What is the area of a circle if the circumference is 30cm (express your answer in centimetres)

1 answer:

4 0

So before we can find the area, we first have to find the radius. We will do this by using the circumference formula, C = 2πr, to find the radius. Our equation will look like this: 30 = 2πr .

For this, all you need to do is divide both sides by 2π, and your answer will be 4.77 cm = r.

Now that we got the radius, we can solve for the area, which is A = πr^2.

A = π(4.77)^2

A = 22.7529π cm^2 or 71.48 cm^2

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Answer: To find the inverse of the function, we need to make x as a function of y and at the final step make a switch between x and y (i.e. make x as y and y as x)

y = x² + 4x + 4 ⇒⇒⇒ factor the quadratic equation

y = (x+2)(x+2)

y = (x+2)² ⇒⇒⇒ take the square root to both sides

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final step:

∴ y = √x - 2 ⇒⇒⇒ the inverse of the given function

So, as a conclusion:

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An ice cream shop sells 6 different flavors, 4 toppings, and 3 types of cones. How many different combinations of two different

Bas_tet [7]

Answer:

360 combinations

Step-by-step explanation:

To calculate the number of different combinations of 2 different flavors, 1 topping, and 1 cone, we are going to use the rule of multiplication as:

6 * 5 * 4 * 3 = 360

1st flavor 2nd flavor topping cone

Because first, we have 6 possible options for the flavor, then we only have 5 possible options for the 2nd flavor. Then, we have 4 options for the topping and finally, we have 3 options for the cone.

It means that there are 360 different combinations of two different flavors, one topping, and one cone are possible

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The equation is in y=mx+b form. M is the slope. In this equation, -1/2 is m.

Therefore the slope is -1/2.

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