Sum = n/2[2a + (n - 1)d] where a = first term, n = number of terms and d = common difference
(a) 30/2(2 x 5 + (30 - 1) x d) = 1455
10 + 29d = 1455 / 15
29d = 97 - 10
d = 87 / 29 = 3
(b) 7/2(2 x 9 + (7 - 1)d) = 0
18 + 6d = 0
6d = -18
d = -3
Lbs : 4, 8, 12, 16
cost : 6, 12, ?, 24
12 lbs would cost u $ 18 because the apples cost (6/4) = 1.50 per lb
Answer:
c. 3.5 because the difference between both triangles is 1 cm so 4.5 - 1 = 3.5
Step-by-step explanation:
Answer:
Approximately mMK is 53 degrees
Step-by-step explanation:
Here, we want to find the length of MK
As we can see, we have a right triangle at LNK
so
let us find the angle at L first
9 is adjacent to the angle at L and also, 15 is the hypotenuse of the angle at L
so the trigonometric identity that connects adjacent to the hypotenuse is the cosine
It is the ratio of the adjacent to the hypotenuse
So;
cos L = 9/15
L = arc cos (9/15)
L = 53.13 degree
Approximately, L = 53 degrees
so now, we want to get the arc length MK
We are to use the angle-arc relationship here
Using this; arc length MK is equal to the measure of L at the center which is 53 degrees
Answer:
The dime hits the ground after 8 sec.
Step-by-step explanation:
Set h(t) = -16t^2 + h(0) equal to 0: -16t^2 + 1,024 ft = 0, or:
16t^2 = 1,024 ft, or:
t^2 = 64 ft^2
Then t = +8 sec
The dime hits the ground after 8 sec.
