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3 years ago

Find the volume. Thanks!!!

Mathematics

1 answer:

pshichka [43]3 years ago

5 0

Answer:

Step-by-step explanation:

slant height is given. Using Pythagorean theorem to find height.

h² = 10² - 5²

= 100 - 25

h² = 75

h = √75

h = 8.66 cm

Volume =(1/3)πr²h

$=\frac{1}{3}*3.14*5*5*8.66\\\\=\frac{679.83}{3}\\\\$

= 226.62 cubic cm

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The equation of the hyperbola with center at (0, 0) opening horizontally, with a = 2, b = 5 is:

tresset_1 [31]

Answer:

$\frac{x^2}{4}-\frac{y^2}{25} =1$

Step-by-step explanation:

we are given

center =(0,0)

we can compare with

center=(h,k)=(0,0)

so, h=0 and k=0

a=2 and b=5

now, we can use equation of hyperbola formula

$\frac{(x-h)^2}{a^2}-\frac{(y-k)^2}{b^2} =1$

now, we can plug values

$\frac{(x-0)^2}{2^2}-\frac{(y-0)^2}{5^2} =1$

we can simplify it

and we get equation of hyperbola as

$\frac{x^2}{4}-\frac{y^2}{25} =1$

5 0

3 years ago

PLEASE HELP!!!!!! the sum of a number times 10 and 15 is at most -17

Brilliant_brown [7]

Let the number = x

Writing the equation you have:

10x + 15 <= -17

Solve for x

Subtract 15 from both sides:

10x <= -32

Divide both sides by 10:

X <= -32/10

Simplify:

X <= -16/5 as a fraction or -3.2 as a decimal

3 0

4 years ago

I need to know how to do it aswell

4vir4ik [10]

Answer:

x= 3

Step-by-step explanation:

x on triangle 1 is 5 times less than 15

x on triangle 2 is 3 times bigger than 10

Hope this helps!

6 0

3 years ago

Read 2 more answers

Write the expression below in standard form 3h-2(1+4h)

Slav-nsk [51]

Answer:

Using the formula, write in standard form.

−

Step-by-step explanation:

6 0

3 years ago

Mathew basketball team won 68% of the games they played if they won 17 games how many did they play

STALIN [3.7K]

Answer:

Step-by-step explanation:

turn 68% into a decimal (or keep as a percentage, your choice) and divide

17 divided by 0.68 (68% as a decimal) = 25

6 0

3 years ago