5 consecutive even integers: n, n+2,n+4,n+6,n+8
n+(n+2)+(n+4)+(n+6)+(n+8)=1310
combine like terms
5n+20 = 1310
subtract 20 from each side
5n = 1290
divide by 5
n=258
n+2 = 260
n+4=262
n+6=264
n+8=266
Answer: 258,260,262,264,266
Well, to get perimeter, you add the length and width, and then multiply your answer by two. So:
Jerry-
13+12=25
25*2=50
Ruth-
14+11=25
25*2=50
So both rooms are equal.
Hope this helps!!
7.810 Rounded to the nearest thousandth
Answer:
is 0
Step-by-step explanation:
9514 1404 393
Answer:
- sin(θ) = (9√97)/97
- cos(θ) = (-4√97)/97
- csc(θ) = (√97)/9
- sec(θ) = (-√97)/4
- cot(θ) = -4/9
Step-by-step explanation:
The angle is in the 2nd quadrant, where the sine is positive and the cosine is negative.
tan^2(θ) +1 = sec^2(θ) = (-9/4)^2 +1 = 97/16 ⇒ sec = -(1/4)√97
cot(θ) = 1/tan(θ) = -4/9
csc^2(θ) = cot^2(θ) +1 = (-4/9)^2 +1 = 97/81 ⇒ csc = (1/9)√97
sin(θ) = 1/csc(θ) = (9√97)/97
cos(θ) = 1/sec(θ) = (-4√97)/97