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3 years ago

The Big Wheel at a theme park has a diameter of 5m. How far would you travel in one complete revolution of the wheel?

Mathematics

1 answer:

vampirchik [111]3 years ago

6 0

Answer:

15.71m

Step-by-step explanation:

One revolution is equal to the circumference of the wheel

Circumference = πD

22/7 X 5 = 15.71m

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HELPP!!

Tamiku [17]

Answer:

$1,562.50

Step-by-step explanation:

Markup= (selling price- cost)/cost

Let cost be represented by C

0.20 = (1875-C)/ C

0.20C = 1875 - C

0.20C+ C = 1875

1.20C=1875

Divide both sides by 1.20;

C= 1875/1.20

C= $1,562.50

The wholesale cost was $1,562.50

4 0

3 years ago

Karen bought 203 stickers. Each sheet had 13 stickers.She gave away 809 stickers to her friends. How many stickers does Karen ha

andrew11 [14]

Answer:

1830 sickers, 140.8 sticker sheets left

Step-by-step explanation:

13*203 = 2639

2639-809=1830

3 0

3 years ago

Yolanda is planning to put a pool in her backyard. The scaled model below gives the reduced measures for diameter and depth. Not

VMariaS [17]

Correct Answer:
C option: 6 feet

Solution:
Since Yolanda wants to keep the pool in proportion to the model, the ratio of diameter to depth of model and the pool will be same.

Let the depth of pool is x feet. So we can write:

Ratio of Diameter to Depth of Model = Ratio of Diameter to Depth of pool
 $18:4=27:x \\ \\ 
 \frac{18}{4} = \frac{27}{x} \\ \\ 
x=27* \frac{4}{18} \\ \\ 
x=6$

This means the depth of pool should be 6 feet if Yolanda wants to keep the pool in proportion to the model.

7 0

3 years ago

Read 3 more answers

A pizza pan is removed at 9:00 PM from an oven whose temperature is fixed at 450°F into a room that is a constant 70°F. After 5

gladu [14]

Answer:

A) It will get to a temperature of 125°F at 9:19 PM

B) It will get to a temperature of 150°F at 9:16 PM

C) as time passes temperature approaches the initial temperature of 450°F

Step-by-step explanation:

We are given;

Initial temperature; T_i = 450°F

Room temperature; T_r = 70°F

From Newton's law of cooling, temperature after time (t) is given as;

T(t) = T_r + (T_i - T_r)e^(-kt)

Where k is cooling rate and t is time after the initial temperature.

Now, we are told that After 5 minutes, the temperature is 300°F.

Thus;

300 = 70 + (450 - 70)e^(-5k)

300 - 70 = 380e^(-5k)

230/380 = e^(-5k)

e^(-5k) = 0.6053

-5k = In 0.6053

-5k = -0.502

k = 0.502/5

k = 0.1004 /min

A) Thus, at temperature of 125°F, we can find the time from;

125 = 70 + (450 - 70)e^(-0.1004t)

125 - 70 = 380e^(-0.1004t)

55/380 = e^(-0.1004t)

In (55/380) = -0.1004t

-0.1004t = -1.9328

t = 1.9328/0.1018

t ≈ 19 minutes

Thus, it will get to a temperature of 125°F at 9:19 PM

B) Thus, at temperature of 150°F, we can find the time from;

150 = 70 + (450 - 70)e^(-0.1004t)

150 - 70 = 380e^(-0.1004t)

80/380 = e^(-0.1004t)

In (80/380) = -0.1004t

-0.1004t = -1.5581

t = 1.5581/0.1004

t ≈ 16 minutes.

Thus, it will get to a temperature of 150°F at 9:16 PM

C) As time passes which means as it approaches to infinity, it means that e^(-kt) gets to 1.

Thus,we have;

T(t) = T_r + (T_i - T_r)

T_r will cancel out to give;

T(t) = T_i

Thus, as time passes temperature approaches the initial temperature of 450°F

6 0

3 years ago

Three multiplied by the sum of 4 and a number is the same as 18 more than the number. Find the number

CaHeK987 [17]

Answer:

n= 3

Step-by-step explanation:

3 (4 + n) = n + 18

you take 3x4=12

then 3x3=9 then you add 12 and 9 which would be in the ( )

12+9 = 21

then if you replace n =3 on other side and add it to 18 answer is 21

therefore both sides would equal 21 so n=3

3(4+3)=3+18

21=21

6 0

3 years ago

Read 2 more answers