The correct answer is: 330
Explanation:
The formula for combination is given as follows:
--- (1)
Where n = 11
r = 4
Plug in the values in equation (1) and calculate:

Hence the correct answer is 330.
56.57
Explanation:
In the process,
Diameter= 18,
Radius(r)=
18
2
∴
Radius= 9
Now,
Circumference (Perimeter) = ?
According to the formula,
Perimeter= 2
×
22
7
×
r
Taking the equation,
Perimeter= 2
×
22
7
×
r
2
×
22
7
×
9
396
7
56.57142857
56.57
Let's hope this helps you:)
Answer:
Alternate Interior angles
Explanation: Usually an angle of elevation is less than or equal to 90°. ... As a result the angles of elevation and depression are alternate (interior) angles. Since the transversal intersects two parallel lines, and alternate interior angles are congruent, the angle of elevation and angle of depression must also be congruent.
For ABC:
The interior angle of C is 180 - 142 = 38
The three interior angles add up to 180°
(2x - 15) + (x - 5) + 38 = 180
3x - 20 + 38 = 180
3x + 18 = 180
3x = 162
x = 54
The measure of angle ABC = x - 5 = 54 - 5 = 49
For JKL:
The interior angle of L is 180 - 100 = 80°
The 3 interior angles add up to 180°
(2x + 27) + (2x - 11) + 80 = 180
4x + 16 + 80 = 180
4x + 96 = 180
4x = 84
x = 21
The measure of angle JKL is 2x - 11 = 2(21) - 11 = 42 - 11 = 31°
Answer:
343
Step-by-step explanation:
7^3=7×7×7=343
If e is equal to 7 just multiply 7 by 7 and then multiply that answer by 7 to find 7 to the power of 3.