Answer:
11 13 15 17 19
Step-by-step explanation:
We will solve this word problem using 2k+1 which is one of the general forms of an odd integer.
Let 2k+1 be the first odd integer.
(2k+1) + (2k+3) + (2k +5) = (2k+7) + (2k +9) + 3 (the +3 is to accommodate for the left side being 3 more than the right)
Solve for k
6k + 9 = 4k + 19
6k - 4k + 9 = 4k-4k + 19
2k + 9 = 19
2k + 9 - 9 = 19 - 9
2k = 10
2k/2 = 10/2
k = 5
To get the first digit in the series plug in 5 for k
2k+1
2(5) + 1
10 + 1 = 11
So our series is 11, 13, 15, 17, 19
Let's test it.
11 + 13 +15 = 39
17 + 19 = 36
So we are correct, the first 3 integers are 3 more that the sum of the last 2.
Answer:
B (8)
Step-by-step explanation:
AB = BC = AC
AB = BC
x+5 = 3x-1
6 = 2x
x = 3
BC = 3x-1 = 3*3 - 1 = 8
sin 40° = 0.6428
<u>Step-by-step explanation:</u>
The complementary ratio of sine is cos and vice-versa.
sin θ = cos (90 - θ)
cos θ = sin (90 - θ)
So cos 50° = sin (90 - 50)°
= sin 40°
sin 40° = 0.6428
This indicates that the complement of cos 50° is sin 40° which is equal to 0.6428.
Answer:
dividend is 8
divisor = 2
quotient =4
Step-by-step explanation:
dividend ÷ divisor = quotient.
8 ÷ 2 = 4.
dividend is 8
divisor = 2
quotient =4
Let the angle be x, supplementary angle be 44x.
x+44x=180°
x=4
The angle is 4°, supp angle is 176°