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AURORKA [14]
3 years ago
12

Using V =iwh what is an expression for the volume of the following prism​

Mathematics
1 answer:
vampirchik [111]3 years ago
7 0

Answer:

we know that

The volume of the prism is equal to

V=L*W*H

where

L is the length side of the base of the prism

W is the width side of the base of the prism

H is the height of the prism

In this problem we have

L=\frac{d-2}{3d-9}=\frac{d-2}{3(d-3)}

W=\frac{4}{d-4}

H=\frac{2d-6}{2d-4}=\frac{2(d-3)}{2(d-2)}=\frac{(d-3)}{(d-2)}

Substitute the values in the formula

V=\frac{d-2}{3(d-3)}*\frac{4}{d-4}*\frac{(d-3)}{(d-2)}=\frac{4}{3(d-4)}=\frac{4}{3d-12}

therefore

the answer is the option

4/3d-12

Step-by-step explanation:

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What is the value of w in the equation 3/4w+8=w-7
Soloha48 [4]
3/4w+8=w-7, add 7 to both sides 3/4w+15=w,subtract 3/4w from each side and you get 15=1/4w 3.75=w
5 0
3 years ago
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3(x + 4) - x/2 when x = 2
QveST [7]

Answer:

17

Step-by-step explanation:

Plug the 2 in where every "x" is.  Then PEMDAS

3(2+4) - 2/2

3(6) - 2/2

18 - 2/2

18 - 1

17

5 0
3 years ago
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The mean height of a Clydesdale horse is 72 inches with a standard deviation of 1.2 inches. What is the probability that a Clyde
Lubov Fominskaja [6]

Answer:

0.0062

Step-by-step explanation:

Given that:

Mean (μ) = 72 inches, Standard deviation (σ) = 1.2 inches.

The z score is a measure in statistics is used to determine by how many standard deviation the raw score is above or below the mean. If the raw score is above the mean, the z score is positive and if the raw score is below the mean, the z score is negative.

The z score is given as:

z=\frac{x-\mu}{\sigma}

For Clydesdale is greater than 75 inches tall, x = 75 inches, the z score is:

z=\frac{x-\mu}{\sigma}=\frac{75-72}{1.2} =2.5

The probability that a Clydesdale is greater than 75 inches tall = P(X > 75) = P(Z > 2.5) = 1 - P(Z < 2.5) = 1 - 0.9938 = 0.0062 = 0.62%

The probability that a Clydesdale is greater than 75 inches tall is 0.62%

3 0
3 years ago
NO LINKS!!! Find the measurement indicated. Round your answer to the nearest tenth.<br><br>​
My name is Ann [436]

Answer:

<u>Solutions given;</u>

<u>Using cosine rule</u>

b²=a²+c²-2*a*c*cos B°

b²=15²+8²-2*15*8*cos39

b²=102.48

b=\sqrt{102.48}

b=10.12

b=10.1

<u>Using sine rule</u>

\frac{sin A}{BC} = \frac{sin B}{AC}  =\frac{sin C}{AB}

\frac{sin 29°}{15}  =\frac{sin C}{8}

<u>Doing criss cross multiplication</u>

Sin C=\frac{sin 29°}{15} ×8

m<C=Sin -¹(0.29)

m<C=14.98

<u>m<C=15°</u><u>is</u><u> </u><u>a</u><u> </u><u>required</u><u> </u><u>answer</u><u>.</u>

4 0
3 years ago
Given the angles in the diagram, what is the angle measurement of the missing angle?
Eva8 [605]

Answer:

150*

Step-by-step explanation:

Using the formula (n -2) x 180* we find that there is 4 sides (n) and in put it and simplify to make (2)x180*. From there we calculate there is 360* in this polygon, and subtract the degrees already provided.  360-210=150

5 0
3 years ago
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