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Jobisdone [24]
3 years ago
5

Please help me with this for 20 points

Mathematics
1 answer:
ludmilkaskok [199]3 years ago
7 0

Answer: The answers are in the photo.

Step-by-step explanation:

To solve question 4, you have to work backwards. Plug 40.82 as C in the formula C = D x 3.14. It would now look like: 40.82 = D x 3.14. Divide 40.82 by 3.14 and you would receive 13 as the diameter. However, we are searching for the radius. The radius is half of the diameter. 13 / 2 is 6.5

To solve question 5, you'll need to use the formula C = D x 3.14. So far, we know D is 6. 6 x 3.14 is 18.84. Yet, we need to find the cost. Each foot costs $12.50, so that's what we multiply to 18.84. In the end, the cost is $235.50.

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Prove the divisibility of the following numbers:
Brut [27]

Answer:

Step-by-step explanation:

To prove divisibility, we need to factor the divident such that one of its factors matches the divisor.

(I use the notation x|y to denote that x divides y)

(A)

75^{30}|45^{45}\cdot15^{15}\\45^{45}\cdot15^{15}=3^{45}\cdot 15^{45}\cdot 15^{15}=\\=3^{45}\cdot 15^{60}=3^{45}\cdot 15^{30}\cdot 15^{30}=3^{45}\cdot (3\cdot5)^{30}\cdot 15^{30}=\\=3^{45}\cdot 3^{30}\cdot(5\cdot 15)^{30}=3^{45}\cdot 3^{30}\cdot(75)^{30}\\\implies\\75^{30}|3^{45}\cdot 3^{30}\cdot75^{30}

(B)

72^{63}|24^{54}\cdot 54^{24}\cdot2^{10}\\24^{54}\cdot 54^{24}\cdot2^{10}=(2^{162}\cdot 3^{54})\cdot(2^{24}\cdot 3^{72}) \cdot 2^{10}\\=2^{196}\cdot 3^{126}

In this case, it is easier to also factor the divisor to primes:

72^{63}=2^{189}\cdot 3^{126}

Both of these factor must be matched in the dividend in order to prove divisibility, and that indeed turns out to be true:

2^{189}\cdot 3^{126}|2^{196}\cdot 3^{126}\implies\\2^{189}|2^{196}\,\,\mbox{and}\,\,3^{126}|3^{126}

6 0
3 years ago
All triangle angles have 60 degree angles. What are the side lengths?
Alex_Xolod [135]
If all the angles are 60 degrees, this is an equilateral triangle. This means that all the sides have the same lengths. Whatever length side a is, b and c have the same length. 

Hope this helps :)
3 0
3 years ago
Read 2 more answers
If the exponent is 3 and the base is 2 whats the simplified expression
Rom4ik [11]
If the base is 2 and the exponent is the the expression would look like this → 2³. In order to simplify it, you have to multiply the base number by the number of the exponent. 

2×2×2=8
Therefore, the simplified expression would be 8.

I hope this helped.
3 0
3 years ago
Read 2 more answers
( 3u + 7 )( 5 - u )= 0​
mixas84 [53]

Answer:

The answer is 484. Please let me know if it helped you.

Step-by-step explanation:

5 0
3 years ago
Every Sunday John goes to church from his home . He move 2 miles east. How much distance is between home and church
GREYUIT [131]

Answer:

2 miles

Step-by-step explanation:

Because I said so

8 0
3 years ago
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