Answer:
19.08
Step-by-step explanation:
c² = a² + b² - 2ab×cos(C)
a=10
b=22
C=60
cos(60) = 0.5
c² = 10² + 22² - 2×10×22×cos(60) =
= 100 + 484 - 20×22×0.5 = 584 - 20×11 = 584 - 220 =
= 364
c = sqrt(364) ≈ 19.08
Answer:
-5.7n + 11.3
Step-by-step explanation:
3.3 - 3.7n - 2n + 8 = -3.7n - 2n + 3.3 + 8 = -5.7n + 11.3
Answer:
y = 9
Step-by-step explanation:
1) Multiply both sides by 3.
3 × 3 = y
2) Simplfiy 3 × 3 to 9.
9 = y
3) Switch sides.
9
Answer:
Step-by-step explanation:
Prove: That the sum of the squares of 4 consecutive integers is an even integer.
An integer is a any directed number that has no decimal part or indivisible fractional part. Examples are: 4, 100, 0, -20,-100 etc.
Selecting 4 consecutive positive integers: 5, 6, 7, 8. Then;
= 25
= 36
= 49
= 64
The sum of the squares = 25 + 36 + 49 + 64
= 174
Also,
Selecting 4 consecutive negative integers: -10, -11, -12, -13. Then;
= 100
= 121
= 144
= 169
The sum of the squares = 100 + 121 + 144 + 169
= 534
Therefore, the sum of the squares of 4 consecutive integers is an even integer.
So I can show you on a piece of paper
It’s reflections
Hope this helps *smiles*