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2 years ago

6

The area of a regular hexagon circumscribed about a circle with radius 5 is __

1 answer:

Citrus2011 [14]2 years ago

5 0

Answer: 7

Step-by-step explanation:

You might be interested in

Xanthia can read 100 pages per hour and Molly can read 50 pages per hour. If they each read the same book, and the book has 225

Talja [164]

Answer:

135 minutes

Step-by-step explanation:

Let

y -----> the number of pages to finish reading the book

x ----> the number of hours

we know that

The linear equation in slope intercept form is equal to

$y=mx+b$

where

m is the unit rate or slope of the linear equation

b is the y-intercept or initial value

In this problem we have

<em>Xanthia</em>

$m=100\ pages/hour$

$b=225\ pages$

$y=-100x+225$ ----> the slope is negative because is a decreasing function

For y=0

substitute and solve for x

$0=-100x+225$

$100x=225$

$x=2.25\ hours$ ---> Xanthia's time to finish reading the book

<em>Molly</em>

$m=50\ pages/hour$

$b=225\ pages$

$y=-50x+225$ ----> the slope is negative because is a decreasing function

For y=0

$0=-50x+225$

$50x=225$

$x=4.5\ hours$ --- Molly's time to finish reading the book

To find out how many more minutes than Xanthia would it take for Molly to finish reading the book, subtract Xanthia's time from Molly's time

$4.5\ h-2.25\ h=2.25\ h$

Convert to minutes

Multiply by 60

$2.25\ h=2.25(60)=135\ minutes$

4 0

2 years ago

Read 2 more answers

What is the value of y in the solution to the system of equations? One-thirdx + One-fourthy = 1 2x – 3y = –30 –8 –3 3 8

Neporo4naja [7]

Step-by-step explanation:

1<u>/</u><u>3</u><u>x</u><u>+</u><u>1</u><u>/</u><u>4</u><u>0</u><u> </u><u>=</u><u>1</u><u> </u><u>2x – 3y = –30 –8 –3 3 8</u><u> </u><u> </u>

4 1

2 years ago

Read 2 more answers

The saucer for Roger's teacup has a radius of 3 centimeters. What is the saucer's circumference?

Fantom [35]

C=dπ and r+r=d so 3+3=6 and 6π≈18.84 so the circumference would be 18.84

7 0

2 years ago

Cos (90-theta) • cosec90-theta) =tano. How?

denis-greek [22]

Answer:

<u>______________________________________________________</u>

<u>TRIGONOMETRY IDENTITIES TO BE USED IN THE QUESTION :-</u>

For any right angled triangle with one angle α ,

$\cos (90 - \alpha ) = \sin \alpha$ or $\sin(90 - \alpha ) = \cos\alpha$

$cosec \: (90 - \alpha ) = \sec\alpha$ or $\sec(90 - \alpha ) = cosec\:\alpha$

<u>SOME GENERAL TRIGNOMETRIC FORMULAS :-</u>

<u></u> $\sin \alpha = \frac{1}{cosec \: \alpha }$ or $cosec \: \alpha = \frac{1}{\sin \alpha }$

<u></u> $\cos \alpha = \frac{1}{\sec \alpha }$ or $\sec \alpha = \frac{1}{\cos \alpha }$

<u>______________________________________________________</u>

Now , lets come to the question.

In a right angled triangle , let one angle be α (in place of theta) .

So , lets solve L.H.S.

$\cos (90 - \alpha ) \times cosec(90 - \alpha )$

$=> sin\alpha \times \sec\alpha$

$=> \sin\alpha \times \frac{1}{\cos\alpha }$

$=> \frac{\sin\alpha }{\cos\alpha }$

$=> \tan\alpha$ = R.H.S.

∴ L.H.S. = R.H.S. (Proved)

3 0

2 years ago

A box contains 28 balls of which 7 are red, 7 are blue, 14 are green.

djverab [1.8K]

Answer:

1 /4

Step-by-step explanation:

Given that :

Number of red = 7

Number of Blue = 7

Number of green = 14

Total number of balls = 28

Probability of picking a ball that is neither red nor green.

Probability = required outcome / Total possible outcomes

P(neither red nor green) = P(picking a blue ball) = 7 / 28 = 1/4

4 0

2 years ago