Answers
We will have the following:
[tex]V=(\frac{9ft\ast9ft}{2})(12ft)\Rightarrow V=486ft^3[/tex]So, the volume is 486 ft^3.
Related Questions
complete the number bond and write the number sentence to match the tape diagram
Answers
In the first graph, we have that the whole figure is 1
it is divided in 4 parts:
Then, we want to divide 1 into 4 parts. That is
[tex]1\div4=\frac{1}{4}[/tex]Then, we have that:
It is the same for the second figure:
Each 1/4 corresponds to each part. Then if we add them:
[tex]1=\frac{1}{4}+\frac{1}{4}+\frac{1}{4}+\frac{1}{4}[/tex]Prove that (X+2)^2+(X-2)^2=2(x^2+4) for all values of x
Answers
Answer:
see explanation
Step-by-step explanation:
consider the left side
(x + 2)² + (x - 2)² ← expand factors using FOIL
= x² + 4x + 4 + x² - 4x + 4 ← collect like terms
= 2x² + 8 ← factor out 2 from each term
= 2(x² + 4)
= right side , thus proven
The shape below is enlarged using a scale factor of 3 and centre (3,7) to give the dashed shape.
What are the coordinates of B'?
Answers
The point B has a coordinates of (-3, 7) after the dilation
How to determine the coordinates of the point B?From the question, the coordinates of the point B are given as
B = (1, 7)
The scale factor of dilation is given as
k = 3
The center of dilation is given as
Center = (3, 7)
The rule of the dilation is calculated using
B' = (k(x - a) + a, k(y - b) + b)
Where
(a, b) = (3, 7)
k = 3
(x, y) = (1, 7)
So, we have
B' = (3 * (1 - 3) + 3, 3 * (7 - 7) + 7)
Evaluate
B' = (-3, 7)
Hence, the coordinates of the point B is (-3, 7)
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528 = 14y + 10
y =
Stuck again
Answers
528= 14y + 10
1.) 528-10=14y + 10 - 10
2.) 518 = 14y
3.) 518/14 = 14y/14
4.) 37= y
Final answer is : y = 37
528 = 14y + 10
-10 - 10
(the ten on the right cancels out)
518 = 14y is what your left with
divide 518 by 14y
518 = 14y
—— ——
14 14
518 divided by 14 is 37
therefore, y = 37
FIND THE MEASURE OF EACH ANGLE<1 and <2 form a linear pair and m<2= 52 degrees.
Answers
Linear pair angles are the ones that form a straight line, in other words they will form a 180º angle. Therefore if the angle 2 measures 44 degrees we can find the angle 1 by doing as follows:
[tex]\begin{gathered} \measuredangle1+\measuredangle2=180 \\ \measuredangle1+52=180 \\ \measuredangle1=180-52 \\ \measuredangle1=128 \end{gathered}[/tex]The angle one is equal to 128 degrees.
Given the figure below, determine the angle that is an alternate interior angle with respect to. 1. To answer this question, click on the appropriate angle.
Answers
In this case, the alternate interior angles are for example angles 6 and 3 because they are on the inner side of each of the lines (m and l) but on opposite sides of the transversal (t).
m∠6 = m∠3
or
m∠4 = m∠5
The vertices of △ABC are A(2, −3), B(−3, −5), and C(4, 1). If (x,y)--> (x+4, y+6), give the vertices of △A′B′C′.
PLEASE HELPPPP
Answers
Answer:
A' = (6, 3)
B' = (1, 1)
C' = (8, 7)
Step-by-step explanation:
Vertices of triangle ABC:
A = (2, -3)B = (-3, -5)C = (4, 1)Given mapping rule:
(x, y) → (x + 4, y + 6)
This notation tells you that the x-coordinate is translated 4 units to the right, and the y-coordinate is translated 6 units up.
