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2 years ago

Line segment AB has endpoints A (-4, 4) and B (2, 4). What is the length of line segment AB?

Mathematics

1 answer:

sineoko [7]2 years ago

8 0

Step-by-step explanation:

the distance is sqrt ( (-6)^2 + (-12)^2) = sqrt( 36 + 144) = sqrt( 180) = sqrt(36*5) = 6 * sqrt(5)

2/(2+4) = 2/6 = 1/3

-2 + (1/3)*6*sqrt(5) = -2 + 2* sqrt(5)

6 + (1/3)*6*sqrt(5) = 6 + 2* sqrt(5)

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A cone has a volume of 5 cubic inches. What is the volume of a cylinder that the cone fits exactly inside of?

DENIUS [597]

The answer is 15 in³.

The volume of the cone is:
$V_1= \pi r_1 ^{2} \frac{h_1}{3} = \frac{ \pi r_1^{2} h_1}{3}$
where:
V₁ - the volume of the cone
r₁ - the radius of the cone
h₁ - the height of the cone

The volume of the cylinder is:
$V_2= \pi r_2h_2^{2}$
where:
V₂ - the volume of the cone
r₂ - the radius of the cone
h₂ - the height of the cone

Since the cone fits exactly inside of the cylinder, they have the same radius and the height:
r₁ = r₂
h₁ = h₂

Also:
V₁ = 5

Now, let's write two volume formulas together:
$V_1= \frac{ \pi r^{2} h}{3}$
 $V_2= \pi rh^{2}$ 

We can include V₂ into V₁:
$V_1= \frac{V_2}{3}$

⇒ $V_2=3*V_1$
$V_2=3*5 in^{3}$
$V_2=15 in^{3}$

5 0

3 years ago

Item 2 Write a linear function f with the values f(6)=8 and f(9)=3.

tensa zangetsu [6.8K]

See answer in header....

Mr B

4 0

3 years ago

Samantha soends 45 minutes at the gym for 6 days a week. how many hours does she spend at the gym

Alexxx [7]

45 minutes * 6 days = 270 minutes at the gum

but we need to change minutes to hours

1 hours = 60 minutes

270 minutes * 1 hr/60 minutes =

270/60 hours

divide top and bottom by 10

27/6

divide top and bottom by 3

9/2

4.5 hours

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2 years ago

Rob notices that 55 percent of the people leaving the supermarket chhose plastic bags instead of paper bags. out of 600 people,

Bumek [7]

To solve this answer, you are trying to find 55% of 600, because that is the number of people who chose plastic bag.

55% can be re-written as 55/100 OR 0.55 since percentages are always out of 100.

So, we do 0.55*600, which gives us 330. 330 people carry plastic bags.

5 0

3 years ago

Find the point of intersection y=-3x-3 y=-3

Alla [95]

The answer would be -3

5 0

2 years ago