Answer:
Height of vertical post relative to the horizontal is 6.3 ft
Height of vertical post above the roof (roofing sheets) is 4.0 ft
Step-by-step explanation:
Given the roof is 20° relative to the horizontal and the solar panel should be 38° relative to the horizontal, then finding the vertical support holding the back of the panel relative to the horizontal will be;
Apply the formula for sine of an angle as;
Sin of angle theta = opposite side length/hypotenuse
Sin 38° = O/8 where O is the length of opposite side of the angle
8*sin 38°=O
4.93 ft = O
Applying Pythagorean relationship to find the length from the bottom part of the panel to the vertical support relative to the horizontal will be;
a²+b²=c² where a=?, b=4.93 and c = 8
a²+4.93²=8²
a²=8²-4.93²
a=6.3 ft
Finding the height of the roof from the horizontal at 20° angle
Tan 20°= O/6.3
6.3 tan 20° = O
2.3 ft =O
Now finding the length of vertical post above the roof will be;
6.3-2.3=4.0 ft
Answer:
Fadil earns $60 for each tv sold.
Step-by-step explanation;
13 (30) = 390
390 is the cost of all the warranties.
Subtract 390 from 1,170 to find the fixed amount for 13 tvs.
1,170 - 390 = 780
Divide 780 by 13 to find the fixed amount per tv.
780 ÷ 13 = 60
X = larger number, y = smaller number
x + y = 38...because the sum of the numbers is 38
x = 2y - 10....larger one is 10 less then twice the smaller
now we will sub in 2y - 10 for x back into the first equation
x + y = 38
2y - 10 + y = 38
3y - 10 = 38...add 10 to both sides
3y = 38 + 10
3y = 48 ...divide both sides by 3
y = 48/3
y = 16
now sub 16 in for y back into either of the original equations and find x
x = 2y - 10
x = 2(16) - 10
x = 32 - 10
x = 22
so ur numbers are 16 and 22
Um how am i supposed to answer
Twenty-Six you idiot! sry for insult.