1300 = 1000 (1.08)^t
1.3 = (1.08)^t
log base 1.08 (1.3) = t
3.41 = t
Answer: 13.96 in²
<u>Step-by-step explanation:</u>
d = 2r
16 = 2r
8 = r

180(θ) = 25(π)
θ =
θ = 
A =
r² θ
= 
= 
= 13.96
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Answer: 12π
<u>Step-by-step explanation:</u>
s = rθ
= 60
= 12π
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Answer: 22.440 cm²
<u>Step-by-step explanation:</u>
A =
r²θ
=
(10)²
= 
= 22.440
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Answer: 270°, 630°, -450°, -810°
<u>Step-by-step explanation:</u>
positive: -90 + 360 = 270
270 + 360 = 630
negative: -90 - 360 = -450
-450 - 360 = -810
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Answer: 
<u>Step-by-step explanation:</u>

= 
= 

= 
= 
If you subtract another 2π, you will end up with a negative value. The question asks for the smallest positive value.
First find the slope between the 2 points
0--2/4--4
=2/8
=1/4
Then y=1/4 x+b
Now substitute one pair of x and y into the equation
0=1/4*4+b
b=-1
So y=1/4x-1
Done!
Answer: 33.33%
Step-by-step explanation:
Answer:
a) 4.5 inches
b) 2√5 is irrational
Step-by-step explanation:
It was given that the edge length of a cube-shaped box is 2√5 inches long.
To estimate the length of the edge to the nearest tenth of an inch, we change √5 to decimals to obtain:



When we round to the nearest tenth, we obtain 4.5
We cannot find its exact value because √5 is an irrational number.
The product of a rational and an irrational number is irrational.