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3 years ago

What is 243 written as a power of a number?

1 answer:

8 0

A to the power of b

a^b

a = base

b = exponent

SO

10^243 or 10 to the power of 243.

You can use other numbers also.

Hope i helped!!

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ASAP plz Also show ur work if u can

guajiro [1.7K]

All the answers are gotten using the lcm method
1.8/11
2.3/23
3.1/2
4.13/15
5.8/11
6.49/30
7.22/3
8.19/60

4 0

3 years ago

Solve the following triangle. Given A=51 degrees b=40 c=45

STALIN [3.7K]

Answer:

$a=36.87\ units$

$B=57.47^o$

$C=71.53^o$

Step-by-step explanation:

step 1

Find the length side a

Applying the law of cosines

$a^2=b^2+c^2-2(b)(c)cos(A)$

substitute the given values

$a^2=40^2+45^2-2(40)(45)cos(51^o)$

$a^2=1,359.4466$

$a=36.87\ units$

step 2

Find the measure of angle B

Applying the law of sines

$\frac{a}{sin(A)} =\frac{b}{sin(B)}$

substitute the given values

$\frac{36.87}{sin(51^o)} =\frac{40}{sin(B)}$

$sin(B)=\frac{sin(51^o)}{36.87}{40}$

$B=sin^{-1}(\frac{sin(51^o)}{36.87}{40})=57.47^o$

step 3

Find the measure of angle C

Remember that the sum of the interior angles in any triangle must be equal to 180 degrees

$A+B+C=180^o$

substitute the given values

$51^o+57.47^o+C=180^o$

$108.47^o+C=180^o$

$C=180^o-108.47^o=71.53^o$

5 0

4 years ago

Mary traveled 200 miles at an average rate of 50 miles per hour. how did it take her?

almond37 [142]

It took her 4 hours.

Since she travels 50 miles in just one hour, in four hours she could drive 200 miles. :)

6 0

3 years ago

Ariel deposited $100 into a bank account. Each friday she will withdraw 10% of the money in the account to spend. Ariel thinks h

dimulka [17.4K]

Answer: Yes, I agree. $10 will be withdrawn every Friday, resulting in the $100 she deposited being completely gone after 10 withdrawals.

Step-by-step explanation: You will want to find the amount of money being taken from the $100 withdrawal first. Turn the percent into a decimal, which should result to 0.10. Take this decimal and multiply it with 100 to get the amount of money being taken out of the account each week, which should be $10. I would go about answering this by multiplying the $10 by the amount of 10 withdrawals. This would result in 100. This answers the question because we are trying to see if 10 withdrawals will completely deplete the $100 in the account.

5 0

3 years ago

Adding (4-7i)+(-11+9i)

Fofino [41]

your answer is -7+16i, because 4-11=-7 and 7i+9i is 16i

5 0

3 years ago