Answer: 72
Step-by-step explanation:
From the question, we are informed that a disc jockey can play 7 records and that there are 9 records to select from for a particular segment of a radio show.
The number of ways that the program for the segment be arranged will be:
= 9! / 7!
= (9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1) / (7 × 6 × 5 × 4 × 3 × 2 × 1)
= 9 × 8
= 72
REVISED
Answer:
x = 15.33
Step-by-step explanation:
3y is equal to 2x + 13. The reason why is because they are corresponding angles, (right next to each other). From there, you would have to substitute y into 3y. The equation should look like: 3(23) = 2x + 13. All that is left is to solve for x.
Answer: 35 degrees.
Step-by-step explanation: HF and GH are congruent to each other. That means angle F and angle G are the same as well (since those are the angles opposite the sides). If angle G is 35, angle f is also 35.
Answer:
Step-by-step explanation:
Given:
180°<θ<270° and 
We know for any angle 
,
∴
Answer:
174 square centimetres
Step-by-step explanation:
The formula for finding the surface area of a rectangular prism is
SA = 2LW + 2LH + 2HW
Therefore surface area will be
= 2(11*5) + 2(11*2) +2(2*5)
= 2 * 55 + 2 * 22 + 2 * 10
= (110 + 44 + 20) square cm
Which gives you 174 square centimetres.
