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3 years ago

Volume of triangular prism base 18in, height 9in, length 24in

Mathematics

1 answer:

padilas [110]3 years ago

8 0

Answer:

1944 in³

Step-by-step explanation:

We are given;

Dimensions of a triangular prism;

Base is 18 inches
Length is 9 inches, and
Length is 24 inches

We are required to determine the volume of the prism

To answer the question we need to know that the volume of a triangular prism is given by;

Volume = 0.5 × Width × height × Length

Therefore;

Volume = 0.5 × 18 in × 9 in × 24 in

= 1944 in³

Thus, the volume of the triangular prism is 1944 in³

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For what value of x of line a parallel to line b?

Ahat [919]

Answer:

The answer to your question is: x = 22

Step-by-step explanation:

If line a is parallel to line b, 4x + 28 = 116 (corresponding angles)

4x + 28 = 116

4x = 116 - 28

4x = 88

x = 88/4

x = 22

6 0

3 years ago

Read 2 more answers

The length of a flower garden is 9 meters. The width of the garden, w, is unknown. If the area of the garden is greater

muminat

Answer:

The width should be more than 5 m. So it can be 6,7 ...

Step-by-step explanation:

The length of a flower garden is = 9 m

The width of a flower garden is = w

The area of a flower garden > 45 sq. m

The area of a flower garden = l * b

l * b > 45

9 * b > 45

the width should be more than 5 m. So it can be 6,7 ...

5 0

3 years ago

Q15. Ken earned x dollars at his part-time job on Friday. His wife earned $12 more

mafiozo [28]

Ken earns 54 dollars at his part-time job on Friday

Given that Total amount earned by ken and his wife at their part-time job on Friday= $174

Money earned by ken= x dollars

Money earned by ken's wife = (2x+12) dollars

Total amount earned by ken and his wife at their part-time job on Friday= x dollars + (2x+12) dollars

(x + 2x + 12 ) dollars = $ 174 ( addition of ken and ken's wife income and total amount earned by ken and his wife at their part-time job on Friday is $174)

(3x + 12 ) dollars = $ 174

3x=$162

x= $\frac{162}{3}$

x= 54 dollars

Therefore,54 dollars were earned by ken at his part-time job on Friday

Hence,Ken earns 54 dollars at his part-time job on Friday

Learn more about dollars here:

brainly.com/question/14982791

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4 0

1 year ago

40. Find UW. T 6 5 U +- The measure of UW is type your answer...

Ahat [919]

Answer:

Step-by-step explanation:

UT^2 = UV * UW

6^2 = (x - 7)(x - 7 + 5)

36 = (x - 7)(x - 2)

36 = x^2 - 2x - 7x + 14

x^2 - 9x - 22 = 0

(x - 11)(x + 2) = 0

x - 11 = 0 or x + 2 = 0

x = 11

UW = x - 7 + 5

UW = 11 - 7 + 5

UW = 9

7 0

3 years ago

Given: F(x) = 5x - 6 and G(x) = x - 4

fomenos

Answer:

Correct choice is $\dfrac{x+26}{5}$

Step-by-step explanation:

1. If $F(x)=5x-6,$ then you can find the inverse $F^{-1}(x):$

$y=5x-6,\\ \\5x=y+6,\\ \\x=\dfrac{y+6}{5},\\ \\F^{-1}(x)=\dfrac{x+6}{5}.$

2. If $G(x)=x-4,$ then

$y=x-4,\\ \\x=y+4,\\ \\G^{-1}(x)=x+4.$

3. Hence,

$G^{-1}(F^{-1}(x))=G^{-1}\left(\dfrac{x+6}{5}\right)=\dfrac{x+6}{5}+4=\dfrac{x+26}{5}.$

7 0

3 years ago