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Naddika [18.5K]
3 years ago
10

Let f(x) = 4x + 5 and g(x) = x2 - 9x + 20. f(x) g(x)

Mathematics
1 answer:
Reil [10]3 years ago
7 0

Answer:97

97

Step-by-step explanation:

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A surveyor found the angle of elevation from the ground to the top of the building at two locations 20 feet apart as shown below
Serga [27]

Applying the sine ratio and law of sines, the correct measurements are:

B. m∠B = 15°

E. h ≈ 31.28 ft.

<h3>What is the Sine Ratio?</h3>

Sine ratio that can be used to determine the side length of a right triangle is, sin ∅ = opposite side/hypotenuse.

Find c using the law of sines:

C = 33°

A = 180 - 48 = 132 [linear pair]

B = 180 - 33 - 132 = 15° [triangle sum theorem]

b = 20 ft

c = ?

Using the law of sines, b/sin B = c/sin C, we have:

20/sin 15 = c/sin 33

(c)(sin 15) = (20)(sin 33)

c = (20 × sin 33)/sin 15

c ≈ 42.09

Use the sine ratio to find h:

∅ = 48°

Hypotenuse = c = 42.09

Opposite = h = ?

sin 48 = h/42.09

h = (sin 48)(42.09)

h ≈ 31.28

The correct measurements are:

B. m∠B = 15°

E. h ≈ 31.28 ft

Learn more about the sine ratio on:

brainly.com/question/2920412

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4 0
2 years ago
10 squared divided by 2c -b + 3a<br><br> A = 1/3<br> B= 9<br> C = 5
Svet_ta [14]

Answer:

50

Step-by-step explanation:

Figure out all variables

100/(2x5= 10)-9+(3x.33=1)

100/10-9+1

100/2

50

8 0
3 years ago
A certain solution of salt water is 10% salt and weighs 50 pounds., More salt must be added to produce a solution that ls
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what are do you want from me i don't even know my bad

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Write an equation in slope-intercept forra for the line that passes through (1, - 2) and (3, 7)
Llana [10]

Answer:

y = 9/2x -6.5

Step-by-step explanation:

m = (7-(-2))/(3-1)

m = 9/2

b = -6.5

y = 9/2x -6.5

5 0
3 years ago
William had a borad that was 5ft. 3in. He cut off a peice that was 2ft. 8in. long. How much board does he have left?
Angelina_Jolie [31]
All you have to do here is convert the mixed number measurements to inches. Because there are 12 inches in a foot, 5ft. 3in. becomes 63 inches. 2ft. 8in. becomes 32 inches. 63-32=31 inches, which is 2ft. 7in.
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