Substitute the coordinates of each point into the mapping rule to find the vertices of triangle A'B'C':
⇒ A' = (2 + 4, -3 + 6) = (6, 3)
⇒ B' = (-3 + 4, -5 + 6) = (1, 1)
⇒ C' = (4 + 4, 1 + 6) = (8, 7)
how do you solve for -2x + 6y = 18
Answers
Answer: x=-3(-y+3)
Step-by-step explanation:
Ali is planning a party. He wants to buy some cakes and some sausage rolls. The cakes are sold in boxes. There are 12 cakes in each box. Each box of cakes costs £2.50. The sausage rolls are sold in packs. There are 8 sausage rolls in each pack. Each pack of sausage rolls costs £1.20. Ali wants to buy more than 60 cakes and more than 60 sausage rolls. He wants to buy exactly the same number of cakes as sausage rolls. What is the least amount of money Ali will have to pay?
Answers
The amount Ali will pay is £25.80
Define Multiples
A number that can be divided by another number without a remainder.
Multiples of 8 and 12
8 : 8 , 16, 24, 32, 40, 48, 56, 64, 72
12 : 12, 24, 36, 48, 60, 72
common element is 72
72 cakes cost for 12 cakes in each box = 72/12
= 6 packs
cost of 6 packs = 6 * £2.50 = £15
72 sausage rolls for 8 sausage in each box = 72 / 8
= 9 packs
cost of 9 packs = 9 * £1.20 = £10.80
Total cost will be = £15 + £10.80 = £25.80
Hence, the amount Ali will pay is £25.80
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Select all ratios equivalent to 13.14
52:56. 39:42. 3:4
Answers
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Corey is designing a rectangular garden. the garden's diagonal must be 15.6 feet, and the ratio between the garden's base and height must be 12 : 5. find the length of the garden's base and height.
Answers
The base of the garden is 14.4 feet.
The height of the garden is 6 feet.
Given,
Corey is designing a rectangular garden;
The diagonal of the garden = 15.6 feet
Ratio between garden's base and height = 12:5
We have to find the length of base and height of the garden.
Here,
Diagonal of a rectangle, d = [tex]\sqrt{base^{2}+ height^{2} }[/tex]
Base = 12x
Height = 5x
Then,
Diagonal, 15.6 = [tex]\sqrt{(12x)^{2} + (5x)^{2} }[/tex]
15.6 = [tex]\sqrt{144x^{2} +25x^{2} }[/tex]
15.6 = √169x²
15.6 = 13 √x²
15.6 = 13x
x = 15.6/13
x = 1.2
Then,
Base of the garden = 12 x 1.2 = 14.4 feet
Height of the garden = 5 x 1.2 = 6 feet
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Question 3 (5 points)
Find the equation of a parabola with a focus at (-2,-3) and a directrix at y = -5
Answers
The equation of a parabola with a focus at (-2,-3) and a directrix at y = -5 is y = 1/7(x + 2)^2 - 8/7 vertex is (2, -8/7)
What is Parabola?
A parabola is the location of a moving point whose distance from a given focus point and directrix line, respectively, is always constant.
let's keep it simple: (x, y). Focus is on (7,5)
When the separation from focus is
[tex]\sqrt{(x - (-2)^{2}) + (y - (-3)^{2} ) }[/tex] . Its distance from directrix y = -5 i.e.
y + 5 = |y + 5|^2
Hence, equation of parabola:
(x - (-2))^2 + (y - (-3))^2 = |y + 5|^2
or, (x + 2)^2 + (y + 3)^2 = |y + 5|^2
x^2 + 4x + 4 + y^2 + 3y + 9 = y^2 + 10y + 25
or, x^2 + 4x + 13 + y^2 + 3y = y^2 + 10y + 25
x^2 + 4x - 12 = 7y
y = (x^2 + 4x - 12)/7
y = 1/7(x^2 + 4x +4 - 4) - 12/7
y = 1/7(x + 2)^2 - 12-4/7
y = 1/7(x + 2)^2 - 8/7
Hence, parabola's equation is y = 1/7(x + 2)^2 - 8/7 vertex is (2, -8/7)
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Jenna buys three boxes of cocoa.
