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katrin2010 [14]
2 years ago
12

Kari is flying a kite. She releases 50 feet of string. What is the approximate difference in the height of the kite when the str

ing makes a 25o angle with the ground and when the string makes a 45o angle with the ground? Round to the nearest tenth.
Mathematics
2 answers:
nirvana33 [79]2 years ago
5 0
Sinα=h/L  where h=height, L=string length...

h=Lsinα  so

h(25°)=50sin25≈21.1ft

h(45°)=50sin45≈35.4ft
Vika [28.1K]2 years ago
4 0

Answer: 14.2 feet.

<3 hope you do well

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Answer:

The multiplicative rate of change is \dfrac{2}{5}.

Step-by-step explanation:

You are given the function

f(x)=2\cdot \left(\dfrac{5}{2}\right)^{-x}

First, use the following property of exponents

\left(\dfrac{a}{b}\right)^{-x}=\left(\dfrac{b}{a}\right)^{x}

So, your function is

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If the exponential function is written in the form

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In your case, the multiplicative rate of change is \dfrac{2}{5}.

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Answer:

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Machines A and B always operate independently and at their respective constant rates. When working alone, Machine A can fill a p
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Answer:

The value of x is \frac{10}{3} hours.

Step-by-step explanation:

Machine A = 5 hours

Machine B = x hours

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Using the formula: \frac{T}{A}  + \frac{T}{B} = 1

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B is the time spend by machine B

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Let multiply the entire problem by the common denominator (5B)

5x(\frac{2}{5}  + \frac{2}{x} = 1)

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Collect the like terms

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Divide both side by the coefficient of x (3)

\frac{3x}{3}  = \frac{10}{3}

x = \frac{10}{3} hours.

Therefore, Machine B will fill the same lot in \frac{10}{3} hours.

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