Cone is radius of 9 inches and 6 inches height what is the exact volume of the cone

What is the simplified form of 5 square root x^4 • 5 square root x^4

laiz [17]

Answer: C

Step-by-step explanation:

You can write each term into a fraction.

$\sqrt[5]{x^4}$ becomes $x^4^/^5$

When you multiply 2 terms with the same base, you add the exponents.

$x^4^/^5*x^4^/^5=x^4^/^5^+^4^/^5=x^8^/^5$

$x^8^/^5$ is also the same as $x\sqrt[5]{x^3}$

You get this because $\sqrt[5]{x^8} =\sqrt[5]{x*x*x*x*x*x*x*x}$ . When you pull out 5 os x, you are left with x³ on the inside.

8 0

3 years ago

Julie and her brother go to Atlanta to ride the SkyView Ferris wheel. It measures 200 feet in diameter.

worty [1.4K]

Answer:

Part A) Circumference

Part B) $C=\pi D$

Part C) The distance traveled in one rotation is 628.32 feet

Step-by-step explanation:

Part A) we know that

The distance around the circle is equal to the circumference.

The Ferris Wheel have a circular shape

so

To find out the distance around the Ferris Wheel you should use the circumference

Part B) What is the formula needed to solve this problem?

we know that

The circumference is equal to multiply the number π by the diameter of the circle

so

$C=\pi D$

Part C) What is the distance traveled in one rotation?

we know that

One rotation subtends a central angle of 360 degrees

The distance traveled in one rotation is the same that the circumference of the Ferris wheel

we have

$D=200\ ft$ ----> diameter of the Ferris wheel

substitute in the formula of circumference

$C=\pi (200)\\C=200\pi\ ft$

assume

$\pi=3.1416$

$C=200(3.1416)=628.32\ ft$

therefore

The distance traveled in one rotation is 628.32 feet

3 0

3 years ago

360 kilometers is 24% of how many kilometers

Savatey [412]

Here
360 = 24%
360=24/100
360*100=24
36000/24=1500 so ur answer is 1500

6 0

3 years ago

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Factor out the coefficient of the variable term.

aivan3 [116]

Given:

The expression is

$\dfrac{1}{2}n-\dfrac{1}{2}$

To find:

The factored form of given expression after factor out the coefficient of the variable term.

Solution:

We have,

$\dfrac{1}{2}n-\dfrac{1}{2}$

Here, the coefficient of variable n is $\dfrac{1}{2}$ .

It can be written as

$=\dfrac{1}{2}\times n-\dfrac{1}{2}\times 1$

Taking out $\dfrac{1}{2}$ as common factor, we get

$=\dfrac{1}{2}(n-1)$

Therefore, the factored from of given expression is $\dfrac{1}{2}(n-1)$ .

6 0

3 years ago

Simplify tan squared times (1 + cot squared x)

KonstantinChe [14]

$\bf \textit{Pythagorean Identities} \\\\ sin^2(\theta)+cos^2(\theta)=1 \\\\ 1+cot^2(\theta)=csc^2(\theta) \\\\ 1+tan^2(\theta)=sec^2(\theta) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ tan^2(x)[1+cot^2(x)]\implies tan^2(x)[csc^2(x)]\implies \cfrac{\underline{sin^2(x)}}{cos^2(x)}\cdot \cfrac{1}{\underline{sin^2(x)}} \\\\\\ \cfrac{1}{cos^2(x)}\implies sec^2(x)$

8 0

3 years ago

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