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Elena L [17]
3 years ago
11

Solve For X (see picture below) thank you!

Mathematics
1 answer:
Wewaii [24]3 years ago
7 0
X = 9
HJsjshsjakan s d
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PLS HELP 50 POINTS
PtichkaEL [24]

Answer:

\text{Volume of prism made by }\Delta XYZ=2304\text{ in}^3  

Step-by-step explanation:

Let us assume that both prisms are similar, so we can use proportions to solve for the volume of prism made by triangle XYZ.

Let us find the proportion between the sides of both triangles.

\frac{\text{Side of triangle XYZ}}{\text{Side of triangle PQR}}=\frac{24}{36}

\frac{\text{Side of triangle XYZ}}{\text{Side of triangle PQR}}=\frac{12*2}{12*3}

\frac{\text{Side of triangle XYZ}}{\text{Side of triangle PQR}}=\frac{2}{3}

Since for volume of triangular prism we multiply base area and height of the prism, this means we will have to multiply the proportion of each side length 3 times to find the proportion of volumes between our both prism.

So we can set proportion for volume of both prisms as:

\frac{\text{Volume of prism made by triangle XYZ}}{\text{Volume of prism made by triangle PQR}}=(\frac{2}{3})^3  

\frac{\text{Volume of prism made by triangle XYZ}}{\text{Volume of prism made by triangle PQR}}=\frac{8}{27}

Upon substituting volume of prism made by triangle PQR we will get,

\frac{\text{Volume of prism made by triangle XYZ}}{7776\text{in}^3}=\frac{8}{27}    

Let us multiply both sides of our equation by 7776 cubic inches.

\frac{\text{Volume of prism made by triangle XYZ}}{7776\text{ in}^3}*7776\text{ in}^3=\frac{8}{27}*7776\text{ in}^3

\text{Volume of prism made by triangle XYZ}=8*288\text{ in}^3

\text{Volume of prism made by triangle XYZ}=2304\text{ in}^3  

Therefore, the volume of prism made by triangle XYZ is 2304 cubic inches.

7 0
3 years ago
ASAP PLS I NEED IT AND TY
mars1129 [50]
<h2>Dilations and Scale Factors</h2>

When we're solving with scale factors, we either divide or multiply.

If the shape becomes larger, we multiply to get the new length.

If the shape becomes smaller, we divide to get the new length.

<h2>Solving the Question</h2>

We're given:

  • Original side length is 2.5 units
  • Scale factor = 6

Because the shape becomes larger, we have to multiply the original side length by the scale factor, 6, to get the new side length.

2.5 x 6 = 15

Therefore, the missing side length is 15 units.

<h2>Answer</h2>

15 units

8 0
1 year ago
Read 2 more answers
The length of a rectangle is 5m longer than the width. If the perimeter of the rectangle is 58 m, find its length and width
LekaFEV [45]

Answer:

L = 17 m W = 12 m

Step-by-step explanation:

Here is the answer.

3 0
3 years ago
Need help with trigonometry
vovangra [49]

Answer:

\sf \tan(A) & =\dfrac{9\sqrt{22}}{44}

Step-by-step explanation:

If angle C is the right angle, then side c is the hypotenuse.

Use Pythagoras' Theorem a^2+b^2=c^2 to find the length of side a:

Given:

  • b = 2√22
  • c = 13

\implies a^2+(2 \sqrt{22})^2=13^2

\implies a^2+88=169

\implies a^2=81

\implies a=\sqrt{81}

\implies a=9

<u>Tan Trig Ratio</u>

\sf \tan(\theta)=\dfrac{O}{A}

where:

  • \theta is the angle
  • O is the side opposite the angle
  • A is the side adjacent the angle

Given:

  • \theta = A
  • O = side opposite angle A = a = 9
  • A = side adjacent angle A = b = 2√22

\begin{aligned}\implies \sf \tan(A) & =\dfrac{9}{2\sqrt{22}}\\\\ & =\dfrac{9}{2\sqrt{22}} \times \dfrac{\sqrt{22}}{\sqrt{22}}\\\\ & = \dfrac{9\sqrt{22}}{44} \end{aligned}

6 0
1 year ago
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Which of the following functions has the largest value when x = 4?
Stells [14]
e(4)=4^2+6 \times 4+21=16+24+21=61 \\ \\&#10;m(4)=8 \times 4=32 \\ \\&#10;v(4)=31 \times 4=124

v(x) has the largest value when x=4.
3 0
2 years ago
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