Answer:
134.4 centimeters
Step-by-step explanation:
This question is asking us for a missing leg on the triangle, lets call it x. Using the Pythagorean theorem (a²+b²=c²), we can figure out what value is missing (either a or b, they are interchangeable).
replace the values in the equation.
83²+x²=158²
get rid of the exponents.
6,889+ x² = 24,964.
subtract 6,889 from 24,964.
x²=18,075.
find the square root on both sides of the equation.
x=134.4432966.
I am assuming you want this rounded to the nearest tenth.
134.4 is your answer.
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Answer:
94.2
Step-by-step explanation:
Arc length is basically circumference.
Circumference formula: 2πr
All we need is the radius.
Radius = r
15 x 2 = 30 (diameter)
Then we are going to multiply by pi.
Arc length = 30π OR 94.2
The smaller the value of the least increment, the more precise a number is.
Length measured to the nearest 1/8 inch will be more precisely specified than length measured to the nearest 1/4 inch.
_____
In general, precision has little to do with accuracy—how close the measured value is to the actual value. A measurement can be very precise, but just plain wrong. (Many electronic instruments have resolution (precision) that exceeds their accuracy. That is, one or two (or more) of the least-significant displayed digits may be in error.)
Answer:
You will break even on the car wash when you buy 13.5 gallons. As long as you buy that or more, it is cheaper to get the car wash.
Step-by-step explanation:
In order to find this, we need to create equations for both situations. If we let x equal the amount of gallons purchased, we can model the first equation as:
f(x) = 3.35x
And the second equation as:
f(x) = 3.05x + 4.05
Then to find when they equal each other, we can set the two equations equal to each other and solve for x.
3.35x = 3.05x + 4.05
0.30x = 4.05
x = 13.5
This means once you buy 13.5 gallons, the prices will be the same. Any amount over that and the car wash will be cheaper
Answer:
w ≥ 1
Step-by-step explanation:
Given
5w ≥ - 6w + 11 ( add 6w to both sides )
11w ≥ 11 ( divide both sides by 11 )
w ≥ 1
