Step-by-step explanation:
Using that fact that,
and
We need to find sin which that formua is
We know what r and x is so we need to find y.
Sin is positve on the interval pi/2 to pi. so we get
b.
so
c.
d.
e.
Answer:
B
Step-by-step explanation:
bc it looks like they're adding a new side for each picture
Answer:
at least 123 feet
Step-by-step explanation:
Using the given formula, we have ...
A = bh
3800 = b(b/4) . . . . substituting the given information
15200 = b^2
b = √15200 ≈ 123
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The base of a parallelogram is not necessarily the longest side, regardless of height. Since the base is 123 feet, we can only say that the longest side is no shorter than 123 feet.
Let's say the item starts off at $100.
A 55% decrease means 100%-55% = 45% of the value is still there. The item is now worth 0.45*100 = 45 dollars.
Now increase this by 25%. The long way to do this is to add 25% of 45 onto 45
(25% of 45) + (45) = 0.25*45+45 = 11.25+45 = 56.25
Or, we can multiply 45 by 1.25 since the multiplier 1.25 represents a 25% increase
1.25*45 = 56.25
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The item was $100, it drops to $45 after the 55% decrease, then it is $56.25 after the 25% increase.
Let's compute the percent difference
A = 100 = old value
B = 56.25 = new value
C = percent difference
C = 100*(B-A)/A
C = 100*(56.25-100)/100
C = -43.75%
The negative C value indicates a percent decrease.
So combining a 55% decrease and a 25% increase leads to an overall decrease of 43.75%
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A shortcut is to multiply 0.45 and 1.25 to get 0.5625
Then subtract this from 1 to get 1-0.5625 = 0.4375
This is another way to see we have a 43.75% decrease.