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riadik2000 [5.3K]
4 years ago
10

Find the volume of the tra ezoidal prism in the figure.

Mathematics
1 answer:
topjm [15]4 years ago
5 0

To solve this problem you must apply the proccedure shown below:

1. You can use the following formula for calculate the volume:

V=(\frac{a+b}{2})(h)(l)

Where:

a=6m\\b=12m\\h=8m\\l=3m

2. Now, you must substitute the values above into the formula:

V=(\frac{a+b}{2})(h)(l)\\V=(\frac{6m+12m}{2})(8m)(3m)\\V=216m^{3}

Therefore, the answer is the last option: D. 216 m³.

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Find f(2) if f(a) = -4a +5
Mrac [35]

Answer:

-3

Step-by-step explanation:

plug in 2 where a is

f(a)=-4(2)+5

f(a)=-3

8 0
4 years ago
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At a fabric store, fabrics are sold by the yard. A dressmaker spent $36.35 on 4.25 yards of silk and cotton fabrics for a dress.
Paha777 [63]

Answer:

The number of yards of silk = x = 1.5 yards

The number of yards of cotton = y = 2.75yards

Step-by-step explanation:

At a fabric store, fabrics are sold by the yard. A dressmaker spent $36.35 on 4.25 yards of silk and cotton fabrics for a dress. Silk is $16.90 per yard and cotton is $4 per yard.

Find the solution of the system of equations. Explain or show your reasoning

{x+y=4.25} ; {16.90x+4y=36.35}

Let the number of yards of silk = x

The number of yards of cotton = y

We are given the system of equations:

{x+y=4.25} ......Equation 1

x = 4.25 - y

{16.90x+4y=36.35}....... Equation 2

4.25 - y for x in Equation 2

16.90(4.25 - y) + 4y = 36.35

71.825 - 16.90y + 4y = 36.35

71.825 - 36.35 = 16.90 - 4y

35.475 = 12.90y

y = 35.475/12.90

y = 2.75 yards.

The number of yards of cotton = y

{x+y=4.25} ......Equation 1

x = 4.25 - y

x = 4.25 - 2.75

x = 1.5 yards

The number of yards of silk = x = 1.5 yards

6 0
3 years ago
Which is the correct answer when solving the equation using
SashulF [63]

Answer:

We conclude that the correct option is 'A'.

As I was able to get (6, -6) because  I was able to eliminate my y terms first.

Step-by-step explanation:

Given the system of equations

\begin{bmatrix}-4x-2y=-12\\ 4x+8y=-24\end{bmatrix}

solving using the elimination method

4x+8y=-24

+

\underline{-4x-2y=-12}

6y=-36

so

\begin{bmatrix}-4x-2y=-12\\ 6y=-36\end{bmatrix}

solve for y

6y=-36

Divide both sides by 6

\frac{6y}{6}=\frac{-36}{6}

y=-6

\mathrm{For\:}-4x-2y=-12\mathrm{\:plug\:in\:}y=-6

-4x-2\left(-6\right)=-12

-4x+12=-12

-4x=-24

Divide both sides by -4

\frac{-4x}{-4}=\frac{-24}{-4}

x=6

Thus, the solutions are:

x=6,\:y=-6

Therefore, we conclude that the correct option is 'A'.

As I was able to get (6, -6) because  I was able to eliminate my y terms first.

8 0
3 years ago
Find the measure of angle 126 degrees
natta225 [31]

the answer to the ? is 126

4 0
4 years ago
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What is the formula for finding the surface area of a rectangular prism?
inysia [295]
<span>A = 2wl + 2lh + 2hw

The formula is above. :)
</span>
7 0
3 years ago
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