Answer:
Step-by-step explanation:
Area of any triangle could be always calculated as base length multiplied by the height perpendicular to the aforementioned base divided by 2. Therefore:
A = 18 * 11 / 2 = 198 / 2 = 99
(-2,4), (2,5)
Slope equation : (y₂-y₁) / (x₂-x₁)
Plug in the values.
m = slope
m = (5-4) / (2 + 2)
Simplify.
m = 1/4
So, your slope is 1/4
~Hope I helped!~
Answer:
rate of motorboat: b
rate of current: c
So the rate the boat travels upstream is $b - c$, and the rate it travels downstream is $b + c$
Step-by-step explanation:
d = rt
200 = (b - c)\cdot 5
200 = (b + c)\cdot 4
b - c = 40
b + c = 50
Adding these equations, we get:
2b = 90
b = 45
So
c = 50 - 45 = 5
<u>Therefore the rate of the boat is 45kph, and the rate of the current is 5kph</u>
Hope this helps :)
Answer:
the first one
Step-by-step explanation:
angle L congruent to angle P
Answer:
0.37 feet.
Step-by-step explanation:
The following data were obtained from the question:
Volume (V) = 4100 ft³
Height (h) = 1.8 miles
Radius (r) =?
Next, we shall convert 1.8 miles to foot.
This can be obtained as follow:
Recall:
1 mile = 5280 ft
Therefore,
1.8 miles = 1.8 × 5280 = 9504 ft
Finally, we determine the radius as follow:
Volume (V) = 4100 ft³
Height (h) = 9504 ft
Pi (π) = 3.14
Radius (r) =?
V = πr²h
4100 = 3.14 × r² × 9504
4100 = r² × 29842.56
Divide both side by 29842.56
r² = 4100/29842.56
Take the square root of both side
r = √(4100/29842.56)
r = 0.37 ft
Therefore, the radius of the hole is 0.37 feet.
