Answer: The exact length of segment HC is sqrt(3) units
The approximate length is roughly 1.73205080756888 (round that however you need to)
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Work Shown:
Let x = length of HC
Since AH = 3*HC, this means AH = 3*x
Draw out the picture. This step is optional but helpful in my opinion. The drawing is attached below.
After adding in the altitude BH, we have three similar triangles. So we can form the proportion shown below to solve for x
HC/BH = BH/AH
HC/3 = 3/AH ... replace BH with 3
x/3 = 3/AH ... replace HC with x
x/3 = 3/(3x) ... replace AH with 3x
x/3 = 1/x ... reduce
x*x = 3*1 ... cross multiply
x^2 = 3
x = sqrt(3) ... which is shorthand for "square root"
HC = sqrt(3)
HC = 1.73205080756888 which is approximate
Answer:
Yes. Juan will break even because 16 and -16 are a zero pair. -16 is the additive inverse of 16. So the sum will be 0.
Answer:
D
Step-by-step explanation:
they will sue for the rest of the money, because they are entitled to it if you are the cause of an accident.
Answer: a) 278382 oz
b) 43 oz
c) 64.1 oz
Step-by-step explanation:
a) 8 T. 1,398 lb. 14 oz. × 6
First we need to change it in 'oz'.
As we know that
so, it becomes,
8 T. 1,398 lb. 14 oz. × 6 becomes
b) 349 lb. 6 oz. ÷ 130
It becomes,
c) 6 T. 294 lb. ÷ 3,071
First it becomes,
At last it becomes,
Hence, a) 278382 oz
b) 43 oz
c) 64.1 oz
Answer:
How much water is in an empty glass that is 10cm high and has a diameter of 5 cm ?
= 196,25 cm
Step-by-step explanation:
diameter = 5 cm
radius = 1/2 × diameter
radius = 1/2 × 5 = 2,5
How much water is in an empty glass that is 10cm high and has a diameter of 5 cm?
= π × r × r × high
= 3,14 × 2,5 × 2,5 × 10
= 196,25 cm
