Answers:
hypotenuse = 20 feet
longer leg = 16 feet
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Explanation:
c = x = length of the hypotenuse
a = x-4 = length of one of the legs
b = 12 = length of the other leg
Use the pythagorean theorem
a^2 + b^2 = c^2
12^2 + (x-4)^2 = (x)^2
144 + x^2 - 8x + 16 = x^2
144 - 8x + 16 = 0 .... the x^2 terms cancel
160-8x = 0
160 = 8x
8x = 160
x = 160/8
x = 20 is the hypotenuse
x-4 = 20-4 = 16 is the longer leg
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Check:
12^2+16^2 = 144+256 = 400
20^2 = 400
Since 12^2+16^2 = 20^2 is true, this means we have a right triangle with legs of 12 and 16, while the hypotenuse is 20. The answer is confirmed.
Answer:
13.6 gallons
Step-by-step explanation:
Miles Driven = Gallons Burnt * Miles Per Gallon
So if yo drive 20.88 miles on one gallon how many gallons does it take to drive 284 miles. This is 284/20.88 = 13.6 gallons
Whilst the numerical answer is correct the previous answer, it does not maintain the validity of the units - in which things are measured. You will see this is very important in science
What can we learn from this. As an intermediate step we have learnt that the car does 20.88 mpg, lets call it 21. So a car that has a sticker at the show room with an MPG of more than 21 will consume less gas and one that has a smaller mpg will consume more.
Answer:
0.36
Step-by-step explanation:
Given, a circle with radius, 
Area of circle =
Substitute 
Area of whole circle
Square is inscribed in it whose each side is 
Area of square 
We can see that area of the white circle
= area of the whole circle - area of square
Probability of falling a random point within the white circle
Rounding to nearest hundredth.
Probability of falling a random point within the white circle would be 0.36
No
because the power of x in the first term is not equal to that of x of the second term
and so for y
Answer:
x = 4
Step-by-step explanation:
y = - 2 is the equation of a horizontal line parallel to the x- axis.
A perpendicular line is therefore a vertical line parallel to the y- axis with equation
x = c
where c is the value of the x- coordinates the line passes through.
The line passes through (4, - 2 ) with x- coordinate 4 , thus
x = 4 ← equation of perpendicular line
