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Dmitrij [34]
2 years ago
7

What is the volume of this right prism? 96 in³ 60 in³ 48 in³ 44 in³

SAT
1 answer:
boyakko [2]2 years ago
4 0

Option C) 48in³ is the correct answer.

Hence, the volume of the right triangular prism is 48in³.

This question is incomplete, the missing diagram is uploaded along this answer.

Given the data in the question;

  • Side length a; a = 4in
  • Side length b; b = 5in
  • Side length c; c = 3in
  • Height; h = 8in

Volume; V = \ ?

<h3>Volume of right triangular Prism</h3>

Volume is simply the space created when a surface is enclosed , it is the space that a quantity material that can be held.

The volume of a right triangular prism can be expressed as;

V = \frac{1}{4}h\sqrt{(a+b+c)(b+c-a)(c+a-b)(a+b-c)}

To determine the volume of the right triangular prism, we substitute our given values into the expression above.

V = \frac{1}{4}h\sqrt{(a+b+c)(b+c-a)(c+a-b)(a+b-c)}\\\\V = \frac{1}{4}*8in*\sqrt{(4in+5in+3in)(5in+3in-4in)(3in+4in-5in)(4in+5in-3in)}\\\\V = \frac{1}{4}*8in*\sqrt{(12in)(4in)(2in)(6in)}\\\\V = \frac{1}{4}*8in*\sqrt{576in^4}\\\\V = \frac{1}{4}*8in*24in^2\\\\V = \frac{1}{4} * 192in^3\\\\V = 48in^3

Option C) 48in³ is the correct answer.

Hence, the volume of the right triangular prism is 48in³.

Learn more about volume of right triangular prism : brainly.com/question/17208216

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In a recent survey, 1358 arizona state university students were asked about their plans after graduation. The following results
lisov135 [29]

The answers to the given questions on the survey of students by the use of a Venn Diagram are;

A) Venn diagram attached

B) 57 Students

C) 811 Students

D) 785 Students

E) 67 Students

<h3>Understanding Venn Diagrams</h3>

We are given;

  • Total number of Students = 1358
  • Number of Students that plan to get a new job = 1194
  • Number of Students that plan to attend graduate school = 306
  • Number of Students that plan to buy a new car = 547
  • Number of Students that plan to do all three things = 46
  • Number of Students that plan to only attend graduate school = 28
  • Number of Students that plan to get a job and buy a new car, but not attend graduate school = 432
  • Number of Students that plan to get a new job and attend graduate school = 221

A) I have drawn a Venn Diagram to depict this given numbers of students and I have attached it.

B) From the venn diagram, we can see that the number of people that plan to attend graduate school and buy a new car, but not get a new job = 57

C) From the Venn diagram, we can calculate the number of students that do not plan to buy a new car is;

541 + 175 + 28 + 67 = 811

D) From the venn diagram, we can calculate the number of students plan to get a new job or buy a new car as;

541 + 175 + 12 + 57 = 785

E) From the venn diagram, we can see that the number of students that do not plan to get a new job, attend graduate school, nor buy a new car is; 67

The complete part of the question is;

A) Draw a Venn diagram that represents the situation consisting of 2. cardinalities.

B) How many people plan to attend graduate school and buy a new car, but not get a new job?

C) How many students do not plan a buy a new car?

D) How many students plan to get a new job or buy a new car?

E) How many students do not plan to get a new job, attend graduate school, nor buy a new car?

Read more about Venn Diagrams at; brainly.com/question/2099071

6 0
2 years ago
What is the following product? Assume x greater-than-or-equal-to 0 (4 x StartRoot 5 x squared EndRoot 2 x squared StartRoot 6 En
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Answer:

1

Explanation:

7 0
2 years ago
Find the value of z such that
Reika [66]

Answer:

z = 1.00

Explanation:

Given:

Probability of z value  = 0.6826

By using standard normal table for z value.

P(-z < Z < z) = 0.6826

P(Z < z) - P(Z < -z) = 0.6826

We know that

P(Z < z) + P(Z < -z) = 1

So,

2P(Z < z) - 1 = 0.6826

2P(Z < z) = 1 + 0.6826

2P(Z < z) = 1.6826

P(Z < z) = 1.6826 / 2

P(Z < z) = 0.8413  

So,

P(Z < 1.00) = 0.8413  

z = 1.00

5 0
3 years ago
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