Answer:
6k^3(2 - 5k)
Step-by-step explanation:
12k^3 - 30k^4
Factor out 6k^3
6k^3(2 - 5k)
Answer:
4.63 cubic yard.
Step-by-step explanation:
Given,
The length of sidewalk, l = 100 feet,
Width, w = 5 feet,
Depth, h = 3 inches = 0.25 feet,
Thus, the volume of the concrete needed for making the sidewalk,
= 125 cubic feet,
∵ 1 cubic yard = 27 cubic feet,
⇒ 1 cubic feet = 
cubic yard,
Thus, the quantity of concrete needed = 
≈ 4.63 cubic yard.
Answer:
Step-by-step explanation:
Both x and y are inscribed angles. The value of an inscribed angle is half the measure of its intercepted arc. This means that x has a value of 33°, and y has a value of 48°. That means that, according to the triangle angle sum theorem, the third angle has to equal 180 - 33 - 48 = 99°.
This angle is vertical with angle z, so angle z also equals 99°
Answer:
$39.24
Step-by-step explanation:
Let's determine the sale price before tax:
0.40($60) = $24 is the discount, so
the sale price is $60 - $24, or $36.
Multiplying this result by 1.09 results in the total price, including tax. It is $39.24.
Answer:
572.40
Step-by-step explanation:
First find the tax
540 * .06 = 32.4
Add this to the original cost
540+32.4 =572.40
