All categories

2 years ago

PLEASE HELP! Find the surface area of the right triangular prism.

Mathematics

1 answer:

slega [8]2 years ago

4 0

Answer:

1200 in²

Step-by-step explanation:

The surface area of the prism is the sum of the lateral area and the areas of the bases.

<h3>lateral area</h3>

The lateral area is the total area of the three rectangular faces. It can be computed from ...

LA = Ph

where P is the perimeter of the triangular base, and h is the height of the prism (the distance between triangular bases).

The perimeter is the sum of the edge lengths of the base:

P = 30 in + 17 in + 17 in = 64 in

Then the lateral area is ...

LA = (64 in)(15 in) = 960 in²

The two bases are congruent triangles, so have a total area of ...

A = 2(1/2bh) = bh

where b is the base of the triangle, and h is its height.

A = (30 in)(8 in) = 240 in²

<h3>total surface area</h3>

The sum of lateral area and base area is ...

total area = (960 in²) +(240 in²) = 1200 in²

The surface area of the triangular prism is 1200 square inches.

You might be interested in

What is the value of 1/2 x power of 3 + 5.3y, when x = 2 and y = 3? (1 point)

sleet_krkn [62]

1/2 (2) + 3 + 5.3 (3)
1 + 3 + 15.9
19.9

6 0

3 years ago

Read 2 more answers

Manuel is filling water balloons at a constant rate of 3 water balloons per minute.

Nesterboy [21]

75 watch balloons filled in 40 mins

6 0

3 years ago

An isosceles triangle always has three interior angles that measure 60° each.

Nataly [62]

Answer:

False

Step-by-step explanation:

The definition given is that of an equilateral triangle, NOT that of an isosceles triangle. An isosceles triangle has <em>at least</em> two angles that are equal by definiton. They need not be 60 degrees. For example, a triangle with angle measures of 140, 20, and 20 is an isosceles triangle because two of the angles are equal. Hope this helped!

5 0

3 years ago

Test the claim that the mean GPA of night students is larger than 3.1 at the .10 significance level. The null and alternative hy

Alborosie

Answer:

H 0 : μ = 3.1 H 1 : μ > 3.1

And this test is defined a a right tailed test since the symbol for the alternative hypothesis H1 is >.

$t = \frac{3.13-3.1}{\frac{0.03}{\sqrt{75}}}= 8.66$

$df = n-1=75-1 =74$

The p value is:

$p_v = P(t_{74} >8.66) =3.65x10^{-13}$

The significance level is: 0.1 or 10%

And since the p value is very low compared to the significance level we have enough evidence to:

Reject the null hypothesis

Step-by-step explanation:

For this case we want to test the claim that mean GPA of night students is larger than 3.1 at the .10 significance level. The claim needs to be on the alternative hypothesis so then we have the following system of hypothesis:

H 0 : μ = 3.1 H 1 : μ > 3.1

And this test is defined a a right tailed test since the symbol for the alternative hypothesis H1 is >.

We have the following info given:

$\bar X = 3.13 , s =0.03 , n =75$

The statistic to check the hypothesis is given by:

$t = \frac{\bar X -\mu}{\frac{s}{\sqrt{n}}}$

Replacing the info given we got:

$t = \frac{3.13-3.1}{\frac{0.03}{\sqrt{75}}}= 8.66$

The degrees of freedom are given by:

$df = n-1=75-1 =74$

The p value since is a right tailed ted is given by:

$p_v = P(t_{74} >8.66) =3.65x10^{-13}$

The significance level is 0.1 or 10%

And since the p value is very low compared to the significance level we have enough evidence to:

Reject the null hypothesis

6 0

3 years ago

There are 30 children eating ice cream. 2/5 of the children have chocolate. 1/3 of them have vanilla. The rest have strawberry.

defon

Answer:

28/2

Step-by-step explanation:

8 0

3 years ago