What are the dimensions of the rectangle if its area is 525 ft2?

Tom [10]

Your answer would be two

6 0

3 years ago

A street light is at the top of a 25 ft pole. A 4 ft tall girl walks along a straight path away from the pole with a speed of 6

Burka [1]

Answer:

Tip of the shadow of the girl is moving with a rate of 7.14 feet per sec.

Step-by-step explanation:

Given : In the figure attached, Length of girl EC = 4 ft

Length of street light AB = 25 ft

Girl is moving away from the light with a speed = 6 ft per sec.

To Find : Rate ( $\frac{dw}{dt}$ ) of the tip (D) of the girl's shadow (BD) moving away from th

light.

Solution : Let the distance of the girl from the street light is = x feet

Length of the shadow CD is = y feet

Therefore, $\frac{dx}{dt}=6$ feet per sec. [Given]

In the figure attached, ΔAFE and ΔADE are similar.

By the property of similar triangles,

$\frac{x}{21}=\frac{x+y}{25}$

25x = 21(x + y)

25x = 21x + 21y

25x - 21x = 21y

4x = 21y

y = $\frac{4x}{21}$

Now we take the derivative on both the sides,

$\frac{dy}{dt}=\frac{4}{21}\times \frac{dx}{dt}$

= $\frac{4}{21}\times 6$

= $\frac{8}{7}$

≈ 1.14 ft per sec.

Since w = x + y

Therefore, $\frac{dw}{dt}= \frac{dx}{dt}+\frac{dy}{dt}$

$\frac{dw}{dt}=6+1.14$

= 7.14 ft per sec.

Therefore, tip of the shadow of the girl is moving with a rate of 7.14 feet per sec.

3 0

3 years ago

Ms. Goodwin earns $2570 for each 2-wk pay period. How much will she make in 28 wks?

Salsk061 [2.6K]

$35,980 would be the correct answer.
$2570x14(paid bi weekly)

8 0

3 years ago

The table below shows the linear relationship between the number of people at a picnic and the total cost of the picnic.

REY [17]

Wheres the table at bro post a pic

3 0

2 years ago

Read 2 more answers

Find the exact volume of the cylinder.

Verizon [17]

Answer:

$\boxed {\boxed {\sf C. \ 200 \pi \ ft^3}}$

Step-by-step explanation:

We are asked to find the volume of the cylinder. The formula for calculating a cylinder's volume is:

$v= \pi r^2 h$

We know the height of the cylinder is 8 feet. We are given the diameter, the distance from edge to edge through the center. We want to find the radius, the distance from the edge to the center.

The radius is half the diameter.

r = d/2
r= 10 ft/2
r=5 ft

We know both variables (h= 8ft and r=5 ft) and can substitute them into the formula.

$v= \pi (5 \ ft)^2 * (8 \ ft)$

Solve the exponent.

5 ft * 5ft = 25 ft²

$v= \pi (25 \ ft^2)(8 \ft)$

Multiply the numbers in parentheses.

$v= \pi (200 \ ft^3)$

$v= 200 \pi \ ft^3$

The volume of the cylinder is <u>200π cubic feet and choice C is correct.</u>

5 0

2 years ago