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4 years ago

The diameter is a circle is 16in. Find it’s circumference in terms of π. C= ________in

1 answer:

7 0

According to the question,

Diameter of circle = 16 in

We are asked to calculate it’s circumference in terms of π.

★ Circumference of circle = 2πr

___________________________________

Let us first calculate the radius of the circle.

→ Diameter = 2 × Radius

→ 16 in = 2r

→ r = 16 in ÷ 2

→ r = 8 in

___________________________________

Substituting values in the formula of circumference,

→ C = 2πr

→ C = (2 × π × 8) in

→ C = 16π in

Therefore, 16π inches is the required answer.

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M is a directly proportional to r cubed when r=4 M=160

Paraphin [41]

Answer:

1) When r = 2, M = 20.

2) When M = 540, r = 6.

Step-by-step explanation:

M is a directly proportional to r cubed

This means that the equation for M has the following format:

$M = ar^3$

In which a is a multiplier.

When r=4 M=160.

We use this to find a. So

$M = ar^3$

$160 = a(4^3)$

$64a = 160$

$a = \frac{160}{64}$

$a = 2.5$

$M = 2.5r^3$

1) work out the value of M when r=2

$M = 2.5*2^3 = 2.5*8 = 20$

When r = 2, M = 20.

2) work out the value of r when M=540

$M = 2.5r^3$

$540 = 2.5r^3$

$r^3 = \frac{540}{2.5}$

$r^3 = 216$

$r = \sqrt[3]{216}$

$r = 6$

When M = 540, r = 6.

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3 years ago

CAN SOMEONE HELP ME PLEASE

Vadim26 [7]

In this equation the q is 12/17 and the r is 3/8 so if I am correct the answer is 9/34 hope this helps.

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3 years ago

3 +1 1/4= three plus one an one forth would be =

fomenos

Answer:

3+11/4 = 4.25

Step-by-step explanation:

hope that helps

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Alexandra [31]

Answer:

b is the right answer po TaMa Po yan

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3 years ago

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Given that f(x) = x2 − 4x − 3 and g(x) = the quantity of x plus three, over four, solve for f(g(x)) when x = 9.

eimsori [14]

Hello! To find the composition of functions we want to take all the x values in f(x) and replace them with g(x). Then to solve for a specific value, we plug in that value for x. Let's look at the steps below
$f(x)=x^{2} -4x-3$
$g(x)=\frac{x+3}{4}$

So we find
$f(g(x))=f(g(9))=(\frac{9+3}{4})^2 - 4(\frac{9+3}{4})-3$
$=3^2 - 4(3)-3$
$= 9-12-3=-6$
Now we want to find the solution when x is 9 so we plug in a 9 whenever we see an x

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3 years ago