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IrinaVladis [17]
3 years ago
12

A ramp is elevated to a height of 27 inches from the base. The horizontal distance between the lower end of the ramp and the bas

e is 69 inches, as shown in the figure. What is the length of the ramp?
Mathematics
1 answer:
vichka [17]3 years ago
8 0

Answer:

74.09453421...

Step-by-step explanation:

Pythagorean Theorem

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The perimeter of a rectangular swimming pool is 414 meters. The length of the pool is 7 meters more than four times the width. F
PolarNik [594]

Answer:

Width = 40 meters

Length = 167 meters

Step-by-step explanation:

Let

Width of the pool = x meters

Then

Length of the pool = 4x + 7 meters

and

Perimeter =2(x+4x+7)=2(5x+7)=10x+14 meters

Hence,

10x+14=414\\ \\10x=414-14\\ \\10x=400\\ \\x=40\ meters\\ \\4x+7=4\cdot 40+7=167\ meters

5 0
3 years ago
Is 64 inches greater than less than or equal to 5 feet
pantera1 [17]
64 inches is greater than 5 feet. 
64 inches equals 5.33333 feet. 

I hope this helps :)
6 0
4 years ago
Read 2 more answers
Amelia started a puzzle at 12:56 p.m. and solved it at 2:33 p.m.
QveST [7]

Step-by-step explanation:

12:56pm to 1:00pm = 4 min

1:00pm to 2:00pm = 1 hour

2:00pm to 2:33pm = 33 min

Total time = 4 min + 1 hour + 33 min = 1 hour 37 minutes.

5 0
3 years ago
In how many ways can 5 different novels, 4 different mathematics books, and 1 biology book be arranged on a bookshelf if
zalisa [80]

Question Continuation:

if   (a) the books can be arranged in any order?  

(b) the mathematics books must be together and the novels must be together?

Answer:

(a) 3628800  ways

(b) 17280 ways

Step-by-step explanation:

Given

Novels = 5

Mathematics = 4

Biology = 1

Solving (a): In any order

This implies that there is no restriction and the novels, mathematics and biology book are just seen as books.

Total number of books is:

N = Mathematics + Novel + Biology

N = 4+5+1

N = 10

The number of arrangement is:

10! = 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1

10! = 3628800\ ways

(b):

If the mathematics books are together, there are 4! different  arrangements

If the novels are together, there are 5! different arrangements

Now, there are 3 bundles.

  • The mathematics books as 1
  • The novels as 1
  • The biology book

This can be arranged in 3! ways.

Total number of arrangement is:

Total = 4! * 5! * 3!

Total = 4*3*2*1 * 5*4*3*2*1 * 3*2*1

Total = 17280\ ways

6 0
3 years ago
Hello, I have been needing help for this problem for awhile. Can someone help me please?​
-Dominant- [34]

Answer:

x = 6

Step-by-step explanation:

x =  \sqrt{10 {}^{2} - 8 {}^{2}  }

x =  \sqrt{100 - 64}

x =  \sqrt{36}

x = 6

7 0
3 years ago
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