Help me pleaseee......

Mathematics

1 answer:

Stels [109]3 years ago

6 0

Answer:

x = 6, side lengths = 36 and 18 ft

Step-by-step explanation:

If you use the Pythagorean theorem which is a squared + b squared = c squared, you get 40 squared + 6x squared + 3x squared. If you plug in 5 you get 5 × 6 = 30, and 3 × 5 = 18. So with 18 and 30, you squared them so you get 324 and 1296. Add them together and you get 1620, which is the nearest to 1600, which is 40 squared.

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What is the surface area of the triangular prism shown?

Lunna [17]

Answer:

The first step that we are going to do is to solve the area of the top rectangle. We are given a width of 15 cm and a length of 25 cm so we can just multiply them against each other to get the area.

$Area = l * w$

$Area = 25\ cm * 15\ cm$

$Area = 375\ cm^2$

The second side that we are going to solve for is the bottom rectangle. We are given a width of 12 cm and a length of 25 cm so lets just multiply them against each other to get the area.

$Area = l * w$

$Area = 25\ cm * 12\ cm$

$Area = 300\ cm^2$

The next area that we are going to determine is the back rectangle which has a width of 9 cm and a length of 25 cm so lets just multiply them against each other to get the area.

$Area = l * w$

$Area = 25\ cm * 9\ cm$

$Area = 225\ cm^2$

The final area that we have to determine are the side triangles. After determining the area of one triangle we will have to multiply it by 2 to get the area for both of the triangles. We are given a base of 12 cm and a height of 9 cm so lets just use the formula to find the area.

$Area = \frac{1}{2}* b*h$