Each question has three possible distinct answers.
Ten questions have 3^10 possible distinct answers sheets.
=>
(3^10)+3 will guarantee that at least 3 answer sheets are identical.
Numerically,
(3^10)+3 = 59049 +3 = 59052
Answer:
7.97%
Step-by-step explanation:
Given data
Original Salary= $32,000
Increase= $2,550.00
percent increase= increase/original *100
Percent increase= 2,550.00/32000*100
Percent increase= 0.0796875*100
Percent increase= 7.97%
Hence the increase is 7.97%
Answer:
p = 32.32; A = 47.91
Step-by-step explanation:
1. Calculate ∠B
∠A + ∠B + ∠C = 180°
60° + ∠B + 45° = 180°
∠B + 105° = 180°
∠B = 75°
2. Find sides BC and AC
We can use the Law of Sines

(i) Find BC

(ii) Find AC

3. Find the perimeter
p = AB + AC + BC = 9 + 12.29 + 11.02 = 32.32
4. Find the area of the triangle
A general formula for the area of a triangle is
A = ½ab sinC
If we use ∠A, the formula becomes
A = ½ × 9 × 12.29 × sin60° = 55.30 × 0.8660 = 47.91
15% of 30....turn ur percent to a decimal...." of " means multiply
0.15(30) = 4.5
30% of 45.....set it up the same way as before
0.30(45) = 13.5
60% of 7
0.60(7) = 4.2
23% of 20
0.23(20) = 4.6
Answer:
Step-by-step explanation:
Hello!
10*17 = > 170 cm²
(3,14 * 8)/4 =>6,28cm²
170 + 6,28 => 176,28cm²