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Mumz [18]
3 years ago
13

A building that is 100 ft tall casts a shadow that makes a 30 degree angle with the ground. Approximately how long, in feet, is

the shadow across the ground?
A) 0.01
B) 3.33
C) 15.61
D) 173.21
Mathematics
1 answer:
Tamiku [17]3 years ago
6 0

Answer:its d

Step-by-step explanation:

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In 1990 the average family income was about $ 39 , 000 , and in 2010 it was about $ 70 , 768 . Let x = 0 represent 1990, x = 1 r
iren2701 [21]

Answer:

<em />f(x) = 1588.4x + 39000<em />

f(15) = 62826

Step-by-step explanation:

Given

In 1990; Income= $39000

In 2010; Income= $70768

Solving (a): An equation in form of f(x) = ax + b

First, we need to determine the slope, a

a = \frac{y_2 - y_1}{x_2 - x_1}

Taking y as income and x as year index.

When x = 0; y = 39000

When x = 20; y = 70768

Substitute these values in the above formula

a = \frac{70768 - 39000}{20 - 0}

a = \frac{31768}{20}

a = 1588.4

Next, is to determine the formula using:

y - y_1 = a(x - x_1)

<em>Considering :When x = 0; y = 39000, we have</em>

<em />y - 39000 = 1588.4(x - 0)<em />

<em />y - 39000 = 1588.4x<em />

<em>Make y the subject of formula</em>

<em />y = 1588.4x + 39000<em />

<em />

<em>Express y as a function of x</em>

<em />f(x) = 1588.4x + 39000<em />

Solving (b): Income in 2005

<em>In 2005, x = 15</em>

So:

f(x) = 1588.4x + 39000 becomes

f(15) = 1588.4 * 15 + 39000

f(15) = 62826

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Step-by-step explanation:

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Convert the degree measurement to radians Express answer multiples of Pi 126°
alexandr1967 [171]

we know that there are 180° in π radians, so how many radians are there in 126°?

\bf \begin{array}{ccll} degrees&radians\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 180&\pi \\ 126&x \end{array}\implies \cfrac{180}{126}=\cfrac{\pi }{x}\implies x=\cfrac{126\pi }{180}\implies \stackrel{simplified}{x=\cfrac{7\pi }{10}}

4 0
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