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Rzqust [24]
3 years ago
7

Find bc to the nearest tenth

Mathematics
1 answer:
egoroff_w [7]3 years ago
6 0

Answer:

BC ≈ 3.3

Step-by-step explanation:

Using the tangent ratio in the right triangle.

tan A = \frac{opposite}{adjacent} , that is

tan20° = \frac{BC}{AB} = \frac{BC}{9} ( multiply both sides by 9 )

9 × tan20° = BC , then

BC ≈ 3.3 ( to the nearest tenth )

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Answer:

<u>1st pic:</u>

x = 49

top angle = 45

bottom angle = 108

far right angle = 27 degrees

<u>2nd pic:</u>

angle 1 = 88 degrees

angle 2 = 57 degrees

angle 3 = 35 degrees

angle 4 = 145 degrees

Step-by-step explanation:

<u>1st pic:</u>

you can find the far right angle by taking 153 and subtracting it from 180:

⇒ 180 - 153 = 27 degrees

you can find x by the following equation ⇒ x - 4 + 2x + 10 + 27 = 180

combine like terms ⇒ 3x + 33 = 180

subtract 33 from each side ⇒ 3x + 33 - 33 = 180 - 33 ⇒ 3x = 147

divide 3 on each side: ⇒ \frac{3x}{3} = \frac{147}{3}

x = 49

to find the top and bottom angles, substitute 49 for x:

top angle : x - 4

49 - 4 = 45 degrees

bottom angle: 2x + 10

2 x 49 + 10 = 108 degrees

<u>2nd pic:</u>

angle 1:

⇒ 180 - 92 = 88 degrees

angle 2:

⇒ 180 - 123 = 57 degrees

angle 3:

⇒ 180 - (88 + 57) = 35 degrees

angle 4:

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a. By the chain rule,

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j(1) = f(1) = 2

Possibly you're supposed to instead find j'(1), in which case

j'(1) = f'(1) = 3

Or maybe j is defined like

j(x) = 1/f(x)

in which case the chain rule gives

j'(x) = -f'(x)/f(x)^2

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