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solniwko [45]
3 years ago
8

To the nearest foot, what is the diameter of a circle whose circumference is 47.1 feet?

Mathematics
1 answer:
Trava [24]3 years ago
7 0

Answer:

94.2

Step-by-step explanation:

You might be interested in
A water tank has a square base of area 5 square meters. Initially the tank contains 70 cubic meters. Water leaves the tank, star
ANEK [815]

Answer:

9.2\ \text{m}

Step-by-step explanation:

b = Surface area of base = 5 square meters

Volume of water in tank = 70 cubic meters

The rate at which the volume is reducing is

\dfrac{dV}{dt}=2+4t\\\Rightarrow dV=2+4tdt

Integrating from t=0 to t=3

V=\int^3_0(2+4t)dt\\\Rightarrow V=2t+2t^2|_0^3\\\Rightarrow V=2\times 3+2\times 3^2-0\\\Rightarrow V=24

Volume of water remaining in the tank is 70-24=46\ \text{m}^3

Suface area of base \times depth = Volume

5\times d=46\\\Rightarrow d=\dfrac{46}{5}\\\Rightarrow d=9.2\ \text{m}

The depth of the water remaining in the tank is 9.2\ \text{m}.

3 0
3 years ago
Dr. W Sweet Rides Car Rental charges a flat fee of $24 and an additional $0.35 for every mile the car is driven. Which function
kompoz [17]

Step-by-step explanation:

this is a strange rental company charging no daily fees.

but ok.

so, we have a fixed part of the cost : $24

we have to pay that no matter how many miles we drive. even for 0 miles, just to get the keys to the car.

and then we pay $0.35 for every mile driven.

that makes our function

C(x) = 0.35x + 24

and if we drive 40 miles, that makes x = 40.

C(24) = 0.35×40 + 24 = 14 + 24 = $38

it would cost us $38.

3 0
3 years ago
PLEASE HELP THANK YOU!!!
Paul [167]

Answer:

Only C is a function

Step-by-step explanation:

To test whether a graph is a function you use the vertical line test.

If you can place a vertical line anywhere on the plane (in the domain of the "function" to be tested) and it intersects the curve at more than one point, the curve is not a function.

We see with A, wherever we put the vertical line it intersects twice.

With B, it intersects infinitely many times.

C is a function because wherever we put the vertical line, it only intersects once.

D is a function because it intersects twice providing we do not put it on the "tip" of the parabola.

The mathematical reasoning behind this is that a function must be well-defined, that is it must send every x-value to one specific y-value. There can be no confusion about where the function's input is going. If you look at graph B and I ask you what is f(3)? Is it 1? 2? 3? ... Who knows, it's not well-defined and so it's not a function. However if I ask you about C, whichever input value for x I give you, you can tell me to which y-value it gets mapped/sent to.

7 0
3 years ago
Please help...<br> i rlly need help on this
melamori03 [73]

Answer:

3

Step-by-step explanation:

Since

3 : 2 = X : 2

Then we know

3/2 = X/2

Multiplying both sides by 2 cancels on the right

2 × (3/2) = (X/2) × 2

2 × (3/2) = X

Then solving for X

X = 2 × (3/2)

X = 3

Therefore

3 : 2 = 3 : 2

5 0
3 years ago
The population standard deviation of the numbers 3, 8, 12, 17, and 25 is 7.563 correct to 3 decimal places. what happens if each
user100 [1]
Let's figure this out as though we have no idea what the answer would be.

Step One
Find the new five numbers.
3*3, 8*3, 12*3, 17*3, 25*3
9 , 24 , 36, 51, 75

Step 2
Find the average
(9 + 24 + 36 + 51 + 75)/5 = 195/5 = 39

Step 3
Subtract the individual numbers from the average
(39 - 9) = 30
(39 -24) = 15
(39 - 36) = 3
(39 - 51) = - 12
(39 - 75) = -36

Step 4 
Square the results from Step 3
30^2 = 900
15^2 = 225
3^2 = 9
(-12)^2 = 144
(-36)^2 = 1296

Step 5
Take the average of the results from step 4
(900 + 225 + 9 + 144 + 1296)/5
2574 / 5 = 514.8

Step 6
Take the square root of the result from step 5
deviation = sqrt(514.8)
deviation = 22.689

Step seven 
Compare the two standard deviations.
s2/s1 = 22.689 / 7.563 = 3

Conclusion
If you are given 1 set of numbers to find a population standard deviation and you multiply each member by a, then the result will be a * the standard population deviation of the first set of numbers.

Note
Your calculator will do this as well, but you have to know how to enter the data into your calculator. That requires that you follow the directions carefully. 

7 0
3 years ago
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