Answer:
As per the statement
The altitude of the balloon is 50 feet and the rope is 75 feet long.
⇒ Altitude of the balloon = 50 feet.
And length of the rope = 75 feet.
We have to find the angle that rope makes with ground,
Using Sine ratio:

You can see the diagram as shown below.
Here,
Opposite side = Altitude of the balloon = 50 feet.
Hypotenuse side = length of the rope = 75 feet.
Substitute the given values we have;

⇒
= 41.8°
Therefore, the angle that the rope makes with the ground is, 41.8 degree
Circumference = 2*pi*r = 27"
Solve for r
r=27"/(2*pi)
=27"/(2*3.14159265)
=4.297..."
=4.30" (to the nearest hundredth of an inch)
So the points are
(x,f(x))
(-3,-1)
(0,2)
(3,5)
(6,8)
hmm, find slope
slope betweeen 2 points (x1,y1) and (x2,y2) is (y2-y1)/(x2-x1)
slope betwen (0,2) and (3,5) Is (5-2)/(3-0)=3/3=1
y=mx+b
m=slope
b=y intercept
given slope=1
y=1x+b
find b
input a point
(3,5)
x=3 and y=5
5=1(3)+b
5=3+b
2=b
y=1x+2 is the equaiton
Answer:
Step-by-step explanation:
we know that
The compound interest formula is equal to
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
n is the number of times interest is compounded per year
in this problem we have
Part 1)
substitute in the formula above
Part 2)
substitute in the formula above
Answer:
132 degrees
Step-by-step explanation:
360 - 65 - 86 -77