Answer:
1.26 m^2 / s.
Step-by-step explanation:
The area A of the triangle = 1/2*7*12 sin x = 42 sin x where x is the angle between the lines.
Relation between the rates is
dA/dt + dA/dx * dx/dt
We are given that dx /dt = 0.06 rad/s.
A = 42 sin x
dA/dx = 42 cos x
So dA/dt = 42 cos x * 0.06
When x = π/3 ( I am assuming that π 3 means π divided by 3 ):
dA/dt = 42 cos π/3 * 0.06
= 1.26 m^2/s.
Answer:
See answer below
Step-by-step explanation:
In inductive reasoning we arrive to a general conclusion based on particular observations.
For example:
<em>"My friends Peter and Mary study at XYZ University. Peter and Mary are brilliant.
</em>
<em>Yesterday I met Joe in a party. Joe also studies at XYZ University and he happens to be brilliant, too.
</em>
<em>I conclude that all the students of XYZ University are brilliant"
</em>
Notice that this kind of reasoning might lead to a false conclusion.
In deductive reasoning, we arrive to a particular conclusion based on general observations. So, deductive reasoning is the opposite of inductive reasoning.
An example of deductive reasoning could be the following:
<em>"To be accepted in the XYZ University you must pass a test with a score greater than 70%.
</em>
<em>My friend Peter studies at XYZ University, so he passed the test with a score greater than 70%"
</em>
In deductive reasoning you may arrive to a false conclusion if your general assumption is false.
Answer: l * w
length * width
Step-by-step explanation:
Multiply the length and width of a rectangle to find the area.
Answer:
y = -9/2 x +5
Step-by-step explanation:
Slope intercept form is y=mx+b
2y = -9x+10
y = -9/2 x +5
