MATHEMATICS HIGH SCHOOL

The circumference of a circle measures the distance around the circle.

True or False

Answers

Answer 1
Answer:

Answer:

True

Step-by-step explanation:
Answer 2
Answer:

Answer: True

Step-by-step explanation:

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the screen on brianna new phone is 2.85 centimeters long. what mixed number represents the length ofbthe phone screen

Answers

So,

The screen is 2.85cm long.
Literally "two ones and eighty-five hundredths".

Fraction: 2 85/100

Simplify
2 17/20

The screen is 2 17/20cm long.

The decimal d is formed by writing in succession all the positive integers in increasing order after the decimal point; that is, d = 0.123456789101112 . . . . What is the 100th digit of d to the right of the decimal point?

Answers

Answer:

2

Step-by-step explanation:

We are given that a decimal number  d

d=0.12345678...

Where d is formed by writing in succession all the positive integers in increasing order after decimal point.

We have to find the 100th digit of d to the right of the decimal point.

Place of first digit 1 after decimal=Tenth

Place of second digit 2 after decimal=Hundredth

Place of third digit  3 after decimal=Thousandth

Therefore, 100th digit of d to the right of the decimal point=2

A sequence is defined by the recursive formula f(n + 1) = 1.5f(n). Which sequence could be generated using the formula? –12, –18, –27, ... –20, 30, –45, ... –18, –16.5, –15, ... –16, –17.5, –19, ...

Answers

Formula f(n+1) = 1.5 f(n) => f(n+1) / f(n) = 1.5. That means, that you have to search for a sequence where the ratio of two consecutive terms is 1.5. The first sequence is the only one that meets that: - 18 / - 12 = 1.5 and - 27 / - 18 = 1.5. So, the answer is the first option: -12, -18, -27, ...

Answer: –12, –18, –27, ...  [ A.K.A: (A.) ]

Factor the algebraic expression below in terms of a single trigonometric function cos x - sin 2x - 1

Answers

cos x - sin² x - 1 = 
= cos x - ( cos² x - 1 ) - 1 =
= cos x - cos² x + 1 - 1 =
= cos x - cos² x =
= cos x · ( 1 - cos x ) 

Answer:

(cosx+2)(cosx-1)

Step-by-step explanation:

cos x - sin²x - 1

sin²x = 1- cos²x

plug in

cos x - (1- cos²x) - 1 = cos x - 1 + cos²x - 1 = cos²x + cos x - 2

factor cos²x + cos x - 2

(cosx+2)(cosx-1)

A cone has a volume of 12 cubic inches. What is the volume of a cylinder that the cone fits exactly inside of? a. 6 in3
b. 24 in3
c. 36 in3
d. 48 in3

Answers

To find the volume of a cylinder that the cone fits exactly inside, we can use the formula for the volume of a cone. By solving for the radius and height of the cone, we can then substitute those values into the formula for the volume of a cylinder to obtain the volume.The correct option is C.

To find the volume of a cylinder that the cone fits exactly inside, we need to understand the relationship between the cone and the cylinder. The volume of a cone can be found using the formula V = (1/3) * π * r^2 * h, where r is the radius and h is the height of the cone. The volume of the cylinder is equal to the volume of the cone, so the volume of the cylinder can also be calculated using the formula V = π * r^2 * h. In this case, the volume of the cone is given as 12 cubic inches. We can set up an equation to find the radius and height of the cone using this volume, and then use those values to find the volume of the cylinder.

Let's solve for the radius and height of the cone:

1.Start with the formula for the volume of a cone: V = (1/3) * π * r^2 * h

2.Substitute the given volume of the cone as 12 cubic inches: 12 = (1/3) * π * r^2 * h

3.Cancel out the 1/3 by multiplying both sides of the equation by 3: 36 = π * r^2 * h

4.Divide both sides of the equation by π to isolate r^2 * h: r^2 * h = 36/π

5.Since we don't have enough information to solve for both r and h, we will express the height h in terms of the radius r.

6.Substitute r^2 * h with 36/π: r^2 * (36/π) = 36/π

7.Simplify the equation by canceling out the π: r^2 * (36/π) = 36/π

8.Multiply both sides of the equation by π/36: r^2 = 1/π

9.Take the square root of both sides to find the radius r: r = 1/√π

10.Now that we have the radius, we can find the height using the equation r^2 * h = 36/π: (1/√π)^2 * h = 36/π

11.Simplify the equation: h = 36

So, the radius of the cone is 1/√π and the height is 36. Using these values, we can calculate the volume of the cylinder:

1. Start with the formula for the volume of a cylinder: V = π * r^2 * h

2. Substitute the values we found for the cone into the formula: V = π * (1/         √π)^2 * 36

3. Simplify the equation: V = 36 cubic inches

the volume of the cylinder that the cone fits exactly inside is 36 cubic inches.

Therefor the correct option is C.

Learn more about volume of a cone and cylinder here:

brainly.com/question/35498382

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Volume of a cone = 1/3 r² π h
Volume of a cylinder = r² π h = 3 · V ( cone ) = 3 · 12 = 36 in³
Answer: C )

What is the value of the expression |-20 + 5|?

Answers

I THINK IT'S 15. you do the addition first then do the absolute value 
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