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2 years ago

Find the surface area of the triangular prism.

Mathematics

1 answer:

Ivahew [28]2 years ago

6 0

The surface area of the triangular prism is 93 squared feet.

<h3>What is the surface area of the triangular prism?</h3>

The surface area of triangular prism is expressed as;

S.A = bh + ( s₁ + s₂ + s₃ )H

From the diagram;

h = 2ft
b or s₁ = 3ft
s₂ = 3ft
s₃ = 3ft
H = 10ft

We substitute our given values into the equation above.

S.A = bh + ( s₁ + s₂ + s₃ )H

S.A = (3ft × 2ft) + ( 3ft + 3ft + 3ft )10ft

S.A = 3ft² + ( 9ft )10ft

S.A = 3ft² + 90ft²

S.A = 93ft²

The surface area of the triangular prism is 93 squared feet.

Learn more about prisms here: brainly.com/question/21079821

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3 years ago

Consider the following hypothesis test:

KengaRu [80]

Answer:

(a) $t= -1.540$

(b) $0.10 < p < 0.20$

Step-by-step explanation:

Given

$H_o: =18$ $H_a: \ne 18$

$n = 48$

$\bar x = 17$

$\sigma = 4.5$

Solving (a): The test statistic

This is calculated as:

$t= \frac{\bar x - \mu_o}{\sigma/\sqrt n}$

So, we have:

$t= \frac{17 - 18}{4.5/\sqrt{48}}$

$t= \frac{- 1}{4.5/6.93}$

$t= \frac{- 1}{0.6493}$

$t= -1.540$ --- approximated

Solving (b): Range of p value

First, calculate the degree of freedom (df)

$df = n - 1$

$df = 48 - 1$

$df = 47$

Using:

$\alpha = 0.05$ --- significance level

The p value at: $df = 47$ is:

$p = 0.065133$

and the range is:

$0.05 * 2 < p < 2 * 0.10$

$0.10 < p < 0.20$

Solving (c): The conclusion

Compare the p value to the level of significance value

We have:

$p = 0.065133$

$\alpha = 0.05$

By comparison:

$p > \alpha$

because:

$0.065133 > 0.05$

<em>Hence, the conclusion is: fail to reject </em> $H_o$ <em></em>

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HU is the hypotenuse!
- IU is the opposite side of angle H
- and i'm pretty sure HI is the adjacent side to angle H!
-the hypotenuse is always the longest side and will be the opposite side of the right triangle. so angle i is the 90 degree angle, so the opposite side is HU which is also the longest!
- angle H is marked and you can see the opposite side of it is IU which is one of the legs of this triangle.
- adjacent just means like next to or beside so the side HI is next to the angle H which is also a leg of this triangle.
i hope this helps!!

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3 years ago