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Monica [59]
3 years ago
13

Mark placed a pool in his backyard, which is enclosed by a triangular fence. The radius of the pool is 20.5 feet How much of the

backyard is not covered by the pool? Use

Mathematics
1 answer:
tatiyna3 years ago
7 0

Answer:

2644.415 feet spuared

Step-by-step explanation:

I think the attached photo is your full question, and my answer:

We need to find:

- the area of the  pool = πr^{2} = 3.14* 20.5^{2} = 1319.585 feet spuared.

- The area of the triangular fence = 1/2* 84*92 = 3964 feet spuared

So, the area of the backyard which is not covered by the pool is:

<em>The area of the triangular fence - the area of the  pool</em>

= 3964 - 1319.585

= 2644.415

Hope it will find you well.

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Use the laws of Sines and law of cosines to find missing dimensions​
Andrei [34K]

Answer:

A) ERROR

B) ∠C = 26°

Step-by-step explanation:

Houston, We have a problem!!! too much information

If we had a legit triangle, the law of sines would hold

19/sin138 = 8/sin20

  28.395 = 23.390

as this is NOT an equality, the triangle does not exist as described.

IF it did, we'd get different results depending on which set we used

∠F = 180 - 138 - 20 = 22°

Law of sines

19/sin138 = DE/sin22 ⇒ DE = 19sin22/sin138 = <u>10.63697...</u>

or

8/sin20 =  DE/sin22 ⇒ DE = 8sin22/sin20 = <u>8.762211...</u>

If we attempt to use Law of cosines

DE² = 19² + 8² - 2(19)(8)cos22 = <u>11.9639...</u>

so really none is correct because we attempt to use trig calculations to a non-triangle.

12) AC² = 15² + 19² - 2(15)(19)cos120

      AC = 29.51270...

29.51270 / sin120 = 15/sinC

C = arcsin(15sin120/29.51270) = 26.1142... <u>26°</u>

6 0
3 years ago
Read 2 more answers
HELP! Please! A car is traveling at a rate of 15 meters per second. What is the car's rate in kilometers per hour? How many kilo
gizmo_the_mogwai [7]

Answer:

0.06km

Step-by-step explanation:

15÷1000=0.0015

0.0015×4=0.06

7 0
3 years ago
2 + 2= ?<br><br> Just answer this if ur bored
Galina-37 [17]

Answer:

4

Step-by-step explanation:

break the first 2 into its components, 1 and 1 because 1 + 1 = 2.
Break the second 2 into its components, 1 and 1 because 1 + 1 = 2.

Combine all the components. Since they're all ones, you just have to count your fingers 4 times!
1 + 1 = 2. 2 + 1 = 3. 3 + 1 = 4!
1 + 1 + 1 + 1 = 4!

4 is the correct answer.

5 0
3 years ago
students need to paint 500 pumpkins for the fair. They already painted 193. How many pumpkins are left to paint?
lys-0071 [83]
You would subtract the the amount painted from 500.
500-193=307
They have to paint 307 more.
3 0
4 years ago
Read 2 more answers
Please help me out here and let it be right
barxatty [35]

Answer:

C

Step-by-step explanation:

The ratio is given as \frac{12}{9} = \frac{4}{3} in simplest form

However, if we consider each group of 4 X's to 3 O's then the ratio is

\frac{4}{3} → C


3 0
3 years ago
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