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SSSSS [86.1K]
3 years ago
12

h.) How many different ways can Johnny place an algebra book, a geometry book, a chemistry book, an English book, and a health b

ook on a shelf?​
Mathematics
1 answer:
Nady [450]3 years ago
7 0

Answer:

5!

Step-by-step explanation:

take algebra book. it can be placed first or 2nd or 3rd or 4th or last. so 5 different ways. but geometry book will be arranged in 4 ways, since algebra book is already arranged.

5p5

5!/0!= 5! = 120

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Need help with this math problem
ladessa [460]

Answer:

m<1: 51

m<2: 61

m<3: 29

Step-by-step explanation:

m<1 = 51, because to find the 3rd angle, you need to add the other two angles and then subtract 180 from that answer.

61 + 68 = 129

180 - 129 = 51

m<2 = 61, because it's a vertical angle, meaning that the angle that's opposite to it exactly, is the same. So since the angle opposite to m<2 is 61, that's what the answer would be.

m<3 = 29, because all you need to do is add 90 and 61, and then subtract 180 by the answer. I got 90 as one of the angle measurements because there's a right triangle, meaning it's 90. Then since we already know what angle 2 is (61) then all you need to do is add:

90 + 61 = 151

Then subtract:

180 - 151 = 29

8 0
4 years ago
Verify csc^2t-cos t sect= cot^2 t
slega [8]

Rewriting the left hand side,

csc²t - cost sec t

= (1/sin²t)-(cost)(1/cost)

= 1/sin²t - 1

= 1/sin²t - sin²t/sin²t

= (1-sin²t)/sin²t

= cos²t/sin²t

= cot²t

4 0
2 years ago
5/4÷1/3 please help ​
otez555 [7]

Answer:

3.75 Or 15/4

 

6 0
4 years ago
Read 2 more answers
If you could count $1 per second, how many years would it take to count a 1 billion
pogonyaev
I do believe it's 273,972 years.
6 0
4 years ago
4.
777dan777 [17]

Answer:

252

Step-by-step explanation:

Types of main courses available = 9

Types of drinks offered = 7

Types of deserts = 4

Number of different meals consisting of a main course, a drink and a desert offered

Using the combination rule :

9C1 * 7C1 * 4C1

nCr = n! ÷ (n-r)!r!

So using calculator we obtain :

9 * 7 * 4 = 252

6 0
3 years ago
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