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liberstina [14]
3 years ago
15

40% of students play an instrument if 8 represents the amount of students who play an instrument how many students are in this c

lass
Mathematics
1 answer:
qwelly [4]3 years ago
6 0

Answer:

500 students

Step-by-step explanation:

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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
I need help on this geometry question pls help
Nesterboy [21]
If P is the circumcenter of ABC then
PA = PB = PC
6x - 28 = 38
6x = 66
  x = 11

answer
x = 11
m<D = 90 degrees
3 0
4 years ago
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Complete the following sentences: 7. In 49 is the base and is the exponent. 8.72 is the exponential form of 7*___ Rewrite each o
serg [7]

Answer:

the 4 is the base and the 5 is the exponent

7^2 is the exponential form of 7*7

10^2

5^4

8 0
3 years ago
How do you do simplify this -9 -11
zheka24 [161]

Answer:

-9 + -11=-20

Step-by-step explanation:

Since subtracting is the same as addition of the oppositie, just putting a negative symbol is easier because you are only working with negative numbers, instead of one negative and one positive.

Did that help?

7 0
3 years ago
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Mr. Hill's farm is 126 acres. Mr. Hill's farm is 1/4 the size of Mr. Miller's farm. How many acres is Mr. Millers farm?
3241004551 [841]
126 = 1/4* M  Multiplies both sides by 4:  504 = M
4 0
3 years ago
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