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arsen [322]
3 years ago
14

Kurt spots a bird sitting at the top of a 40 foot tall telephone pole. If the angle of elevation from the ground where he is sta

nding to the bird is 59 ° , how far is Kurt standing from the base of the pole?
Mathematics
1 answer:
Natalija [7]3 years ago
3 0

Answer:

i guess its 24.03 ft

Step-by-step explanation:

let height of pole be perpendicular length and distance from pole be the base .so tan59=P/b..& b= 24.03ft

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Abel was wrapping a gift for an upcoming party. He began with 20 1/2 feet of paper. He used 5 5/12 feet on his first gift and 3
FrozenT [24]
Hey there!

20 \dfrac{1}{2}  - 5 \dfrac{5}{12}  - 3 \dfrac{1}{3}  + 2 \times 10 \dfrac{1}{2}  \\  = \dfrac{41}{2}  -  \dfrac{65}{12}  -  \dfrac{10}{3}  + 21 \\  =  \dfrac{246}{12}  -  \dfrac{65}{12}  -  \dfrac{40}{12}  + 21 \\  =  \dfrac{141}{12}  + 21 \\  = 32 \dfrac{3}{4}

Answer : 32 3/4 feet or in decimal form, 32.75 feet.

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Answer: it is invalid

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nata0808 [166]
156/4=39 miles per gallon. 39*12 gallons is 468 miles, and 6 gallons is 234.
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3 years ago
Neveah has created the function f(x) =the quantity of 2x plus 4, divided by 3 to represent the growth of her hair, where x repre
dangina [55]

Given that:

The function to represent the growth of Neveah hair is

f(x)=\dfrac{2x+4}{3}

where,  x represents the number of months since her last hair cut.

To find:

The inverse of function and time when her hair will have grown 6 inches.

Solution:

We have,

f(x)=\dfrac{2x+4}{3}

Put f(x)=y.

y=\dfrac{2x+4}{3}

Interchange x and y.

x=\dfrac{2y+4}{3}

Isolate y.

3x=2y+4

3x-4=2y

\dfrac{3x-4}{2}=y

Put y=f^{-1}(x).

f^{-1}(x)=\dfrac{3x-4}{2}

So, the required inverse function is f^{-1}(x)=\dfrac{3x-4}{2}. It represents the number of months to grow her hair x inches.

She can predict when her hair will have grown 6 inches by putting x=6 in the inverse function.

Put x=6 in the inverse function.

f^{-1}(6)=\dfrac{3(6)-4}{2}

f^{-1}(6)=\dfrac{18-4}{2}

f^{-1}(6)=\dfrac{14}{2}

f^{-1}(6)=7

Therefore, growth of her hair is 6 inches in 7 months.

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Lady_Fox [76]

Answer:

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Step-by-step explanation:

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