She gives one box to Keanu and one box to Jacoby.
What fraction of cocoa did Jenna give to her friends?
Answers
Answer: 2/3
Jenna had 3 boxes of cocoa and gave away 2, for each friend the fraction is 1/3 therefore 1/3 +1/3 =2/3.... the final fraction is 2/3.
Answer: 2/3
Step-by-step explanation:
total, Jenna had 3/3, then she gave 1/3 to two of her friends. Which makes the total boxes 2/3 of what she gave away with a remaining of 1/3. (1 box of the three boxes)
two planes are flying torwards each other. in 45 minutes, the two planes will be 200 miles apart. in 1 hour, plane A will pass plane B. How far apart are the planes now.
Answers
800 miles is going to be the distance that separates the two aircraft. The distance between the two airplanes will be 1,300 kilometers at the very least.
What is the distance?It is important to keep in mind that the two aircraft's combined speed will be equal to the sum of their separate speeds when calculating their overall speed. In addition, the pilots of the two aircraft have one hour to find each other.
According to the information that was provided, the distance that separates the aircraft after they have flown for forty-five minutes is two hundred miles. As a result, the following will constitute the remaining distance:
= 1 hour - 45 minutes = 15 minutes.
When this occurs, the distance between the planes will be as follows:
= 200/15 × 60
= 200 × 4
= 800 miles
As a result, there will be a gap of 1300 kilometers between the two aircraft.
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Please help thank you
Answers
The value of the unknown angle in the triangle is as follows;
m∠S = 40 degreesHow to find the angle of a triangle?The exterior angle theorem states that the measure of an exterior angle of a triangle is greater than either of the measures of the remote interior angles.
In other words, an exterior angle of a triangle is equal to the sum of the two opposite interior angles.
The external angle is ∠JRS.
Therefore, m∠S can be found as follows:
∠JRS = m∠S + m∠T
Hence,
m∠S = 3x + 4
m∠T = 8x + 4
∠JRS = 140°
Hence,
140 = 3x + 4 + 8x + 4
140 = 3x + 8x + 4 + 4
140 = 11x + 8
140 - 8 = 11x
132 = 11x
x = 132 / 11
x = 12
Therefore,
m∠S = 3(12) + 4 = 40 degrees.
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is 1.030030003 a whole number a natural number an integer a real number a rational number or irrational number
Answers
Real numbers are numbers that are continous on the number line. They include positive and negative numbers. They can be integers, natural numbers, rational or irrational numbers.
In this exercise the number 1.030030003 is a real number because it can be found on the real number line
It is also a rational number because it is a repeating decimal
during a span of 2 hours , lalia played her video games for 50 minutes . what percentage of time was spent on the game
Answers
Total time = 2 hours
Time playing video games = 50 minutes
We have to write an equation:
Total time (2hours) multiplied by the percentage in decimal form (x) must be equal to 50 minutes
Time must be in the same unit ( minutes)
since 60 minutes =1 hour
2 hours = 2 (60) =120 minutes
Back with the equation:
120 x = 50
Solving for x
x = 50/120
x = 0.42
In percentage form:
0.42 x 100 = 42%
Please help ( geometry)
Fill in the missing proof
Answers
The missing proof in the given congruence of triangle is;
∠FAB = ∠FBA.
What is defined as the isosceles triangle?An isosceles triangle would be one with 2 sides of equal length. Below is a collection of some isosceles triangle properties:If two sides of an isosceles triangle are equal, therefore the angles opposite the two sides correspond with each other and are always equal.The two angles B and C, opposite the equal sides AB as well as AC in the isosceles triangle shown above, are equal.The isosceles triangle does have three acute angles, which means they are less than 90°.The sum of an isosceles triangle's three angles is always 180°.For the given question;
The given data in the triangle FAB is;
FD ≅ FCDA ≅ CBIn the step two,
FA = FB (Property of isosceles triangle)
Then, step 4 will be ∠FAB = ∠FBA.
