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Dovator [93]
4 years ago
11

He base of a pentagonal prism has an area of 2.4 m2. The prism has a volume of 4.8 m3. What is its height? Use sketches, formula

s and/or charts to justify your answer
Mathematics
1 answer:
77julia77 [94]4 years ago
3 0

Answer:

The height of the prism is 2m

Step-by-step explanation:

Given;

The volume of pentagonal prism, V = 4.8 m^3

Area of the prism, A = 2.4 m^2

To determine the height of the prism, we consider the following;

Volume of any prism = Area of the prism x height of the prism

Height of the prism = volume of the prism / Area of the prism

Height of the prism = 4.8 / 2.4

Height of the prism = 2 m

Therefore, the height of the prism is 2m

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SOMEONE PLS HELP
Kryger [21]

Answer:

9.42

Step-by-step explanation:

Since the angle shown is 90 degrees we can deduce that the rest of the arc is 270 degrees therefore we can make the fraction:

270/360; 360 being the total angle measurement of a circle

270/360 simplifies to 3/4

The fraction represents how much of the circle that arc covers

Now we have to find the circumference which would be

2(3.14)r

r = 2 therefore: 2(3.14)2 = 12.56

Now that we have the circumference of the WHOLE circle we multiply it by 3/4 to find out the arc length

Which gives us  9.42

3 0
2 years ago
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The rectangle below has an area of x^2-x-72x 2 ?x?72 square meters and a length of x+8x+8 meters. What expression represents the
Varvara68 [4.7K]

Answer:

Area of the rectangle is given by:

A = l \times w

where

A is the area of the rectangle

l is the length of the rectangle

w is the width of the rectangle respectively.

As per the given statement:

Area of the rectangle(A) =  x^2-x-72 square meters

length of the rectangle(l) = x+8

Substitute these in the given formula we have;

x^2-x-72 = (x+8) \times w

x^2-9x+8x-72 = (x+8) \times w

x(x-9)+8(x-9)= (x+8) \times w

or

(x+8)(x-9)= (x+8) \times w

Divide both sides by x+8 we have;

w = (x-9) meters.

Therefore, the expression represents the width of the rectangle is x-9 meters


4 0
4 years ago
Help asapppppppp as soon as possible ​
sergejj [24]

Answer:a

Step-by-step explanation:

Because sum means addition

7 0
3 years ago
In a random sample of fivefive microwave​ ovens, the mean repair cost was ​$75.0075.00 and the standard deviation was ​$13.0013.
Radda [10]
<h2>Answer with explanation:</h2>

As per given , we have

Sample size : n= 5

Degree pf freedom = : df= 5-1=4

\mu=\$75.00

\sigma=\$13.00

Significance level for 90% confidence = \alpha=1-0.90=0.1

Using t-value table , t-critical value for 90% confidence:

t_{\alpha/2, df}=t_{0.05, 4}=2.132.

Margin of error of \mu: E=t_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}\\\\(2.132)\dfrac{13}{\sqrt{5}}=12.3949720129\approx12.39

Interpretation : The repair cost will be within $12.39 of the real population mean value \mu 90% of the time.

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4 years ago
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ivolga24 [154]

Answer:

I think the answer is D.

Step-by-step explanation:

Five plus two times a number means 5 + 2n vice versa.

4 0
3 years ago
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