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2 years ago

Solve the formula for the specified variable. D=1/2fk for f f=

1 answer:

4 0

We are asked to solve the formula $D=\frac{1}{2}fk$ for $f$ . Starting off, we can divide both sides by $k$ , so we are left with only the variable $f$ on the right-hand side. Next, we need to multiply the reciprocoal of $\frac{1}{2}$ , which is $2$ to both sides. This gives us $2*\frac{D}{k}=f$ , which, when simplified, gives us $\boxed{f=\frac{2D}{k}}$ . Hope this helped and have a phenomenal day!

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James purchased five bonds of face value of $1,000 that paid 5% annual interest rate. the total annual interest income of james

Trava [24]

Given:
5 bonds of face value of 1,000 that paid 5% annual interest rate.

5 bonds x 1,000 = 5,000
5,000 x 5% x 1 year = 250

The total annual interest income of James is 250. Each bond earns 50 per annum.

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1 year ago

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I subtract 14 from a certain number I multiply the result by 3 the final answer is 3 what was the number

12345 [234]

Answer:

15.

Step-by-step explanation:

3(x - 14) = 3

3x - 42 = 3

3x = 42 + 3 = 45

x = 15.

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2 years ago

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Consider the graph of f(x) given below.

Andrej [43]

Answer: d

Step-by-step explanation:

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2 years ago

Complete the following proof. Given: Points R, S, T, Q on circle O Prove: m\overarc RS + m\overarc ST + m\overarc TQ + m\overarc

LekaFEV [45]

Answer:

360°

Step-by-step explanation:

From the figure attached,

R, S, T and Q are the points on a circle O.

Since, "measure of an arc of a circle is equal to the measure of the angle subtended by the arc at the center."

By this statement,

$m(\widehat{RS})=m(\angle ROS)$

$m(\widehat{ST})=m(\angle SOT)$

$m(\widehat{TQ})=m(\angle TOQ)$

m(major arc RQ) = m(∠QOR)

Now $m(\widehat {RS})+m(\widehat{ST})+m(\widehat{TQ})$ + m(major arc RQ) = $m(\angle ROS)+m(\angle SOT)+m(\angle TOQ)+m(\angle QOR)$

Since sum of all angles at a point = 360°

$m(\widehat {RS})+m(\widehat{ST})+m(\widehat{TQ})$ + m(major arc RQ) = 360°

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1 year ago

Jill is standing at the base of her apartment building. She measures the angle of elevation to the top of a nearby tower to be 4

almond37 [142]

1) From the measure of 40°, you can write:

tan(40°) = 100/x, where x is the base from the building to the tower

⇒x=100/tan(40°) = 119,18 m

2) From the measure of 30°, you can write

tan(30°) = y / 119,18, where y is the height from the roof of Jill's building to the top of the tower.

Then, y = tan(30°) * 119,18 = 68,81 m

3) The height of Jill's building is 100 - 68,81 = 31,19 m

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1 year ago

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