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allochka39001 [22]
3 years ago
11

Find the area of the figure to the nearest tenth

Mathematics
1 answer:
damaskus [11]3 years ago
8 0
That's a part of a circle that has a radius of 9 inches.

Area of any circle = (pi) x (radius)²

Area of the full circle that this is a piece of = (pi) x (9)² = (81 pi)  square inches.

That's the whole circle.  How much of the whole circle is in the picture ?

A whole circle has 360 degrees in the middle. This piece has 105 degrees in the middle.
This piece is ( 105/360 ) of the whole circle.

So the area of the piece is (105/360) x (81 pi) = <u>74.22 square inches</u> (rounded)
You might be interested in
Max has been offered positions by two car companies. The first company pays a salary of $12,500 plus commission of $1500 for eac
adell [148]

Answer:

5 Cars

Step-by-step explanation:

Let the number of cars to be sold to make the total pay equal be x.

The first company pays a salary of $12,500 plus commission of $1500 for each car sold.

  • Algebraically written as: 12500+1500x

The second company pays a salary of $17,500 plus a commission of $500 per car sold.

  • Algebraically written as: 17500+500x

Equating both sides

12500+1500x=17500+500x

Collect like terms

1500x-500x=17500-12500

1000x=5000

Divide both sides by 1000

x=5

Therefore, when 5 cars are sold, the total pay would be the same.

7 0
3 years ago
With the introduction of decimals, Max is very confused about the role zeros play in a number. For example 3 and 30 are not equa
olga2289 [7]
.3 is represented as a tenth it’s 3 out of ten, but .03 is a hundredth representing as a 3 out of a hundred it’s a relatively smaller number.
7 0
3 years ago
So I have another trigonometry question PLZ HELP ME I'm clueless at this rate I have like a little idea but I'm lost, SO PLZZZ!
Sergio039 [100]

Answer:

1) The windsurfer is approximately 580 ft from each lifeguard stand.

2) The distance between the Earth and Mercury is approximately 61 million miles.

Step-by-step explanation:

The image other two situations described is presented in the attached image to this answer.

1) From the attached image, the windsurfer forms a right angled triangle with each of the lifeguard stand and the midpoint between the two lifeguard stands.

Hence, the angle at the top of the triangle is half of 30°, 15° and the distance from the midpoint of the lifeguard stands to the lifeguard stands is 300/2 = 150 ft.

Let the required distance of the windsurfer from each of the lifeguard stands be x.

Using trigonometric relations,

Sin 15° = (150/x)

x = 150 ÷ sin 15° = 150 ÷ 0.2588

x = 579.6 ft = 580 ft to the nearest whole number

2) From the image, the Sun, Earth and Mercury form a triangle.

Let the possible distance between the Earth and Mercury be y.

Using cosine rule,

y² = 36² + 93² - (2×36×93×cos 22°)

y² = 3,736.5769098208

y = √3,736.5769098208 = 61.13 million miles = 61 million miles to the nearest million miles.

Hope this Helps!!!

5 0
3 years ago
Laine reads 25 pages in 30 minutes. If she reads 200 pages at the same rate how long will it take her?
Veronika [31]

Answer:

4 hours

Step-by-step explanation:

25 pages -> 30 min

5 pages -> 6 min

200 pages -> 6*40 min =240 min

240/60= 4

Thus, the answer is 4 hours

7 0
3 years ago
What is the solution for -10 &lt; x - 9?
evablogger [386]

- 10 < x - 9
ANSWER
x >  - 1
7 0
3 years ago
Read 2 more answers
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