Rita has 3 ¾ cups of potato chips to share with 6 friends. How many cups does EACH friend get?
2 answers:
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Answer:
Step-by-step explanation:
There are 2 very distinct and important things that we need to know before completing the problem. First is that we are given that the cos of an angle is 1/3 (adjacent/hypotenuse) and it is in the first quadrant. We also need to know that the identity for sin2θ = 2sinθcosθ.
We already know cos θ = 1/3, so we need now find the sin θ. The sin ratio is the side opposite the angle over the hypotenuse, and the side we are missing is the side opposite the angle (we do not need to know the angle; it's irrelevant). Set up a right triangle in the first quadrant and label the base with a 1 (because the base is the side adjacent to the angle), and the hypotenuse with a 3. Find the third side using Pythagorean's Theorem:
which simplifies to
and
so
so that's the missing side. Now we can easily determine that
Now we have everything we need to fill in the identity for sin2θ:
and multiply all of that together to get
Answer:
A) Linear
Step-by-step explanation:
For a linear relation, there will be a constant rate of change
For an exponential relationship, there will be a multiplicative rate of change.
For x-values, there is a constant difference of
For the y-values, there is a constant difference of
The rate of change of the function represented by the table is
The equation can be derived as:
This is a linear relationship
Answer:
The surface area is 248 square inches
Step-by-step explanation:
The missing dimensions (that complete the question) are:
--- L
---- W
--- H
Required:
Calculate the surface area
The surface area is:
Substitute values for L, W and H
Remove bracket