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3 years ago

What is the volume of the cone if the area of the base 75 cm squared and the height is 6 cm?

Mathematics

1 answer:

Angelina_Jolie [31]3 years ago

3 0

Answer:

150

Step-by-step explanation:

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Korvikt [17]

C is your correct answer

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3 years ago

Fill in the blank. (x+a) (x+b) = (___) (___)

Inga [223]

Answer:

(x+a) (x+b)=x(x+b)+a(x+b)=x²+bx+ax+ab=x²+x(a+b)+ab

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3 years ago

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Find the value of n, correct to 4 significant figures.

Law Incorporation [45]

Answer:

6.708

Step-by-step explanation:

Y varies directly as the square of x (Given)

$\implies y\:\alpha \:x^2$ ......(1)

Y varies inversely as the square root of z (Given)
$\implies y\:\alpha\: \frac{1}{\sqrt z}$ ......(2)

Combining (1) & (2), we find:

$y\:\alpha \:\frac{x^2}{\sqrt z}$

$\implies y=\frac{kx^2}{\sqrt z}$ (Where k is constant of proportionality).....(3)

Now, when y = 2, x = 3 and z = 4, we find the value of k i.e. constant.

$2=\frac{k(3)^2}{\sqrt 4}$

$\implies 2=\frac{k(9)}{2}$

$\implies k =\frac{4}{9}$

Plugging the value of k in (3), we find:

$y=\frac{4x^2}{9\sqrt z}$ ....(4)

Next, in equation (4), plug y = 5, x = n and z = 16 and obtain the value of n by solving it.

$5=\frac{4(n)^2}{9\sqrt {16}}$

$\implies 5=\frac{4(n)^2}{9(4)}$

$\implies 5=\frac{(n)^2}{9}$

$\implies 5(9)=(n)^2$

$\implies 45=(n)^2$

$\implies n=\sqrt{45}$

$\implies n=6.70820393$

$\implies n\approx 6.708$

7 0

2 years ago

1 1/3 x 5/8 A.3/4 B.4/5 C.5/6 D.5/8

Dmitriy789 [7]

The answer is 5/6, hope this helps

5 0

2 years ago

Read 2 more answers

Complete the equation of the line through (3, -8) and (6,-4). Use exact numbers.

Lina20 [59]

Answer:

y = 4/3x - 12

Step-by-step explanation:

To find the slope of the line, we do (y2 - y1) / (x2 - x1)

If we put in the values, we'll get

(-4 - -8) / (6 - 3)

Simplify and get

(-4 + 8) / 3

4 / 3

Your slope is now 4/3, so you can put it into your equation y = mx + b

y = 4/3x + b

To find b, we can plug in the values from one of your points. Lets use (3, -8)

-8 = 4/3 * 3 + b

Now solve the equation

-8 = 4 + b

-12 = b

Now that you have b, your equation is complete:

y = 4/3x - 12

4 0

3 years ago