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Oliga [24]
3 years ago
5

What is the greatest common factor Of 60 45 and 75

Mathematics
2 answers:
cluponka [151]3 years ago
4 0

Answer:

<em>The </em><em>greatest </em><em>common </em><em>factor </em><em>of </em><em>6</em><em>0</em><em>,</em><em> </em><em>4</em><em>5</em><em> </em><em>and </em><em>7</em><em>5</em><em> </em><em>is </em><em>1</em><em>5</em><em> </em><em>.</em>

kakasveta [241]3 years ago
3 0

Answer:

15 is the greatest common factor

Step-by-step explanation:

In the attached file

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Tan theta is equal to 2- cos theta find the value of sin theta​
artcher [175]

Answer:

sqrt(2)/2

Step-by-step explanation:

Given tan(x)=2-cot(x), find sin(x).

Rewrite in terms of sine and cosine:

sin(x)/cos(x)=2-cos(x)/sin(x)

Multiply both sides by cos(x)sin(x):

sin^2(x)=2sin(x)cos(x)-cos^2(x)

Rewrite cos^2(x) using the identity sin^2(x)+cos^2(x)=1:

sin^2(x)=2sin(x)cos(x)-(1-sin^2(x))

Distribute:

sin^2(x)=2sin(x)cos(x)-1+sin^2(x)

Subtracting sin^2(x) on both sides:

0=2sin(x)cos(x)-1

Add 1 on both sides:

1=2sin(x)cos(x)

Use identity sin(2x)=2sin(x)cos(x) to rewrite right:

1=sin(2x)

Since sin(pi/2)=1, then 2x=pi/2.

Dividing both sides by 2 gives x=pi/4.

So sin(pi/4)=sqrt(2)/2

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3 years ago
Can you help match the correct graph with this equation -0.2x-0.6y=0.12
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4 years ago
Which of the following represents the additive inverse of 125? A. -(-125) B. 125 C. -125 D. 1/25
Elden [556K]

Additive inverse of 125 is – 125, option C is correct.

<u>Solution:</u>

Given that , a number is 125

We have to find the additive inverse for the above given number from the above given set of options.

Now, we know that, <em>sum of a number and its additive inverse equals to 0. </em>

So, let us check option by option.

<em><u>Option A:</u></em>

Given number is -(-125)

-(-125) ⇒ 125 + ( - ( - 125 ) )  

⇒ 125 + 125  

⇒ 250 ⇒ wrong option

<em><u>Option B:</u></em>

Given number is 125

⇒ 125 + 125 ⇒ 250 ⇒ wrong option

<em><u>Option C:</u></em>

Given number is -125

125 + ( - 125 ) ⇒ 125 – 125  ⇒ 0 ⇒ correct option

Hence, additive inverse of 125 is – 125, option C is correct

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