Answer:
Part A
71°
Part B
The ladder is been used safely
Step-by-step explanation:
Part A
We solve the above question using Trigonometric function of Cosine
cos x = Adjacent/Hypotenuse
Adjacent = The distance between the house and the bottom of the ladder = 4 feet
Hypotenuse = Length of the ladder = 12 feet
x = Angle
Hence:
cos x = 4/12
cos x = 1/3
x = arc cos (1/3)
x = 70.528779366°
Approximately to the nearest degree
= 71°
Part B
According to the manufacturer, if the angle the ladder forms with the ground, x, is between 70° and 75°, then it meets safety standards. Is this ladder being used safely?
Angle x = 71°
Therefore, the ladder is been used safely
Answer:
Step-by-step explanation:
Need to find the value of t, when h(t) = 0
-
-16t^2 +64t + 100 = 0
- 4t^2 - 16t - 25 = 0
- 4t^2 - 2*2t*4 + 16 = 41
- (2t - 4)^2 = 41
- 2t - 4 = √41
- 2t - 4 = 6.4
- 2t = 10.4
- t = 5.2
Answer is 5.2 seconds
Answer:
C.
Step-by-step explanation:
The formula to convert C° to F° is C = 5(F-32)
The answer is -16 - 10i.
Using the distributive property on the first part, we have:
-2i*7--2i*4i + (3+i)(-2+2i)
-14i+8i² +(3+i)(-2+2i)
Using FOIL on the last part,
-14i+8i²+(3*-2+3*2i+i*-2+i*2i)
-14i+8i²-6+6i-2i+2i²
-10i+8i²-6+2i²
Since we know that i = -1,
-10i+8(-1)-6+2(-1)
-10i-8-6-2
-16-10i
