9514 1404 393
Answer:
1 1/4
Step-by-step explanation:
You know that 8/8 = 1.
Removing a common factor of 2 from numerator and denominator of 2/8 reduces the fraction to lowest terms: 1/4
Your mixed number is 1 1/4.
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Let n be the number of months that the cost of the memberships fee be the same. Such that for Power plus, the cost would be
23 + 34.65n
For Heavy Hulk, after cooking the new members fee will have a total cost of,
19 + 34.90n
Equating the two,
23 + 34.65n = 19 + 34.90n
The value of n from the equation above is 16. Thus, after 16 months the membership costs will be the same.
Answers:
- side AT = 36.122997 (approximate)
- side TR = 14.692547 (approximate)
- angle T = 66 degrees
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Explanation:
We'll use the cosine ratio to find side AT
cos(angle) = adjacent/hypotenuse
cos(A) = AR/AT
cos(24) = 33/AT
AT*cos(24) = 33
AT = 33/cos(24)
AT = 36.1229971906996
AT = 36.122997 approximately
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We could use the sine or tangent ratio to find side TR, but let's use the pythagorean theorem instead.
a^2 + b^2 = c^2
(AR)^2 + (TR)^2 = (AT)^2
33^2 + (TR)^2 = (36.1229971906996)^2
1089 + (TR)^2 = 1304.8709260393
(TR)^2 = 1304.8709260393 - 1089
(TR)^2 = 215.8709260393
TR = sqrt(215.8709260393)
TR = 14.6925466151821
TR = 14.692547 also approximate
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We could use any of the trig ratios of sine, cosine, or tangent to solve for angle T.
However, it's easiest to take advantage of the fact that angles A and T are complementary.
So,
A+T = 90
T = 90-A
T = 90-24
T = 66 degrees
This value is exact.
