What is the height of the prism if there is 30 square centimeters and the volume is 90 cubic centimeters

Answers

Answer 1

Answer:

the height of the prism =3cm

Step-by-step explanation:

From the question :there is 30 square centimeters, we can deduce this is the area due to the unit

the volume is 90 cubic centimeters

Volume of prism = Area of base × height

We are to determine the height

90cm³ = 30cm² × height

divide both sides by 30cm²

height = 90cm³/30cm²

height = 3cm

Therefore the height of the prism is 3centimeters


Related Questions

If Ahmed scored 45% in a test and the maximum mark was 60, what was his mark for the test?​

Answers

Answer: 27

Step-by-step explanation:

45% is equal to .45.

.45 x 60 = 27.

If we multiply .45 by 60, we get 27. Therefore, Ahmed got 27 marks out 60.

If you want to check your answer, you can divide 27/60 to get .45.

Answer:

[tex]\boxed{27 \ Marks}[/tex]

Step-by-step explanation:

Total Marks = 60

Ahmed Scored in the test = 45% of 60

=> [tex]\frac{45}{100} * 60[/tex]

=> [tex]\frac{45}{10} * 6[/tex]

=> 4.5 * 6

=> 27 Marks

Please help, thanks :) (Question is attached below)

Answers

Answer:

Step-by-step explanation:

the upper left graph is the correct answer

because "... or equal to" always represents a filled dot, while just "greater/less than" represents blank dot

Choose the best estimate for the division problem below.
38.064/6.12
A. 9
B. 4.
c. 6

Answers

Answer:

c.6

Step-by-step explanation:

I would estimate 6.12 to 6 and 38.064 because I know 36 is a common denominator of 6. 36/6=6

Hope this helps.

An oblique cone has a height equal to the diameter of the base. The volume of the cone is equal to 18π cubic units.

An oblique cone has a diameter of 2 x and a height of 2 x. The volume of the cone is 18 pi cubic units.

What is the radius of the cone?

Answers

Answer:

3

Step-by-step explanation:

plug in the values in the formula of volume of cone

18pi=pi(x^2)(2x)(1/3)

then solve for x

multiply both sides by 3 : 54pi = pi(x^2)(2x)

divide pi from both sides : 54 = (x^2)(2x)

divide 2 from both sides : 27 = x^3

cube root of both sides : 3 = x

Answer: 3

Step-by-step explanation:

edg 2020

PLEASE HELP
What is the y-intercept of the given graph? -4 3 4 None of these choices are correct.

Answers

Answer:

3

Step-by-step explanation:

the line crosses the y-axis at (0,3)

Answer:

3

Step-by-step explanation:

The y intercept is where the graph crosses the y axis  ( where x =0)

The lines crosses at y=3

Y intercept is 3

Which statements are true about the solution of 15 greater-than-or-equal-to 22 + x? Select three options. x greater-than-or-equal-to negative 7 x less-than-or-equal-to negative 7 The graph has a closed circle. –6 is part of the solution. –7 is part of the solution.

Answers

Answer:

[tex]x \leq -7[/tex]

The graph has a closed circle.

–7 is part of the solution.

Step-by-step explanation:

Given

[tex]15 \geq 22 + x[/tex]

Required

Select 3 options from the given list of options

[tex]15 \geq 22 + x[/tex]

Subtract 22 from both sides

[tex]15 - 22 \geq 22 - 22+ x[/tex]

[tex]-7 \geq x[/tex]

Swap positions of the expression; Note that the inequality sign will change

[tex]x \leq -7[/tex]

This means  x less-than-or-equal-to negative 7

There are two options left to select;

The inequality sign in [tex]x \leq -7[/tex] implies that the graph has a close circle.

Inequality signs such as [tex]\leq[/tex] and  [tex]\geq[/tex] signifies a close circle

There is only one option left to select;

Lastly;

Split the expression [tex]x \leq -7[/tex] into two

We have:

[tex]x < -7[/tex] or [tex]x = -7[/tex]

Because [tex]x = 7[/tex],

Then, -7 is also a part of the solution

Answer:

B) x less-than-or-equal-to negative 7

C) The graph has a closed circle.

E) –7 is part of the solution.

Step-by-step explanation:

Im not 100% sure but i am 95% sure they r

PLEASE HELP ME I DONT UNDERSTAND AND NOW IM WRITING STUFF TO GET AT LEAST 20 WORDS SO I CAN ASK THE QUESTION

Answers

Answer:

The answer is 75 degrees

Step-by-step explanation:

Supplementary angles add to 180 and 105 + Y= 180.

So, you subtract 105 from 180 and Y is 75

The graph of g(x) resembles the graph of f(x)=x^2, but it has been changed. Which of these is the equation of g(x)?

Answers

Answer:

A.

