MATHEMATICS MIDDLE SCHOOL

what is the ratio of the number of degrees in the interior angle of a regular pentagon to the number of degrees in the interior angle of a regular hexagon ? express your answer as a common fraction.

Answers

Answer 1

Answer:

Answer: Answer is 3/4

Step-by-step explanation: The sum of the interior angles of a regular polygon is calculated as follows;

(n-2) × 180° {where n represents the number of sides of the polygon}

A pentagon is a polygon with five equal sides. Therefore the sum of it's interior angles is calculated as;

(5-2) × 180°

=3×180°

=540°

A hexagon is a polygon with six equal sides. Therefore the sum of it's interior angles is calculated as;

(6-2) × 180°

=4×180°

=720°

Therefore, the ratio of the number of degrees in the interior angles of a regular pentagon, to the number of degrees in the interior angles of a regular hexagon is given as

540:720

If you divide both sides by their prime factors (2×2×3×3×5) the ratio becomes

3:4 in it's simplest form.

As a common fraction, it can be expressed as

3/4.

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Wendy's brother drank 3/10 of the gallon of milk in the fridge. What percent of the milk did he drink?
Erica baby sits for 4 1/2 hours and is paid $27.A. How much does she make per hour?B. How much does she make for 8 hours?C. If the people she babysits for have $34 to pay her, how long can they stay out.
Can someone please help me with the question in the image
B squared minus 7b plus 6

6 hundreds divided by 10=

2 thousands divided by 10=

Answers

Answer:

1. 60 2. 200

Step-by-step explanation:

600÷10= 60

2000÷10=200

Answer:

60 and 200

Step-by-step explanation:

When divideing by 10 you can cancel the zeros from both the numertor and denominator

the length of a rectangle is 5cm greater than the width. the area of the rectangle is 84cm squared. find the length and width

Answers

Answer:

Therefore,

$Length=12\ cm$

$Width= 7\ cm$

Step-by-step explanation:

Let the Width of rectangle be 'x' cm.

Then the length of a rectangle will be (x + 5) cm.

Area of rectangle given is 84 cm squared.

To Find:

Length = (x+5) = ?

Width = x = ?

Solution:

We have area of rectangle given as

$\textrm{Area of Rectangle}=Length* Width$

Substituting the given values we get

$84=(x+5)x\nx^(2) +5x-84=0\n$

On factorizing we get

$x^(2) +12x-7x-84=0\nx(x+12)-7(x+12)=0\n(x+12)(x-7)=0\n(x+12)=0\ or\ (x-7)=0\nx=-12\ or\ x=7\n\therefore x =7\ cm\ \textrm{As x cannot be negative}$

Therefore,

$Length=x+5=7+5=12\ cm$

Therefore,

$Length=12\ cm$

$Width= 7\ cm$

Ellie uses 27 feet of fabric to make 48 doll dresses.she uses the same amount of fabric to make each dress.how many yards of fabric did Ellie use to make each dress? And also tell how u got it plz

Answers

There are 3 feet in a yard. 27 feet ÷ 3 = 9 yards. Now you have the number of yards. Divide this by 48. You will get 0.1875 yards per dress.

Why is 0.8 and 0.80 named the same?

Answers

0.8 and 0.80 are named the same because both of them numbers have an 8 in the tenths place and a zero in the hundredths place. No matter how many zeros you add on to the end of the decimal, it does not change its value.

Because 0.8 is only 10 away from 0.80

What is the greatest perimeter of a rectangle with an area of 39 square feet?

Answers

39 = xy

Perimeter = 2x + 2y

The greatest perimeter could be 80 feet

P = 2(1) + 2(39)

An athlete jumps these 4 distances in a long jump competition. Which jump does NOT round to 4.7 meters?

Answers

The jump that does not round to 4.7 meters is the third jump.

In order to determine which option does not round to 4.7 meters, each of the options has to be rounded off to the nearest tenth. The nearest tenth is the first number after the decimal point.

How to round off to the nearest tenth

examine the number in the hundredth place.
If the hundredth figure is less than 5, the tenth number does not change.
If the hundredth figure is equal or greater than 5, 1 would be added to the tenth figure.

The first jump rounds off to 4.7 meters
The second jump rounds to 4.7 meter
The third jump rounds off to 4.6 meters
The fourth jump rounds off to 4.7 meters

A similar question was answered here: brainly.com/question/8085738

the correct answer is the third jump
i hope this helps

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