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:
(1,2)
Step-by-step explanation:
The solution would be where both lines intersect.
In this case, the intersected point is (1,2)
Answer:
Step-by-step explanation:
If the numbers all have the same surd (number under the square root), they can be added and subtracted as normal.
Answer:
Step-by-step explanation:
Hi there!
Linear equations are typically organized in slope-intercept form: where <em>m</em> is the slope and <em>b</em> is the y-intercept (the value of y when x=0).
<u>1) Determine the slope (</u><u><em>m</em></u><u>)</u>
where two points that fall on the line are and
Plug in the given points (4, -6) and (0, 2):
Therefore, the slope of the line is -2. Plug this into :
<u>2) Determine the y-intercept (</u><u><em>b</em></u><u>)</u>
The y-intercept occurs when x=0. We are given that (0,2) falls on the line, so therefore, 2 is the y-intercept. Plug this into :
I hope this helps!
Answer:
12,345 tablets may be prepared from 1 kg of aspirin.
Step-by-step explanation:
The problem states that low-strength children’s/adult chewable aspirin tablets contains 81 mg of aspirin per tablet. And asks how many tablets may be prepared from 1 kg of aspirin.
Since the problem measures the weight of a tablet in kg, the first step is the conversion of 81mg to kg.
Each kg has 1,000,000mg. So
1kg - 1,000,000mg
xkg - 81mg.
1,000,000x = 81
x = 0.000081kg
Each tablet generally contains 0.000081kg of aspirin. How many such tablets may be prepared from 1 kg of aspirin?
1 tablet - 0.000081kg
x tablets - 1kg
0.000081x = 1
x = 12,345 tablets
12,345 tablets may be prepared from 1 kg of aspirin.