Answer:
<h3>sin(x) = StartFraction 9 Over 15.2 EndFraction</h3>
Step-by-step explanation:
From the triangle given;
The length of hypotenuse FG = 15.2 meter
Since FE is the side facing the angle FGE, then;
the length of FE is opposite = 9 meters
m<FGE = x
According to SOH CAH TOA
sin theta = opp/hyp
sin m<FGE = FE/FG
Substitute the given values
sin x = 9/15.2
Hence the correct answer is sin(x) = StartFraction 9 Over 15.2 EndFraction
Answer:
x ≥ 7
Step-by-step explanation:
|x - 7| = x - 7
A. For each absolute, find the intervals
x - 7 ≥ 0 x - 7 < 0
x ≥ 7 x < 7
If x ≥ 7, |x - 7| = x - 7 > 0.
If x < 7, |x - 7| = x - 7 < 0. No solution.
B. Solve for x < 7
Rewrite |x - 7| = x - 7 as
+(x - 7) = x - 7
x - 7 = x - 7
-x + 14 = x
14 = 2x
x = 7
7 ≮7. No solution
C. Solve for x ≥ 7
Rewrite |x - 7| = x - 7 as
+(x - 7) = x - 7
x - 7 = x - 7
True for all x.
D. Merge overlapping intervals
No solution or x ≥ 7
⇒ x ≥ 7
The diagram below shows that the graphs of y = |x - 7| (blue) and of y = x - 7 (dashed red) coincide only when x ≥ 7.
A cross because they are intersecting each other at the center of each line.
The area of a triangle can be calculated through the equation,
A = bh / 2
where A is area, b is base, and h is height.
Substituting the known values from the given above to the equation
A = (14 in)(6 in) / 2 = 42 in²
Since, there are five of these triangles, the total area is,
total area = 5(42 in²) = 210 in²
Thus, the total area of the plywood needed is 210 in².
Answer:
the building is thirty feet tall
Step-by-step explanation:
so make a ratio of shadow to joey
5:45
simplify that to
1:9
so you can now divide 270 by nine
30
the building is thirty feet tall
