There are 16 possible hands.
Choosing 3 aces from 4 possible is expressed by:

Choosing 1 queen from 4 possible is expressed by:

This gives us 4*4 = 16 possible hands.
Answer:
x = 7, arc DE = 198°
Step-by-step explanation:
Inscribed angles from the same arc are congruent.
∠ DCE and ∠ DWE are inscribed angles from the same arc DE , thus
12x + 15 = 3x + 78 ( subtract 3x from both sides )
9x + 15 = 78 ( subtract 15 from both sides )
9x = 63 ( divide both sides by 9 )
x = 7
Thus
∠ DCE = 12x + 15 = 12(7) + 15 = 84 + 15 = 99°
The inscribed angle DCE is half the measure of its intercepted arc, thus
arc DE = 2 × 99° = 198°
The radius of the silo is the distance from its center to the outside wall
The radius of the silo is 7 3/8" or 7 3/8 inches
<h3>How to determine the radius?</h3>
From the question, we have the following parameters:
- Length of strut = 10'
- Outside diameter of silo = 14 3/4"
The radius is then calculated as:
Radius = 0.5 * Diameter
This gives
Radius = 0.5 * 14 3/4"
Evaluate the product
Radius = 7 3/8"
Hence, the radius of the silo is 7 3/8" or 7 3/8 inches
Read more about radius at:
brainly.com/question/1029327
The variable "x" equals 7