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Katena32 [7]
3 years ago
12

Find the area of the regular polygon below and round your answer to the nearest tenth.

Mathematics
1 answer:
stira [4]3 years ago
4 0
The 9-sided polygon will have a central angle between the vertex and the center of one side of 360°/(2*9) = 20°. Then the apothem is
  a = (6 in/2)*cot(20°) ≈ 8.242432 in
The perimeter is 9*6 in = 54 in, so the area is
  A = (1/2)Pa = (1/2)*(54 in)*(8.242432 in) ≈ 222.5 in²
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What is log(4k-5)=log(2k-1)?
Paha777 [63]
Log(4k - 5) = log(2k - 1)
log(4k) - log(5) = log(2k) - log(1)
0.6020599913k - 0.6989700043 = 0.3010299957k - 0
0.6020599913k - 0.6989700043 = 0.3010299957k
<u>-0.6020599913k                            -0.6020599913k</u>
                           <u>-0.6989700043</u> = <u>-0.3010299957k</u>
                           -0.3010299957     -0.3010299957
                              2.321928094 = k
7 0
3 years ago
The shirt cost $113 less than the coat. The shirt cost $50. How much is the coat?
olga nikolaevna [1]
Shirt: $50
Coat: $113

$50+ $113= $163

The coat costs $163, hope this helps!
7 0
3 years ago
a parabolic lamp is facing due east. The bulb (located at the focus) is 8 inches away from the vertex (located at the origin). t
True [87]

9514 1404 393

Answer:

  3 1/8 inches

Step-by-step explanation:

For focus-vertex distance p, the equation of the parabola can be written ...

  y = x^2/(4p)

Here, we have p=8. We want to find the value of y when x=10 (the radius of the dish). That is ...

  y = (10^2)/(4·8) = 100/32 = 3 1/8

The dish is 3 1/8 inches deep.

7 0
3 years ago
A student needs 3/4 pounds of modeling clay for a project. If each package has 1/8 pounds of clay how many packages of clay does
Maurinko [17]

Answer:

6 packages

Step-by-step explanation:

Since the student needs a total of 3/4 pounds of modeling clay we need to calculate how much is 3/4 of 8 since that is the denominator being used to calculate each individual package of clay. Since 3/4 is equal to 0.75 we can simply multiply this by 8 to calculate the total amount of clay needed.

8 * 0.75 = 6

This means that the student will need 6/8 pounds of clay. Since each package brings 1/8 pounds this means that we would need a total of 6 packages in order to have enough clay.

4 0
2 years ago
What percent represents a ratio of 8 to 50
EleoNora [17]
The percentage of that ratio is 16%
The simplest way to find any percentage is to divide the numerator by the denominator.
in this case that would be 8/15=0.16
16/100=16%
3 0
3 years ago
Read 2 more answers
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