Answer:
Associative property is illustrated.
Step-by-step explanation:
we have been given:
(2+3.4)+6=2+(3.4+6)
This is the associative identity which is:
a+(b+c)=(a+b)+c
Here, we have a=2, b=3.4, c=6
On comparing the values with associative property we get:
(2+3.4)+6=2+(3.4+6)
We club two numbers b and c first and then a and b in same bracket.
The area of room is 812 square feet, cost of carpet to cover the room is $6739.6 and the remaining square feet of carpet are covered by furniture is 203 square feet.
<h3>What is the area of trapezoid?</h3>
The area of the trapezoid is the space occupied by it on the two dimensional plane. The area of this figure is half of the product of height and sum of sides.

Here, (a and b) are the base sides of the trapezoid and (h) is the height.
A room is shaped like a trapezoid which has the height of 28 feet and the length of sides as 23 ft and 35 ft. Thus, the area of it is,

Carpet costs $8.30 per square foot. Thus, the cost of carpet with area 812 ft² is,
C=812×$8.30
C=$6739.6
Furniture covers 25% of the floor. Thus, the remaining square feet of carpet are covered by furniture is,

Thus, the area of room is 812 square feet, cost of carpet to cover the room is $6739.6 and the remaining square feet of carpet are covered by furniture is 203 square feet.
Learn more about the area of trapezoid here;
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Answer:
See below
Step-by-step explanation:
a = 15 sqrt 2 sin 45
= 15 sqrt 2 * sqrt( 2 ) /2 = 15 * 2 /2 = 15
sin 60 = a/c
sqrt(3)/2 = 15/c
c = 15 / ( sqrt(3)/2) = 30 / sqrt 3 = 30 sqrt 3 /3 = 10 sqrt 3
Answer:
20π square units
Step-by-step explanation:
The sector area is found using the proportion ...
sector area / circle area = sector angle / whole circle angle
Multiplying by "circle area", we get ...
sector area = (circle area)( sector angle / whole circle angle)
= (100π)(2/5π)/(2π)
= (100π)(1/5)
sector area = 20π