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3 years ago

last year she had 12 records in her collection. now she has 15. what is the percent increase of her collection

Mathematics

1 answer:

pochemuha3 years ago

7 0

Answer:

Her percent increase would be 25%.

Step-by-step explanation:

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Using the law of cosines, write an algebraic proof to show that the angles in an equilateral triangle must equal 60°. Use "∧" to

bekas [8.4K]

The algebraic proof shows that the angles in an equilateral triangle must equal 60° each

<h3>Laws of cosines </h3>

From the question, we are to use the law of cosines to write an algebraic proof that shows that the angles in an equilateral triangle must equal 60°.

Given any triangle ABC, the measures of angles A, B, and C by the law of cosines are

cos A = (b^2 + c^2 - a^2)/2bc

cos B= (a^2 + c^2 - b^2)/2ac

cos C = (a^2 + b^2 - c^2)/2ab

Now, given that the triangle is equilateral, with each of the side lengths equal to s

That is, a = b = c = s

Then, we can write that

cos A = (s^2 + s^2 - s^2)/(2s×s)

cos A = (s^2 )/(2s^2)

cos A = 1/2

cos A = 0.5

∴ A = cos⁻¹(0.5)

A = 60°

Also

cos B = (s^2 + s^2 - s^2)/(2s×s)

cos B = (s^2 )/(2s^2)

cos B = 1/2

cos B = 0.5

∴ B = cos⁻¹(0.5)

B = 60°

and

cos C = (s^2 + s^2 - s^2)/(2s×s)

cos C = (s^2 )/(2s^2)

cos C = 1/2

cos C = 0.5

∴ C = cos⁻¹(0.5)

C = 60°

Thus,

A = 60°, B = 60° and C = 60°

Hence, the algebraic proof above shows that the angles in an equilateral triangle must equal 60° each.

Learn more on The law of cosines here: brainly.com/question/2866347

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2 years ago

F(x)=(x-2)(x+4) what is the y-intercept and x-intercept

GarryVolchara [31]

Answer:

x-int=-8, y-int=2,-4

Step-by-step explanation:

for the x-int

you set x to 0 then solve the equation to get -8

for the y-int

you set y(or in this case f(x)) to 0 then solve. You solve this by spilting this into 2 linear equations; x-2=0 and x+4=0, then you solve them both to get the two y-intercepts, 2 and -4

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3 years ago

Joe has eaten 4/5 0f a pizz. jane has eaten 1/6 of a pizza how many times more pizza has joe eaten than jane

Svetradugi [14.3K]

Joe will have eaten 24/30
Jane will have eaten 5/30
24 / 5 = 4.8
Joe has eaten 4.8 times as much pizza as Jane.

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3 years ago

YOU WILL GET BRAINLIST!!!!!!!! Rewrite the following mixed number as a decimal. 17 35/50

sladkih [1.3K]

Answer:

17.7

Step-by-step explanation: