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ryzh [129]
3 years ago
5

Determine the measure of angle A

Mathematics
1 answer:
igor_vitrenko [27]3 years ago
6 0

Answer:

63*

Step-by-step explanation:

The first thing you need to do is find the value of x. What I did for this was trial and error. I tried a number, and if it was too big, I tried a smaller one. If you add up all of the angles, it should equal up to 180*, so I kept on doing this until I added up to 180.

The answer I got was x=8, so I plugged this into the equation for A and solved. 9x8 is 72, and 72-9 is 63.

Therefore, 63 is the correct answer.

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What is the volume of a right circular cylinder with a diameter of 46.25 cm and a height of 18.5 cm?
alexdok [17]
Radius = <span> <span> <span> 23.125 </span> </span> </span> cm
Cylinder Volume =  <span>π <span>• r² • height
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Cylinder Volume =  3.14 * 23.125^2 * 18.5

Cylinder Volume =  <span> <span> <span> 31,064.53515625 </span> </span> </span>

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7 0
3 years ago
Anna has 7 baskets and some flowers. She has 5 fewer baskets than flowers. How many flowers does Anna have?
Nimfa-mama [501]

Answer: I’m not quite sure but I think it’s 12

Step-by-step explanation:

If she has 5 fewer baskets than flowers that means 5+7= the amount of flowers which is 12. I hope this helps

3 0
3 years ago
Read 2 more answers
Show that 3 · 4^n + 51 is divisible by 3 and 9 for all positive integers n.
-BARSIC- [3]

Answer:

Step-by-step explanation:

Hello, please consider the following.

3\cdot 4^n+51=3\cdot 4^n+3\cdot 17=3(4^n+17)

So this is divisible by 3.

Now, to prove that this is divisible by 9 = 3*3 we need to prove that

4^n+17 is divisible by 3. We will prove it by induction.

Step 1 - for n = 1

4+17=21= 3*7 this is true

Step 2 - we assume this is true for k so 4^k+17 is divisible by 3

and we check what happens for k+1

4^{k+1}+17=4\cdot 4^k+17=3\cdot 4^k + 4^k+17

3\cdot 4^k is divisible by 3 and

4^k+17 is divisible by 3, by induction hypothesis

So, the sum is divisible by 3.

Step 3 - Conclusion

We just prove that 4^n+17 is divisible by 3 for all positive integers n.

Thanks

4 0
3 years ago
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Kitty [74]
Exact Form: -245/12 , Decimal Form: -20.4166666, or Mixed Number Form: -20 5/12
4 0
3 years ago
A recipe requires 1/3 cup of milk for each 1/4 cup of water. How many cups of water are needed for each cup of milk?
Anna71 [15]

Answer:

3/4 cup of water per cup of milk

8 0
3 years ago
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