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Talja [164]
3 years ago
15

Howard is standing 87 yards from the bottom of a water reservoir. He estimates that the angle of elevation to the top of the wat

er reservoir is about 60°. How far is Howard from the top of the water reservoir?
Mathematics
1 answer:
nekit [7.7K]3 years ago
4 0
He is 174 yards from the top.

Since we have a 60° angle and a right angle, this is a 30-60-90 triangle.  In these triangles, we can label the sides as t, t√3 and 2t, with t being the side opposite the 30° angle (the smallest side); t√3 being the side opposite the 60° angle (the middle side); and 2t being the hypotenuse (the longest side).

Our 87 yard side is across from the 30° angle, so it is t.

The side we are looking for is the hypotenuse, which would be 2t; 2(87) = 174.
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Cooper weighs 20 pounds. when he is an adult dog, he will weigh about 350% as much as his current weight. how much will cooper w
dexar [7]

The cooper's weight as an adult dog will be 90 pounds.

<h3>What is percentage?</h3>

Percentage, which is a relative figure used to denote hundredths of any quantity. One percent (symbolized as 1%) is equal to 100 parts; hence, 100 percent denotes the complete amount, and 200 percent designates double the amount specified.

A typical method for calculating a percentage is the formula shown below:

  • Determine the total amount of what you want to find a percentage.
  • Divide the number to determine the percentage.
  • Multiply the value by 100.

Calculation for the weight of Cooper as an adult;

Cooper's present weight is 20 pounds.

He will weigh about 350% as much as his current weight.

Calculate 350% of 20 pounds.

= (350×20)/100

= 70

The increment of the weight of Cooper will be 70 pounds.

Thus, the total weight is 20 + 70 = 90.

Therefore, the weight of Cooper after 350% as an adult would be 90 pounds.

To know more about the percent change, here

brainly.com/question/809966

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3 0
1 year ago
Please help me answer #2
Alja [10]
160 meters ur welcome
6 0
3 years ago
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Which proportion could be used to find the length of side b?
Tanzania [10]

Answer:

C

Step-by-step explanation:

Using the Sine rule in Δ ABC

Calculate the measure of ∠ C

∠ C = 180° - (64 + 85)° = 180° - 149° = 31° , then

\frac{sin31}{9.3} = \frac{sin85}{b} → C

6 0
3 years ago
Help pleaseee, I’ll give brainly!
Gnesinka [82]

Answer:

1) 6r+7=13+7r —> 7r–6r=7–13 —> r = – 6

2) 13–4x=1–x —> 4x–x=13–1 —> 3x=12 —> x=12/3 —> x=4

3)–7x–3x+2=–8x–8 —> –8x+7x+3x=2+8 —> 2x=10 –> x= 10/2 –> x= 5

4)–8–x=x–4x —> –x–x+4x=8 —> 2X=8 —> x= 8/2 —> x= 4

5) –14+6b+7-2b=1+5b —> 5b +2b –6b = –14+7–1 —> b=–8

6) n+2=–14–n —> n+n=–14–2 —> 2n = –16 —> n = – 16/ 2 —> n = – 8

7) n – 3n = 14 –4n —> n –3n + 4n = 14 —> 2n = 14 —> n = 14/ 2 —> n = 7

8) 7a – 3 = 3 + 6a —> 7a – 6a = 3 + 3 —> a = 6

9) 3(1–3x ) =2(–4x+7) —> 3 –9x = –8x+14 —> 9x–8x = 3–14 —> x = –11

10) –10 +x+4–5 =7x –5 —> 7x–x = –10+4–5 +5 —> 6x = –6 —> x= –6/6 —> x = –1

11) –8n +4(1+5n)=–6n–14 —> –8n +4 + 20n = – 6n– 14

20n –8n +6n= –14 –4 —> 18n = – 18 —> n = –18/18 —> n = –1

12) –6n–20=–2n +4(1–3n) —> –6n –20 = – 2n +4 –12n —> 12n +2n –6n = 4 +20 —> 8n =24 —> n = 24/8 —> n =3

I hope I helped you^_^

3 0
3 years ago
Read 2 more answers
Find the total area of the figure below.
vekshin1

Answer:

a 240

Step-by-step explanation:

Area of rectangle 24 x 8 = 192

Area of triangle 24 x 4 = 96/2 = 48

192 + 48 = 240

3 0
3 years ago
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