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irina [24]
3 years ago
11

In a population of 3 1/4 million people, 2115000 are under the age of 16. Calculate the percentage, to two decimal places, of th

e population who are under the age of 16
Mathematics
1 answer:
Masteriza [31]3 years ago
8 0
So what we need to do is divide the number of people under 16 by the number of the entire population:

\frac{2115000}{3250000}

first, let's get rid of the 0s:

\frac{2115}{3250}

now, we can divide:
 this is 0.6507....

in order to make this into a percentage, we multiply by 100%:

0.6507*100%=65.07%

the answer is: 65 % (quite a lot!!!)
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I got Y=12 for my answer.
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3 years ago
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
Anybody knows what is -2(g - 3) = 2(g - 7)​
Veronika [31]

Answer:

g = 4.6

Step-by-step explanation:

-3(g - 3) = 2(g - 7)

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-3g = 2g - 23

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3 0
3 years ago
A warehouse worker ships 25 boxes each day. Every box contains 3 shipping labels. Inventory has 500 shipping labels. How many da
Stolb23 [73]

Answer: It will take 7 days to use the inventory of shipping labels.

Step-by-step explanation:

Given : Total boxes shipped by warehouse worker per day = 25

Every box contains 3 shipping labels.

Inventory has 500 shipping labels.

Then, the total number of boxes can be made =  (Total  shipping labels) ÷ (labels in each box)

500 ÷ 3  =166.67≈166

Number of days it will take to use the inventory of shipping labels=  (total number of boxes can be made)  ÷  (Total boxes shipped  per day)

= 166÷ 25=6.64≈7

Hence, it will take 7 days to use the inventory of shipping labels.

4 0
3 years ago
Kyndal wants to buy a lamp that
fenix001 [56]

Answer:

$39.36

Step-by-step explanation:

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Since there is a additional 40% off multiply by 0.4 to get the discount amount

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Subtract the discount from the price

65.6-26.24= 39.36

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3 years ago
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