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3 years ago

Given a dilation with the origin O (0, 0), by observation determine the scale factor "K."

Mathematics

2 answers:

timurjin [86]3 years ago

7 0

15 is 3 times 5. The point (5, 0) is dilated to the point (15, 0) by using a factor of
K = 3.

jeka943 years ago

7 0

Answer:

The correct option is b) 3

Step-by-step explanation:

A dilation with the origin O (0, 0),

DO, K = (5, 0) (15, 0)

we need to determine the scale factor "K"

Since, 15 is 3 times of 5.

The point (5, 0) is dilated to the point (15, 0) by using a determine the scale factor of K = 3.

Therefore, the correct option is b) 3 .

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3 years ago

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Which mathematical equation represents the solution for k in the equation h + 3 = jk + 6k ?

Tomtit [17]

Answer:

The answer is D. h+3/j+6.

Step-by-step explanation:

Given:

The equation h + 3 = jk + 6k.

Now, to get the mathematical expression.

$h + 3 = jk + 6k$

So, taking $k$ common on R.H.S we get:

$h + 3 = k(j + 6)$

Then, dividing both sides by $j+6$ we get:

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3 years ago

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3 years ago

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3 years ago

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