Answer:
the angle of elevation is 12.56°
Step-by-step explanation:
the height of the ramp represents the opposite side and the length of the ramp the hypotenuse
we see that it has (angle, hypotenuse, opposite)
well to start we have to know the relationship between angles, legs and the hypotenuse
a: adjacent
o: opposite
h: hypotenuse
sin α = o/h
cos α= a/h
tan α = o/a
we choose the one with opposite and hypotenuse
sin α = o/h
sin α = 5ft / 23ft
sin α = 5/23
α = sin^-1 ( 5/23)
α = 12.56°
the angle of elevation is 12.56°
Answer:
The required amount of interest is $5538.
Step-by-step explanation:
Given : $1,500 invested for 20 days at 6.75%, compounded daily.
To find : The amount of interest ?
Solution :
Applying compound interest formula,
Where, A is the amount
P is the principal P=$1500
r is the interest rate r=6.75%=0.0675 compounded daily
t is the time t=20 days
Substitute the value in the formula,
Therefore, The required amount of interest is $5538.
Answer:
26.3 hours
Step-by-step explanation:
We need to divide 250 by 9.50, therefore we get the answer ≈ 26.3
Answer:
GH = 20
Step-by-step explanation:
We have that
FH = FG + GH ← substitute values
4x + 8 = x + 5x
4x + 8 = 6x ( subtract 4x from both sides )
8 = 2x ( divide both sides by 2 )
4 = x
Hence GH = 5x = 5 × 4 = 20GH = 20
Answer:
9.3
Step-by-step explanation:
check picture for steps