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marusya05 [52]
3 years ago
12

Carlos snuck into Mr. Saleeba's classroom one morning and ate half of Mr. Saleeba's donuts. Carlos then decided he was still hun

gry and ate one more. Later, Mr. Saleeba opened the donut box and accidentally dropped half of the remainig donuts. Afterwards, there were only 6 donuts left. How many donuts did Mr. Saleeba have before carlos ate any?
Mathematics
2 answers:
RUDIKE [14]3 years ago
5 0
If Carlos eat half of the donuts and there was 6 left then do 6×2 and add one because he decided to eat one more donut.

Mr. Saleeba had 13 donuts
neonofarm [45]3 years ago
4 0

Answer:

wow carlos is fat

Step-by-step explanation:

h

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Given:

\cos^4 \alpha+\sin^4\alpha=\dfrac{1}{4}(3+\cos 4 \alpha)

To prove:

The given statement.

Proof:

We have,

\cos^4 \alpha+\sin^4\alpha=\dfrac{1}{4}(3+\cos 4 \alpha)

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LHS=(\cos^2 \alpha)^2+(\sin^2 \alpha)^2

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RHS=\dfrac{1}{4}[3+(2\cos^2 2\alpha-1)]        [\because \cos 2\theta=2\cos^2\theta -1]

RHS=\dfrac{1}{4}[2+2\cos^2 2\alpha]

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RHS=\dfrac{1}{4}[2+2(4\cos^4 \alpha-4\cos \alpha+1)]        [\because (a-b)^2=a^2-2ab+b^2]

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RHS=\dfrac{1}{4}[4+8\cos^4 \alpha-8\cos \alpha]

RHS=1+2\cos^4 \alpha-2\cos \alpha

RHS=1-2\cos^2 \alpha+2\cos^4 \alpha

LHS=RHS

Hence proved.

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