In the right triangle, the longest side is the hypotenuse.
Let α be the angle opposite to the side with a length of 12 units, <span>then according to the Law of sines:
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In a triangle, the three interior angles always add to 180° ⇒
third angle = 180 - 90 - 67 = 23°
Answer:
67° and 23° (to the nearest degree).
As y varies directly with x, there is a proportionality constant. As x increases by that certain constant, y also increases. We equate:
y = kx
where k = proportionality constant.
Given the condition, y = 5 when x = 4, then we solve for k:
5 = k(4)
k = 5/4 or 1.25
When y = 8, then
8 = (5/4)(x)
x = 8/(5/4) = (8)(4/5) = 32/5 or 6.4 (ANSWER)
The first number will be 500
the second number will be 600
and the last number will be 990
He served 2/8 of the apple pie. And he served 2 more slices of the blueberry pie than the apple pie
Answer:
Sylvia's investment would double first
Step-by-step explanation:
The number of years it takes for amount invested to double itself using the 72 rule is 72 divided by rate of interest as computed below:
Sylvia investment:
Sylvia's investment would double in 9 years' time (72/8)
Manuel's investment"
Manuel investment of $600 would double itself in 9.9 years' time (72/7.25)
From the above analysis,Sylvia's investment of $500 at the 8% rate of interest would double first