Answer:
Step-by-step explanation:
Add 4 to both sides
13 + 4 = w/-3 - 4 + 4
17 = w/-3 Multiply through by -3
17*-3 = -3*(w/-3)
-51 = w
Answer:
Lara's share = 25000
Step-by-step explanation:
Partnership's income = 50,000
Lara's guaranteed payment = 20,000
As the Income 50,000 is larger than Lara's guaranteed payment i.e 20,000. Since Lara is 50% partner so she will receive half the amount of the partnership's income.
Partnership's Income = 50,000
Half of Partnership's income = 50,000/2
= 25,000
Therefore, Lara's distributive share is 25,000.
!!
Answer:
8 feet
Step-by-step explanation:
Given data
Area= 64 square feet
Base= x feet
Height= x+8 feet
The expression for the area
A= 1/2b*h
substitute
64= 1/2*x*(x+8)
64= 1/2*x^2+8x
64= (x^2+8x)/2
cross multiply
64*2= x^2+8x
128= x^2+8x
rearrange
x^2+8x-128= 0
using the quadratic formula
a=1
b=8
c=-128
x= -b±√b^2-4ac/2a
x= -1±√8^2-4*1*-128/2*1
simplifying
x= 8
x=-16
Hence the height of the base is
h= 8 feet
Cos A will be 60°.
Because When, cos is 1/2 then theta or angle is degree 60°
In order to find the volume, you have to find the volume ratio. To find the volume ratio you have to cube the scale factor. 1/2 cubed is 1/8. Now to find the volume, you multiply the volume ratio by the volume of the original prism.
160x1/8= 20
The answer is 20cm3
