5(x-2)(x+4)>0 For this to be true, both parenthetical terms must be both positive or both negative.
x<-4 and x>2
x=(-oo,-4),(2,+oo)
The angle of depression is 29.0521°. So it is a safe landing.
Step-by-step explanation:
Step 1:
The plane is flying at a height of 25,000 feet and 45,000 feet away from the landing strip. Assume it lands with an angle of depression of x°.
So a right-angled triangle can be formed using these measurements. The triangle's opposite side measures 25,000 feet while the adjacent side measures 45,000 feet. The angle of the triangle is x°.
To determine the value of x, we calculate the tan of the given triangle.
Step 2:
The length of the opposite side = 25,000 feet.
The length of the adjacent side = 45,000 feet.
So x = 29.0521°. Since x < 30°, it is a safe landing.
6 goes into 516 86times.You only divide 516/6
Answer:
- 41.3 mm
- 4.86 m
- 420 cm
- 7.06 m
- 2.2 cm
- 5.93 m
- 255 cm
- 79 cm
- 46.9 mm
- 3.29 m
Step-by-step explanation:
I'll do the first two problems to get you started. All problems shown will use the same formula.
===========================================
Problem 4
The formula to use is
C = 100*(B-A)/A
where
A = old value
B = new value
C = percent change
In this case, A = 12 and B = 36, so
C = 100*(B-A)/A
C = 100*(36-12)/12
C = 100*(24/12)
C = 100*2
C = 200%
We have a 200% increase. It is an increase because the value of C is positive.
===========================================
Problem 5
Use the same formula as in the previous problem. This time,
A = 75 is the old value
B = 25 is the new value
C = 100*(B-A)/A
C = 100*(25-75)/75
C = 100*(-50/75)
C = 100*(-2/3)
C = -66.6667%
C = -66.7%
The value of C is negative, so we have a percent decrease of roughly 66.7%
