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AleksAgata [21]
2 years ago
5

Evaluate the following function for f(4). F(x)=2x-12

Mathematics
1 answer:
ozzi2 years ago
4 0
F(x)= 2(4)-12
F(x)= 8-12
-4 is the answer
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a person is standing on top of a smaller building looking across the street at a taller building, which is 260 feet away horizon
Anuta_ua [19.1K]

The height of the smaller building is <u>94.63 feet</u>, computed using the trigonometric ratios.

In the question, we take AB to be the taller building, where A is its top and B is its base, CD to be the shorter building, where C is its top and D is its base, and CE to be the perpendicular from C to AB.

Given that the horizontal distance between the two buildings is 260 feet, we can say that BC = CE = 260 feet.

The angle of elevation from the top of the shorter building to the top of the taller building is 30°, that is, ∠ECA = 30°.

The angle of depression from the top of the shorter building to the base of the taller building is 20°, that is, ∠ECB = 20°.

When ∠ECB = 20°, then ∠CBD = 20°, as they are alternate angles.

We are asked to find the height of the shorter building, that is, we are asked to find CD.

In ΔCBD,

tan ∠CBD = CD/BD {perpendicular/base},

or, tan 20° = CD/260,

or, CD = 260*tan 20° = 260*0.36397023426 {∵ tan 20° = 0.36397023426},

or, CD = 94.6322609092.

Therefore, the height of the smaller building is <u>94.63 feet</u>, computed using the trigonometric ratios.

Learn more about heights and distances at

brainly.com/question/2004882

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7 0
2 years ago
Simplify 12p-3q +8q - 7p
IgorLugansk [536]

Answer:

5p+5q

Step-by-step explanation:

4 0
3 years ago
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Pls answer now<br> i gave you brainlest
slava [35]

1) A

2) B

3) C

4) C

5) D

5 0
2 years ago
A math textbook has 6 pages of instruction for every 2 pages of practice problems. How many pages of instruction does it have fo
gayaneshka [121]

Answer:

Unit rate is found simply by dividing.

6 pages of instruction/2 pages of practice problems = 3 pages of instruction per page of practice problems

Step-by-step explanation:

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3 years ago
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Write the linear equation that gives the rule for this table.
Zinaida [17]

Answer:

f(x) = -7x + 1

Step-by-step explanation:

Slope intercept form is

y = mx + b

m is slope

b is y-intercept

--------------------------

y decreases by 7 for each increase of 1 in x

slope = -7

to find "b" plug in one of the points and m = -7

using point (3, -20)

y = mx + b

-20 = -7(3) + b

-20 = -21 + b

b = 1

The equation is

f(x) = -7x + 1

3 0
3 years ago
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