Answer: sin u = -5/13 and cos v = -15/17
Step-by-step explanation:
The nice thing about trig, a little information goes a long way. That’s because there is a lot of geometry and structure in the subject. If I have sin u = opp/hyp, then I know opp is the opposite side from u, and the hypotenuse is hyp, and the adjacent side must fit the Pythagorean equation opp^2 + adj^2 = hyp^2.
So for u: (-5)^2 + adj^2 = 13^2, so with what you gave us (Quad 3),
==> adj of u = -12 therefore cos u = -12/13
Same argument for v: adj = -15,
opp^2 + (-15)^2 = 17^2 ==> opp = -8 therefore sin v = -8/17
The cosine rule for cos (u + v) = (cos u)(cos v) - (sin u)(sin v) and now we substitute: cos (u + v) = (-12/13)(-15/17) - (-5/13)(-8/17)
I am too lazy to do the remaining arithmetic, but I think we have created a way to approach all of the similar problems.
Answer:
-9/2 or -4.5
Step-by-step explanation:
-1/2 - 4
= -9/2 or -4.5
Answer:
7(4)-7
28-7
21
Step-by-step explanation:
Since they want a product, that means multiplication. We want to multiply a whole number and a fraction to get 5/3. When we multiply fractions, you multiply across the numerator and across the denominator. So in this case we want to multiply 2 numbers to get 5 a decimal 2 numbers to get 3. Each of these numbers only have 2 factors so
5 × 1 = 5 and
3 × 1 = 3
So we are going to multiply
5 × 1/3 =
5/1 × 1/3 = 5/3
The value of T(290) will be 330.6.The relation between them is shown as T(x) is dependent and x is the independent variable. Option D s correct.
<h3>What is a function?</h3>
A connection between independent variables and the dependent variable is defined by the function.
Functions help to represent graphs and equations. A function is represented by the two variables one is dependent and another one is an independent function.
Given relation;
T(x) = x +0.14x
Substitute the value of x we get;
T(290) = 290 +0.14×290
T(290) = 330.6
Hence, option D s correct.
To learn more about the function refer to the link; brainly.com/question/12431044.
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