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zloy xaker [14]
3 years ago
7

A balloon is rising vertically at the rate of 12 feet per second; at the same time, it is being blown horizontally by a wind of

18 feet per second. Find the angle its path makes with the horizontal.

Mathematics
2 answers:
omeli [17]3 years ago
7 0
Remember SOH CAH TOA

we want the angle between the ground and the hypotenuse

which gives us

\tan( \frac{12}{18} ) = \tan( \frac{2}{3} )

or 45.08 degrees

ycow [4]3 years ago
6 0

Answer:

34 degrees

Step-by-step explanation: tanΘ = opp/adj the opposite angle is 18 and the adjacent angle is 12, this is because the triangle is upside down thus, the 90 degrees is formed with the horizontal, and theta is the part of that 90 degrees made with the horizontal. Therefore, solve for the angle inside the triangle then subtract that from 90 and you have theta.

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What is the area? in square yards.​
KengaRu [80]

Answer:

260 square yards

Step-by-step explanation:

(9+17/2)*20

8 0
3 years ago
Carson needs 3 quarts of water to make fruit punch, but has only a l-cup measuring cup.
olga_2 [115]

Answer:

Cups of water she needs to make the punch is 12.

Step-by-step explanation:

Amount of water Carson need to make fruit punch = 3 quarts

2 cups is 1 pint

2  pints is 1 quart

1 pint = 1/2 quarts

2 cups is 1 pint which is 1/2 quarts

So, 1 cup:

1 cup is 1/2 times 2 quarts

1 quart is 1 times 2 times 2 cups equals 4 cups

So, 3 quarts equals 3 times 4 cups which equals 12 cups.

So it is 12 cups.

7 0
3 years ago
What are the other angles measure? Is angle 6: 30 degrees?
zhenek [66]
Angle 1,6,4 and 8 are all 30 degrees because they are across from eachother
8 0
3 years ago
Derek and Donnie mow 15 lawns over two 2 days. If Derek mows 3 lawns per hour and Donnie mows 2 lawns per hour, write an equatio
fenix001 [56]

Answer:the two equations that model the situation are

x + y = 48

3x + 2y = 15

Step-by-step explanation:

Let x represent the total number of hours that Derek worked.

Let y represent the total number of hours that Donnie worked.

Derek and Donnie mow 15 lawns over two 2 days. There are 24 hours in a day. Therefore, the number of hours in 2 days would be 2 × 24 = 48 hours. Therefore

x + y = 48 - - - - - - - - - -1

If Derek mows 3 lawns per hour and Donnie mows 2 lawns per hour, it means that

3x + 2y = 15 - - - - - - - - - 2

4 0
3 years ago
The radius of a circle is 8 units whats the circumference
strojnjashka [21]

Answer:

200.96

Step-by-step explanation:

Use the formula

c = \pi \times r {}^{2}

You insert 8 as the radius(r). Square that first, you'll get 64. Then multiply that by 3.14 (pi), and you'll get your answer of 200.96

5 0
3 years ago
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