A vat of milk has spilled on a tile floor. The milk flow can be expressed with the function r(t) = 4t, where t represents time in minutes and r represents how far the milk is spreading.The spilled milk is creating a circular pattern on the tile. The area of the pattern can be expressed as A(r) = πr2.

Part A: Find the area of the circle of spilled milk as a function of time, or A[r(t)]. Show your work. (6 points)

Part B: How large is the area of spilled milk after 4 minutes? You may use 3.14 to approximate π in this problem. (4 points)

Answers

Answer 1

Answer: Part A

Area = π[r(t)^]2 = π[(4t)^2] =16π(t)^2

Part B

t = 4 min

Area = 16(3.14)(4)^2= 803.84

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What is the exact area of a circle whose diameter is 14 cm?A.
14 straight pi cm2

B.
28 straight pi cm2

C.
49 straight pi cm2

D.
196 straight pi cm2

Answers

Ok so the formula for the area of a circle is pi r2 so first the radius half of 14 is 7 so 7 squared would be 49 so it would be C. and if you wanted to get the estimation you would just multiply pi to 49 I hope this helps :)

How would I complete this equation?

(7a+3)+(-a-5)= -16

Answers

(7a+3)+(-a-5)=-16
Combine like terms:6a-2=-16
Add 2 to both sides: 6a=-14
Divide both sides by 6: a=-14/6
Simplify: a=-7/3

(7a+3)+(-a-5)=-16
6a-2=-16
6a=-14
a=-2.3333333333

Determine if triangle a bc with coordinatesome a (0,2), b (2,5) and c (-1,7) is an isosceles triangle

Answers

it would not be isosceles it would be scalene because a scalene doenst have the same sides all it sides are different

All answers and questions are found in the image

Answers

6 because 46-40=6. you do that because the total is 46 and something + 40 =46 so u subtract.

Find the surface area of a sphere with volume 288 pi m^3. Give your answer in terms of Pi.

Answers

Answer:

144 π cubic meters

Step-by-step explanation:

Formula for surface area of sphere is :

S = 4*π* r^2

We know the volume V = 288*π cubic meters.

V = (4/3)*π*r^3

288*π = (4/3)π*r^3

Solve for r.

(3/4)*288 = r^3

r = 6 meters

S = 4 *π*6^2 = 4*36 * π = 144 π cubic meters

From the Great MysticChaCha :-) ...:-)

Find each quotient.
688÷7=

Answers

okay so if your dividing long division this is how you do it first you would divide 7 into 68 since it can't divide into just 6, and 7 divides into 68, 9 times so you would put 9 on top, and 9 x 7 is 63, so 68 minus 63 is 5 then you would carry down the eight which would make the next number 58 and 7 divides into 58, 8 times, and 7 x 8 is 56, and 58 minus 56 is 2 so the 2 qoes down and the remainder is 2 but if you need multiple remainders the you need to keep on dividing so you need to put a 0 at the end of 688 and you can do this because 688 is the same as 688.0 its the same so you just keep on dividing so you bring the 0 down and that makes 20, 7 goes into 20 2 times so now you would put a .2 on top and 2 x 7 is 14 so 14 goes under the 20 and 20 minus 14 is 6 then you need more than one remainder you just keep going so you add another 0 at the end, so it should look like this 688.00 now and you drop the 0 and that makes the 6 a 60 and 7 goes into 60, 8 times so put a 8 on top and 8 x 7 is 56 and 60 minus 56 is 4 so your answer would be 98.28 but you can keep going this is what i have gotten so far 98.285714, also this is a problem where you aren't going to get an answer where you don't have a remainder
also the numbers .285714 all keep on repeating forever and there's a mathematical sign that you put over decimals like that (that just keep on repeating themselves) but i forgot what its called i know this is long but i hope it helped you:)

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