Answer:
30 m/s
Step-by-step explanation:
Let's say the distance from the first car to the intersection is x, and the distance from the second car to the intersection is y.
The distance between the cars can be found with Pythagorean theorem:
d² = x² + y²
Taking derivative with respect to time:
2d dd/dt = 2x dx/dt + 2y dy/dt
d dd/dt = x dx/dt + y dy/dt
We know that x = 200, dx/dt = -25, y = 150, and dy/dt = -50/3.
To find dd/dt, we still need to find d.
d² = x² + y²
d² = (200)² + (150)²
d = 250
Plugging everything in:
250 dd/dt = (200) (-25) + (150) (-50/3)
dd/dt = -30
The cars are approaching each other at a rate of 30 m/s at that instant.
Answer:
Hope this helps! If I could have brainliest I'm trying to rank up.
Step-by-step explanation:
First find the probability of each color being drawn.
We need to find the total number of marbles first.
4 + 3 + 6 = 13
Everything will be over 13.
Probability of a white marble being drawn --> 4/13
Probability of a blue marble being drawn --> 3/13
Probability of a red marble being drawn --> 6/13
Now to find the probabilities of more than one being drawn, we can multiply.
Part A:
6/13*6/13=36/169
Part B:
3/13*3/13=9/169
Part C:
6/13*6/13=18/169
Part D:
7/13*7/13=49/169
Solving this problem is pretty straight forward. All we
have to do is to find for the measure of one side since the shape is a cube so
the formula for volume is:
V = s^3
where V is volume = 64 m^3, s is the measure of one side
64 m^3 = s^3
s = cuberoot (64 m^3)
s = 4 m
Therefore the size of the pictures are:
<span>C. 4 x 4</span>
A baker can decorate 1.4 cupcakes in 1 minute.
Step-by-step explanation:
42 cupcakes are decorated in 30 minutes by the baker. We need to find how many cupcakes can the baker decorate per minute?
Solving:
In 30 minutes cupcakes are decorated = 42
in 1 minute cupcakes are decorated = 42/30 = 1.4
So, A baker can decorate 1.4 cupcakes in 1 minute.
Keywords: Word Problems
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