Answer:
There are 795 combinations.
Step-by-step explanation:
The number of ways or combinations in which we can select k element from a group of n elements is given by:
So, if Miriam want to choose 3 movies with at least two comedies, she have two options: Choose 2 comedies and 1 foreign film or choose 3 comedies.
Then, the number of combinations for every case are:
1. Choose 2 Comedies from the 10 and choose 1 foreign film from 15. This is calculated as:
2. Choose 3 Comedies from the 10. This is calculated as:
Therefore, there are 795 combinations and it is calculated as:
675 + 120 = 795
Answer:
Step-by-step explanation:
<u>Use the Pythagorean theorem:</u>
<u>Verify this for each line:</u>
1.
- 28² + 45² = 53²
- 2809 = 2809
- Yes
2.
- 33² + 56² = 64²
- 4225 ≠ 4096
- No
3.
- 36² + 77² = 85²
- 7225 = 7225
- Yes
For the first one write 9 divided by 2 gives your your radius an it’s 3.5. the formula is 2 x 3.14 x radius and that gives you 21.98.
the 2nd one is 2 x 3.14 x 9 = 56.52
the 3rd is 2 x 3.14 x 5= 31.4
formula is always 2 x 3.14 (or pie) x radius
to get your radius from your diameter you do your diameter divided by 2
Answer:
The measure of the missing angle is 90°
Step-by-step explanation:
∵ This figure is a quadrilateral
∴ the sum of measures of its angles = 360°
∴ m∠x = 360 - 107 - 72 - 91 = 90°
Answer:
C. 10in 24in 26in
Step-by-step explanation:
Right Scalene Triangle
Side a = 24
Side b = 10
Side c = 26
Angle ∠A = 67.38° = 67°22'48" = 1.17601 rad
Angle ∠B = 22.62° = 22°37'12" = 0.39479 rad
Angle ∠C = 90° = 1.5708 rad = π/2
Area = 120
Perimeter p = 60
Semiperimeter s = 30
Height ha = 10
Height hb = 24
Height hc = 9.23077
Median ma = 15.6205
Median mb = 24.5153
Median mc = 13
