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4 years ago

A magazine has 96 pages. There are ads on 75% of the pages. How many pages don't have ads?

Mathematics

1 answer:

abruzzese [7]4 years ago

4 0

Hey there! :)

Answer:

24 pages.

Step-by-step explanation:

Calculate how many pages 75% of 96 is:

96 × 0.75 = 72 pages.

Find how many pages do not have ads by subtracting the amount that have ads from the total:

96 - 72 = 24 pages.

Therefore, 1/4 of 96 or 24 pages do not have ads.

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Angad was thinking of a number. Angad adds 11, then divides by 8 to get an answer of 5. What was the original number?

galben [10]

Answer:

Step-by-step explanation:

x+11÷8=5

5 × 8 = 40

40- 11 = 29

29 + 11 ÷ 8 =5

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3 years ago

Show that √(1-cos A/1+cos A) =cosec A - cot A

Gennadij [26K]

Hi there!

$\sqrt{\frac{1-cosA}{1+cosA}} =$

We can begin by multiplying by its conjugate:

$\sqrt{\frac{1-cosA}{1+cosA}} * \sqrt{\frac{1+cosA}{1+cosA}} = \\\\\sqrt{\frac{(1-cosA)(1 + cosA)}{(1+cosA)(1 + cosA)}} =$

Simplify using the identity:

$1 - cos^2A = sin^2A$

$\sqrt{\frac{(1-cos^2A)}{(1+cosA)^2}} =\\\\\sqrt{\frac{(sin^2A)}{(1+cosA)^2}} =$

Take the square root of the expression:

${\frac{sinA}{1+cosA} =$

Multiply again by the conjugate to get a SINGLE term in the denominator:

${\frac{sinA}{1+cosA} * {\frac{1-cosA}{1-cosA} =\\$

Simplify:

${\frac{sinA(1-cosA)}{1-cos^2A} =$

Use the above trig identity one more:

${\frac{sinA(1-cosA)}{sin^2A} =$

Cancel out sinA:

${\frac{(1-cosA)}{sinA} =$

Split the fraction into two:

${\frac{1}{sinA} - \frac{cosA}{sinA} =$

Recall:

$1/sinA = cscA\\\\cosA/sinA = cotA$

Simplify:

$\frac{1}{sinA} + \frac{cosA}{sinA} = \boxed{cscA - cotA}$

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2 years ago

Please help y - (-10) = 12 <br> y = ______

kotykmax [81]

Subtracting a negative means that you will add the number. Convert the symbols to get the following:

y + 10 = 12

Subtract 10 from both sides.

y = 2

3 0

3 years ago

Need the answer for x and y

d1i1m1o1n [39]

Answer:

x = 7°

y = 10°

Step-by-step explanation:

7x = 49

x = 7°

180 = 13y + 1 + 49

combine like terms:

13y = 130

y = 10°

8 0

3 years ago

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irina1246 [14]

45÷50=90%
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3 years ago

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