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2 years ago

5

A cone is placed inside a cylinder as shown. The radius of the cone is half the radius of the cylinder. The height of the cone i

s equal to the radius of the cylinder. what is the volume of the cone in terms of the radius, r?
OA. V=1/3πr²h
OB. V=1/6πr²
OC. V=1/12πr³
OD. V=2πr³

1 answer:

vagabundo [1.1K]2 years ago

5 0

Answer:V=1/12pi-r^3

Step-by-step explanation:

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Solve y=-3x² + 4.5x – 20<br> Use the Quadratic formula

statuscvo [17]

Answer:

$x=0.75 \pm 2.47067i$

Step-by-step explanation:

Quadratic Formula: $x=\frac{-b \pm \sqrt{b^2-4ac} }{2a}$

√-1 is imaginary number i

Step 1: Define

y = -3x² + 4.5x - 20

a = -3

b = 4.5

c = -20

Step 2: Substitute and Evaluate

$x=\frac{-4.5 \pm \sqrt{4.5^2-4(-3)(-20)} }{2(-3)}$

$x=\frac{-4.5 \pm \sqrt{20.25-240} }{-6}$

$x=\frac{-4.5 \pm \sqrt{-219.75} }{-6}$

$x=\frac{-4.5 \pm \sqrt{219.75}(\sqrt{-1} ) }{-6}$

$x=\frac{-4.5 \pm i\sqrt{219.75} }{-6}$

$x=\frac{4.5 \pm i14.824 }{6}$

$x=0.75 \pm 2.47067i$

7 0

3 years ago

You saved $1,240 and your sister agrees to put it in a savings account at her credit union so you can earn interest. You earned

leva [86]

The amount after 2 years is $2,295.

Given that,

The invested amount is $1,240.
The rate of interest is 8%.
The number of years is 2 × 4 = 8

Based on the above information, the amount after 2 years is

Future value = Present value ×(1 + rate of interest)^number of years

= $1,240 × (1 + 0.08)^8

= $1,240 × 1.08^8

= $2,295

Therefore we can conclude that the amount after 2 years is $2,295.

Learn more: brainly.com/question/18051939

7 0

2 years ago

What is the slope of the line that passes through the points (-9, -8)((−15,−16)? Write your answer in simplest form.

alexandr402 [8]

Answer:

Therefore the slope of the line that passes through the points (-9, -8),(−15,−16) is

$Slope=\dfrac{4}{3}$

Step-by-step explanation:

Given:

Let,

point A( x₁ , y₁) ≡ ( -9 ,-8)

point B( x₂ , y₂ )≡ (-15 ,-16)

To Find:

Slope = ?

Solution:

Slope of Line Segment AB is given as

$Slope(AB)=\dfrac{y_{2}-y_{1} }{x_{2}-x_{1} }$

Substituting the values we get

$Slope(AB)=\dfrac{-16-(-8)}{-15-(-9)}\\\\Slope(AB)=\dfrac{-16+8}{-15+9}\\\\Slope(AB)=\dfrac{-8}{-6}=\dfrac{4}{3}$

Therefore the slope of the line that passes through the points (-9, -8),(−15,−16) is

$Slope(AB)=\dfrac{4}{3}$

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3 years ago

HELPPP PLSSSS ITS ALMOST DUE IN 1 HOUR WILL GIVE BRAINLIEST THANKS AND 5 STARSSS

Veseljchak [2.6K]

Answer:

2.5 + 3<em>h</em> = 13

Step-by-step explanation:

2.5 for the hotdog.

3 for each hamburger

3.5$ for each hamburger as h

Hope this Helps!

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3 years ago

the equation of a line is y-3x+10. the slope is changed to 3 and the y-intercept is changed to -4 what is the new equation of th

Ghella [55]

Y=3x-4
This affects the previous line because now the slope is a positive which completely turns it around. and the Y intercept is now on the opposite side of the X axis

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3 years ago