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2 years ago

Evaluate the expression shown below and write your answer as a fraction in simplest form.

Mathematics

1 answer:

Airida [17]2 years ago

6 0

Answer:

33/4=8.25 or 8 1/4

Step-by-step explanation:

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What is the surface area of this composite solid?______________ square feet 242 319 363 517

jeka57 [31]

Answer:

<h2>The right answer is 415.4 cubic feet.</h2>

Step-by-step explanation:

As you can observe in the image attached, the composite figure is formed by a square prism and a pyramid on top.

We need to find the volum of each part separately.

<h3> Square prism.</h3>

$V_{prims}=11 \times 11 \times 2=242 \ ft^{3}$

<h3>Square pyramid.</h3>

First, we need to find the height of the pyramid. We already know the height of each triangular face of the pyramid, which divides equally the side.

Let's use Pythagorean's Theorem to find the height of the pyramid.

$7^{2}=h^{2} +(5.5)^{2}\\ 49-30.25=h^{2}\\ h=\sqrt{18.75} \approx 4.3$

The height is 4.3 feet, approximately.

Now, we find the volume of the pyramid

$V_{pyramid}=\frac{1}{3}(11 \times 11 \times 4.3) \approx 173.4ft^{3}$

The sum of both figures represents the total volume of the composite figure

$V_{total}=242+173.4=415.4ft^{3}$

Therefore, the right answer is 415.4 cubic feet.

3 0

2 years ago

Read 2 more answers

A square picture on the front page of a newspaper occupies an area of 24 square inches. Find the length of each side of the squa

Hoochie [10]

Answer:

Well if you are trying to find the length of each side you Divide 24 by 4 so your answer would be 6

Step-by-step explanation:

5 0

2 years ago

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If it is 8:50 a.m., what will the time be 4 hours and 20 minutes later?

Stels [109]

Answer:

1:10 pm

Step-by-step explanation:

<em>60 minutes in an hour</em>, so

8:50am + <u>4 hours</u> = 12:50pm

12:50pm + <u>20 minutes</u> = 1:10pm

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3 years ago

The employees of two companies were asked how many times they checked their email during weekends. The table below shows the num

tekilochka [14]

Q1 of company A = 2.5
Q3 of company A = 8
Interquatile range = (Q3 - Q1)/2 = (8 - 2.5)/2 = 5.5/2 = 2.75

Q1 of company B = 2
Q3 of company B = 5.5
Interquatile range = (5.5 - 2)/2 = 3.5/2 = 1.75

Therefore, t<span>he interquartile range for Company A employees is 2 more than the interquartile range for Company B employees.</span>

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2 years ago

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In a crash safety test, engineers accelerate teo cars toward each other so that the fistance in meters between them is modeled b

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2 years ago

Evaluate the expression shown below and write your answer as a fraction in simplest form. ​

Evaluate the expression shown below and write your answer as a fraction in simplest form.