Answer:
15= 5x+ 2
Step-by-step explanation:
y= mx+b
y is the intercept,
Answer:
4 mph
Step-by-step explanation:
Let :
Boat speed = 20 mph
speed of current = x mph
Distance against current = 2 miles
Distance with current = 3 miles
speed against current will be ; 20 - x
speed with current will be ; 20 + x
Time =distance / speed against time against = time with current
Solving Mathematically ;
2/(20-x )=3/(20 +x)
2(20+x )= 3( 20-x )
40+2x = 60-3x
3x +2x=20
5x=20
x = 20 / 5
x = 4 mph
Speed of current = 4 mph
Answer: 74.8%
This answer is approximate.
The value is rounded to the nearest tenth of a percent.
==========================================
Explanation:
Let,
X = area of the larger circle
Y = area of the smaller circle
Z = area of the shaded region = X - Y
The goal is to compute the ratio Z/X to get the answer we want
Let's find area of the larger circle
Area of circle = pi*(radius)^2
A = pi*r^2
X = pi*8.01^2
X = 64.1601pi
This is the exact area in terms of pi
Now repeat for the smaller circle
A = pi*r^2
Y = pi*4.02^2
Y = 16.1604pi
Subtract those results to find the value of Z
Z = X-Y
Z = 64.1601pi-16.1604pi
Z = 47.9997pi
This is the exact area of the red donut region
Divide Z over X to get the probability of landing in the red region
Z/X = (47.9997pi)/(64.1601pi)
Z/X = (47.9997)/(64.1601) <--- note how the pi terms cancel
Z/X = 0.74812 which is approximate
Convert to a percent
Move the decimal point 2 spots to the right
0.74812 ---> 74.812%
Then round this to one decimal place
74.812% ---> 74.8%
The answer to this question is 56
Check the picture below.
so, as you see there, those radius make out an "equilateral triangle", and as you know, all angles in an equilateral triangle are 60° each.
now, if we make out the other equilateral triangle underneath that one, and add up the angles making out ∡CBD, you'd get, yes, you guessed it.
