Answer:
p=1, q=5. (1, 5).
Step-by-step explanation:
8p+7q=43
2-7=-q
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-q=-5
q=5
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8p+7(5)=43
8p+35=43
8p=43-35
8p=8
p=8/8=1
Answer: approximately 12.17 units
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Work Shown:
We'll use the tangent ratio to find r
tan(angle) = opposite/adjacent
tan(49) = 14/r
r*tan(49) = 14
r = 14/tan(49)
r = 12.1700143294271
r = 12.17
The radius is approximately 12.17 units long.
Its impossible to draw a trapezoid with just three right angles.
a trapezoid has 4 sides, which means all the angles inside the trapezoid must add up to 360 degrees.
if you have just 3 right angles (90x3), you already use up 270 degrees. Leaving you with just 90 degrees left, which is also a right angle. That means, there has to be four, if you have at least 3.
Answer:
$522.99
Step-by-step explanation:
Fv = total amount plus interest over the given period of time
P = Principal amount deposited i.e $500
r = interest given 1.5% i.e 0.015
n = period of time the principal remains deposited. In this case annually i.e 12 months
FV = $522.99
Remark
Let the pigs = p
Let the chickens = c
Givens
30 heads is another way of saying that there were 30 creatures in the barnyard. In addition each chicken has 2 legs and each pig has 4
c + p = 30
2C + 4P = 100 (2) Divide (2) by 2
C + 2P = 50 (3) Subtract (1) from (3)
<u>C + P = 30</u>
P = 20
So there were 20 pigs.
