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2 years ago

What is equal to x in x - 8pi = pi?

Mathematics

1 answer:

pochemuha2 years ago

8 0

Add 8π to both sides of the equation to get:

$x - 8\pi + 8\pi = \pi + 8 \pi$

$\boxed{x = 9 \pi}$

We have found that x = 9π. Remember that in solving problems like these with pi that it can often be helpful to treat pi as a variable.

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A rectangle is placed around a semi circle as shown below. The width of the rectangle is 7yd. find the area of the shaded region

Nady [450]

Answer:

21.07 yd^2

Step-by-step explanation:

The width of the rectangle is also the radius of the semicircle. The length of the rectangle is 2 radii, or 14 yd.

The area of the shaded region is the same as the area of the semicircle subtracted from the area of the rectangle.

area of shaded region = area of rectangle - area of semicircle

A = LW - (1/2)(pi)r^2

A = 14 yd * 7 yd - (1/2)(3.14)(7 yd)^2

A = 98 yd^2 - (1.57)(49 yd^2)

A = 98 yd^2 - 76.93 yd^2

A = 21.07 yd^2

4 0

2 years ago

Simon has a certain length of fencing to enclose a rectangular area. The function A models the rectangle's area (in square meter

ss7ja [257]

Answer:

The maximum area is 1,600 square meters

Step-by-step explanation:

<u><em>The complete question is</em></u>

What is the maximum area possible?

The given function area is modeled by A(w)=-w(w-80)

we know that

The given function is a vertical parabola open downward

The vertex is a maximum

The x-coordinate of the vertex represent the width for the maximum area

The y-coordinate of the vertex represent the maximum area

Convert the quadratic function in vertex form

$A(w)=-w(w-80)\\\\A(w)=-w^{2}+80w$

Factor -1

$A(w)=-(w^{2}-80w)$

Complete the square

$A(w)=-(w^{2}-80w+1,600)+1,600$

Rewrite as perfect squares

$A(w)=-(w-40)^{2}+1,600$ ----> function in vertex form

The vertex is the point (40,1,600)

therefore

The maximum area is 1,600 square meters

8 0

2 years ago

Read 2 more answers

If a company sells red, blue, and white tents at a ratio of 5:3:1 and they sell 1,350 tents in one month,

VARVARA [1.3K]

Red: (5 x 1,350)/9 = 750

Blue: (3 x 1,350)/9 = 450

White: (1 x 1,350)/9 = 150

7 0

2 years ago

Read 2 more answers

What is the greatest common factor GCF of 30,66. 84

Anon25 [30]

Answer:

Step-by-step explanation:

Factorize of the above numbers :

30 = 2 • 3 • 5

66 = 2 • 3 • 11

84 = 22 • 3 • 7

Build a prime factors table

Number of times each prime factor

appears in the factorization of :

Prime

Factor Number

30 Number

66 Number

84 G.C.F

(min)

2 1 1 2 1

3 1 1 1 1

5 1 0 0 0

7 0 0 1 0

11 0 1 0 0

GCF = 2 • 3

Greatest Common Factor is :

8 0

2 years ago

What values of c and d make the equation true? Assume x greater-than 0 and y greater-than-or-equal-to 0 StartRoot StartFraction

Maru [420]

Answer:

c = 1, d = 3

Step-by-step explanation:

4 0

2 years ago