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Zina [86]
3 years ago
15

An encyclopedia has eight volumes. In how many ways can the eight volumes be replaced on the shelf? Explain.

Mathematics
1 answer:
aev [14]3 years ago
7 0
Imagine there are 8 spots on the shelf. Replace the volumes one by one. The first volume to be replaced could go in any one of the eight spots. The second volume to be replaced could then go in any one of the seven remaining spots. The third volume to be replaced could then go in any one of the six remaining spots. etc So the total number of ways the eight volumes could be replaced = 8! = 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 = 40,320
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PSYCHO15rus [73]

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8 0
3 years ago
ANSWER PLEASE !!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!
9966 [12]

Answer:

62 degrees

Step-by-step explanation:

First, it is important to note that all three angles in a triangle add up to be 180 degrees, and if you draw a straight line extending off the side of a triangle, the outside angle and the inside angle are supplementary (they add to be 180 degrees). So,(3x+3)+(2x+4)-180=measure angle F, and 180-(7x-5)=measure angle F according to the rules respectively. Since both of these equations are equal (they both equal the measure of angle F) we can set them equal to each other to find the value of x=> 180-(7x-5)=(3x+3)+(2x+4)-180=> 180-7x-5=3x+3+2x+4-180. Now combine like terms=>175-7x=5x-173. Now, add 7x to both sides and add 173 to both sides to get the variables on one side of the equation=> 175+173-7x+7x=5x+7x-173+173 (the 7x and -7x on the left side and the 173 and -173 on the right side cancel out) =>348=12x. Divide both sides by twelve to find x=> 29=x. Now, plug 29 into what is given for angle FDE=> 2(29)+4=

58+4=

62 degrees

5 0
3 years ago
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