Help on math? Thanks

Which is in an equation of the line through (0,0) and (-8,-5)?

Lina20 [59]

Step-by-step explanation:

Since the first coordinates are both (0,0) it implies that the line passes through the origin.

The slope of the line is therefore 5/8

The equation:

y-0=5/8(x-0)

y=5/8x

4 0

2 years ago

A cylinder fits inside a square prism as shown. For every cross section, the ratio of the area of the circle to the area of the

kolbaska11 [484]

Answer:

Volume of cylinder = $\pi r^2h$

Step-by-step explanation:

Given : A cylinder fits inside a square prism.

To find : The volume of cylinder

Solution : Refer the attached graph.

Area of circle = $\pi r^2$

Area of square = $s^2$

Side of square = diameter of circle= $D^2$

Diameter = 2r

∴ Area of square= $2r^2=4r^2$

$\frac{Area of circle}{Area of Square}=\frac{\pi r^2}{4r^2}=\frac{\pi}{4}$

Area of circle is $\frac{\pi }{4}$ of area of square.

Volume is always = area × height

Volume of prism = Area of square × h = $4r^2h$

Volume of cylinder = Area of circle × h = $\pi r^2h$

Now, rate

$\frac{Volume of cylinder}{Volume of prism}=\frac{\pi r^2h}{4r^2h}=\frac{\pi}{4}$

⇒Volume of cylinder is $\frac{\pi }{4}$ of Volume of prism.

Volume of Cylinder = $\frac{\pi }{4}\times Volume of prism$

Volume of cylinder = $\frac{\pi }{4}\times 4r^2h$

Volume of cylinder = $\pi r^2h$

6 0

3 years ago

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Brooke collects porcelain dolls and teddy bears. Over the years, the number of porcelain dolls she collected is 14 less than twi

Colt1911 [192]

Teddy =X
Dolls= 2x-14

2x-14+X=52
3X-14=52
Add 14
3X=66
Divide by 3
X= 22

Teddy are 22
Dolls 2(22)-14=30

5 0

3 years ago

What is the mean absolute deviation of the data set?

neonofarm [45]

Answer:

B. 2

To find MAD, find the mean of the set, then find how far each number is from the mean. Next, find the mean of THAT set of numbers. Yea, I know it's a bit confusing... don't worry!

Find the mean of the set:

12 + 10 + 10 + 8 + 6 + 7 + 7 + 12

72

72 / 8

9

Find how far each number is from 9:

12 - 9 = 3

10 - 9 = 1

9 - 8 = 1

9 - 6 = 3

9 - 7 = 2

12 - 9 = 3

Find the mean of that number set:

{3, 1, 1, 1, 3, 2, 2, 3}

3 + 1 + 1 + 1 + 3 + 2 + 2 + 3

16

16 / 8

2

So the answer is 2!

Not so hard after all :D

7 0

3 years ago

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Binaya spent 10 of his pocket money. He has Rs 120 left now. Find:

kozerog [31]

Answer:

$10 and $130

Step-by-step explanation:

If he spent 10 of his pocket money, then he spent 10

Because he spent 10, that means that he had 120 + 10 = 130 at the start

6 0

3 years ago