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2 years ago

Instructions: Find the circumference of the circle and round to the nearest tenth.

Mathematics

1 answer:

FinnZ [79.3K]2 years ago

6 0

Answer:

8 pi yd.

Step-by-step explanation:

The circumference of a circle can be calculated as follows:

c = $2 \cdot \pi \cdot r$

Where r is the radius of the circumference.

So in our case:

c = $2 \cdot \pi \cdot 4yd = 8\cdot \pi$ yd.

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Simplify by expressing fractional exponents instead of radicals

igomit [66]

Answer:

$a^{\frac{1}{2}}b^{\frac{1}{2}}$

Step-by-step explanation:

Given:

The expression in radical form is given as:

$\sqrt{ab}$

We need to express this in fractional exponent form.

We know that,

$\sqrt a=a^{\frac{1}{2}}$

Also, $\sqrt{ab}=\sqrt a\times \sqrt b$

Now, clubbing both the properties of square root function, we can rewrite the given expression as:

$\sqrt{ab}=\sqrt a \times \sqrt b\\\\\sqrt{ab}=a^{\frac{1}{2}}\times b^{\frac{1}{2}}\\\\\therefore \sqrt{ab}=a^{\frac{1}{2}}b^{\frac{1}{2}}$

So, the given expression in fractional exponents form is $a^{\frac{1}{2}}b^{\frac{1}{2}}$ .

3 0

3 years ago

Last one!! I need the steps please! Will mark brainliest!

hoa [83]

Answer:

$h(t)=-6(t-2)^2+24$

Step-by-step explanation:

Given function:

$h(t)=-6t^2+24t$

where:

h = height (in feet)
t = times (in seconds)

Rewrite in the form $h(t)=a(t-h)^2+k$

The quickest way to do this is to expand $h(t)=a(t-h)^2+k$ and compare coefficients with the original function.

$\begin{aligned}h(t)& =a(t-h)^2+k\\ & = at^2-2aht+ah^2+k\end{aligned}$

Comparing coefficients with $h(t)=-6t^2+24t$

$\begin{aligned}\implies at^2& =-6t^2\\ a &=-6\end{aligned}$

$\begin{aligned}\implies -2aht & =24t\\ -2(-6)ht& =24t\\ 12ht & = 24t\\ 12h & = 24\\ h & = 2\end{aligned}$

$\begin{aligned}\implies ah^2+k & = 0\\(-6)(2)^2+k &=0\\ -24+k & =0\\ k &=24 \end{aligned}$

Therefore, substituting the found values into the equation:

$h(t)=-6(t-2)^2+24$

6 0

2 years ago

Simplify: |x+3| , if x>2

Burka [1]

Answer:

I believe it would be 0 and up

Step-by-step explanation:

|x + 3|

|3 + 3|

3 - 3 = 0

and X can be any number higher than two so it would go up by one each time. 0,1,2,3 etc..

4 0

3 years ago

Use the distributive property to create an equivalent expression to 40+4x.

guapka [62]

4(10+x) 4(10) +4(x) 40+4x

3 0

2 years ago

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A prime number only has two factors - the number itself and 1. 6th grade math

Natalija [7]

Answer:

yes that is true.... ......

3 0

3 years ago

Read 2 more answers