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3 years ago

The distance from the center of a round horse corral to the fence is 25 yards. What is the area of the horse corral?

Mathematics

1 answer:

Ksivusya [100]3 years ago

7 0

Answer:

625 pi (no approximation)or 1962.5(approximation)

Step-by-step explanation:

You do pi times radius squared.

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In a free-fall experiment, an object is dropped from a height of h = 400 feet. A camera on the ground 500 ft from the point of i

PilotLPTM [1.2K]

Hmmm the object, is at rest, when dropped, so it has a velocity of 0 ft/s

the only force acting on the object, is gravity, using feet will then be -32ft/s²,

was wondering myself on -32 or 32.. but anyhow... we'll settle for the negative value, since it seems to be just a bit of convention issues

so, we'll do the integral to get v(t) then

$\bf \displaystyle \int -32\cdot dt\implies -32t+C
\\\\\\
\textit{object moves from \underline{rest}, so velocity is 0 at 0secs}
\\\\\\
-32(0)+C=0\implies C=0\implies \boxed{v(t)=-32t}
\\\\\\
\textit{now to get the positional s(t)}
\\\\\\
\displaystyle \int -32t\cdot dt\implies -16t^2+C
\\\\\\
\textit{the initial \underline{position} was 400ft away at 0secs}
\\\\\\
-16(0)^2+C=400\implies C=400\implies \boxed{s(t)=-16t^2+400}$

when will it reach the ground level? let's set s(t) = 0

$\bf s(t)=-16t^2+400\implies 0=-16t^2+400\implies \cfrac{-400}{-16}=t^2
\\\\\\
25=t^2\implies \boxed{5=t}$

part B) check the picture below

5 0

2 years ago

Because of their small size, the sea lion pups are more vulnerable to changes in their environment and are less able to adapt to

Wittaler [7]

? Whats the question? This is a statement??

7 0

3 years ago

Factor completely 20x^3y + 30x^2y^2.

weqwewe [10]

Answer:

10x^2 y(2x + 3y)

Step-by-step explanation:

20x^3 y + 30x^2 y^2.

Factor 10x^2y out of 20x^3y.

10x^2 y (2x) + 30x^2 y^2

Factor 10x^2y out of 30x^2y^2.

10x^2 y (2x) + 10x^2 y (3y)

Factor 10x^2y out of 10x^2 y (2x) + 10x^2 y (3y).

10x^2 y(2x + 3y)

you factor out 10x^2y from both side which you will then get 10x^2 y (2x) + 10x^2 y (3y) than you factor out 10x^2y again and get 10x^2 y(2x + 3y) your third option

6 0

3 years ago

Just Checking

Luda [366]

The answer is b because 95 confidence is interval for the mean lifespan

7 0

3 years ago

9. What's the least common multiple (LCM) of 2, 6, and 8?

algol [13]

Answer:

Step-by-step explanation:

The LCM or least common multiple of these numbers is 24

To get 24, you list all the multiple of these numbers until they all share at least one

2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24

6, 12, 18, 24

8, 16, 24

They all share 24 so this is the LCM

Hope this helps

-GoldenWolfX

3 0

3 years ago