Answer:
90
Step-by-step explanation:
10+67
7586+65
576845=8757685
2+88=90
Answer: x = 13.4
Step-by-step explanation:
1. Subtract 90 degrees and 33 degrees to get angle X, which is 57 degrees.
2. Using Laws of Sine, plug in the known elements of the triangle:
(16) / (sin(90)) = (x) / (sin(57))
3. Cross multiply, this will leave 16sin(57) = xsin(90)
4. Divide sin(90) to the other side, leaving x = (16sin(57)) / (sin(90))
5. Plug this into a calculator and your final answer should be 13.4
If y varies directly as the square of x, that means that y=k*x^2. Plugging y=100 and x=5 into it, we get 100=k*5^2=k*25. Dividing by both sides, we get k=100/25=4. Going back to the original equation, we now know that y=4*x^2. Plugging 9=x in, we get 4*9^2=4*81=324=y
Answer:
The answer is 116
Step-by-step explanation:
Because this shape is a quadrilateral, so the sum of the angles of a quadrilateral is a total of 360 degrees. So i added 90 + 90 + 64 = 244. And 360 - 244 = 116.
We will be using the formulas:
speed=distance/time
time=distance/speed
distance=speed×time
First let's find out Diane's rate of swimming. We can measure this by finding the slope (y/x) of a given coordinate on the graph. One point is (10,15), so you do 15/10=1.5m/s
Now for Rick's rate of swimming, just take a pair of values from the table. 12.5/10=1.25m/s
By the way m/s is metres per second for this
So at a constant speed of 1.5m/s, Diane swam 150m in 150/1.5= 100 seconds, or 1 minute 40 seconds
And at a constant speed of 1.25m/s, Rick swam 150m in 150/1.25= 120 seconds, or 2 minutes.
So the difference between their two times is 20 seconds
