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Mkey [24]
2 years ago
14

A circle rolls once, without slipping, along the outside of a square with sides of length 4 inches, and returns to its starting

point at A. The radius of the circle is 1 inch. To the nearest hundredth of an inch. how far does the center of the circle travel? (Use 3.14 for pi)
PLS PLS HELP. And show work and explain!

Mathematics
1 answer:
pentagon [3]2 years ago
3 0

Answer:

16 inches

Step-by-step explanation:

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A+3ab+67a-2ab-1 and for 5 stars​
aleksley [76]

Answer:

68a+ab−1

Step-by-step explanation:

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6 0
2 years ago
Read 2 more answers
!!!! I NEED HELP RIGHT NOW ITS DUE IM 5 MINUTES !!!!
kiruha [24]

Answer:

Step-by-step explanation:

A = h(a+b)/2 for h

2A = h(a + b)

h(a+b) = 2A

h = 2A/(a+b)

3 0
2 years ago
The base of pyramid A is a rectangle with a length of 10 meters and a width of 20 meters. The base of pyramid B is a square with
ollegr [7]
Given:
Pyramid A: Base is rectangle with length of 10 meters and width of 20 meters.
Pyramid B: Base is square with 10 meter sides.
Heights are the same.

Volume of rectangular pyramid = (L * W * H) / 3
Volume of square pyramid = a² * h/3

Let us assume that the height is 10 meters.
V of rectangular pyramid = (10m * 20m * 10m)/3 = 2000/3 = 666.67 m³
V of square pyramid = (10m)² * 10/3 = 100m² * 3.33 = 333.33 m³

The volume of pyramid A is TWICE the volume of pyramid B.

If the height of pyramid B increases to twice the of pyramid A, (from 10m to 20m),  

V of square pyramid = (10m)² * (10*2)/3 = 100m² * 20m/3 = 100m² * 6.67m = 666.67 m³

The new volume of pyramid B is EQUAL to the volume of pyramid A.
4 0
2 years ago
Read 2 more answers
At 11:00 a.M., there are 400 members and 150 non-members visiting a museum. After 11:00 a.M., 10 members leave every five minute
alexdok [17]

Answer:

16:27

Step-by-step explanation:

GIVEN: At 11:00\text{ A.M.}, there are 400 members and 150 non-members visiting a museum. After 11:00\text{ A.M.},  10 members leave every five minutes and 5 non-members arrive every five minutes.

TO FIND: ratio of members to non-members at 1:00\text{ P.M.}

SOLUTION:

Total number of members in museum at 11:00\text{ A.M.} =400

as after every 5 minutes 10 members leave

total number of  5 minutes interval in 2 hour =\frac{60}{5}=12

total members at  1:00\text{ P.M.}  =400-10\times24

                                                =160

Total number of non-members in museum at  11:00\text{ A.M.} =150

as after every 5 minutes 5 non-members arrive

total number of  5 minutes interval in 2 hour =\frac{60}{5}=12

total non-members at  1:00\text{ P.M.}  =150+5\times24

                                                        =270

ratio of members to non-members at   1:00\text{ P.M.}  =\frac{\text{number of members}}{\text{number of non-members}}

                                                                                  =\frac{160}{270}

                                                                                  =\frac{16}{27}

Hence the ratio of members to non-members at 1:00\text{ P.M.} is \frac{16}{27}

5 0
2 years ago
The tires of a tractor are 4.5 feet tall. How many 360-degree rotations do the tires make when the tractor travels 170 feet? Rou
slavikrds [6]
Hello! 

Ok so we have a tire 4.5ft in diameter. We want to know how many revolutions it makes in 170ft

So we have s=r*theta where s is arc length or distance traveled and r is the radius and theta is the angle in radians that it travels through, and this is what we want to know. We are given the rest so we have;

170ft=4.5ft/2 * theta so solving for theta we get 

theta=340ft/4.5ft = 75.56 radians so now we just convert radians to revolutions and we know pi=3.14rad and 2pi is one rev and to convert to degrees its radians*( 360/2pi)=deg and this reduces to 180/pi so we have;


75.56radians * 180/pi = 4329 degrees travelled through so to get revolutions we now just divide this by 360deg for total revs. So we have;

4329deg/360deg=12 revolutions

Hope this helps! Any questions please ask! Thank you so much!
5 0
2 years ago
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