Thus, the missing proof will be ∠FAB = ∠FBA.
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The Pythagorean Theorem
What is the distance between the points (1.7,-1) and (3.2,-1.8)?
Answers
Answer:
i hope it was good for you
Even though I already got the question right,I need someone to show the work on how to get the answer for this question.
Answers
Given
Answer
[tex]\begin{gathered} \sin x=\frac{P}{H} \\ \sin x=\frac{5}{8.3} \\ x=\sin ^{-1}(\frac{5}{8.3}) \end{gathered}[/tex]Which is triangle 2
Can someone please help answer the attached?
Answers
The variables we need to use in the question are defined. We will call the price of a knife as [tex]k[/tex] and the price of a spoon as [tex]s[/tex].
The total price of [tex]12[/tex] spoons and [tex]16[/tex] knives is then given. Let's write knives instead of [tex]4[/tex] spoons.
[tex]12s+16k=105.64[/tex][tex]3k+16k=105.64[/tex][tex]k=5.56[/tex] per knife.===================================================
Explanation:
k = cost of one knife
s = cost of one spoon
costs are in pounds
12s = cost of 12 spoons
16k = cost of 16 knives
12s+16k = 105.64 pounds is the total cost
We can replace k with 4s because of the phrasing "a knife is 4 times the cost of a spoon". Whatever s might be, quadruple it and it leads us to the value of k.
So,
12s+16k = 105.64
12s+16(4s) = 105.64
12s+64s = 105.64
76s = 105.64
s = 105.64/76
s = 1.39 pounds is the cost of one spoon
k = 4s = 4*1.39 = 5.56 pounds is the cost of one knife
----------------------
Check:
1 spoon = 1.39 pounds
12 spoons = 12*1.39 = 16.68 pounds
1 knife = 5.56 pounds
16 knives = 16*5.56 = 88.96 pounds
12 spoons + 16 knives = 16.68+88.96 = 105.64 pounds total
This fully verifies the answer.
You deposit $200 each month into an account earning 4% interest compounded monthly.
a) How much will you have in the account in 25 years?
$
b) How much total money will you put into the account?
$
c) How much total interest will you earn?
$
Answers
1. There will be $102, 826 in the account in 25 years.
2. The total amount of money you will put into the account is $60, 000
3. The total interest that you would have earned is $42,826.
How do you calculate total interest?For us to calculate the future value of the account in 25 years, we shoud use the formula; FV = P x (((1 + r)^nt - 1) / r)
When we insert the values, it will be
FV = 200 x (((1 + 0.04/12)^(12 x 25) - 1) / (0.04/12))
= 102, 825. 9. If we round this up, we should get
$102, 826
For us to calculate the total amount of money you put into the account, we should us the formula;
Total Deposits = Monthly Deposit x Number of Months
If we insert the values it wil be
200 x (25 x 12)
60,000
Lasty, if we are to find the total interest earned:
Total Interest = Future Value - Total Deposits
$102, 826 - 60,000
= $42,826
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help, please! ♡ (photo attached)
Answers
The rational equation is equivalent to the polynomial 27 · x² - 36 · x + 12.
How to simplify a rational equation by algebra properties
In this case we find a rational equation whose numerator and denominator are polynomials, which must be simplified by using algebra properties. The complete procedure is now shown:
(9 · x - 6)² / (2 · x⁴ + 4 - 2 · x⁴ - 1) Given
(81 · x² - 108 · x + 36) / (3) Perfect square binomial / Associative, commutative and modulative properties / Existence of additive inverse /Definition of subtraction
27 · x² - 36 · x + 12 Addition and subtraction of fractions with same denominator / Associative and commutative properties / Definition of division
The rational equation is equivalent to the polynomial 27 · x² - 36 · x + 12.
