Use distributive property:
16. 5k(3 - 4k)
15k - 20k^2
18. 6g^2(g - 8)
6g^3 - 48g^2
20. -2n^2 (5n - 9 + 4n^2)
-10n^3 + 18n^2 - 8n^4
Answer:
See below
Step-by-step explanation:
The first one 'cubes' the denominator AND the numerator:
(-2/5)^3 = -2/5 * -2/5 * -2/5 = -8/125
The second one 'cubes' only the denominator:
-2/5^3 = -2 / (5 * 5 * 5) = - 2 / 125
Answer: 2.2 meters
Step-by-step explanation:
The data is:
The initial piece is 6.35 meters long.
We cut 25 pieces of 16.2cm each, so in pieces only we have:
25*16.2cm = 405cm
1m = 100cm
Then: 405cm = (405/100) m = 4.05m
And each time that we cut a piece, we have 4mm of waste.
Then we have 25 times the 4mm of waste, this means that the total waste is:
4mm*25 = 100mm
and 1000mm = 1m
100mm = (100/1000) m = 0.1m
So the total amount that was cut is:
4.05m + 0.1m = 4.15m
The length in the channel iron will be: 6.35m - 4.15m = 2.2 meters
Answer:
50
Step-by-step explanation:
The sum of the angles of a triangle add to 180 degrees
A + B + C = 180
2x-10 + 70+ x+30 = 180
Combine like terms
3x +90 = 180
Subtract 90 from each side
3x+90-90=180-90
3x= 90
Divide by 3
3x/3= 90/3
x=30
We want to find angle A
A = 2x-10
=2*30 -10
=60-10
50
