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3 years ago

Find the volume of this. Show work.

Mathematics

1 answer:

Yuri [45]3 years ago

6 0

Answer: 471.24 (with 3.14 as pi)

Step-by-step explanation:

Volume of cylinder = pi*r^2*height

Radius = 10/2 = 5

Pi*25^2*6 = 471.24

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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

Helppppppppp pleaseeee Someoneeeee pleaseeee I neeed

Stella [2.4K]

Answer:

The minimum value of f(x) is 2

Step-by-step explanation:

To find the minimum value of the function f(x), you should find the value of x which has the minimum value of y, so we will use the differentiation to find it

Differentiate f(x) with respect to x and equate it by 0 to find x, then substitute the value of x in f(x) to find the minimum value of f(x)

∵ f(x) = 2x² - 4x + 4

→ Find f'(x)

∵ f'(x) = 2(2) $x^{2-1}$ - 4(1) $x^{1-1}$ + 0

∴ f'(x) = 4x - 4

→ Equate f'(x) by 0

∵ f'(x) = 0

∴ 4x - 4 = 0

→ Add 4 to both sides

∵ 4x - 4 + 4 = 0 + 4

∴ 4x = 4

→ Divide both sides by 4

∴ x = 1

→ The minimum value is f(1)

∵ f(1) = 2(1)² - 4(1) + 4

∴ f(1) = 2 - 4 + 4

∴ f(1) = 2

∴ The minimum value of f(x) is 2

7 0

3 years ago

Use appropriate tools . How can you use a graph to determine that a relationship is not a function ?

sergey [27]

Answer:

by showing dots and correlations in a graph which will have an estimated slope, while not a definite one

Step-by-step explanation:

8 0

3 years ago

Whats the are partial products of 35 x 7?<br><br> (ITS NOT 245)

never [62]

Write it out then put put it as standard notation then multiply 7 with 30 and 5 then get answer and add it up and that would be ur final answer

5 0

3 years ago

Read 2 more answers

Find the simple interest to the nearest cent. PLEASE HELP

Ipatiy [6.2K]

1. $546.00

2. $180.00

3. $141.38

4. $3762.00

Hope I could help !
Let me know if you need help with anything else, I would be more than happy to help.
My Username: Ashlynnicole02

8 0

3 years ago