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What is the value of x?
Answers
Answer:
x=62
Step-by-step explanation:
X=62 because all angles of a triangle should add up to 180 degrees no matter what. All you have to do is subtract the already known angles in the triangles from 180 to receive your x value. 180-65-53=x 180-65-53=62.
-Hope this helps
Juanita has a part-time job that pays $12/hour and works about 50 hours every month. Her
withholdings are Social Security. (6.2%), Medicare (1.45%) and federal income tax (10%). What
is her approximate net pay?
a. $120
b. $500
c. $600
d. $700
Answers
B. 500 is the answer
The approximate net pay of Juanita is $500. Therefore, option B is the correct answer.
Given that, Juanita has a part-time job that pays $12/hour and works about 50 hours every month.
What is the net pay?Net pay means take-home pay or the amount employees earn after all payroll deductions are subtracted from their gross pay.
Now, total money earned in a month
= 12 × 50 = 600
Now
6.2% of 600 = $37.2
= 600 - 37.2 = $562.8
1.45% of 562.8 = $8.1606
= 562.8 - 8.1606 = $554.6394
10% of 554.6394 = $55.46394
= 554.6394 - 55.46394 = $499.17546
Total deductions = $499.17546
So, net pay = grass pay - deductions
= 600 - 105.9
= $499.17546
The approximate net pay of Juanita is $500. Therefore, option B is the correct answer.
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Graph the linear equations 65 points
Answers
Answer:
Step-by-step explanation:
What is the slope of this line?
What is the slope of this line?
Enter your answer as a whole number or a fraction in simplest form in the box.
Answers
Answer: 1
Step-by-step explanation: Rise over run, Rise/run. The rise is how much the line goes up or down vertically. The run is how far the line goes until it intersects through a square. The slope is 1 because if you look at the line specifically at the first dot, you just have to go down one and right one as it intersects the square to find the slope.
HELP ME PLSS OMLLL IMA CRY
Answers
Answer:
1. 15 pieces of candy
2. 48 cows
3. 81 ham subs
4. 24 boys
Step-by-step explanation:
Assuming you just want answers, but lmk
Solve the following LP formulation and determine the number of Surplus units in constraint B.
Answers
SOLUTION
From the what is given
[tex]\begin{gathered} x+y\le5 \\ x\ge3 \\ 2y\le8 \\ x\ge0 \\ y\ge0 \end{gathered}[/tex]We have the graph as shown below
We are told that the MAX is
[tex]5x+2y[/tex]Substituting these required points into the equation, our maximum becomes
[tex]\begin{gathered} 5x+2y \\ \text{For (3, 2)} \\ 5(3)+2(2)=15+4=19 \\ \text{For }(3,\text{ 0)} \\ 5(3)+2(0)=15+0=15 \\ \text{For (5, 0)} \\ 5(5)+2(0)=25+0=25 \end{gathered}[/tex]We can see that the maximum is 25 at for units of 5, that is x = 5
But we are told in (B) that
[tex]x\ge3[/tex]Hence the surplus unit is
[tex]5-3=2[/tex]Hence the answer is 2
arlett is playing a video game. She spends 900 minerals to create 18 workers. Each worker costs the same number of minerals.
Write an equation to describe the relationship between m, the amount of minerals, and w, the number of workers.
Answers
The required equation is m/w = 900/18
What is meant by an equation?
An equation is a formula in mathematics that expresses the equality of two expressions by linking them with the equals sign. The word equation and its cognates in various languages may have somewhat different definitions; for example, in French, an équation is defined as including one or more variables, but in English, an equation is any well-formed formula consisting of two expressions linked by an equals sign. Differential equations are equations in which one or more functions and their derivatives are involved. They are solved by locating a function expression that does not use derivatives. Differential equations are used to represent processes with variable rates of change in fields such as physics, chemistry, biology, and economics.
The required equation is m/w = 900/18
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