Answer:
56x^2 + 94xy
Step-by-step explanation:
(7x + 3y)(8x + 5y) =
56x^2 + 35xy + 24xy + 35xy = 56x^2 + 94xy
(180(total angle measure of triangle)-50(EFG))/2(the other two angles have the same measure)=65
The angle CGE=180=CGF+EGF
180-65=CGF
115=CGF
Answer:
x=20 degrees
Step-by-step explanation:
complementary means the angles equal 90 degrees
so ∠A+∠B=90 degrees
∠A=3x-2 and ∠B=x+12
so subsitute
(3x-2)+(x+12)=90
then solve for x
4x+10=90
4x=80
x=20 degrees is your answer
Answer: Yes
Step-by-step explanation:
We will assume that each bulb is of 100 kW (kilowatt).
We will calculate how much energy in kilowatt-hours the light bulb will use per year in kilowatts, by the number of hours in a year.
We have, 100 kW = 0.1 kW so the energy consumed in one year is,
0.1 \times 8760=876.0\text {kWh} Since there are 8760 hours in one year. It is given that there are 9 bulbs so we need to have, 876 \times 9 = 7884 \text {kWh}
It is given that 1 ton of coal produces 2460 kWh, so 4 tons of coal will produce, 4\times 2460= 9840 \text {kWh}
We can observe that 4 tons of coal is producing 9840 kWh which is mroe than 7884 kWh. So, yes, 4 tons of coal can produce enough power to light 9 bulbs for a year
Answer:
6 m by 8 m
Step-by-step explanation:
The sum of two adjacent side lengths is half the perimeter, so is 14 meters. Two numbers differing by 2 that have a sum of 14 are half that total plus or minus have the difference: 7 ±1 = 6 and 8.
The room is 6 meters wide and 8 meters long.
