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Anika [276]
3 years ago
13

Pls help me on area of polygons

Mathematics
1 answer:
Simora [160]3 years ago
7 0

Answer:4

Step-by-step explanation:

hoped this helped

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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
research suggests that the probability of a certain fuse malfunctioning increases exponentially as the concentration of an impur
Gennadij [26K]
Given that the probability <span>is modeled by the function
y=3(257,959)^x[tex]  where x is the impurity &#10;concentration and y, given as a percent, is the probability of the fuse &#10;malfunctioning.\\Then, the probability of the fuse malfunctioning for an impurity concentration of 0.17 is given by [tex]y=3(257,959)^{0.17}=3(8.316941)=24.95

Therefore, the <span>probability of the fuse malfunctioning for an impurity concentration of 0.17 is 25% to the nearest percent.</span>
</span>
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3 years ago
What is amortization ?
konstantin123 [22]
Paying off a debt over time with planned payments, so kind of like mortgage on a house.
4 0
3 years ago
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If you roll a single six-sided die, what is the probability of rolling an odd number?
xz_007 [3.2K]
What's up? the answer is 1/2

6 sides in which 3 are odd. 1,3,5
3/6 or 1/2 chance of rolling odd
3 0
3 years ago
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A city has a population of 290,000 people. Suppose the population grows by 3%. What will the population be after 11 years?
LiRa [457]
Assuming it grows 3% each year it would be <span>385,700</span>
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3 years ago
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