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Stella [2.4K]
3 years ago
15

How many even numbers are there between 1 to 540

Mathematics
2 answers:
Diano4ka-milaya [45]3 years ago
6 0
To find the number of even factors, we can multiply the number of odd factors by the power of 2 (not the power of 2 + 1!!!). For 540, we have (3 + 1)(1 + 1)(2) = 16 even factors.
irina [24]3 years ago
3 0

Answer:

271

Step-by-step explanation:

The count of even numbers between 0 and n is [n/2] + 1. 

540/2=270

270+1=

271

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Prove the trigonometric identity
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Answer:

Proved See below

Step-by-step explanation:

Man this one is a world of its own :D Just a quick question are you a fellow Add Math student in O levels i remember this question from back in the day :D Anyhow Lets get started

For this question we need to know the following identities:

1+tan^{2}x=sec^2x\\\\1+cot^2x=cosec^2x\\\\sin^2x+cos^2x=1

Lets solve the bottom most part first:

1-\frac{1}{1-sec^2x} \\\\

Take LCM

1-\frac{1}{1-sec^2x} \\\\\frac{1-sec^2x-1}{1-sec^2x} \\\\\frac{-sec^2x}{1-sec^2x} \\\\\frac{-(1+tan^2x)}{-tan^2x}

now break the LCM

\frac{-1}{-tan^2x}+\frac{-tan^2x}{-tan^2x}\\\\\frac{1}{tan^2x}+1\\\\cot^2x+1

because 1/tan = cot x

and furthermore,

cot^2x+1\\cosec^2x

now we solve the above part and replace the bottom most part that we solved with cosec^2x

\frac{1}{1-\frac{1}{cosec^2x} } \\\\\frac{1}{1-sin^2x} \\\\\frac{1}{cos^2x}\\\\sec^2x

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4 0
3 years ago
The expression 3t gives the number of tickets a player wins if he shoots the ball in the hoop t times. How many tickets would a
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Answer: 48 tickets

Step-by-step explanation:

Since the expression that gives the number of tickets a player wins if he shoots the ball in the hoop t times is expressed as 3t.

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= 3t

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Therefore, 3t = 3 × 16 = 48

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Which transformation(s) preserve the size & shape of the pre-image?
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HELP ASAP!! LOTS OF POINTS!! WILL MARK BRIAN-LIST
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Answer:

LSA = 532 yds ^2

Step-by-step explanation:

We do not add the triangles in because they are the bases and the bases do not get added in the lateral surface areas.

From left to right

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Rectangle 2

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Rectangle 3

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Add them together

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532

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3 years ago
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