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Darina [25.2K]
3 years ago
15

A page was missing from a 72 - page book. When Josh added up the remaining page numbers, the sum was 2521. Which page was missin

g?
​
Mathematics
1 answer:
morpeh [17]3 years ago
8 0
The numbers 1 to 72 add up to (1+72) x 72/2 = 73 x 36 = 2628
If we take away what Josh got we have 2628 - 2521 = 107
Pages in a book are odd on the first side and even on the second, so pages 11 and 12 are on the same sheet.
107 / 2 = 53.5 so the missing page had 53 on one side and 54 on the other side.
The remaining pages would have been numbered 1, 2, 3, ..., 51, 52, 55, 56, ... 71, 72
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The area of a rectangle is 44 square units. Its length measures 4 units. Find the length of its diagonal. Round to the nearest t
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Answer:

√(137)

Step-by-step explanation:

First, you will need to find the other side length.....then you can use the Pythagorean Theorem to find the diagonal:

L x W = 44

4 x W = 44

W =11

Now the Pythag, Theorem:

 diagonal^2 = 4^2 + 11^2

        d^2 = 16+121

         d^2 = 137

          d = √(137)

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2 years ago
Which statement is true about the sum of (5y/y^2)+(y-4/5y) ? A: The denominator of the simplified sum is y2 + 5y. B: The denomin
lora16 [44]

Answer:

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Step-by-step explanation:

7 0
3 years ago
Joanie watched 1 out of three of a movie in the morning
Archy [21]

Answer:

7/15

Step-by-step explanation:

Determine how much she has watched.

1/3 + 1/5 The common denominator of 3 and 5 is 15. Multiply each fraction by an amount that will make the denominator 15

1/3 = 1*5/(3*5) = 5 / 15

1/5 = 1*3 / (5*3) = 3/15

Now add the two fractions together.

5/15 + 3/15 = 8/15

What is left of the movie? The whole movie = 1 so that which is left is

1 - 8/15

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Use the drop-down menus to label the graph according to its type.
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Step-by-step explanation:

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3 years ago
A floor is made up of 20 triangular tiles, each with sides 40 cm, 24 cm and 32 cm. Find the cost of polishing the floor at the r
pochemuha

Answer:

15360\,\,rupees

Step-by-step explanation:

Let sides of the triangle be a,b,c

a=40\,,\,b=24\,,\,c=32

Semi-perimeter (s) = \frac{a+b+c}{2}

=\frac{40+24+32}{2}\\ =\frac{96}{2}\\=48

Area of one tile =\sqrt{s(s-a)(s-b)(s-c)}

=\sqrt{48(48-40)(48-24)(48-32)}\\ =\sqrt{48(8)(24)(16)}\\ =\sqrt{147456} \\=384\,\,cm^2

So,

Area of 20 tiles =20(384)=7680\,\,cm^2

Cost of polishing the floor at the rate of 2 rupees per sq.cm = 7680(2)=15360\,\,rupees

7 0
3 years ago
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