Step-by-step explanation:

We need to find the equation where, if x is equal to 3, g(x) is equal to 1, because g(x) passes through the point (3,1)

Then, replacing x by 3 on every option we get:

[tex]g(x)=(\frac{1}{3}x)^2= (\frac{1}{3}3)^2=1\\g(x)=(\frac{1}{9}x)^2= (\frac{1}{9}3)^2=\frac{1}{9}\\g(x)= \frac{1}{3}x^2= \frac{1}{3}3^2=3\\g(x)=3x^2=3*3^2=27[/tex]

So, the answer is A. because g(x) is equal to 1

An observational study is described. Determine the given element. An educational researcher used school records to determine that, in one school district, 84% of children living in two-parent homes graduated high school while 75% of children living in single-parent homes graduated high school. Determine the parameter of interest. Group of answer choices

Answers

Answer:

Step-by-step explanation:

The parameter of interest summarizes the population of interest as a whole. It also gives the value that summarizes the entire population

In this case study the parameter of interest is all children in both two parents and single parent homes living in school districts.

HELP WITH THIS , PLEASE .​

Answers

Answer:

writing the answer would be confusing so i went on and wrote it on the page click image the attached to see the answers    

Courtney constructed this figure using a compass with its width set equal to PR, the radius of the circle. She claims triangle PRS is equilateral because all three sides of the triangle are equal to PR. She also claims that applying the same argument to prove each triangle in the figure is equilateral proves that the inscribed hexagon is also equilateral. Which statement is true? A. Courtney's reasoning about triangle PRS is correct, but the hexagon is not equilateral. B. Courtney's reasoning about triangle PRS is correct, and the hexagon is equilateral. C. Courtney's reasoning about triangle PRS is incorrect, and the hexagon is not equilateral. D. Courtney's reasoning about triangle PRS is incorrect, but the hexagon is equilateral.

Answers

Answer:

B

Step-by-step explanation:

It helps if you have the figure included. However, since it is not, we can assume that she has gone around the circle with all six sides of the hexagon is set to PR.

That makes the hexagon with 6 equal sides. It also makes each triangle using one of the sides equal to PR. The radii are all equal. There are 6 triangles making up the hexagon.

Both statements she makes are true and that makes B the answer.

3/x-2, i'm confused as to what the horizontal asymptote is. The resources I found online conclude that it has a horizontal asymptote of y=0. I know that in order for a horizontal asymptote to be y=0, the denominator has to have a greater degree than the numerator. Im confused because doesn't the numerator have the same degree as the denominator (degree of 1)?

Answers

Answer:

y = 0

Step-by-step explanation:

Given

f(x) = [tex]\frac{3}{x-2}[/tex]

The degree of the numerator is zero 0 (  3[tex]x^{0}[/tex] )

The degree of the denominator is 1

Since the degree of denominator > degree of numerator.

Then there is a horizontal asymptote at y = 0

For cleaning the attic Jasmine was given $10.15. Now she has $23.43. How much money did she have before?

Answers

Answer:

13.28

Step-by-step explanation:

Take the total amount she has and subtract what she just earned

23.43 - 10.15

13.28

This is what she had before she started cleaning

Answer:

Step-by-step explanation:

23.43 - 10.15= 13.28 $

Help help help help help

Answers

first you need to factor the problems by using a couple of different methods, but the easiest could be the factor tree:

for example with 4-6a

you would put 4 = 2•2 so 2 is it’s GCF
and 6= 3•2 so 3 is it’s GCF

however the question is asking for the combined GCF (meaning the whole problem)

so 4-6a’s GCF would be 2 considering it is the only greatest common factor between BOTH numbers

for 12a^2 - 8a you would use the same method:

12a^2= 3a•2a•2 and 3a is it’s GCF
8a = 2•2•2a and 2a is it’s GCF

but combined, the greatest factor BOTH numbers have in common is 2a, so 2a is the answer!

i hope i helped you :)!❤️

Which equations represents inverse variation? Check all that apply

Answers

An inverse variation can be represented by the equation xy=k or y=kx . That is, y varies inversely as x if there is some nonzero constant k such that, xy=k or y=kx where x≠0,y≠0

Which of the following statements is true

A. The relationship is a function because there are no two y-values corresponding to the same x-value

B. The relationship is not a function because there is more than one x value corresponding to y=2

C. The relationship is not a function because there are values of y that have no corresponding x- value

D. The relationship is not a function because each y has a corresponding x-value

Answers

A because it is a function because no two y-values correspond to the same x-value.

Write an expression for the cost of 12 uniforms, multiply 12 by the cost of 1 uniform.

Answers

Answer:

384

Step-by-step explanation:

the cost of the shirt is 13, pants is 11, and 8 for socks

13+11+8=32

the cost of 12 uniforms:12(13+11+8)=384

what is 2 add 1 PS first person to get it correct gets brainiest and thank

Answers

Hey There!!

Your answer will be 3.

Step-by-step explanation:

Because, 2 + 1 = 3

Answer:

Hey!

Your answer is 3!

Step-by-step explanation:

2 + 1 = 3!

Hope this helps!

