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Given ∆ABC, with a = 9 , b = 8 and c =13, find angle c

strojnjashka [21]

Answer:

angle c is 13 as it said in the question

Step-by-step explanation:

6 0

2 years ago

Paula's house is assessed at $213,000, and her property tax rate is 2.9%. How

NARA [144]

Answer:A

Step-by-step explanation:

She is taxed at a rate of 2.9%, so each year she is taxed 213000 * 2.9% . calculating this, we find that every year, she must pay 6177 in taxes. However, we need the amount in a month, so we divide by 12, to get 6177/12= 514.75, or A

3 0

2 years ago

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What is the area of the sector? Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi and enter

n200080 [17]

Question:

What is the area of the sector? Either enter an exact answer in terms of π or use 3.14 and enter your answer as a decimal rounded to the nearest hundredth.

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete as the values of radius and central angle are not given.

However, I'll answer the question using the attached figure.

From the attached figure, the radius is 3 unit and the central angle is 120 degrees

The area of a sector is calculated as thus;

$Area = \frac{\alpha }{360} * \pi r^2$

Where $\alpha$ represents the central angle and r represents the radius

By substituting $\alpha = 120$ and r = 3

$Area = \frac{\alpha }{360} * \pi r^2$ becomes

$Area = \frac{120}{360} * \pi * 3^2$

$Area = \frac{1}{3} * \pi * 9$

$Area = \pi * 3$

$Area = 3\pi$ square units

Solving further to leave answer as a decimal; we have to substitute 3.14 for $\pi$

So, $Area = 3\pi$ becomes

$Area = 3 * 3.14$

$Area = 9.42$ square units

Hence, the area of the sector in the attached figure is $3\pi$ or 9.42 square units

8 0

2 years ago

Write two numbers that multiply to the value on top and add to the value on bottom.<br> 27<br> -12

mariarad [96]

Multiply 3x9 and it gives u 27
And -3 plus -9 equal -12

4 0

2 years ago

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Soft drinks are sold in aluminum cans that measure 6 inches in height and 2 inches in diameter. How many cubic inches of drink a

pychu [463]

Answer:

113.04 cubic inches.

Step-by-step explanation:

We have been given that soft drinks are sold in aluminum cans that measure 6 inches in height and 2 inches in diameter.

To find the amount of drink contained in 6 cans, we will find the volume of 1 can using volume of cylinder formula.

$\text{Volume of cylinder}=\pi r^2h$ , where,

r = Radius of cylinder,

h = Height of cylinder.

First of let us divide diameter of given cylinder by 2 to get the radius of our cylinder as diameter is 2 times the radius.

$\text{Radius}=\frac{2\text{ inches}}{2}$

$\text{Radius}=1\text{ inch}$

Upon substituting our given values in volume formula we will get,

$\text{Volume of can}=\pi*\text{(1 inch)}^2*\text{6 inch}$

$\text{Volume of can}=3.14*\text{(1 inch)}^2*\text{6 inch}$

$\text{Volume of can}=18.84\text{ inch}^3$

Therefore, one can of soft drink contains 18.84 cubic inches of drink.

To find the amount of drink contained in 6 cans we will multiply volume of 1 can by 6.

$\text{Volume of 6 cans}=6\times 18.84\text{ inch}^3$

$\text{Volume of 6 cans}=113.04\text{ inch}^3$

Therefore, 6 cans of soft drink contain 113.04 cubic inches of drink.

4 0

2 years ago