Step-by-step explanation:
-3 10
-1 4
10= -3m+b
4= -m+b
6= -2m
m= -3
10= 9+b
b= 1
y= mx+b
y= -3x+ 1
Answer: the rate of the canoeist in calm water is 6 mph and the rate of the current is 4 mph
Step-by-step explanation:
Let x represent the rate of the canoeist in calm water.
Let y represent the rate of the current.
The canoeist travels 30 miles downstream in three hours.. Assuming that he travelled in the direction of the current, his total speed would be x + y mph
Distance = speed × time
Distance covered downstream is
30 = 3(x + y)
10 = x + y - - - - - - - - - - - -1
Against the current the return trip took fifteen hours..
His total speed would be x - y mph
Distance = speed × time
Distance covered on return trip is
30 = 15(x - y)
2 = x - y - - - - - - - - - - - -2
Adding equation 1 and equation 2, it becomes
12 = 2x
x = 12/2 = 6 mph
Substituting x = 6 into equation 1, it becomes
10 = 6 + y
y = 10 - 6 = 4 mph
Hey there! :)
You have to find the area of all of them and add it together.
Formulas:
Area of a square: l · w
Area of a triangle: (b · h) ÷ 2
Square -
l = 3
w = 3
3 × 3 = 9
Triangle -
b = 3
h = 3
(3 × 3) ÷ 2
9 ÷ 2 = 4.5
There are 4 triangles
4.5 × 4 = 18
9 + 18 = 27
The surface area ⇒ 27 cm²
Hi there!
Let's use the formula of a sphere and divide it by two (for each hemisphere) to find the volume. Then, we'll create a ratio to figure out how many times larger the larger hemisphere is.
WORK:
Larger hemisphere:
V = 2/3(pi)(8^3)
V = 2/3(512pi)
V = 341.33pi
Smaller hemisphere:
V = 2/3(pi)(4^3)
V = 2/3(64pi)
V = 42.66pi
Ratio:
341.33/42.66
Approximately 4 times
ANSWER:
The larger hemisphere is approximately 4 times bigger than the smaller hemisphere