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2 years ago

5

The inverse of f(x) is a function true or false

1 answer:

rusak2 [61]2 years ago

7 0

The answer is true, the inverse of f(x) IS a function !

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The angle of elevation to the top of a water tower from point A on the ground is 19.9°. From point B, 50.0 feet closer to the to

zepelin [54]

Answer:

Answer in terms of a trigonometric function :

$h = \frac{20tan(19.9)}{0.4-tan(19.9)}$

Answer in figures

$h = 190.5 feet$

Step-by-step explanation:

Consider the sketch attached below to better understand the problem.

Let x be the distance between point B and the base of the water tower.

$tan (19.9)=\frac{h}{50+x} ---------------equation 1\\$

$tan (21.8)=\frac{h}{x}----------------equation 2$

From equation 2,

$x =\frac{h}{tan21.8}=\frac{h}{0.4}$

substituting the value of x into equation 1, we get

$tan (19.9)=\frac{h}{50+(\frac{h}{0.4} )}$

$tan 19.9=h\times \frac{0.4}{20+h}$

cross multiplying,

$20\times tan(19.9) +htan(19.9)=0.4h$

$20tan(19.9)= h(0.4-tan(19.9))$

$h= \frac{20tan (19.9)}{0.4-tan (19.9)}$

The height of the tower is $h= \frac{20tan (19.9)}{0.4-tan (19.9)}$ in terms of the trig function "Tan"

The equation can simply be evaluated to get the answer in figures since the angles are given in the question

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3 years ago

Could really use some help <br>

MrRissso [65]

Answer:
X= 114
I don’t know what y is labeling so I won’t be able to help there sorry

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2 years ago

Which is the graph of f(x)=1/4(4)x

Dovator [93]

Answer:

Please, see attached picture

Step-by-step explanation:

We can easily solve this question by using a graphing calculator or any plotting tool.

The equation is

f(x) = (1/4)*(4)^(x)

Which is an exponential function, that grows rapidly to infinity as x increases.

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2 years ago

Which expressions are equivalent to this exponential expression

Alexandra [31]

Answer:

the correct answer will be 25

Step-by-step explanation:

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2 years ago

Help pls, it’s urgent!! ASAP! (Geometry)<br> “Compete the proof”

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1) $\overline{AB} \cong \overline{CD}$ , $\overline{AD} \cong \overline{CB}$ , $\overline{AX} \perp \overline{BD}$ , $\overline{CY} \perp\overline{BD}$ (given)

2) $\overline{BD} \cong \overline{BD}$ (reflexive property)

3) $\triangle ABD \cong \triangle ACDB$ (SSS)

4) $\angle ADB \cong \angle CBY$ (CPCTC)

5) $\angle CYB$ and $\angle AXD$ are right angles (perpendicular lines form right angles)

6) $\triangle CYB$ and $\triangle AXD$ are right triangles (a triangle with a right angle is a right triangle)

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8) $\overline{AX} \cong \overline{CY}$ (CPCTC)

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1 year ago