The measures of the exterior angles of a pentagon are c, 2x, 4x, 5x, and 8x, solve for x

Mathematics

1 answer:

Svetllana [295]3 years ago

5 0

Answer:

Step-by-step explanation:

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A 15 ft. telephone pole has a wire that extends from the top of the pole to the ground. The wire and the ground form a 42° angle

Lorico [155]

Answer:

Correct choice is A

Step-by-step explanation:

Consider right triangle ABC formed by the telephone pole (side AB) and ground (side BC). In this triangle AC is the length of the wire, BC is the distance from the base of the pole to the spot where the wire touches the ground and AB=15 ft, ∠ACB=42°.

Then

$\sin 42^{\circ}=\dfrac{AB}{AC}\Rightarrow AC=\dfrac{AB}{\sin 42^{\circ}}=\dfrac{15}{\sin 42^{\circ}}\approx 22.4\ ft.$
$\tan 42^{\circ}=\dfrac{AB}{BC}\Rightarrow BC=\dfrac{AB}{\tan 42^{\circ}}=\dfrac{15}{\sin 42^{\circ}}\approx 16.7\ ft.$

8 0

3 years ago

Help with #2, thank you :)

marishachu [46]

Answer:

2^6

Step-by-step explanation:

2^2 + 2^4 = 2^6

4 0

2 years ago

Read 2 more answers

Harper has $15.00 to spend at her grocery store. She is going to buy bags of fruit that cost $4.75 each and one box of crackers

Andrej [43]

First write the inequality: 15 $\leq$ 4.75x +3.50

Then to solve, first subtract 3.50 from both sides to get:

11.50 $\leq$ 4.75x

Then divide by 4.75 to get 2.42, and since you can't buy .42 of a bag of fruit, you round down. So your final answer would be 2 bags of fruit.

7 0

3 years ago

Read 2 more answers

A-(buc)=(A-b)u(A-c)<br>

kupik [55]

Step-by-step explanation:

I don't get the question a bit but I hope this makes sense