies both in p AND q at the same time that means B displays the region in which both p AND q.
C represents the region occupied by q, that means C is representing the region that belongs to q.
Hence, A's region is p, B's region is (q∩p) and C's region is q.
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HELP I NEED HELP WITH GEOMETRY
The third side is the hypotenuse of a right angle triangle and the length is equal to 4.
What is the Pythagoras ruleThe Pythagoras rule states that in a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
We shall represent the length of the third side with the letter x, such that by Pythagoras rule we evaluate for the hypotenuse as follows:
x² = 3² + (√7)²
x² = 9 + 7
x² = 16 {take square root of both sides}
x = √16
x = 4.
Therefore, the length of the third side which is also the hypotenuse is equal to 4 using the Pythagoras rule.
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Right triangle MHB is shown on the coordinate grid where m/MHB=45°.
B
-11-10-9-8-7-6
What is the exact length of MB?
-4-3-2
7y
5
4
3
2
10 1
-1
M-2
2
H
3
X
4
Therefore , the solution of the given problem of triangle comes out to be and MB or x = √106.
What is triangle?A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.
Here,
Given : A right triangle ,
=> 2√53 = BH
=> MH = √106
∠m / ∠MHB = 45°
Using Pythagoras theorem :
=> ( 2√53)² = (√106)² + x²
=> 4 * 53 - 106 = x²
=> x² = 212 -106
=> x = √106
Therefore , the solution of the given problem of triangle comes out to be
and MB or x = √106.
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