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Anika [276]
3 years ago
7

Which of the following is a factor of 6x? + 2x - 21? (1 point)

Mathematics
1 answer:
Leviafan [203]3 years ago
3 0

Answer:

(3x+3)^2

hope you get help from me

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Howard is designing a chair swing ride. The swing ropes are 4 44 meters long, and in full swing they tilt in an angle of 2 3 ∘ 2
qaws [65]

Question:

Howard is designing a chair swing ride. The swing ropes are 4 meters long, and in full swing they tilt in an angle of 23°. Howard wants the chairs to be 3.5 meters above the ground in full swing. How tall should the pole of the swing ride be? Round your final answer to the nearest hundredth.

Answer:

7.18 meters

Step-by-step explanation:

Given:

Length of rope, L = 4 m

Angle = 23°

Height of chair, H= 3.5 m

In this question, we are to asked to find the height of the pole of the swing ride.

Let X represent the height of the pole of the swing ride.

Let's first find the length of pole from the top of the swing ride. Thus, we have:

cos \theta = \frac{h}{L}

Substituting figures, we have:

cos(23) = \frac{h}{4}

Let's make h subject of the formula.

h = 4cos(23) = 3.68

The length of pole from the top of the swing ride is 3.68 meters

To find the height of the pole of the swing ride, we have:

X = h + H

X = 3.68 + 3.5

X = 7.18

Height of the pole of the swing ride is 7.18 meters

3 0
3 years ago
You want to find the height of a tower used to transmit cellular phone calls. You stand 100 feet away from the tower and mesure
nevsk [136]

Answer:

84 feet to the nearest foot.

Step-by-step explanation:

We have a right angled triangle with adjacent side (A) = 100 and you want to find the height of the tower, the opposite side (O).

A = 100 , O = ? so we need the tangent , (from SOH-CAH-TOA).

tan 40 = O/ 100

O = 100 tan 40

= 83.9 feet.

8 0
3 years ago
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