Please help I’m stuck on this question

Mathematics

1 answer:

frez [133]3 years ago

6 0

Answer:

c is the answer for the question

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A circle has an area of 256 square inches. If the radius of

RSB [31]

Answer:

Option C (4096π in²)

Step-by-step explanation:

Area of the circle = 256π in²

We know that $Area=\pi r^{2}$ , where r = radius of the circle

So,

$256\pi = \pi r^{2}$

Cancelling π from both the sides,

$=> r^{2} = 256$

$=> r = \sqrt{256} = 16$

The radius of the circle = 16 in.

When the radius is multiplied with 4 , new radius = 16×4 = 64 in.

New Area = $\pi (64)^{2} =4096\pi \: in^{2}$

6 0

3 years ago

what formulas could be used to determine the surface area of a cylinder sandwiched between one cone and half of a sphere?

skelet666 [1.2K]

Answer: Rectangle around the cylinder, Lateral surface of the cone, Half a sphere

To find this surface area, you have 3 different parts. First, you need the rectangular portion of the cylinder, because the circles will be on the inside of the composite shape. Then, you will need the lateral side of the cone, that's everything but the circular base. Again, the circle will be on the interior. Finally, you should find the surface area of half of the sphere.

4 0

3 years ago

Given a polynomial f(x), if (x − 4) is a factor, what else must be true?

ollegr [7]

Answer:

$f(4)=0$

Step-by-step explanation:

The Remainder Theorem states that when you divide a polynomial $f(x)$ by a linear factor $(x-a)$ , where $a$ is a constant, the remainder is $f(x)$ evaluated at $x=a$

Moreover, according to the Factor Theorem, an extension of the Remainder Theorem, if the remainder of the function $f(x)$ is 0 when evaluated at $x=a$ , then $(x-a)$ is said to be a factor of the polynomial $f(x)$

Given the 2 theorems above, it follows that if $(x-4)$ is a factor of $f(x)$ , then the remainder is equal to 0 when $f(x)$ is evaluated at $x=4$