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Setler79 [48]
3 years ago
15

Find the circumference of a pizza with a diameter of 18 inches

Mathematics
1 answer:
tatyana61 [14]3 years ago
8 0
The circumference of a circle is PiD, or 2(3.14)(r).

The radius is half the diamater.
Let's solve with the diameter.

18 • 3.14 = 56.52 inches.

I hope this helps!
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Which of the following is a solution of y - x > -3?
Colt1911 [192]
X<<span>y+<span>3 its simple here is your answer</span></span>
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3 years ago
Mark invests $6,700 in an online savings account which gives 4.2% simple annual interest. He also invests $6,000 in a savings ac
dalvyx [7]

Answer:

$4,221.00 for online and 6,210.00 for the instore

Step-by-step explanation:

Calculation:

First, converting R percent to r a decimal

r = R/100 = 4.2%/100 = 0.042 per year.

Solving our equation:

A = 6700(1 + (0.042 × 15)) = 10921

A = $10,921.00

The total amount accrued, principal plus interest, from simple interest on a principal of $6,700.00 at a rate of 4.2% per year for 15 years is $10,921.00.

Calculation:

First, converting R percent to r a decimal

r = R/100 = 6.9%/100 = 0.069 per year.

Solving our equation:

A = 6000(1 + (0.069 × 15)) = 12210

A = $12,210.00

The total amount accrued, principal plus interest, from simple interest on a principal of $6,000.00 at a rate of 6.9% per year for 15 years is $12,210.00.

5 0
3 years ago
Jeremy flew 8 times last week for work. If each flight was 2 hours long, how much time did Jeremy spend in the air?
tatiyna

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16

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8 0
3 years ago
Determine the angles made by the vector v = (67)i + (-15)j with the positive x- and y-axes. write the unit vector n in the direc
vivado [14]
Consider the picture attached.

From right triangle trigonometry: 

tan(α)=(opposite side)/(adjacent side)=15/67=0.2239

using a scientific calculator we find that arctan(0.2239)=12.62°

thus α=12.62°, is the angle that the vector makes with the positive x-axis.

The angle made with the + y-axis is 12.62°+90°=102.62°.



The length of the vector v can be determined using the Pythagorean theorem:

|v|= \sqrt{ 67^{2} + 15^{2} }= \sqrt{4489+225}= \sqrt{4714}=68.8


Thus, to make v a unit vector, without changing its direction, we need to divide v by |v|=68.8. 

This means that the x and y components will also be divided by 68.8, by proportionality.

So, the unit vector in the direction of v is:

<span>(67/68.8)i + (-15/68.8)j=0.97 i + (- 0.22)j
</span>

Answer: 12.62°;  102.62°;  0.97 i + (- 0.22)j

6 0
3 years ago
Here is an equation for a circle: (x-3)^2 + (y+10)^2 = 81.
saw5 [17]

Answer: 2.

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7 0
2 years ago
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