Answer and Step-by-step explanation:
The sides we have are 7, 
, and 
.
The square root of 80 is less than 9 but greater than 8 (because 
is 64, 
is 81, and 80 is in between those two values), and the square root of 31 is definitely less than the square root of 80.
So, is the longest side.
1) The square of is: 
2) The sum of the squares of the two shorter sides is:
3) Since the square of the longest side is equal to the sum of the squares of the two shorter sides, by the Pythagorean Theorem, the triangle is a right triangles.
Hope this helps!
39) y=20x+175
40) y=20(2)+175, so $215
Answer:
The first equation should be multiplied by - 7 and the second equation by 3
Step-by-step explanation:
Given
-- (1)
-- (2)
Required
How to eliminate y
In (1), the coefficient of y = 3
In (2), the coefficient of y = 7
Multiply the first equation by -7
--- (3)
Multiply the second by 3
-- (4)
Add the results together:
<em>See that y is eliminated</em>
Answer:
Step-by-step explanation:
This is a right triangle problem using Pythagorean's Theorem. The height of the building to the edge of the roof is 20 feet. If the ladder has to be 1/4 the height of the wall away from the building, then the base of the right triangle is 1/4 of 20 which is 5 feet. The ladder itself is the hypotenuse of the triangle, for which we are seeking a length. Use Pythagorean's Theorem:
and
and
so
c = 20.6 ft
