Mia hiked 2 1/2 miles farther than Jacob.Which could be the two distances each person hiked?

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

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

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

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

part B) check the picture below

5 0

3 years ago

A 20ft ladder is leaning against a house. The bottom of the ladder is 3 ft from the house. To the nearest tenth of a foot, abou

Tasya [4]

Answer: 19.8 ft

Step-by-step explanation:

Use the Pythagorean Theorem formula to solve for how high the top of the ladder reach.

The formula says a^2 + b^2 = c^2

Where a and b are the two legs and C is the hypotenuse.

In this situation, the hypotenuse will be length of the ladder , and either a or b will be the length of the ladder from the building or the length of how long the ladder.

a will be 3 , and c will be 20. Input in the values into the formula and solve for b.

3^2 + b^2 = 20^2

9 + b^2 = 400

-9 -9

b^2 = 391

b = $\sqrt{391}$

b = 19.77371 round to the nearest tenth is , 19.8

8 0

2 years ago

I need help with my math test can anyone get on a zoom to help..

Irina18 [472]

Ans123

Step-by-step explanation:

sure what the zoom

5 0

3 years ago

What's is the converse of the statement?If x is odd, then 2x is even.

dsp73

If you have two statements p and q and $p\Rightarrow q$ is true, then $\neg q\Rightarrow \neg p$ is also true.

In your case, statements are p - "x is odd" and q - "2x is even".

Then $\neg p$ - "x is not odd" and $\neg q$ - "2x is not even."

Hence $\neg q\Rightarrow \neg p$ sounds as: "If 2x is not even, then x is not odd".
Answer: correct choice is D.

7 0

3 years ago

Please help <br> The diagram shows a 5ft student standing near a tree

Novosadov [1.4K]

Answer:

25 ft

Step-by-step explanation:

The diagram shows two triangles that are similar. Similar triangles have equal angles and sides that are proportional to each other. Since the base of each triangle is given, we can find the proportion of the sides:

$\frac{smaller}{larger}=\frac{8}{40}=\frac{1}{5}$

Given the ratio of the smaller to larger triangle, we can set up a proportion to find the missing height of the larger triangle:

$\frac{1}{5}=\frac{5}{x}$ , where 'x' represent the height of the tree

cross-multiply: x = (5)(5) or 25 ft

8 0

3 years ago