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mel-nik [20]
3 years ago
14

The sum of the lengths of two opposite sides of the circumscribed quadrilateral is 12 cm, the length of a radius of the circle i

s 2 cm. Find the area of the quadrilateral.
Mathematics
1 answer:
Vikki [24]3 years ago
5 0

Answer:

  24 cm²

Step-by-step explanation:

We assume that is a circumscribing quadrilateral, rather than one that is circumscribed. It is also called a "tangential quadrilateral" and its area is ...

  K = sr

where s is the semi-perimeter, the sum of opposite sides, and r is the radius of the incircle.

  K = (12 cm)(2 cm) = 24 cm²

_____

A quadrilateral can only be tangential if pairs of opposite sides add to the same length. Hence the given sum is the semiperimeter.

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If f(x) - 4x2-3 and g(x) = x+1, find (f - g)(x).
Harrizon [31]

Answer:

4x^2-x-4

Step-by-step explanation:

f(x) = 4x^2-3 and g(x) = x+1,

(f - g)(x)= 4x^2-3 -( x+1)

Distribute the minus sign

            =4x^2-3 - x-1

Combine like terms

            =4x^2-x-4

6 0
3 years ago
Read 2 more answers
PLEASE HELP! IM A MONTH BEHIND IN MATH AND FREAKING OUT T^T PLZZZZ
ANTONII [103]
A) Let x stand for time, y stand for velocity.
We are given the points (2,50), (6, 54). We can make a line using the slope intercept form
y = mx + b.
slope is (54 - 50)/(6-2)  = 4/4 = 1
y = 1x + b
plug in point (2,50) to find b
50 = 1(2) + b
50-2 = b
48 = b
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Make standard form.
<span>x - y = -48
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3 0
3 years ago
Lou wants to make a coffee mixture to sell. He is going to mix Sumatra coffee which costs $2.50 per pound with Columbian coffee
Scilla [17]
To answer this question you need to create 2 equations:
S+C=50
2.50S+3.75C=3.35*(50) 
S=50-C -so now you can plug in S into the second equation
2.50*(50-C)+3.75C=167.5
Now you just need to solve this equation, the final answer will be 34 pounds of colombian coffee and 16 pounds of sumatra coffee 
5 0
3 years ago
Can someone explain how to find z?
Julli [10]

The vlaue of z is 27°

Step-by-step explanation:

Given,

The angle is 63°

To find the value of z

We know that the diagonals of rhombus perpendicularly bisect each other.

Again,

z+63°+90° = 180° [ sum of all the triangle is 180°]

or, z = 27°

6 0
3 years ago
How to find the number of sides of a polygon when given the interior angle sum
wariber [46]

Given:

Sum of interior angle

To find:

Number of sides of a polygon

Solution:

Using sum of interior angles formula:

$S=(n-2) \times 180^{\circ}

where "S" is the sum of interior angels and "n" is the number of sides of a polygon.

Divide by 180° on both sides.

$\frac{S}{180^{\circ}}=\frac{(n-2) \times 180^{\circ}}{180^{\circ}}

Cancel common factor 180°.

$\frac{S}{180^{\circ}}=n-2

Add 2 on both sides.

$\frac{S}{180^{\circ}}+2=n-2+2

$\frac{S}{180^{\circ}}+2=n

Switch the sides.

$n=\frac{sum}{180^{\circ}}+2

Therefore number of sides of a polygon is n=\frac{sum}{180^{\circ}}+2.

3 0
3 years ago
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