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Finger [1]
3 years ago
7

Sam is flying a kite. The length of the kite string is 80 meters, and it makes an angle of 75 with the ground. The height of the

kite from the ground is meters

Mathematics
2 answers:
GuDViN [60]3 years ago
6 0
You don't say if the answer needs to be rounded 
 the height is 77.27 meters ( not rounded)

 see attached picture for solution:

ANTONII [103]3 years ago
5 0
The height of the kite would be 77.27 m. This can be found using the law of sines. Assuming that the kite also makes a 90 degree angle with the ground, the proportion 80/sin90=h/sin75 can be used. Then, cross multiplication gets sin75x80=sin90xh. Divide both sides by sin90, and that results in 77.27 m. 
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If someone could work out the first half of the problem and explain that would be great!
andrew-mc [135]

Answer:

x = -5

y = -5

Step-by-step explanation:

If you multiply the top equation by negative 2, you can add it to the bottom equation and cancel out the x:

-2(-x + 5y = -20) --> 2x - 10y = 40

Add this to the bottom equation top to bottom:

2x - 10y = 40

-2x + 4y = -10

You get:

-6y = 30

Then solve for y:

y = -5

Plug this back in for either equation and solve for x:

-x + 5(-5) = -20

-x -25 = -20

-x = 5

x = -5

Your answers are:

x = -5

y = -5

7 0
3 years ago
Read 2 more answers
The weight of strawberries follows a normal distribution with a mean weight of 12 grams and a standard deviation of 2.5 grams. I
Svetlanka [38]

Answer:

.2119 is the answer

Step-by-step explanation:

hope this helps

7 0
3 years ago
Read 2 more answers
Roger picked 56 berries in 8 minutes. At that rate, how many berries did he pick in 1 minute?
Veseljchak [2.6K]

Answer:

7

Step-by-step explanation:

58 divided by 8 is 7

4 0
3 years ago
Read 2 more answers
Three missiles are fired at an enemy arsenal. The probabilities the individual missile will hit the arsenal are 0.75, 0.85, and
Fantom [35]
The probability that at least two of the missiles hit the arsenal:
P ( x ≥ 2 ) = P ( x = 2 ) + P ( x = 3 )
P ( x = 2 ) = 0.75 · 0.85 · 0.1 + 0.85 · 0.9 · 0.25 + 0.75 · 0.9 · 0.15 =
= 0.06375 + 0.10125 + 0.19125 = 0.35625
P ( x = 3 ) = 0.75 · 0.85 · 0.9 = 0.57375
P ( x ≥ 2 ) = 0.35625 + 0.57375 = 0.93
Answer:
The probability is 0.93 or 93%. 
3 0
3 years ago
use the factor theorem to find all the zeros of f(x)=2x^3+7x^2-77x-40 given that (x-5) is a factor of the polynomial
Soloha48 [4]
Because the factor would divide it into two
5 0
3 years ago
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