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vampirchik [111]
3 years ago
13

From the top of a building, 40 feet above the ground, a construction worker locates a rock at a 12° angle of depression. How far

is the rock from the building? ​
Mathematics
2 answers:
MA_775_DIABLO [31]3 years ago
6 0

Answer:

188 m

Step-by-step explanation:

\tan(12)  =  \frac{40}{x}  \\ x =  \frac{40}{ \tan(12) }  \\ x = 188

UNO [17]3 years ago
5 0

Answer:

I think that the other answer is WRONG

tan(12) = \frac{x}{40}

x = tan(12)*40 = 8.5

Step-by-step explanation:

\frac{sin\left(78\right)}{40}=\frac{sin\left(12\right)}{x} = 8.5

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All of the following proportions are equivalent except
Ira Lisetskai [31]
I think that the answer would be B
6 0
2 years ago
X2 − 2x − 2 into the form a(x − h)2 + k.
Sedbober [7]

Answer:

x² - 2x - 2

By Completing the Square....

x² - 2x + 1² - 2 - 1²

(x - 1)² - 3 .....

Hope it helps.

3 0
2 years ago
True or false: Every sequence is either arithmetic or geometric. If this is true, explain. If false,
tiny-mole [99]

In an arithmetic sequence, the difference between consecutive terms is constant. In formulas, there exists a number r such that

a_{n+1}-a_n=r\quad \forall n\geq 1

In an geometric sequence, the ratio between consecutive terms is constant. In formulas, there exists a number r such that

\dfrac{a_{n+1}}{a_n}=r\quad \forall n\geq 1

So, there exists infinite sequences that are not arithmetic nor geometric. Simply choose a sequence where neither the difference nor the ratio between consecutive terms is constant.

For example, any sequence starting with

1, 15, -3,\ldots

Won't be arithmetic nor geometric. It's not arithmetic (no matter how you continue it, indefinitely), because the difference between the first two numbers is 14, and between the second and the third is -18, and thus it's not constant. It's not geometric either, because the ratio between the first two numbers is 15, and between the second and the third is -1/5, and thus it's not constant.

5 0
3 years ago
The population of a city is 250,000 and the annual growth rate is 2.2%. Write an equation to model the population y after x year
Zinaida [17]

Answer:

y= 250000(1.022)^x

Step-by-step explanation:

The population of a city is 250,000 and the annual growth rate is 2.2%

General equation for exponential growth is

y= P(1+r)^x

Where y is final population and P is the initial population

'r' is the rate of growth and x is the number of years

p = 25000 and r= 2.2%= 0.022. Replace all the values in the general equaiton

y= P(1+r)^x

y= 250000(1.022)^x

3 0
3 years ago
Complete the first table so that f(x) is a function.
netineya [11]

For f(x) to be a function, the value of x should not be repeated. That is no x value can be more then once.

So the required table is

x   \  \  \ \ \ f(x) \\ -1   \   \   \ \ \ \   2 \\ 2   \ \ \ \ \    -8 \\ 6   \ \ \ \ \   -12

And for g(x) , not to be a function, we have to repeat x value that is

x \ \ \ \ \ \ g(x) \\ -1 \ \ \ \ \ \ 2 \\ -1 \ \ \ \ \ \  -8 \\ 6 \ \ \ \ \ \  -2

6 0
3 years ago
Read 2 more answers
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