Answer:
- WY = 2.2
- m∠W = 63.4°
- m∠Y = 26.6°
Step-by-step explanation:
It is convenient to use the Pythagorean theorem to find the hypotenuse, given the side lengths.
WY² = WX² +XY²
WY² = 2² +1² = 4 +1 = 5 . . . . . fill in the given numbers
WY = √5
WY ≈ 2.2
_____
It is convenient to use the tangent relation to find the angles.
tan(W) = XY/XW = 2/1 = 2
W = arctan(2) ≈ 63.4°
You can do likewise for angle Y, or you can simply find the complement of angle W. (The acute angles in a right triangle are complements of each other.)
Y = 90° -W = 26.6°
The angle measures are ...
Answer:
Step-by-step explanation:
I don't see Wen's work, but I'll show you mine!
We can create a set of coordinates for each of these sets of data, where x is the time in hours, and y is the number of degrees in Fahrenheit.
At time 0, the temp is 0: (0, 0)
5.75 hours late, the temp is -15.5: (5.75, -15.5)
We can find the change in temp per hour by using the slope formula, since slope is, after all, the rate at which something is changing.
That is rounded to the tenths place from -2.695652174 so you can round it however you need. What the interpretation of this number is is that temp is falling at a rate of 2.7 degrees F per hour.
Answer:
m-2
Step-by-step explanation:
m is being subrtacted by 2
Answer:
Step-by-step explanation:
[Most of the work here comes from manipulating the trig to make the term (integrand) integrable.]
Recall that we can express the squared trig functions in terms of cos(2x). That is,
And so inverting these,
.
Multiply them together to obtain an equivalent expression for sin^2(x)cos^2(x) in terms of cos(2x).
Notice we have cos^2(2x) in the integrand now. We've made it worse! Let's try plugging back in to the first identity for cos^2(2x).
So then,
This is now integrable (phew),