1. Explain how the volume of a right cone relates to the volume of a cylinder with the same base and height.

Answer:

5

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Recall that from the Exterior Angle Theorem, the exterior angle is equal to the sum of the two interior angles opposite from the exterior angle.

In other words:

[tex]\displaystyle m\angle QPT = m\angle HQP + m\angle PHQ[/tex]

We are given the expressions of each angle. Substitute:

[tex](6x+20)^\circ = (x+40)^\circ + (4x-5)^\circ[/tex]

Solve for x:

[tex]\displaystyle \begin{aligned} 6x + 20 & = (x+40) + (4x-5) \\ \\ 6x + 20 & = 5x + 35 \\ \\ x & = 15 \end{aligned}[/tex]

Hence, the value of x is 15.

Then the measure of ∠QPT will be:

[tex]\displaystyle\begin{aligned} m\angle QPT & = (6x+20)^\circ \\ \\ & = (6(15)+20)^\circ \\ \\ & = (90 +20)^\circ \\ \\ & = 110^\circ\end{aligned}[/tex]

In conclusion, our answer is A.

Answer:

slope of line 1

m = (-8 - 2) / (2 + 2)

m = -10/4 = -5/2

slope of line 2

m = (6 + 1) /(5 - 0)

m = 7/5

slope of line 3

m = (-2 + 7) /(2 - 4)

m = 5/ -2

m = -5/2

Line 1 and Line 2 are neither.

Line 1 and Line 3 are parallel since they have same slope.

Line 2 and Line 3 are neither.

Answer:

20

Step-by-step explanation:

($8.25 x 5 hours) + 10x <= 175

41.25 + 10x <= 175

x =4  that is 4 weeks

so multiple 5 hours by 4 to get 20 hours

that way she is earning 175 per week

Answer:

c) 82

Step-by-step explanation:

It's 82 degrees because of the opposite interior angle theorem, which means that those two angles are the same, as well as any pair of opposite interior angles.

Answer: 36

Step-by-step explanation:

8-2+30

6+30

36

Answer:

C

Step-by-step explanation:

did da test

Answer:-3/4

Step-by-step explanation:

flip and switch the sign

Answer:

Perpendicular Slope: -3/4

Step-by-step explanation:

The perpendicular slope of a line is the opposite reciprocal.

Answer:

Step-by-step explanation:

STEPS USING FACTORING

a  

2

−13a+42=0

To solve the equation, factor a  

2

−13a+42 using formula a  

2

+(a+b)a+ab=(a+a)(a+b). To find a and b, set up a system to be solved.

a+b=−13

ab=42

Since ab is positive, a and b have the same sign. Since a+b is negative, a and b are both negative. List all such integer pairs that give product 42.

−1,−42

−2,−21

−3,−14

−6,−7

Calculate the sum for each pair.

−1−42=−43

−2−21=−23

−3−14=−17

−6−7=−13

The solution is the pair that gives sum −13.

a=−7

b=−6

Rewrite factored expression (a+a)(a+b) using the obtained values.

(a−7)(a−6)

To find equation solutions, solve a−7=0 and a−6=0.

a=7

a=6

Answer:

-1/2

Step-by-step explanation:

It is negative since the slope is declining, meaning that it is a negative slope!

It is 1/2 because we go down one and move 2 to the right, meaning that we get 1/2 and then for the negative slope get -1/2

Consider marking this as brainliest it really helps!

Answer:

5x + 4y - 20 = 0

Step-by-step explanation:

1. Find the two points given: (0,5) and (4,0)

2. Find the slope of the line:

      m = [tex]\frac{5-0}{0-4} = \frac{-5}{4}[/tex]

3. Find y intercept by plugging in one point into the y-intercept form

      y = (-5/4) x + b

      0 = (-5/4) (4) + b

      b = 5

4. Write out the equation in y-intercept form

      y = (-5/4) x + 5

5. Rewrite it in Ax + By + C = 0 form

        (5/4) x + y - 5 = 0

6. Since A B C all need to be integers, multiply the whole equation by 4

       5x + 4y - 20 = 0

Answer:

b. 180°

Step-by-step explanation:

Supplementary angles are angles that add up to 180°

Examples are 90° and 90°, 45°, and 135°, and 60° and 120°

-Chetan K

Answer:

I think you copied this. there are alot od commas

Step-by-step explanation:

Answer:

The ratio to has a unit rate of .

The ratio , , , to , , , has a unit rate of , , , .

Step-by-step explanation:

Answer:

no its not 50 points lier

Step-by-step explanation:

30 28 8 21 15

Answer:

1/8  

Step-by-step explanation:

BOOM!

Answer:

1/8

Step-by-step explanation:

broken down into fractions 1/8 is the simplest answer

Answer:

B

Step-by-step explanation:

First take 12.52 and subtract 11.54 to find the amount it had decreased. (.98)

After that, divide it by 4 (because it increased by .98 over 4 years) and you get .245 a year.

and sense your starting value was 11.54 the +11.54 also checks out

Gage Millar, algebra 2 tutor.

The function modeling the given situation of retail price of electricity in cents per kilowatt hour, x years after 2010 is: Option C. [tex]f(x) = 0.245x + 11.54[/tex] (in cents/kilowatt hour)

You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.

Since the problem asks us to find the cost of electricity x years after 2010, thus, the increasing rate will add up itself x times and this addition will then be added to the price which is getting increased, which is 2010's price.

(since 2011's price = price of 2010 + constant increment,

2012's price = price of 2010 + twice of constant increment, and so on for further years)

Thus, f(x) = increment per year times x + price in 2010

Now assuming that increment in price per year is constant, we see:

Increment per year in electricity price= (price in 2014 - price in 2010)/4

Increment per year in electricity price = (0.98)/4 = 0.245 cents per year

Thus, we get:

[tex]f(x) = 0.245x + 11.54[/tex] as the price of the electricity in cents per kilowatt hour after x years from 2010.

Learn more about forming equations here:

https://brainly.com/question/11938672

Answer:

h

Step-by-step explanation:

b

Answer:

Samantha would have to watch 4 Movies so x=4

Step-by-step explanation:

Answer:

x=74º

y=65º

Step-by-step explanation:

53+53+x=180    >     106+x=180     >   x=74

50+2y=180        >    2y=130            >    y=65

Answer:

(3n+4)/4 = n-3

Step-by-step explanation:

n = original number

n = 16

The algebraic inequality will be (3x + 4) / 4 > 3. Then the value of x will be greater than 8/3.

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

I think of a number.

Let the number be 'x'.

Then I multiply it by 3. Then the expression will be

⇒ 3x

Then I add 4. Then the expression will be

⇒ 3x + 4

Then I divide the answer by 4. Then the expression will be

⇒ (3x + 4) / 4

My final answer is 3 less than the number I thought of at the beginning. Then we have

(3x + 4) / 4 > 3

Simplify the equation, then the value x will be

(3x + 4) / 4 > 3

3x + 4 > 12

3x > 8

x > 8/3

The algebraic inequality will be (3x + 4) / 4 > 3. Then the value of x will be greater than 8/3.

More about the inequality link is given below.

https://brainly.com/question/19491153

#SPJ2

Answer:

[tex]{f}^{ - 1} (x) = \frac{3x}{2(1 + 2x)} + \frac{1}{2(1 + 2x)} [/tex]

I hope I helped you^_^

Answer:

I think the way they are telling is that the triangle will move to the third quadrant,

If so, then the coordinates of P'Q'R' will just be the negative of PQR.