Answer:
A. 5
Step-by-step explanation:
The longest side of the right triangle is the hypotenuse and it is √61 units. The other legs of the triangle is x unit and (x + 1) units.
From Pythagoras theorem for right angle triangle, the square of the hypotenuse is equal to the sum of the square of the other sides of the triangle. This implies that:
(√61)² = (x)² + (x + 1)²
x² + x² + 2x + 1 = 61
2x² + 2x + 1 - 61 = 0
2x² + 2x -60 = 0
Dividing through by 2 gives:
x² + x - 30 = 0
x² + 6x - 5x - 30 = 0
x(x + 6) -5(x + 6) = 0
(x-5)(x+6) = 0
x-5 = 0 or x+6 = 0
x = 5 or x = -6
Since the length of a side cannot be negative, x = 5 units
Answer:
0.111
Step-by-step explanation:
It is given that a manufacturing company found out that the intrastate contracts having a low bid which are
distributed between
and
of dollars.
Therefore, the probability that a low bid on the
shipping contract is in excess of
is given by :
P(x ≥ 30) = 1 - P(X ≤ 30)
![$=1-\frac{30-22}{31-22}$](https://tex.z-dn.net/?f=%24%3D1-%5Cfrac%7B30-22%7D%7B31-22%7D%24)
![$=1-\frac{8}{9}$](https://tex.z-dn.net/?f=%24%3D1-%5Cfrac%7B8%7D%7B9%7D%24)
= 0.111
Answer: Must you show your work or
Answer:
The driveway of the brown house is longer by 5 feet.
Step-by-step explanation:
Given two houses (red and brown) such that:
- The driveway in front of the brown house is 35 feet long.
- The driveway in front of the red house is 7 yards and 9 feet long.
We want to determine which of the houses has a longer driver.
To compare, we must ensure that all units are the same.
Therefore: 7 Yards =3 X 7 feet =21 feet
Driveway of the red house =7 yards and 9 feet long=21+9=30 feet
Therefore:
- The driveway in front of the brown house is 35 feet long.
- The driveway in front of the red house is 30 feet long.
The driveway of the brown house is longer by 5 feet.