Area of triangle = 1/2 x base x height
area of triangle = 1/2 x 12 x 13
area of triangle = 78 square units
Vol (pyr) = 1/3 b × h, where h = 15 and b = base = area of triangular base = 1/2 b×h, where h = 12 and b = 13
V = 1/3 (1/2×12×13)×15
V = (1/3×1/2×12)×13×15
V = 2×13×15 = 30×13 = 390 in^3
Answer:
24:16=21:14
Step-by-step explanation:
You can think of the two dots as a division sign.
24/16=21/?
3/2=21/?
3/2=21/14
Answer: a
Because in translation when you go down the y axis is negative and when you move to the left the x axis is negative
Solution
Let take boat speed = x
Current speed = 4
Upstream = x - 4
Downstream = x + 4
Distance = 9
Time upstream + Time downstream = 10
Time = Distance/Speed
9/(x + 4) + 9/(x - 4) = 10
Solving this equation 9(x-4)+9(x+4) = 10(x^2 -16)
9x - 36 + 9x + 36 = 10x^2 - 160
18x = 10x^2 -160
10x^2 -18x - 160 = 0
Now solving the above quadratic equation, we get
x = 5 or x = -16/5
We ignore the negative value.
The answer is 5.
The speed of the boat in still water is 5mph.
Thank you.