Answer:
x=-2
Step-by-step explanation:
(2/3)^x-1=27/8
Rewriting the right hand side
(2/3)^x-1=(3/2)^3
We know that a^-b = 1/a^b Hint: { 1/(3/2) = 2/3}
(2/3)^x-1=(2/3) ^-3
The bases are the same, so the exponents are the same
x-1 = -3
x -1+1 = -3+1
x = -2
10:20 and 15:30. Hope that helped!
Answer:
56.27 in
Step-by-step explanation:
You can determine the length of the missing side IH by using sine law.
In the form of a/sinA = b/sinB = c/sinC, you can substitute an angle and its corresponding side, which in this case is angle I and side i, and do so with the other angle, which is angle X and side x.
<u> 74 </u> = <u> IH </u>
sin97 sin49
after this, multiply both sides by sin49 to isolate side IH -
(sin49) x <u> 74 </u> = IH
sin97
now plug all the numbers into a calculator and you will get the answer, 56.26792; when rounded, it should be 56.27 in.
Answer:
Step-by-step explanation:
side of square=10+10+20=40 m
area of square=40×40=1600 m²
area of small square=π10²=100 π m²
area of bigger semi circle=1/2 ×π×20²=200 π m²
reqd. area of shaded region=1600-(100π+200π)=1600-300π m²
≈1600-300×3.14
≈1600-942
≈658 m²
Answer:
If they want you to use pi as 3.14 then the answer is 153.86
If they just use pi the answer is 153.94
Step-by-step explanation:
A =
14/2 = 7
A =
A = 49
A = 153.94