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2 years ago

Please match the following 3 terms to their definitions.

Mathematics

1 answer:

yan [13]2 years ago

8 0

Answer:

See attached

Step-by-step explanation:

Refer to picture

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Using this formula, how many sides does a polygon have if the sum of the interior angles is 1,260°? Round to the nearest whole n

nikdorinn [45]

Answer:

9 Sides

Step-by-step explanation:

According to the Question,

Given That, The sum of the interior angles(s), in an n-sided polygon can be determined using the formula s=180(n−2), where n is the number of sides

Therefore, The sides do a polygon have if the sum of the interior angles is 1,260°.

Put The Values in Formula, we get

1260=180(n−2)

n-2 = 7

n=9 (9 Sides)

6 0

2 years ago

2 taps A and B can fill a swimming pool in 3 hours. If turned on alone, it takes tap A 5 hours less than tap B to fill the same

vazorg [7]

Answer:

Tap A will take 2 hours and tap B will take 6 hours to fill the tank when turned on alone.

Step-by-step explanation:

Let tap B fills the pool alone in the time = x hours

So in one hour part of pool will be filled = $\frac{1}{x}$

Another tap A when turned on, it takes time to fill the pool = x-5 hours

So in one hour part of the same pool filled = $\frac{1}{x-5}$

Now both the taps A and B are turned on then time taken to fill the pool = 3 hours.

Part of the pool filled in one hour by both the taps = $\frac{1}{3}$

Now we form an equation

Part of pool filled in one hour by tap A + Part of pool filled in one hour by tap B = Part of pool filled in one hour by both the taps when turned on

$\frac{1}{(x-5)}+\frac{1}{x}=\frac{1}{3}$

$\frac{x-5+1}{x(x-5)}=\frac{1}{3}$

$\frac{x-4}{x(x-5)}=\frac{1}{3}$

3(x - 4) = x(x - 5)

x² -5x = 3x - 12

x² - 8x + 12 = 0

x² - 6x - 2x + 12 = 0

x(x - 6) - 2(x - 6) = 0

(x -2)(x - 6) = 0

x = 2, 6 hours

We will take higher value of x as x = 6 hours for tap B.

Time taken by tap A = 6 - 4 = 2 hours.

Therefore, Tap A will take 2 hours and tap B will take 6 hours to fill the tank when turned on alone.

4 0

3 years ago

Nina has some nickels and 9 pennies in her pocket. Her friend, Maurice has twice as many nickels as Nina. Together these coins a

algol13

So Maurice would have 2N nickels

Total number of coins is N + 2N + 9 = 3N + 9

Each nickel is 5 pennies

3N of nickels = 15N pennies

-----------

Their worth is 84 cents

15N + 9 = 84

15N = 75

N = 75/15 = 5

N = 5

This means Nina has 5 nickels.

4 0

3 years ago

The sum of two numbers is x. If one of the numbers is 12, what is the other ?

Vlad1618 [11]

If the sum of two numbers is x

Then the equation is like this:

a+b = x

Then it says one of the number is 12. Change either a or b into 12

12 + b =x

If we want to find the other number, we need the make it into the subject

b = x - 12

Hope that help.

6 0

3 years ago

Read 2 more answers

Which of the following is a pair of vertical angles? *

erastovalidia [21]

Answer:

1 and 3, 2 and 4, 5 and 7, and 8 and 65

Step-by-step explanation:

Vertical Angles Congruence Theorem

6 0

2 years ago