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yaroslaw [1]
3 years ago
8

How tall is a building that casts a 74-ft shadow when the angle of elevation of the sun is 36°?

Mathematics
1 answer:
inna [77]3 years ago
4 0

Answer:

101.85ft

Step-by-step explanation:

We can use tan here

tan\theta=\frac{opp}{adj}\\adj = \frac{opp}{tan \theta} \\adj = \frac{74}{tan(36)} = 101.85

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What is the difference of ( 3x^2 - 2x +5 ) - ( x^2 + 4x - 11 ) written in standard form ?
lyudmila [28]

Answer:

–3x + 22

Step-by-step explanation:

x + 2(x – [3x – 8] + 3)

x + 2(x – 1[3x – 8] + 3)

x + 2(x – 1[3x] – 1[–8] + 3)

x + 2(x – 3x + 8 + 3)

x + 2(–2x + 11)

x + 2(–2x) + 2(+11)

x – 4x + 22

1x – 4x + 22

–3x + 22

5 0
3 years ago
Read 2 more answers
A pair of equations is shown below: y = 7x - 8 y = 5x - 2 Part A: Explain how you will solve the pair of equations by substituti
yuradex [85]
So, first of all you have to identify the two equations which are: y=7x-8 and y=5x-2. after identifying the two equation you can choose one of them to start with. I chose the first one and I'll use substitution method, which means I'll pug in numbers in the unknown variables to find the value of x. Y=7x-8, I'll substitute the value of y in the equation that I chose and plug in the value of the second equation. Y=7x-8 --> 5x-2=7x-8 (this is our new equation). After that I'll combine like terms. -2+8=7x-5x --> 6=2x  --> 6/2=x --> 3=x. So x=3 and that's the answer using substitution method. If the two points are graphed, they will intersect at the point (3,13). To see where the intersection of the line we can use a calculator to make it faster. So we plug in the points of the two lines in the calculator we graph and find the intersection point.
8 0
3 years ago
Pls help, whoever answers first I’ll mark as brainliest <3
mezya [45]

Answer: r=14

Step-by-step explanation:

because they are vertical angles

7r+6=8r-8

solving for r you get

r=14

6 0
3 years ago
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** Which of the following is parallel to the line 2x + 4y = 16 (A) y = 2x + 5 (B) y = -x + 4 (C) y = -x + 8 (D) y = 2x + 5 =-​
andreev551 [17]

Answer:

None of them.

Step-by-step explanation:

Each and every straight line is of one kind in terms of its pattern: it can be presented in the view of y = kx + b: k is the slope or gradient of the line, b is the y-intercept of the line. I will not let the cat out of the bag if I say that any parallel lines do not intersect one another, hence they should have the same value of coefficient k.

2x + 4y = 16 \Leftrightarrow x + 2y = 8 \Leftrightarrow 2y = -x + 8 \Leftrightarrow y = - \frac{1}{2}x + 4

Therefore, our line has k = - \frac{1}{2} and b = 4 coefficients.

(A) k = 2, b = 5;

(B) k = -1, b = 4;

(С) k = -1, b = 8;

(D) k = 2, b = 5;

Recapitulating this: none of them have the same coefficient k, thus none of them suit us.

8 0
2 years ago
A quadratic function is increasing on the interval x>4 and decreasing on the interval x<4. It has a minimum value of 1 and
statuscvo [17]
O si la verdad esa la multiplicas por cada forma
5 0
3 years ago
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