Answer:
Step-by-step explanation:
Use the law of sines.

Plug values in.

Cross multiply.

Hope that helps.
Split up the interval [2, 5] into

equally spaced subintervals, then consider the value of

at the right endpoint of each subinterval.
The length of the interval is

, so the length of each subinterval would be

. This means the first rectangle's height would be taken to be

when

, so that the height is

, and its base would have length

. So the area under

over the first subinterval is

.
Continuing in this fashion, the area under

over the

th subinterval is approximated by

, and so the Riemann approximation to the definite integral is

and its value is given exactly by taking

. So the answer is D (and the value of the integral is exactly 39).
Y= 3X + 1. Perpendicular means you would change the slope by flipping it and changing the sign. So the slope then becomes 3. Then you use your points to find the y-intercept by filling in the variables. 7=3(2) + B. 7=6 + B. Then subtract 6 from both sides. B=1. Then you just put your problem back into slope intercept form with your new slope and y-intercept. Y=3x + 1.
You do the same as whole numbers! Make sure the denominators are the same, add them all up, and then divide by the number of fractions there are!
9514 1404 393
Answer:
D. MN ⊥ LP
Step-by-step explanation:
Using HL for the proof requires that the triangles be right triangles. In order to ensure that is the case, you must have MN⊥LP.