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belka [17]
3 years ago
7

The diameter of the moon is about 3500 km. Approximate the surface area of the moon using the formula for the surface area of a

sphere, S = 4πr^2. Write your answer in scientific notation.
Mathematics
1 answer:
horrorfan [7]3 years ago
5 0

Answer:

3.8465 *10^7 square kilometers

Step-by-step explanation:

The surface area of a sphere can be found using the formula SA=4\pi r^2. Since the diameter is 3500 km then its radius is half of this. 3500 divided in two is 1,750 units. Substitute r=1,750.

SA=4\pi r^2\\SA = 4 \pi (1750)^2\\SA = 4 \pi *3,062,500\\SA =38,465,000

The surface area of the moon is about 38,465,000 square kilometers. Write this is scientific notation using base. 3.8465 *10^7

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Which similarity statements are true? Check all that apply. △JKL ~ △KML △JKM ~ △JKL △JKM ~ △KML △JMK ~ △JKL △JMK ~ △KML
Aliun [14]
The answer:

according to the image, the main theorem concerning right triangle similarity is as follow:
the altitude to the hypotenuse of a right triangle divides the triangle into two triangles that are similar to the original triangle and each other, 

in our case, KL is the altitude, and by applying theorem, we get three triangles that are similar:
therefore:
<span>△JKL ~ △JKM
</span><span>△JKM ~ △JKM
</span><span>△JMK ~ △KML</span>
5 0
3 years ago
Read 2 more answers
Matthew and Kobie both want to do a survey to determine how many people in their community might have the Corona 19 Virus. Which
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3 years ago
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AJKL and ALMN are shown.
seropon [69]

Answer:

mLNM=63

Step-by-step explanation:

triangle JKL is isocelese so mKJL and KLJ are the same

180-72=108

108/2=54

so both mKLJ and mMLN are equal

and since triangle LMN is an isoceles then mLNM and mLMN are equal to each other

so 180-54=126

126/2=63

mLNM=63

7 0
2 years ago
Please Help! The graph of y=f(x) is shown below. What are all of the real solutions of f(x)=0? (Picture of graph included)
qwelly [4]

Answer:

(7, 0), (-8, 0), (0, 0)

Step-by-step explanation:

y = f(x) = 0

the real solutions are the ones that cross the x-axis because when a point is on the x-axis, its y coordinate will be 0.

=> (7, 0), (-8, 0), (0, 0)

6 0
3 years ago
Help on this question please!!!
OLga [1]

Answer:

Hello! Here is your answer

Step-by-step explanation:

112=4(28)

a=4b

You can only have one variable so:

Combine b to a:

a-b=84

4b-b=84

Divide both sides by 3:

3b/3=84/3

b=28

But that is not it:

Sum of both cards:

a+b

a=112

b=28

112+28=140

          = 140

I hope I was of help.  If not please let me know! Thank you! Good luck!

4 0
3 years ago
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