Answer:
The number of ways in which Sarah's coach can make a batting order that includes all players is:
Step-by-step explanation:
To identify the total number of orders that can be applied to a certain group of objects or individuals, the factorial number is usually used, which is represented by an exclamation point (!), as I will present you below with the 10 players in the softball team:
The factorial number represents, in addition to the total number of orders, the multiplication of all natural numbers less than and equal to the number used, therefore 10! It could be represented in the following way:
- 10! = 1 * 2 * 3 * 4 * 5 * 6 * 7 * 8 * 9 * 10 = <u>3628800</u>
72 students would have a pet.
Divide 162 by 27 to get 6 clusters of student. In those six cluster, every 12 has a pet.
Multiply 12 by 6 to get 72
Use the formula for the area of a triangle.
![\sf A=\frac{1}{2}bh](https://tex.z-dn.net/?f=%5Csf%20A%3D%5Cfrac%7B1%7D%7B2%7Dbh)
![\sf 24=\frac{1}{2}b(4)](https://tex.z-dn.net/?f=%5Csf%2024%3D%5Cfrac%7B1%7D%7B2%7Db%284%29)
Simplify:
![\sf 24=2b](https://tex.z-dn.net/?f=%5Csf%2024%3D2b)
Divide 2 to both sides:
Answer:
∠ XWZ is a right angle.
Step-by-step explanation:
See the given diagram.
In triangle WXZ, WY is an altitude.
So, ∠ WYZ = ∠ XYW = 90°
Now, given that ∠ ZWY = ∠ WXY.
Now, from Δ XYW, since, ∠ XYW = 90° so, ∠ WXY + ∠ YWX = 90° ....... (1)
⇒ ∠ ZWY + ∠ YWX = 90° {Since, ∠ ZWY = ∠ WXY}
⇒ ∠ XWZ = 90°
Therefore, the angle XWZ is right angle. (Answer)