Answer:
B is the midpoint of AC because <AB and <BC have the same measurement.
Answer:
58/15
Step-by-step explanation:
1/6 a^2 + 9/10 b
Let a = -4 and b = 4/3
1/6 ( -4)^2 + 9/10 ( 4/3)
PEMDAS says powers first
1/6 (16) + 9/10 ( 4/3)
Then multiply
16/6 + 6/5
Simplify
8/3 + 6/5
Get a common denominator
8/3 *5/5 + 6/5 *3/3
40/15 + 18/15
58/15
Answer:
1
Step-by-step explanation:
One is the smallest multiple of 50. We can find this by finding all the multiples of 50. The multiples of 50 are: 1, 2, 5, 10, 25, and 50.
We can see that one is the smallest multiple because it is less than 2, 5, 10, 25 and 50. So, that means the answer to the question is 1.
Hope this helps.
Once we sort through the tax terms, that's just
9258.13 - 3650 - 5700 = $ -91.87
A negative numbers mean the deduction and exemption sheltered all of his income, so he has $0 taxable income, choice D.
Answer: 2.11cm
Step-by-step explanation:
Given the following :
The lengths of the parallel sides are (2z + 3) cm and (6z – 1) cm
The area of trapezoid is calculated using the formula:
1/2(a + b) × h
Where ;
a = Length of side 1
b = length of side 2
h = height
Take a = (2z + 3) and b = (6z – 1), h = z
Therefore ;
1/2 (2z + 3 + 6z - 1) × z
Opening the bracket
(z + 1.5 + 3z - 0.5) × z
(4z + 1 ) × z = 20cm^2
4z^2 + z = 20cm^2
Using Quadratic formula:
4z^2 + z - 20 = 0
a = 4, b = 1, c = - 20
(-b±√b^2 -4ac) / 2a
Z = 2.11 or - 2.364
z cannot be negative, therefore,
Z = 2.11 cm
