1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
tatuchka [14]
2 years ago
8

What expression represents the volume of the prism, in cubic units? one-halfx3 one-halfx2 x 2x3 2x2 x

Mathematics
1 answer:
otez555 [7]2 years ago
7 0

Volume of prism = \frac{1}{2x^{3} } + x^{2}

Given that:

The oblique prism below has an isosceles right triangle base and the length of the base is x

=> the area of the base: \frac{1}{2} × x × x = \frac{1}{2}

The vertical height of the prism is (x + 2)

=> The volume of the oblique prism is:

                    V = the base area * the vertical height

<=> V = \frac{1}{2} x^{2} (x + 2)

<=> V =  \frac{1}{2x^{3} } + x^{2}

To learn more about volume of the prism from the given link

brainly.com/question/15892907

#SPJ4

You might be interested in
What if the diameter of the inner sphere is 1.8 meters. What is the volume of the inflated space?
Alona [7]

Answer:

Volume is 3.05m³

Step-by-step explanation:

This problem bothers on the mensuration of solid shapes, sphere

Step one

The formula for the volume of a sphere is expressed as

V=4/3πr³

Step two

Given data

Diameter d = 1.8m

Radius r = d/2= 1.8/2= 0.9m

Step three

Substituting our given data we have

V= 4/3*3.142*0.9³

V= 4/3*3.142*0.729

V= 9.162/3

V=3.05m³

4 0
3 years ago
On the number line below, length <br> AB= {?}
SVEN [57.7K]

Answer:

29 units

Step-by-step explanation:

The length of a segment of a number line is the difference of the coordinates of the end points:

45 -16 = 29

3 0
3 years ago
Factor z^2 – 3z – 18. A. (z + 3)(z – 6) B. (z – 3)(z – 6) C. (z + 8)(z – 10) D. (z + 2)(z – 9)
ozzi
Work shown above! Answer would be A!

5 0
3 years ago
A research group needs to determine a 90% confidence interval for the mean repair cost for all car insurance small claims. From
lutik1710 [3]

Answer:

a) z = 1.645

b) The should sample at least 293 small claims.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.9}{2} = 0.05

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.05 = 0.95, so z = 1.645, which means that the answer of question a is z = 1.645.

Now, find  the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

(b) If the group wants their estimate to have a maximum error of $12, how many small claims should they sample?

They should sample at least n small claims, in which n is found when

M = 12, \sigma = 124.88. So

M = z*\frac{\sigma}{\sqrt{n}}

12 = 1.645*\frac{124.88}{\sqrt{n}}

12\sqrt{n} = 205.43

\sqrt{n} = \frac{205.43}{12}

\sqrt{n} = 17.12

\sqrt{n}^{2} = (17.12)^{2}

n = 293

The should sample at least 293 small claims.

8 0
3 years ago
Probability of getting same number when rolling two dice
Soloha48 [4]
<span>6 of them are double 1,1 2,2 3,3 4,4 5,5 6,6
P(doubles)=6/36=1/6</span>
5 0
3 years ago
Other questions:
  • At 5:00 pm sandra jean read a temperature of 42°f what was the temperature after it changed -6 degrees
    14·1 answer
  • Alicia cashed her paycheck and used half her earnings to take three friends to dinner. She spent $42.15 on dinner and she brough
    12·2 answers
  • Whoever helps me will get a $50 i tunes gift card.
    10·2 answers
  • 3x/5=x-8 solve for x please the slash means divided by.
    5·1 answer
  • Solve the following system of equations <br> x + y =-5 <br> -3x - y =7
    6·2 answers
  • Chandra is training for a race. She ran 3/4 mile each day for 6 days?​
    12·1 answer
  • What direction will this object accelerate? Please give me an explanation as well I will be marking brainiest (NO LINKS)
    6·2 answers
  • 20/28 in its simplest form what is it ?
    14·1 answer
  • Sorry forgot to post pictures of the question on last post (here there are)
    6·1 answer
  • On a piece of paper, use a protractor to construct right triangle ABC with BC=5 cm, m∠B=60°, and m∠C=90°.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!