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Alisiya [41]
3 years ago
7

How much is 1/4 of 1/3 of a chocolate cake

Mathematics
1 answer:
hoa [83]3 years ago
7 0

1/3 ÷1/4 = 1/3 × 1/4 = 1/12

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Prove :<br>sin²θ + cos²θ = 1<br><br><br>thankyou ~​
Gnom [1K]

Answer:

See below

Step-by-step explanation:

Here we need to prove that ,

\sf\longrightarrow sin^2\theta + cos^2\theta = 1

Imagine a right angled triangle with one of its acute angle as \theta .

  • The side opposite to this angle will be perpendicular .
  • Also we know that ,

\sf\longrightarrow sin\theta =\dfrac{p}{h} \\

\sf\longrightarrow cos\theta =\dfrac{b}{h}

And by Pythagoras theorem ,

\sf\longrightarrow h^2 = p^2+b^2 \dots (i)

Where the symbols have their usual meaning.

Now , taking LHS ,

\sf\longrightarrow sin^2\theta +cos^2\theta

  • Substituting the respective values,

\sf\longrightarrow \bigg(\dfrac{p}{h}\bigg)^2+\bigg(\dfrac{b}{h}\bigg)^2\\

\sf\longrightarrow \dfrac{p^2}{h^2}+\dfrac{b^2}{h^2}\\

\sf\longrightarrow \dfrac{p^2+b^2}{h^2}

  • From equation (i) ,

\sf\longrightarrow\cancel{ \dfrac{h^2}{h^2}}\\

\sf\longrightarrow \bf 1 = RHS

Since LHS = RHS ,

Hence Proved !

I hope this helps.

5 0
2 years ago
Please answer !! Thank you so much !!
Goryan [66]
The answer is -12x^4y^4 !
8 0
3 years ago
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The sale price of a laptop is R3 700,00, which is only 65% of the original price. Calculate the original price.​
Mandarinka [93]

The original price of a laptop that is 65% of the sales price is R3 1076923.07692

<h3>How to find the original price when given the percentage?</h3>

The sale price of a laptop is R3 700,00,which is only 65% of the original price.

Therefore,

let

x = original price

Hence,

700, 000 = 65% of x

700,000 = 65 / 100 of x

cross multiply

70000000 = 65x

divide both sides by 65

x = 70000000 / 65

x = 1076923.07692

Therefore, the original price of the laptop is R3 1076923.07692

learn more on original price here: brainly.com/question/13947216

#SPJ1

7 0
2 years ago
How many 1.4 meter sections of rope can be cut from a length of rope 6 meters long?
den301095 [7]
8.4 you mupitly 1.4*6 you will get this answer plz mark brainlest 
4 0
3 years ago
What is the slope of the line whose equation is 12=4x-6y ?
IrinaK [193]

the slope would be -2/3 hope this helps


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4 years ago
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