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3 years ago

LOL HELP I literally forgot how to do basic maths

Mathematics

1 answer:

Thepotemich [5.8K]3 years ago

3 0

Answer:

Going from left to right, 84, 31, 74, then 111 on top and 228 on bottom

Step-by-step explanation:

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Please look at the picture, I need help ASAP.

forsale [732]

See below for the proof that the areas of the lune and the isosceles triangle are equal

<h3>How to prove the areas?</h3>

The area of the isosceles triangle is:

$A_1 = \frac 12r^2\sin(\theta)$

Where r represents the radius.

From the figure, we have:

$\theta = 90$

So, the equation becomes

$A_1 = \frac 12r^2\sin(90)$

Evaluate

$A_1 = \frac 12r^2$

Next, we calculate the length (L) of the chord as follows:

$\sin(45) = \frac{\frac 12L}{r}$

Multiply both sides by r

$r\sin(45) = \frac 12L$

Multiply by 2

$L = 2r\sin(45)$

This gives

$L = 2r\times \frac{\sqrt 2}{2}$

$L = r\sqrt 2$

The area of the semicircle is then calculated as:

$A_2 = \frac 12 \pi (\frac{L}{2})^2$

This gives

$A_2 = \frac 12 \pi (\frac{r\sqrt 2}{2})^2$

Evaluate the square

$A_2 = \frac 12 \pi (\frac{2r^2}{4})$

Divide

$A_2 = \frac{\pi r^2}{4}$

Next, calculate the area of the chord using

$A_3 = \frac 12r^2(\theta - \sin(\theta))$

Recall that:

$\theta = 90$

Convert to radians

$\theta = \frac{\pi}{2}$

So, we have:

$A_3 = \frac 12r^2(\frac{\pi}{2} - \sin(\frac{\pi}{2}))$

This gives

$A_3 = \frac 12r^2(\frac{\pi}{2} - 1)$

The area of the lune is then calculated as:

$A = A_2 - A_3$

This gives

$A = \frac{\pi r^2}{4} - \frac 12r^2(\frac{\pi}{2} - 1)$

Expand

$A = \frac{\pi r^2}{4} - \frac{\pi r^2}{4} + \frac 12r^2$

Evaluate the difference

$A = \frac 12r^2$

Recall that the area of the isosceles triangle is

$A_1 = \frac 12r^2$

By comparison, we have:

$A = A_1 = \frac 12r^2$

This means that the areas of the lune and the isosceles triangle are equal

Read more about areas at:

brainly.com/question/27683633

#SPJ1

5 0

2 years ago

Please help i will mark brainliest! for correct answers!

Ymorist [56]

I believe the answer is A

7 0

3 years ago

The population of small town grew from 4732 to 5967 from

Svetlanka [38]

Answer:

the small town grew to 2022

4 0

2 years ago

What is the absolute value of 2.3

Hoochie [10]

<h3>Answer: 2.3</h3>

The absolute value of any positive number is that number itself.

If you take the absolute value of a negative number, then just erase the negative sign and you have your answer.

The absolute value is never negative. It represents distance from that value to 0 on the number line.

So saying |2.3| = 2.3 means the number 2.3 is exactly 2.3 units away from 0 on the number line.

Another example would be |-7| = 7 showing that from 0 to -7 is 7 spaces.

8 0

3 years ago

\dfrac{23}{50} 50 23 start fraction, 23, divided by, 50, end fraction of Xander's friends prefer to stay home on Friday nights

cricket20 [7]

Answer:

46%

Step-by-step explanation:

Given that:

23/ 50 of Xander's friend prefer to stay at home;

Total number of friend's = 50

Number who prefer to stay home = 23

Hence, percentage who prefer to stay at home :

(23 /50) * 100%

0.46 * 100%

= 46%

4 0

3 years ago