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shusha [124]
3 years ago
5

The area (A) of a circle with a radius of r is given by the formula and its diameter (d) is given by d = 2r. What is the correct

5 step sequence of equations to rewrite the formula for diameter in terms of the area of the circle?
Mathematics
1 answer:
liubo4ka [24]3 years ago
3 0
A= pi×r^2 r=(1/2)d
A=pi×(1/2)d×(1/2)d
A=pi×0.5d×0.5d
A=pi×(0.5)^2 × d^2
A=pi×0.25d^2
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Find the x-intercept and y-intercept of the line. 3x-6y=12
Makovka662 [10]

Answer:

the y- intercept is "3" and the x- intercept is "6"

Step-by-step explanation:

5 0
3 years ago
You have 42 ft. of fencing (1 ft. segments) to make a rectangular garden. How much should each side be to maximize your total ar
Verizon [17]

Answer:

Length=10.5\ ft

Width=10.5\ ft

Area=110.25\ ft^{2}

Step-by-step explanation:

Let

x----> the length of the rectangular garden

y---> the width of the rectangular garden

we know that

The perimeter of the rectangle is equal to

P=2(x+y)

we have

P=42\ ft

so

42=2(x+y)

simplify

21=(x+y)

y=21-x------> equation A

Remember that the area of rectangle is equal to

A=xy ----> equation B

substitute equation A in equation B

A=x(21-x)

A=21x-x^{2}----> this is a vertical parabola open downward

The vertex is a maximum

The y-coordinate of the vertex is the maximum area

The x-coordinate of the vertex is the length side of the rectangle that maximize the area

using a graphing tool

The vertex is the point (10.5,110.25)

see the attached figure

so

x=10.5\ ft

Find the value of y

y=21-10.5=10.5\ ft

The garden is a square

the area is equal to

A=(10.5)(10.5)=110.25\ ft^{2} ----> is equal to the y-coordinate of the vertex is correct

6 0
3 years ago
Amanda has 2,00,234 dollars. She needs 4,00,578 dollars. Her friend Alice gives her 207,78 and then Amanda gives her 200 back. H
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Step-by-step explanation:

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Line segment YV of rectangle YVWX measures 24 units.
Anna [14]

Answer: 8√3

<u>Step-by-step explanation:</u>

ΔXVW is a 30°-60°-90° triangle. This special triangle has corresponding sides of lengths: b - b√3 - 2b.  So,

VW = b

XW = b√3

XV = 2b

Since, YV = 24, then XW = 24 and we stated above that XW = b√3. So,

24 = b√3

\frac{24}{\sqrt{3}} = \frac{b\sqrt{3}}{\sqrt{3}}

\frac{24}{\sqrt{3}} = b

\frac{24}{\sqrt{3}}(\frac{\sqrt{3}}{\sqrt{3}}) = b

\frac{24\sqrt{3}}{3} = b

8√3 = b

We are looking for side YX which is congruent (equal) to VW and we stated above that VW = b, So, VW = 8√3

7 0
3 years ago
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