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aliya0001 [1]
3 years ago
8

What is the arc length if theta = 2pi / 3 and the radius is 4cm

Mathematics
1 answer:
omeli [17]3 years ago
3 0
Perimeter = 8*pie
So arc = (32*pie)/3
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Ms. Wilson invested ​$34000 in two​ accounts, one yielding 8​% interest and the other yielding 9​%. If she received a total of​
Digiron [165]

Answer:

Amount invested at 8 % rate = x = $ 15000

Amount invested at 9 % rate = 34000 - x = 34000 - 15000 = $ 19000

Step-by-step explanation:

Total Amount = $ 34000

Let amount invested at 8 % rate = x

Amount invested at 9 % rate = $ 34000 - x

Total interest = $ 2910

2910 = \frac{x (8) (1)}{100} + \frac{(34000-x) (9) (1)}{100}

291000 = 8 x + 306000 - 9 x

x = 306000 - 291000

x = 15000

So  amount invested at 8 % rate = x = $ 15000

Amount invested at 9 % rate = 34000 - x = 34000 - 15000 = $ 19000

3 0
3 years ago
Write √ 3 x √ 6 in the form b √2 where b is an integer.
tigry1 [53]

Answer:

Step-by-step explanation:

The catch here is to break up sqrt(6) into 2 parts that use primes to define sqrt(6)

sqrt(3)* sqrt(6)

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sqrt(3)*sqrt(2)(sqrt(3)

sqrt(3)*sqrt(3)*sqrt(2)

3*sqrt(2)

5 0
2 years ago
Pam kept track of the puppies available for adoption at the shelter. after 2 hours, there were 10 puppies available for adoption
nataly862011 [7]


the 5th hour there would be 4 puppies available for adoption

The 6th hour would have 2 puppies available for adoption

these answers are only correct if the ratio stays the same


7 0
3 years ago
0.00456 scientific notation
taurus [48]

Answer:

4.56 × 10^ − 3

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the  10 . If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

3 0
2 years ago
5(x+7)+2 = 4(x - 1) + 1
Nadya [2.5K]

Answer:

x = -40

Step-by-step explanation:

First we distribute

5x + 35 + 2 = 4x - 4 + 1

Collect like terms

5x + 37 = 4x - 3

Subtract 37 from both sides

5x = 4x - 40

Subtract 4x from both sides

1x = -40 OR x = -40

6 0
3 years ago
Read 2 more answers
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