:>

evaluate:
(5-6)^2 x (4+3)​

Answers

Answer:

7

Step-by-step explanation:

( -1 ) ^ 2 = 1 * ( 4 + 3 ) 1 * ( 4 + 3 ) = 71 * 7 = 7

i Hope this helps

Answer:

7

Step-by-step explanation:

[tex] {(5 - 6)}^{2} \times (4 + 3)[/tex]

Calculate the difference

[tex] = {( - 1)}^{2} \times (4 + 3)[/tex]

Add the numbers

[tex] = {( - 1)}^{2} \times 7[/tex]

Evaluate the power

[tex] = 1 \times 7[/tex]

Any expression multiplied by 1 remains the same

[tex] = 7[/tex]

Hope this helps...

Best regards!!

Martin took 16s to run 120m. What was his speed in m/s ?

Answers

V= d/t
120/16
=7.5 m/s

Write an inequality:

from (–5) to (–1) inclusive

Answers

Answer:

Inclusive means that we'll use the signs ≤ and ≥. Let's call the variable in our inequality as x. Therefore, the answer is -5 ≤ x ≤ -1.

A(n)=-5+6(n-1).. what’s the 12th term?

Answers

Answer:

The answer is 61

Step-by-step explanation:

To find each n term replace the n with term u need to find .

A(12)= -5+6(12-1)

=-5+6(11)

=61

Answer:

61

Step-by-step explanation:

A(n)=-5+6(n-1)

Let n = 12

a(12) = -5 + 6(12-1)

         -5+6(11)

       -5+66

         61

 

Identify the domain of the function shown in the graph.

Answers

Answer:

4 ≤x≤10

Step-by-step explanation:

The domain is the value that the input takes

X is the input

X goes from 4 to 10

4 ≤x≤10

Can somebody plz help me [-5+(-7)]^2-(7+3)^2

Answers

Answer:

[tex]\boxed{44}[/tex]

Step-by-step explanation:

[tex][-5+(-7)]^2-(7+3)^2[/tex]

Resolving Parenthesis

[tex](-5-7)^2-(10)^2\\(-12)^2-100\\144-100[/tex]

=> 44

Answer:

[tex]\boxed{44}[/tex]

Step-by-step explanation:

[tex][-5+(-7)]^2-(7+3)^2[/tex]

Solve for brackets first.

[tex][-12]^2-(10)^2[/tex]

Solve the exponent or power.

[tex]144-100[/tex]

Subtract the numbers.

[tex]=44[/tex]

Kabir wants to know the volume of a solid right pyramid with a square base.

Answers

oooo kabir good luck!

Write an equation of the line that passes through the point (-6, -5) with slope 6.


A. y +5= -6(x+6)
B.y+6= -6(x+5)
C. y+6=6(x+5)
D.y+5= 6(x+6)

Answers

Answer:

Option (D) is the correct option.

Step-by-step explanation:

Let the equation of a line which passes through (x', y') and slope 'm' is,

y - y' = m(x - x')

If this line passes through a point (-6, -5) and slope 'm' = 6

Equation of the line will be,

y -(-5) = 6[x - (-6)]

y + 5 = 6(x + 6)

Therefore, equation the line will be y + 5 = 6(x + 6).

Option (D) will be the answer.

Name the postulate or theorem you can use to prove...

Answers

The correct answer is B) ASA postulate

solve : 3/2 X -7/2 = 5x +14

Answers

Answer:

The answer to your question is -5

Step-by-step explanation:

Data

            [tex]\frac{3}{2}x - \frac{7}{2} = 5x + 14[/tex]

Process

1.- Subtract 5x in both sides

            [tex]\frac{3}{2} x - \frac{7}{2} - 5x = 5x -5x + 14[/tex]

2.- Simplify

           [tex]- \frac{7}{2} x - \frac{7}{2} = 14[/tex]

3.- Add 7/2 in both sides

           [tex]-\frac{7}{2} x = 14 + \frac{7}{2}[/tex]

4.- Simplify

           - [tex]\frac{7}{2} x = \frac{35}{2}[/tex]

5.- Solve for x

               x = [tex]\frac{35}{2} / - \frac{7}{2}[/tex]

6.- Simplify

               x = -5

Answer: x = -3.71

Step-by-step explanation:

3/2*-7/2=5x+14

-4.55=5x+14

Subtract 14

-18.55=5x

Divide by 5

x = -3.71

Hope it helps <3

the product of five and a certain number is twelve​

Answers

Answer:

Step-by-step explanation:

Hello

5 * [tex]\boxed{ }[/tex] = 12

so this number is

[tex]\boxed{ \ } = \dfrac{12}{5}[/tex]

Hope this helps

Answer:

[tex]\frac{12}{5}[/tex]  or 2.4

Step-by-step explanation:

→ Form an equation

5 × ? = 12

→ Divide both sides by 5

? =  [tex]\frac{12}{5}[/tex]  or 2.4

PLEASEEEEEEEEEEEEE HELPPPPPPPPPPP!

Answers

B because the entire function is shifted 4 units to the right. (And because the operation effects x, - correspondents to right and + corresponds to left).
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