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photoshop1234 [79]
3 years ago
10

How do I show my work on the question 2

Mathematics
1 answer:
Sedaia [141]3 years ago
5 0
Do the work. how did you get the answer?
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Ha diameter of 9 inches?
m_a_m_a [10]

Question 1:

For this case we have that by definition, the area of a circle is given by:

A = \pi * r ^ 2

Where:

r: It is the radius of the circle.

They tell us that the diameter is 9 inches, then the radius is 4.5 inches. substituting we have:

A = \pi * (4.5) ^ 2\\A = \pi * 20.25\\A = 63.59

Thus, the area of the circle is63.59 \ in ^ 2

ANswer:

Option C

QUestion 2:

For this case we have that by definition, the volume of a cylinder is given by:V = \pi * r ^ 2 * h

Where:

r: It's the radio

h: It's the height

According to the data we have to:

r = 6.8 \ meters\\h = 14 \ meters

Substituting in the formula:

V = \pi * (6.8) ^ 2 * 14\\V = \pi * 46.24 * 14\\V = 2032.71

Finally, the volume of the cylinder is 2032.71 \ m ^ 3

Answer:

Option C

Question 3:

For this case we have that by definition, the volume of a cylinder is given by:

V = \pi * r ^ 2 * h

Where:

r: It's the radio

h: It's the height

According to the data we have to:

r = \frac {5} {2} = 2.5 \ feet\\h = 7.4 \ feet

Substituting in the formula:

V = \pi * (2.5) ^ 2 * 7.4\\V = \pi * 6.25 * 7.4\\V = 145.23

Finally, the volume of the cylinder is 145.23 \ ft ^ 3

Answer:

Option B

Question 4:

For this case we have that the volume of the bricks comes given by:

V = 11 * 5 * 3\\V = 165

The volume of each brick is 165 \ in ^ 3.

On the other hand, we have that the volume of the crate is also obtained by multiplying its three dimensions, that is:

V = 55 * 20 * 12V = 13,200

Thus, the volume of the crate is 13,200 \ in ^ 3

We divide the volume of the crate between the volume of the brick to know the quantity:

\frac {13,200} {165} = 80

Thus, 80 bricks fit.

Answer:

Option A

3 0
3 years ago
Read 2 more answers
Please answer this question with full working and explanation
Rudik [331]

Answer:

3 7/12

Step-by-step explanation:

First find the common denominator.

8,16,24

3,6,9,12,15,18,24

Once you find the common denominator. You have to fix the numerator.

7 2/8 would become 7 6/24

Whole numbers stay the same.

8 x 3 = 24

2 x 3 = 6

Now we repeat it on the other mixed number.

3 2/3 would become 3 16/24

Again whole numbers stay the same.

3 x 8 = 24

2 x 8 = 16

Once you convert the fractions to having the same denominator you subtract like normal.

7 6/24 - 3 16/24 = 3 14/24

3 14/24 can be simplified to 3 7/12

7 0
2 years ago
Read 2 more answers
In ΔTUV, the measure of ∠V=90°, the measure of ∠T=16°, and VT = 4.9 feet. Find the length of TU to the nearest tenth of a foot.
RSB [31]

<u>Given</u>:

Given that TUV is a right triangle.

The measure of ∠T is 16°

The length of VT is 4.9 feet.

We need to determine the length of TU.

<u>Length of TU:</u>

The length of TU can be determined using the trigonometric ratio.

Thus, we have;

cos \ \theta=\frac{adj}{hyp}

where \theta=16^{\circ}, adj = TV and hyp = TU

Thus, we get;

cos \ 16^{\circ}=\frac{4.9}{TU}

Simplifying, we get;

TU=\frac{4.9}{cos \ 16^{\circ}}

TU=\frac{4.9}{0.9613}

TU=5.097

Rounding off to the nearest tenth, we get;

TU=5.1

Thus, the length of TU is 5.1 feet.

6 0
3 years ago
What is the ratio of 48 to 9?
weeeeeb [17]
Ratio is 48:9 so when you simply that you will get 16/3 = 5.33333
5 0
3 years ago
If you like anime comment your favorite
aleksklad [387]

Answer:

seven deadly sins a W

Step-by-step explanation:

5 0
3 years ago
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