The diameter of your bicycle wheel is 20 inches. How far will you move in one turn of your wheel?

Answers

Answer 1

Answer: To do this, You must know the formula. D=3.14l*r Or, Distance=3.14length*revolutions
3.14 is pi.
Revolutions are the turns of a wheel.
Plug in your numbers. D=3.14*20*1
D=62.8 inches

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One angle is 36°. What is the measure of its complement?A) 54°

B) 64°

C) 144°

D) 324°

Answers

2 angles are complementary when they add up to 90 degrees.

Therefore, 90-36=54

So the answer is A - 54 degrees

A because a complementary angle always adds to 90 degrees so 90-36=54

Ratio of two volume cylinders (Geometry)

If two similar cylinders have heights of 75cm and 25cm. What is the
ratio of the volume of the larger cylinder to the volume of the smaller
cylinder? Can someone please explain in detail. Thank you!

Answers

The ratio of the lengths is 75 : 25 or 3 : 1

The ratio of and area is the square of this: ie 9 : 1 or 75^2 : 25^2
(In working out the area the radius is squared)

The ratio of the volumes is the cube of this: ie 27 : 1 or 75^3 : 25^3
(In working out the volume the radius is cubed)

Hopefully this explains it

V1 = π* ( r1)^2 * 75;
V2 = π* ( r2)^2 * 25;

V1/V2 = (r1/r2)^2 * 3.

Tom has offered to sell Julian his motorcycle for $1,200. Julian knows this is a very good deal, since the same motorcycle can be purchased at the dealership for $1,800. Since Julian doesn’t have $1,200 and Tom does not accept credit cards, they both think a cash advance might be a good idea. Julian’s credit card company can offer him a cash advance for the $1,200 he needs at an interest rate of 26%. He would then pay off the balance in 24 months. Should Julian use the cash advance to purchase the motorcycle?
a.
No. Julian would be paying too much in interest to warrant using a cash advance.
b.
Yes. Even with the interest, the total cost of the motorcycle would be less than at the dealership.
c.
Yes. The interest rate on the cash advance is low. Julian will not have to pay much interest on the cash advance.
d.
No. The high interest rate on the cash advance would make the purchase of the motorcycle almost twice than the price at the dealership.

Answers

we know that

$26\%= (26)/(100) =0.26$

the total cost of the motorcycle with Julian's credit card company is equal to

$(1+0.26)*\$1,200= \$1,512$

the cost of the motorcycle at the dealership is $\$1,800$

$\$1,512 < \$1,800$

therefore

the answer is the option B

Yes. Even with the interest, the total cost of the motorcycle would be less than at the dealership

I would say that it is a good deal because if we assume that the problem is about simple interest, then Julian will pay 50 per month times 26% of that. If we add up all the sums,, Julian will pay 1200 + a total interest 312 at the end of 24 months. This totals 1512 which is still cheaper than paying 1800 for a bike in the store.

If 4/3x - 1/2 = 0 then x=

Answers

4/3x - 1/2 = 0 Given
4/3x = 1/2 Add 1/2 to both sides
x = 3/8 Multiply each side by 3/4

It is important when doing equations like these to remember that you need to multiply by the reciprocal of the fraction, not divide by it. For example, if another you have 1/2x = 1, you need to multiply by 2/1 or 2, not divide by 1/2.

How many dollars is 16% of $ 655

Answers

We can set up a proportion

Part/whole = %/100

X/655 = 16/100

655 x 16 = 10,480

10,480/100 = 104.8

16% of $655 is $104.80

Find the diameter of the base of a right cylinder if the surface area is 128(pi) and the height is 12cm.

Answers

$d=2r\n A=128 \pi \n A=2 \pi r^(2) +2 \pi rh \n\n 2 \pi r^(2) +2 \pi rh = 128 \pi \n 2 r^(2) +2rh = 128\n 2 r^(2)+24r-128=0\n r^(2)+12r-64=0\n delta=400\n r_(1/2) = -16/4 \n r=4cm\n d=8cm\n$

Radius / diameter as a length cannot be negative, that's why '-16' is wrong.

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