Answer:
6) b(3a^4-5c³)
7) 3x³yz(2x+5y)
8) 4a²b²c³(2bc-3a)
9) 4xy(2y+7z-1)
10) 2mn(5n²+2m-3n)
Step-by-step explanation:
6) Factor out the b and you get b(3a^4-5c³)
7) Factor out the 3x³yz and you get 3x³yz(2x+5y)
8) Factor out the 4a²b³c³ and you get 4a²b²c³(2bc-3a)
9) Factor out the 4xy and you get 4xy(2y+7z-1)
10) Factor out the 2mn and you get 2mn(5n²+2m-3n)
Answer:
x = 7
Triangle area formula: base * height * 1/2
We are given:
Base - 14 cm
Height - x
Using the pythagorean theroem (a^2 + b^2 = c^2) we can figure out the height.
We are given:
Side a - 14 / 2 = 7 cm
Side b - the height (x)
Side c - 14 (it's an equilateral triangle)
Now, substitute the given values:
7^2 + x^2 = 14^2
49 + x^2 = 196
x^2 = 147
x = 
x = 7
The total circle has a measure of 2π radian, so this portion is 1/(2π) of the whole circle
the circumference of the whole circle is 2πr
1/(2π) of 2πr=3.07
r=3.07
25m+20m is 45
so do 90-45 and you’ll get 45
to check your answer you can do 45+25+20 which gives you 90