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Wewaii [24]
3 years ago
9

A circular flower bed is 16 m in diameter and has a circular sidewalk around it that is 2 m wide. Find the area of the sidewalk

in square meters. Use 3.14 for pi.
The area of the sidewalk is _____ m^2
Mathematics
2 answers:
Darina [25.2K]3 years ago
8 0
The correct anwser is 113
Katyanochek1 [597]3 years ago
7 0
59.69 is probably the answer. let me know.
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Please explain how to do #6 i know the work is right but i don’t understand it
mariarad [96]
Since this is part of a packet, there's a lot of prior knowledge you need to understand the question.
1) The angle of elevation is the angle between the horizontal and the light of sight from the object to the observer (see picture 1).

2) A lot of the units are from work done by an Indian astronomer. The line of sight (light blue in picture 1) is r = 3438 (I think you might have forgotten to finish writing the number). r, or 3438, is the distance from the earth to the sun used by Indian Astronomers. 

3) The table shows units in jya(θ<span>°). Jya is a Sanskrit (ancient Indian language) word. It stands for the length of half of a chord that connects two endpoints of a circle (kinda confusing and more information than you need to know - but it's the green line in picture 2).
What's important is: </span>jya(θ°) = r*sin(θ°)



Now let's tackle the problem:
1) You know that the angle of elevation is 67.5°. Using the chart, the only important value is the second from the bottom. jya(67.5°) = 3177. 

2) Remember that jya(θ°) = r*sin(θ°). 
Also remember that sine of an angle is \frac{opposite}{hypotenuse}. In this problem, r, the distance from the earth to the sun, happens to be the hypotenuse of the triangle since its the longest edge. 

3) Notice that you're dividing jya(θ°) (aka r*sin(θ°)) by r = 3438. That will give you sin(θ°) by itself. Then you're multiplying that sin(θ°) by 1 AU, which we are told is the actual distance of the hypotenuse/distance from earth to sun. Since sine = \frac{opposite}{hypotenuse} that gives you the apparent length of the opposite side = apparent height of the sun.

The math is a bit weird, but you're basically multiplying sine by the apparent distance 1AU to get the apparent height, instead of multiplying sine by the estimated height r = 3438. Dividing 3177 by 3438 gives you sin(67.5°). Then multiplying sin(67.5°) by the apparent hypotenuse, 1AU, gives you the apparent height. That's how I'm understanding it!

6 0
3 years ago
Eight more than seven times a number is 8
icang [17]

Answer:

The number is 0

Step-by-step explanation:

We form an equation using the statement:

8 = 7x + 8

Then we solve it:

8 = 7x + 8

8 - 8 = 7x

0 = 7x

0 ÷ 7 = x

x = 0

6 0
3 years ago
Help out a real dude
Verdich [7]
59.70 for 6 hours of mowing and 1 hour of babysitting !
7 0
3 years ago
Read 2 more answers
Find x and y ........
Marrrta [24]

Answer:

A

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Solve using quadratic formula<br> 1. y=3x^2-x-6<br><br> 2. y=-5x+7x+3
nignag [31]
My estimated answer for 1 is x=1.59 or x=-1.26 and my exact answer is (in word form) x= 1 plus or minus the square root of 73 over 6. my estimated answer for 2 is x=-0.34 or x=1.74 and my exact answer (in word form) is x= -7 plus or minus the square root of 109 over -10. I took a picture of my work and hopefully you can read it

5 0
2 years ago
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