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2 years ago

Which is the best estimate of the circumference of this circle?

Mathematics

2 answers:

amm18122 years ago

5 0

Answer:

option A.

Step-by-step explanation:

We have to find the circumference of the given circle with radius 2 units.

Since formula to calculate circumference of a circle is = 2πr

Where r = radius of the circle.

Circumference = 2 × (3.14) × (2)

= 4 × 3.14

= 12.56

So approximate value will be option A.

faltersainse [42]2 years ago

3 0

Answer:

12 is the best estimate

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Consider the following sets. U = {ordered pairs on a coordinate plane} A = {ordered pair solutions to y = x} B = {ordered pair s

4vir4ik [10]

Answer:

(0,0)

Step-by-step explanation:

We have,

U = { (x,y) : x,y belong to real numbers }

A = { (x,y) : (x,y) is a solution of y=x }

B = { (x,y) : (x,y) is a solution of y=2x }

We need to find the ordered pair (x,y) that belong to A $\bigcap$ B.

Let, (x,y) belong to A $\bigcap$ B

i.e. (x,y) belong to A and (x,y) belong to B

i.e. y = x and y = 2x

i.e. x = 2x

i.e. x = 0

Now, substitute x= 0 in any of the equation say y = x, we get y = 0.

Hence, the ordered pair satisfying A $\bigcap$ B is (0,0).

5 0

2 years ago

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If the egress rate for a stadium is 5,500 fans per hour and it takes fans about one-third less time for fans to exit a game as i

Marina CMI [18]

Answer:

1833 fans per hour

Step-by-step explanation:

Ingress is entering and Egress is exiting.

Since exiting time is 1/3rd less than entering time, we have 5500 people exiting, so ingessing would be 1/3rd that.

Thus,

Ingress Rate = 5500/3 = 1833.33

Rounding to whole number, we have 1833 fans per hour

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Mr.Anderson is building a triangular- shaped roof for his shed. The triangle must be isosceles with its base (noncongruent) side

goldfiish [28.3K]

The side of the congruent side of the triangle should be greater than 7 feet.

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Lola rode her bike for 7/10 of an hour on saturday and 3an hour on sunday.how much longer did she ride her bike on saturday than

Artyom0805 [142]

She rode 2 and 3/10 more hours

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2 years ago

Trees in urban areas help keep air fresh by absorbing carbon dioxide. A city has $2100 to spend on planting spruce and maple tre

insens350 [35]

Let x = the number of spruce trees
Let y = the number of maple trees

The information given is summarized in the following table.
Number Cost/tree Area used CO₂ absorption
----------- ------------- --------------- ----------------------
x $30 600 ft² 650 lb/yr
y $40 900 ft² 300 lb/yr

The amount available to spend is $2100, therefore
30x + 40y ≤ 2100
or
(3/4)x + y ≤ 52.5 (1)

The land available for planting is 45,000 ft², therefore
600x + 900y ≤ 45000
or
(2/3)x + y ≤ 50 (2)

The amount of CO₂ removed per year is
A = 650x + 300y (3)

The shaded area in the graph shown below is the solution region.
Optimum values of A occur at the vertices, as shown.
The maximum removal rate occurs at (70, 3.33) at a rate of 46,500 lb/year.
Because we should have an integral number of trees, we should have
70 spruce and 3 maple trees.

Answer: 70 spruce, 3 maple

3 0

2 years ago