Answer:
b. 70
Step-by-step explanation:
The Binomial Coefficient can be used to calculate the number of ways objects can be arranged.
<u>Binomial Coefficient</u>
The exclamation mark "!" placed after a number means factorial and indicates to multiply all whole numbers from the given number down to 1.
Example: 4! = 4 × 3 × 2 × 1
The Binomial Coefficient gives us the number of ways of picking "r" unordered outcomes from "n" possibilities.
As there are 8 friends ⇒ n = 8.
As each car takes 4 friends ⇒ r = 4.
Substitute these values into the formula:
Learn more about the binomial coefficient here:
brainly.com/question/27802390
brainly.com/question/27800539
Answer:
z = 10°
Step-by-step explanation:
Since the two sides are equal, the two base angles have to be equal
That means that 5z and 130 form a straight line and add to 180 degrees
5z+130 = 180
Subtract 130 from each side
5z = 50
Divide by 5
5z/5 = 50/5
z=10
Answer:
Option D (7).
Step-by-step explanation:
The formula for gradient of the straight line is given by:
m = (y2 - y1)/(x2 - x1); where (x1, y1) and (x2, y2) are two fixed points on the straight line. It is given that (x1, y1) = (4, r) and (x2, y2) = (r, 2). The gradient of the straight line is given by -5/3. To find the value of r, simply substitute all the values in the gradient equation. Therefore:
-5/3 = (2 - r)/(r - 4).
Cross Multiplying:
-5*(r - 4) = 3*(2 - r).
-5r + 20 = 6 - 3r.
-2r = -14.
r = 7.
Therefore, Option D is the correct answer!!!
The correct answer is the One fired from from 60° . This is because the projectile fired from 60° has a greater vertical velocity compared to the one fired from 30° and therefore spends more time on air. Vertical velocity is the velocity of a body as it moves upwards, it is normally affected by the gravitational acceleration, however it is not affected by the horizontal velocity.
