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Bezzdna [24]
3 years ago
10

A satellite photographs a path on the surface of the Earth that is 600 miles wide. Find the central angle that intercepts an arc

600 miles on the surface of the Earth​ (radius 3950​ miles).
WILL MARK BRAINLIEST
Mathematics
1 answer:
Artyom0805 [142]3 years ago
4 0

9514 1404 393

Answer:

  The central angle is about 8.7°.

Step-by-step explanation:

The relation between angle and arc length is ...

  s = rθ

where r is the radius, and θ is the central angle in radians.

  600 = 3950·θ

  θ = 600/3950 radians = (12/79)(180°/π)

  θ ≈ 8.7°

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Please help me out. I don’t understand this problem.. An equation of a line through (-7,-10) which is perpendicular to the line
nordsb [41]

Answer:

The Equation:

y = \frac{1}{3}x - \frac{23}{3}

The y-intercept:

-\frac{23}{3}

Step-by-step explanation:

<u>Things you need to know:</u>

Perpendicular mean opposite slope.

Need to know point slope form of a linear equation y - y_1 = x(x - x_1)

Ok, with that out the way, lets get started!

From the equation y = -3x + 2 we can see the slope, which is -3. We are asked to find an equation that is perpendicular to that slope so that means we need an opposite slope. To turn this slope to an opposite slope flip it and change the sign

-3 = \frac{-3}{1} = \frac{1}{3}

Now that we have our opposite slope, which is \frac{1}{3}, we can find the equation the problem is asking us to solve.

We do this by using the point (-7, -10) and our new slope, which is \frac{1}{3} and by using  y - y_1 = x(x - x_1)

<u>Insert our point and slope into y - y_1 = x(x - x_1) and solve for y</u>

y - y_1 = x(x - x_1)

y - (-10) = \frac{1}{3}(x - (-7))

y + 10) = \frac{1}{3}(x + 7))

<u>Work on the right side of the = sign</u>

Distribute 1/3 to x and 7

y + 10 = \frac{1}{3}(x + 7))

y + 10 = \frac{1}{3}x + \frac{7}{3}

<u>Bring the 10 over to the right side by adding a -10</u>

y + 10 -10= \frac{1}{3}x + \frac{7}{3} - 10

y = \frac{1}{3}x + \frac{7}{3} - 10

Do the math for \frac{7}{3} - 10 = -\frac{23}{3}

y = \frac{1}{3}x - \frac{23}{3}

<u>We are done.</u>

The Equation:

y = \frac{1}{3}x - \frac{23}{3}

The y-intercept:

-\frac{23}{3}

7 0
3 years ago
I’m confused on this one
stellarik [79]

Its a. An enlargment on a scale of 3/1.

5 0
3 years ago
Read 2 more answers
What is the x to this line?
777dan777 [17]

Answer: x=64.


Step-by-step explanation:

48=3x/4

Multiply both sides by 4 : 192=3x

Divide both sides by 3. : x=64

Check: 64*3=192; 192/4=48 J=48 So x is 192.

Hope this helps! :p

3 0
3 years ago
A central angel in this diagram is
Paha777 [63]

Answer:

it looks like an acute angle

4 0
3 years ago
How do you find the percent of a number?
Tom [10]

Answer:

(hope this helps can i plz have brainlist :D hehe)

Step-by-step explanation:

How to Calculate Percentages

There are many formulas for percentage problems. You can think of the most basic as X/Y = P x 100. The formulas below are all mathematical variations of this formula.

Let's explore the three basic percentage problems. X and Y are numbers and P is the percentage:

Find P percent of X

Find what percent of X is Y

Find X if P percent of it is Y

Read on to learn more about how to figure percentages.

1. How to calculate percentage of a number. Use the percentage formula: P% * X = Y

Example: What is 10% of 150?

Convert the problem to an equation using the percentage formula: P% * X = Y

P is 10%, X is 150, so the equation is 10% * 150 = Y

Convert 10% to a decimal by removing the percent sign and dividing by 100: 10/100 = 0.10

Substitute 0.10 for 10% in the equation: 10% * 150 = Y becomes 0.10 * 150 = Y

Do the math: 0.10 * 150 = 15

Y = 15

So 10% of 150 is 15

Double check your answer with the original question: What is 10% of 150? Multiply 0.10 * 150 = 15

2. How to find what percent of X is Y. Use the percentage formula: Y/X = P%

Example: What percent of 60 is 12?

Convert the problem to an equation using the percentage formula: Y/X = P%

X is 60, Y is 12, so the equation is 12/60 = P%

Do the math: 12/60 = 0.20

Important! The result will always be in decimal form, not percentage form. You need to multiply the result by 100 to get the percentage.

Converting 0.20 to a percent: 0.20 * 100 = 20%

So 20% of 60 is 12.

Double check your answer with the original question: What percent of 60 is 12? 12/60 = 0.20, and multiplying by 100 to get percentage, 0.20 * 100 = 20%

3. How to find X if P percent of it is Y. Use the percentage formula Y/P% = X

Example: 25 is 20% of what number?

Convert the problem to an equation using the percentage formula: Y/P% = X

Y is 25, P% is 20, so the equation is 25/20% = X

Convert the percentage to a decimal by dividing by 100.

Converting 20% to a decimal: 20/100 = 0.20

Substitute 0.20 for 20% in the equation: 25/0.20 = X

Do the math: 25/0.20 = X

X = 125

So 25 is 20% of 125

Double check your answer with the original question: 25 is 20% of what number? 25/0.20 = 125

Remember: How to convert a percentage to a decimal

Remove the percentage sign and divide by 100

15.6% = 15.6/100 = 0.156

Remember: How to convert a decimal to a percentage

Multiply by 100 and add a percentage sign

0.876 = 0.876 * 100 = 87.6%

(hope this helps can i plz have brainlist :D hehe)

4 0
3 years ago
Read 2 more answers
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