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Elena-2011 [213]
3 years ago
11

A child is flying a kite 145ft above the ground. The string makes an angle of 57 degrees from the child's hands. How much has be

en let out to fly the kite this high?
Mathematics
1 answer:
Arturiano [62]3 years ago
7 0

Answer: the length of string that been let out to fly the kite this high is 172.89 ft

Step-by-step explanation:

The length of string attached to the kite, the vertical height of the kite above the ground and the ground distance forms a right angle triangle.

With an angle of 57 degrees, the length of the string that is attached to the kite represents the hypotenuse of the right angle triangle.

The height of the kite above the ground represents the opposite side of the triangle

To determine h, the length of the string that has been let out to fly the kite this high, we would apply the

Sine trigonometric ratio which is expressed as

Sine θ = opposite side/hypotenuse

Sin 57 = 145/h

h = 145/Sin57 = 145/0.8387

h = 172.89

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Line plots are used to display data elements using markers

The total growth, in inches, of Isabella's plant is 4\frac{1}2 inches

<h3>How to determine the total growth</h3>

From the line plot, the total growth can be represented as:

Total = \frac 18 * 4 + \frac 28 * 2 + \frac 38 * 3 + \frac 48 * 1 + \frac 58 * 3

Evaluate the products

Total = \frac 48+ \frac 48 + \frac 98 + \frac 48 + \frac {15}8

Evaluate the sum

Total = \frac{4+4+9+4+15}8

Evaluate the numerator

Total = \frac{36}8

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2 years ago
HELP QUESTION NUMBER FOUR
enyata [817]

Answer:

x = -1 and y = -1.

Step-by-step explanation:

The given system of equations are :

y = 4x + 3 ....(1)

y = -x - 2 ....(2)

From equation (1) and (2) :

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Taking like terms together,

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y = 4(-1) + 3

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The solution is also shown in the attached figure. Hence, the solution is x = -1 and y = -1.

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2 years ago
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Answer:

Step-by-step explanation:

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