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2 years ago

Please can someone prove this equation

Mathematics

1 answer:

zubka84 [21]2 years ago

6 0

Answer:

see explanation

Step-by-step explanation:

Using the trigonometric identity

sin²x + cos²x = 1

Consider the left side

2cos²A - 1 ← replace 1 by sin²A + cos²A

= 2cos²A - ( sin²A + cos²A)

= 2cos²A - sin²A - cos²A

= cos²A - sin²A = right side ⇒ verified

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chubhunter [2.5K]

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3 years ago

Read 2 more answers

Find the value of y.

Leno4ka [110]

Answer:

$\sqrt{55}$

Step-by-step explanation:

Based off of what we do know, if we can find length DB we can use the pythagorous theorem (I will be assigning the variable z)

$x^{2} =36+z^{2} \\\\y^{2}=25+z^2\\\\x^{2} +y^2=121\\\\$

First equation is for triangle ABD

Second is for BCD

And the last one is for ACD

Substitute $x^{2}$ and $y^2$

$36+z^2+25+z^2=121\\\\61+2z^2=121\\\\2z^2=60\\\\z^2=30\\\\z=\sqrt{30}$

As discovered before

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8 0

3 years ago

Is 4/16 equivalent to 0.25 and explain

egoroff_w [7]

Yes because if you do 4÷16 it is .25.
Hope it helps. If it doesn't comment on the bottom. I'll try to explain it more

7 0

3 years ago

N the function y = 12.00x + 50, y represents the cost of carpet by the square yard and x represents the number of square yards.

borishaifa [10]

Answer:

The cost increase for each square of carpet by 12.

Step-by-step explanation:

The given function is

$y=12.00x+50$

It is a slope intercept form of the line

$y=mx+b$

Where m is the slope and b is y-intercept.

Therefore the slope of given function is 12 and the y-intercept is 50.

It means the initial ot fixed cost of the carpet is 50 and the cost increased by 12 for each square of carpet.

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3 years ago

If the shape of an object changes the perimeter will always change true or false

Ugo [173]

The answer is false due to the object is changes shape not size

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3 years ago