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Pavlova-9 [17]
3 years ago
14

Which equation can be used to solve for b? Triangle A B C is shown. Angle A C B is 90 degrees and angle C B A is 30 degrees. The

length of side B C is 8 feet, the length of B A is c, and the length of C A is b. b = (8)tan(30o) b = StartFraction 8 Over tangent (30 degrees) EndFraction b = (8)sin(30o) b = StartFraction 8 Over sine (30 degrees) EndFraction

Mathematics
2 answers:
STALIN [3.7K]3 years ago
8 0

Answer:

b=(8)tan(30\°)

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

In the right triangle ABC, the tangent of angle of 30 degrees is equal to divide the opposite side to the angle of 30 degrees (AC) by the adjacent side to the angle of 30 degrees (BC)

tan(30\°)=AC/BC

substitute the given values

tan(30\°)=b/8

Solve for b

b=(8)tan(30\°)

galina1969 [7]3 years ago
8 0

Answer:

b=(8)tan(30\°)

Step-by-step explanation:

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Solve for f<br> -f +2 + 4f = 8 - 3f
Ulleksa [173]

Answer:

f=1

Step-by-step explanation:

Let start off with doing -f plus 4f which gives you 3f. The equation would now be 2+3f=8-3f. Add 3f so you can cancel out the -3f and add the 3f to the other 3f. Now your equation is 2+6f=8. Cancel out do by doing -2. (Don't forget to to it to the 8 also.) Now your equation is 6f=6. Divide 6 from both sides to get 1. (You divide because you want to get f alone.

4 0
3 years ago
A rectangular painting by Leonardo da Vinci measured 62cm along its diagonal. If the painting has a height of 42 cm how wide is
IRINA_888 [86]

ANSWER

45.6cm to the nearest tenth.

EXPLANATION

The diagonal of the rectangular painting is 62cm.

The height of the painting is 42 cm.

The height of the painting h , the diagonal, and the width of the painting forms a right triangle with the diagonal being the hypotenuse.

From the Pythagoras Theorem,

{w}^{2}  +  {42}^{2}  = {62}^{2}

{w}^{2} = {62}^{2} -  {42}^{2}

{w}^{2}  = 2080

{w} =  \sqrt{2080}

w = 4 \sqrt{130}

The width of the painting is 45.6cm to the nearest tenth.

4 0
3 years ago
Prove that 25^9+5^17is divisible by 30
VLD [36.1K]

Answer:

proof is below

Step-by-step explanation:

Answer:

25^9 + 5^17=

=2^18 + 5^17

=5^17(5+1)

=5^17×6

=5^16×30  is divisible by 30

6 0
2 years ago
8 more questions until I’m done
alexandr1967 [171]

Answer:

its a

Step-by-step explanation:

3 0
3 years ago
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a telephone pole casts a 10 food shadow. A horse that stands 5.5 feet tall casts a 2.5 foot shadow. How tall is the pole?
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Answer:

72

i think i remember doing this

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3 years ago
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