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juin [17]
4 years ago
8

A person flying a kite has released 176 m of string . the string makes an angle of 27 degrees with the ground . how high is the

kite? how far away is the kite horizontally? answer to the nearest meter

Mathematics
1 answer:
kirza4 [7]4 years ago
5 0

Answer:

80 m High and 157 m away

Step-by-step explanation:

Cos(27)=x/176

x= 156.8 m

Sin(27) = y/176

y = 80

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Y + 4x = 8 and 5x + 2y = 13
Ivanshal [37]
Y + 4x = 8
y = 8 - 4x
substitute 8 - 4x for y in the other equation.
5x + 2(8 - 4x) = 13
5x + 16 - 8x = 13
-3x = -3
x = 1
y = 8 - 4(1) = 4
4 0
4 years ago
Gavin's dog had a litter of puppies. All of the puppies in this litter were either yellow or black. If there was one less black
mezya [45]

Answer:

Total number of puppies in the litter = 11

Step-by-step explanation:

Let the number of yellow puppies in the litter = y

And the number of black puppies in the litter = b

If there was one less black puppy, ratio of yellow to black puppies = \frac{2}{3}

\frac{y}{b-1}=\frac{2}{3}

2(b - 1) = 3y

3y - 2b = -2 -----(1)

If there was one more black puppy, ratio of yellow puppies to black puppies = \frac{1}{2}

\frac{y}{b+1}=\frac{1}{2}

2y = b + 1

2y - b = 1 -------(2)

Equation (1) - 2× equation (2)

(3y - 2b) - 2(2y - b) = -2 - 2

3y - 4y - 2b + 2b = -4

y = 4

From equation (1),

3×4 - 2b = -2

12 - 2b = -2

-2b = -14

b = 7

Total number of puppies in the litter = 7 + 4 = 11

4 0
3 years ago
A fish tank has 10 goldfish, 6 tetras, 4 snails, and 2 platies. What is the ratio of tetras to platies?
Nat2105 [25]

Answer:

6:2

Step-by-step explanation:

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3 0
3 years ago
Evaluate 2xsquared by 2 − 5y over 3x −y when x = 2 and y = -4.
Arisa [49]
(2x^2 -5y)/(3x-y)
((2*2)^2-(5*-4))/((3*-4)-(-4))
(4^2+20)/(-12+4)
36/-8
-4.5
8 0
3 years ago
8. On Monday, 301 students went on a trip to the zoo. All 7 buses were filled and 7 students had to travel in
tankabanditka [31]

Answer:

42 Kids

Step-by-step explanation:

1st you have to subtract 7 form 301 so you get 294

2nd you divide 294 by 7 294/7

And you should get an answer of 42 Kids

5 0
3 years ago
Read 2 more answers
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