First, lets convert them into multipliers:
The multiplier for a:
25% increase = 1.25
40% decrease = 0.6
40% increase = 1.4
Now to work out the overall percentage change, we just times all of the multipliers together, and convert it back to a percentage:
1.25 x 0.6 x 1.4 = 1.05
So the overall multiplier is 1.05
And a multiplier of 1.05 = a <u>5% increase</u>.
That means that the percentage change is + 5%
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Answer:
The percentage change in shares from the start of 2013 to the end of 2015 is:
+ 5%
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Note: if you haven't been taught multipliers - then ask and I'll try my best to explain!
Answer:
none
Step-by-step explanation:
We are given a triangle ABC with ∠A = 30°, sides a = 4 and b = 10.
According to the 'Law of Sines- Ambiguous Case', we have,
If a < b×sinA, then no triangle is possible.
If a = b×sinA, only one triangle is possible
If a > b×sinA, two triangles are possible.
So, we have,
b×sinA = 10 × sin30 = 10 × 0.5 = 5.
Now, as
4 = a < bsinA = 5.
We get, according to the rule, no triangle is possible.
Exterior angle = 180 - 144 = 36 degrees
Number of sides = 360 / 36 = 10 sides (answer)
Answer:
B) 6, 8, 10
Step-by-step explanation:
All right triangles will follow the following theorem (Pythagorean theorem):
, where 
and 
are two legs of the triangle and 
is the hypotenuse. Out of all answer choices, only B) 6, 8, 10 follow this theorem.
Lets round each distance to the nearest tens place, and then add them up to get an estimate. 143 rounds down to 140, 138 rounds up to 140, and 141 rounds down to 140. So: 140 + 140 + 140 = 420 miles
