what is the volume of a rainwater collection tank that is shaped like a cylinder with a diameter of 10 cm when using 3.14 for $\pi$

Answers

Answer 1

Answer: The equation to find the volume of a cylinder is V= $\pi$ ×r²×h. To find r you just divide the diameter which is 10 by 2 so r is 5. Just plug everything in and solve, V= $\pi$ ×5²×243.84. You should get V≈19,151.15

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The exact value of cos 13pi/8 is

Answers

Answer:

sqt root 2-sqt root 2/4

Step-by-step explanation:

Answer:

square root of 2- square root of 2 all over 4

Step-by-step explanation:

If I got 15 dollars a WEEK how much money would I have saved up after 4 years?

Answers

2880 is the answer because 4 weeks in a month then times it by 15 and get 60 the 12 times 4 and get 48 and then 48 times 60 and get 2880

What division problem does this model represent? 24

Answers

A division problem which this model represent include the following: 24 ÷ 8 = 3.

How to evaluate and solve the given expression?

In order to evaluate and solve this expression, we would have to apply the PEMDAS rule, where mathematical operations within the parenthesis (grouping symbols) are first of all evaluated, followed by exponent, and then multiplication or division from the left side of the equation to the right.

Lastly, the mathematical operations of addition or subtraction would be performed from left to right.

Note: Let the variable x represent each of the boxes.

Based on the model provided below, we have the following mathematical expression:

x + x + x = 24

3x = 24

x = 24/3

x = 8

Therefore, the division problem is given by;

24 ÷ 8 = 3.

Read more on expression here: brainly.com/question/16729936

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Complete Question:

What division problem does this model represent?

24÷8=3 24÷6=4 24÷4=6 24÷24=1 24÷3=8 24÷12=2

Help this is really hard

Answers

(2^8 *3^-5* 6^0)^-2 * ((3^-2)/(2^3))^4 * 2^28

anything to the 0 power is 1

(2^8 *3^-5* 1)^-2 * ((3^-2)/(2^3))^4 * 2^28

using the power of power property to take the power inside

(2^(8*-2) *3^(-5* -2) * (3^-2*4)/(2^3*4) * 2^28

simplify

2^ -16 * 3^10 * 3^-8 /2*12 * 2^28

get rid of the division by making the exponent negative

2^-16 * 3^10 * 3^-8 *2*-12 * 2^28

combine exponents with like bases

2^(-16-12+28) * 3^(10-8)

2^(0) *3^2

anything to the 0 power is 1

1*9

$(2^8\cdot3^(-5)\cdot6^0)^(-2)\cdot\left((3^(-2))/(2^3)\right)^4\cdot2^(28)\n\n\text{use}\n(a\cdot b)^n=a^n\cdot b^n\n(a^n)^m=a^(nm)\n\left((a)/(b)\right)^n=(a^n)/(b^n)\n a^0=1\ for\ a\neq0\n\n=(2^8)^(-2)\cdot(3^(-5))^(-2)\cdot1^(-2)\cdot((3^(-2))^4)/((2^3)^4)\cdot2^(28)=2^((8)(-2))\cdot3^((-5)(-2))\cdot1\cdot(3^((-2)(4)))/(2^((3)(4)))\cdot2^(28)$

$=2^(-16)\cdot3^(10)\cdot(3^(-8))/(2^(12))\cdot2^(28)=(2^(-16)\cdot2^(28))/(2^(12))\cdot3^(10)\cdot3^(-8)\n\n\text{use}\ a^n\cdot a^m=a^(nm)\n\n=(2^(-16+28))/(2^(12))\cdot3^(10+(-8))=(2^(12))/(2^(12))\cdot3^2=1\cdot3^2=3^2=9\n\nAnswer:\ \boxed{9}$

Fred wants to carpet his bedroom that measures 12 ft by 15 ft. The Carpet cost $25 per square yard. How much will it cost Fred to carpet his bedroom?

Answers

12 ft by 15 ft is 180 square feet. 180 square feet is 20 square yards. So take 20 multiplied by 25$ and thats how much money you have to spend to carpet Fred's room. so basically 500$

it cost about 100 bucks to but a carpet in Fred's bedroom because the measurements are 12ft by 15ft & the carpet cost 25 per square yard

When rolling a number cube with sides labeled 1 through 6, what is the probability of rolling a number greater than 2? Express your answer in simplest form.

Answers

you can take 6-2 and then get 4 then you will get 4/6 after simplify you will get 2/3

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