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MrRissso [65]
3 years ago
9

A bicycle wheel has a radius of 13 inches. What is the distance the bicycle will travel after 30 revolutions of the wheel? Use 3

.14 for π . Enter your answer in the box.
Mathematics
1 answer:
SpyIntel [72]3 years ago
7 0
Radius = 13 inches

Circumference of wheel = 1 revolution
2πr = 2 x 3.14 x 13 = 81.64 inches

1 revolution = 81.64 inches
30 revolutions = 2449.2inches
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Leyla drops a penny from a height of 150 m. How long will it take the penny to hit the ground? Use the formula h(t)=−4.9t^2+vt+h
torisob [31]
To determine the time it  takes for the penny to reach the ground, we use the relation of height and time given above. We do  as follows:
<span>
0 =−4.9t^2+(0)t+150
t = sqrt( 150/4.9)
t = 5.53 s

Hope this answers the question. Have a nice day.</span>
4 0
2 years ago
Read 2 more answers
This recipe makes 4 portions of potato soup.
Dominik [7]

Answer:

120 ml oil

150g onions

1.2 kg potatoes

1.5 litres milk

Step-by-step explanation:

The revipe serves 4 people, but Richard wants to serve 12 people. This is 3x the number of people intended.

So, multiply all the fiven ingredients by 3 as well.

Oil = 40ml x 3 = 120ml

Onions = 50g x 3 = 150g

Potatoes = 400g x 3 = 1200g = 1.2 kg

Milk = 500ml x 3 = 1500ml = 1.5 litres

Hope this helps

4 0
2 years ago
Read 2 more answers
The height h (in feet) of an object dropped from a ledge after x seconds can be modeled by h(x)=−16x2+36 . The object is dropped
kakasveta [241]

Check the picture below.

\bf ~~~~~~\textit{initial velocity in feet} \\\\ h(t) = -16t^2+v_ot+h_o \quad \begin{cases} v_o=\textit{initial velocity}&\\ \qquad \textit{of the object}\\ h_o=\textit{initial height}&\\ \qquad \textit{of the object}\\ h=\textit{object's height}&\\ \qquad \textit{at "t" seconds} \end{cases}

so the object hits the ground when h(x) = 0, hmmm how long did it take to hit the ground the first time anyway?

\bf h(x)=-16x^2+36\implies \stackrel{h(x)}{0}=-16x^2+36\implies 16x^2=36 \\\\\\ x^2=\cfrac{36}{16}\implies x^2 = \cfrac{9}{4}\implies x=\sqrt{\cfrac{9}{4}}\implies x=\cfrac{\sqrt{9}}{\sqrt{4}}\implies x = \cfrac{3}{2}~~\textit{seconds}

now, we know the 2nd time around it hit the ground, h(x) = 0, but it took less time, it took 0.5 or 1/2 second less, well, the first time it took 3/2, if we subtract 1/2 from it, we get 3/2 - 1/2  = 2/2 = 1, so it took only 1 second this time then, meaning x = 1.

\bf ~~~~~~\textit{initial velocity in feet} \\\\ h(x) = -16x^2+v_ox+h_o \quad \begin{cases} v_o=\textit{initial velocity}&0\\ \qquad \textit{of the object}\\ h_o=\textit{initial height}&\\ \qquad \textit{of the object}\\ h=\textit{object's height}&0\\ \qquad \textit{at "t" seconds}\\ x=\textit{seconds}&1 \end{cases} \\\\\\ 0=-16(1)^2+0x+h_o\implies 0=-16+h_o\implies 16=h_o \\\\[-0.35em] ~\dotfill\\\\ ~\hfill h(x) = -16x^2+16~\hfill

quick info:

in case you're wondering what's that pesky -16x² doing there, is gravity's pull in ft/s².

4 0
3 years ago
Eva is making a pattern using these shapes can you arrange Evas shapes to make a symmetrical pattern
ratelena [41]

Answer:

pyramid, cone, sphere, cube

Step-by-step explanation:

A symmetrical pattern is one that is arranged in such a way that there is a progressive repetition of a pattern. Each pattern formed is the same with respect to each other.

Eva could form series symmetrical patterns with the shapes he has, which depends on the arrangement of the shapes to form desired pattern.

One simple pattern to be formed is;

pyramid, cone, sphere, cube

pyramid, cone, sphere, cube

pyramid, cone, sphere, cube

pyramid, cone, sphere, cube.

Thus, this would generate four symmetrical continuous patterns.

pyramid, cone, sphere, cube : pyramid, cone, sphere, cube : pyramid, cone, sphere, cube : pyramid, cone, sphere, cube.

6 0
3 years ago
A market buys mixed nuts at $16 per pound. In order to make a 75% profit, how much will the market charge you per pound?
drek231 [11]
For this, all you'll wanna do is add the answer to this problem to your original number...

16× .75 = 12

now add...

16 + 12 = 28$ per pound...

to make a 75% profit on the markets investment....I think I'll have a salad instead at that price...
5 0
2 years ago
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