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Ivanshal [37]
3 years ago
12

The surface area of a sphere with a diameter of 12 units is:

Mathematics
1 answer:
svetlana [45]3 years ago
4 0

Answer:

Surface area of sphere = 4πr²

r = radius

radius = diameter /2

= 12/2

= 6units

Surface area = 4π×6²

= 144π

= 452.4 square units

Hope this helps.

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Show that there is no rational number whose square is 5<br><br>​
lozanna [386]

Answer:

Step-by-step explanation:

Take the square root of 5, which is 2.236, aka not a rational number. It doesn't come out to a whole number so therefore there is no rational solution

4 0
3 years ago
PLEASE HELP ASAP!
Mamont248 [21]

Answer:

(x-4)^2+(y+7)^2=43

Step-by-step explanation:

The standard equation of a circle is given by:

(x-h)^2+(y-k)^2=r^2

Where (<em>h, k</em>) is the center and <em>r</em> is the radius.

We are given that the center is (4, -7) and that the radius is √(43).

So, <em>h</em> = 4, <em>k</em> = -7, and <em>r</em> = √(43). Substitute:

(x-(4))^2+(y-(-7))^2=(\sqrt{43})^2

Simplify. Hence, our equation is:

(x-4)^2+(y+7)^2=43

7 0
3 years ago
What's 17 percente of 200?
Margaret [11]

Answer:

34

Step-by-step explanation:

17% of 100 is 17, so you can put that into a proportion, 17/100.  We need to find what the numerator will be if the denominator is 200. Since you multiply 100 by 2 to get to 200, you have to do the same to the top, and 17x2 is 34.

Therefore, the correct answer is 34.

Hope I helped!!!

4 0
3 years ago
Write an equation in standard form if the line that passes through (7,-3) and had a slope if 4​
zvonat [6]

bearing in mind that standard form for a linear equation means

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• only the constant on the right-hand-side

• all variables on the left-hand-side, sorted

• "x" must not have a negative coefficient

\bf (\stackrel{x_1}{7}~,~\stackrel{y_1}{-3})~\hspace{10em} \stackrel{slope}{m}\implies 4 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-3)}=\stackrel{m}{4}(x-\stackrel{x_1}{7})\implies y+3=4x-28 \\\\\\ y=4x-31\implies -4x+y=-31\implies 4x-y=31

8 0
3 years ago
A pet food company wants to know the number of pets owned by adults ages 21 to 70. The frequency table shows the data from a sim
Brut [27]
Thank you for posting your question here. I think the question is "
<span>What is the estimated mean for the population? Explain your answer and show your work."

Below is the solution. I hope it helps.

</span>µ= (1*248 +2*567 +3*1402 +4*728 +5*419 +6*456 +7*203)/(1 +2 +3 +4 +5 +6 +7) 
<span>=14752/28≈ 526.9</span>
6 0
3 years ago
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