Answer:
The numbers are
and
Step-by-step explanation:
Let
x ------> one number
(x-8) ------> the another number
we know that
Simplify
The formula to solve a quadratic equation of the form is equal to
in this problem we have
so
substitute in the formula
so
the solution must be a positive real number
------>
Answer:
20 ft
Step-by-step explanation:
1 in = 8 ft
2.5 in = 2.5 × 8 = 20 ft
The length of the basemennt is 20 ft.
7/4 = -5x + 6
4(7/4) = 4(-5x) + 4(6)
7 = -20x + 24
-17 = -20x
x = 17/20
Hope this helps!! :)
Answer:
500 in^3
Step-by-step explanation:
The volume of a sphere is given by
V = 4/3 pi r^3
Using 3 for pi
V = 4/3 (3) (5)^3
V = 4 * 125
V = 500
<span>In triangle XYZ,
angle X=46 degrees,
XZ = 10 units and
YZ=8 units.
We will find the length of XY using cosine rule:
According to cosine rule:
a² = b² + c² - 2bc cosA (the figure is attached)
Here, A = 46 degree.
a = 8 units.
b <span>= ?
</span>c = 10 units.
</span>⇒ b² = c² - a² -2bc cosA
⇒ b² = 100 - 64 - 160*cos(46)
⇒ b² = 100 - 64 - 160*0.69
⇒ b² = 100 - 64 - 110.4
⇒ b² = 100 - 64 - 110.4
⇒ b² = 74.4
or b = 8.62 units.
or b = 8 untis approximately.