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Anna007 [38]
3 years ago
13

1) The sum of the lengths of two opposite sides of the circumscribed quadrilateral is 12 cm, the length of a radius of the circl

e is 2 cm. Find the area of the quadrilateral.
2) A quadrilateral is circumscribed around a circle. The sum of the lengths of two of its opposite sides is 15 cm. Find the perimeter of the quadrilateral.
Mathematics
2 answers:
aliina [53]3 years ago
7 0

Answer:

1) 24cm^2

2) 30cm

Step-by-step explanation:

1) Remember that: The area of a quadrilateral circumscribed about a circle equals  semi-perimeter (half the product of the perimeter of the quadrilateral) and the radius of the circle.  

By the other hand in a quadrilateral circumscribed the sum of the measures of any pair of two opposite sides is equal to the sum of the measures of the other pair of the opposite sides.

Then you know that the sum of all sides should be 12cm+12cm=24cm

Area= Semi-perimeter*r

where

Semi-perimeter= perimeter/2= sum of all sides/2

r= radius of the circle

Then:

Area=(24cm/2)*(2cm)= 24cm^2

2) Perimeter= sum of all sides

And as the sum of the measures of any pair of two opposite sides is equal to the sum of the measures of the other pair of the opposite sides.

Perimeter=15cm+15cm=30cm

n200080 [17]3 years ago
6 0

Answer:

24cm and 225cm

Step-by-step explanation:

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Out of a salary of $4500, I kept 1/3 as savings. Out of the remaining money, I spend 50% on food and 20% on house rent. How much
jeka94

Answer:

$2100

Step-by-step explanation:

1/3 of 4500 is 1500

to find 1/3 of a number is to multiply by 1/3

1/3 * 4500 = 1500

$1500 is for savings

subtract 1500 from 4500

4500 - 1500 = 3000

the remaining money is $3000

to find 50% of something, divide by 2

3000/2 = 1500

$1500 is spent on food.

20% of 3000 is 600

to find 20% of something, multiply the decimal value (0.2)

0.2 * 3000 = 600

$600 are spent on rent.

$450 leftover

1500 + 600 = 2100

Food and rent cost $2100

hope this helps:)

3 0
2 years ago
K over x = w over v solve for x
Amiraneli [1.4K]
\frac{k}{x} = \frac{w}{v} Multiply both sides by v
<span>\frac{kv}{x} = w   Multiply both sides by x
</span>kv = wx   Divide both sides by w
<span>\frac{kv}{w} = x   Switch the sides to make it easier to read
</span>x = <span>\frac{kv}{w} </span>
6 0
3 years ago
Anyone know how to do this
svlad2 [7]

Answer:

The area of the rectangle on the left side is

9cm \:  \times 4cm = 36 {cm}^{2}

The area of the bottom rectangle is

6cm \times 2cm = 12 {cm}^{2}

The total area of the composite figure will be

36 {cm}^{2}  + 12 {cm}^{2}  = 48 {cm}^{2}

Step-by-step explanation:

The area of any given rectangle can be found by multiplying the length of that rectangle by its width. The rectangle on the left side has a length of 9cm but the width is unknown. To find the width, we subtract 6cm from the width of the bottom rectangle: 10cm. And that gives us 4cm.

Therefore, we can now calculate the area to be: length × width = 9cm × 4cm = 36cm²//

The area of the bottom rectangle can be found similarly by multiplying the length: 2cm by the width: 6cm of that rectangle. And the result gives us: 2cm × 6cm = 12cm²//

The total area of the composite figure is calculated by adding the results from the left and bottom rectangles together. And that gives us: 36cm² + 12cm² = 48cm²//

8 0
3 years ago
(x – 4)(x+6)<br> Need help simplify
Ksivusya [100]
The answer would be 2x^2+2x-24

using foil, you would multiply together x & x, x & 6, -4 & x, and -4 & 6, then add them together.
5 0
4 years ago
Read 2 more answers
What is this please!!!!! 20= -6+2n
Yuki888 [10]

Answer:

n = 13

Step-by-step explanation:

20= -6+2n

Add 6 to each side

20+6= -6+6+2n

26 = 2n

Divide each side by 2

26/2 = 2n/2

13 =n

7 0
3 years ago
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