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attashe74 [19]
2 years ago
7

The logo for a company is a regular hexagon inscribed inside a circle. The logo will be painted on the side of the company's off

ice building. The radius of the circle will be 8 ft. Find the area of the hexagon to the nearest whole foot.
Mathematics
1 answer:
stiks02 [169]2 years ago
6 0

The radius becomes the side length of six isosceles triangles. Assuming each triangle is equilateral, the height of each triangle is 4*(sqrt3).

The total area is 6 times .5*4(4sqrt3)=41.56121938 or 42 square feet
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What is the finance charge on $13,300 financed at 7.9 percent for 4 years if the monthly payment per $100 is $2.44?
luda_lava [24]

If you borrowed $100, then your monthly payment is $2.44

If you borrowed $200, then your monthly payment is 2*2.44 = 4.88

etc etc

We can set up a proportion

2.44/100 = x/13300

to figure out the monthly payment x. Cross multiply and solve for x

2.44*13300 = 100*x

100x = 2.44*13300

100x = 32452

x = 32452/100

x = 324.52

So the monthly payment is $324.52

An alternative way to get this monthly payment is to apply 2.44% to 13300, which is another way to view the phrase  "monthly payment per $100 is 2.44"

------------------

There are 48 months in 4 years (start with 12 mon = 1 yr, then multiply both sides by 4) so we multiply 48 by the monthly payment to get the result 48*324.52 = 15,576.96. This is the total amount you have to pay back which is the principal plus interest.

Subtract off the principal (amount borrowed) to find the interest or finance charge: 15,576.96 - 13,300 = 2,276.96

Answer: Choice B

5 0
2 years ago
Complete the square to rewrite y = x2 - 6x + 15 in vertex form. Then state
love history [14]

Since x^2 is the square of x and 6x is twice the product between x and 3, the second square must be 3 squared, i.e. 9.

So, if we think of 15 as 9+6, we have

x^2-6x+9+6 = (x-3)^2+6

Which is the required vertex form. This form tells us imediately that the vertex is the point (3,6).

Since the leading coefficient is 1, the parabola is facing upwards (it's U shaped), so the vertex is a minimum.

5 0
2 years ago
Grace drew a triangle. It's sides were 12 mm, 10 mm, and 11 mm. It has one obtuse angle and two acute angles. What triangle did
Mariana [72]

Answer:

Scalene triangle

Step-by-step explanation:

scalene triangle is a triangle where the lengths of all three sides are different, it comprises of both obtuse and acute angles,all giving a sum of 180 degrees

4 0
2 years ago
One division of a large defense contractor manufactures telecommunication equipment for the military. This division reports that
Zielflug [23.3K]

Answer:

At the 95% confidence level, management should not conclude that the percentage of rework for electrical components is lower than the rate of 12% for non-electrical components, since the upper bound of the confidene interval, which is 0.1339, is higher than 0.12.

Step-by-step explanation:

To reach a conclusion, we have to observe the confidence interval.

Should management conclude that the percentage of rework for electrical components is lower than the rate of 12% for non-electrical components?

Is the upper bound of the confidence interval lower than 12% = 0.12?

If yes, it should conclude that this percentage is lower.

Otherwise, it cannot conclude.

Confidence interval:

0.0758 to 0.1339

0.1339 is higher than 0.12.

So.

At the 95% confidence level, management should not conclude that the percentage of rework for electrical components is lower than the rate of 12% for non-electrical components, since the upper bound of the confidene interval, which is 0.1339, is higher than 0.12.

6 0
2 years ago
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Marks brothers is paying a dividend of 56.25 on each share how much will PRH receive in dividends
rewona [7]

We are given that each share will receive a dividend equal to 56.25. In this problem, we should have been given the total number of shares that PRH has so that we can know the dividend. Anyway, the formula to calculate the dividend is:

 

<span>Dividend = 56.25 * (Number of Shares)</span>

5 0
2 years ago
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