7. Find the circumference of a circle if the area is 300 square centimeters. A. 84.74 cm
B. 9.77 cm
C. 56.25 cm
D. 61.38 cm

Answers

Answer 1
Answer: So the formula for a circle is Pie * r^2
If you divide 300 by pie and then Square root it you would get your radius
And once you have the radius you would use the equation of 2pie * r to find the circumfrence. 
Answer is D. 61.38
Answer 2
Answer:

Answer:

the correct answer is 61.38 cm, which is D


Step-by-step explanation:



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Solve the polynomial equation x^3-27=0 by factoring. (with explanations of each step)

Answers

                                                   x³ - 27 = 0
                   x³ + 3x² - 3x² + 9x - 9x - 27 = 0
                   x³ + 3x² + 9x - 3x² - 9x - 27 = 0
x(x²) + x(3x) + x(9) - 3(x²) - 3(3x) - 3(9) = 0
               x(x² + 3x + 9) - 3(x² + 3x + 9) = 0
                                (x - 3)(x² + 3x + 9) = 0
                   x - 3 = 0    or    x² + 3x + 9 = 0
                     + 3 + 3           x = -(3) ± √((3)² - 4(1)(9))
                        x = 3                              2(1)
                                           x = -3 ± √(9 - 36)
                                                          2
                                           x = -3 ± √(-27)
                                                        2
                                           x = -3 ± 3i√(3)
                                                       2
                                           x = -1.5 ± 1.5i√(3)
                                           x = -1.5 + 1.5i√(3) or x = -1.5 - 1.5i√(3)

In each step I have to factor the equation to a trinomial so that it could be factored into the sums and differences of cubes. Then, I have to use the quadratic equation in order to find the two solutions of the second factor, which is equal to -1.5 + 1.5i√(3) and -1.5 - 1.5i√(3), while on the first factor I have to find the solution to the first factor, making the solution equal to 3. So the solutions to the polynomial equation are the numbers 3, -1.5 + 1.5i√(3), and -1.5 - 1.5i√(3).

Solution Set: {3, -1.5 ± 1.5i√(3)}

How many whole numbers are between 0 and n+7? (n is a whole number)

Answers

Answer:

There are n + 7 whole numbers

Step-by-step explanation:

Here, we want to calculate the number of whole numbers between 0 and n + 7

Since n + 7 is a while number, what we shall do is to simply subtract 0 from it

Thus we have; n + 7 - 0 = n + 7

So there are n + 7 whole numbers between n+ 7 and 0

Answer:

n+7

Step-by-step explanation:

n+7-0=n+7?

A translation moves A(2,3) onto A′(4,8). If B(4,6), what is the image of B under the same translation? A. (6,11)
B. (12,18)
C. (6,8)
D. (8,12)

Answers

If i am right it should be A.

Mr. Atinga shared his cattle among his three children Lordia,Anita,and Richmond. He gave 3/5 of cattles to Anita and shared the remaining between Lordia and Richmond in the ratio 2:3 respectively. In all 80 cattle were shared between Lordia and Richmond. How many cattle were shared among the three children How many cattle did Anita receive than Richmond

Answers

Answer:

a). The total number of cattle shared among the three children=200

b). Anita's share=120 cattle

    Lordia's share=32 cattle

    Richmond's share=48 cattle

Step-by-step explanation:

a)

Step 1

Determine fraction shared between Lordia and Richmond as follows;

Lordia:Richmond=2:3

Let the total cattle be x

Lordia's fraction=2/(2+3)=2/5 of x=(2/5)x

Lordia's fraction=(2/5)x

Richmond's fraction=3/(2+3)=3/5 of x=(3/5) x

but;

x=80 cattle

replacing;

Total number of cattle Lordia got=(2/5)×80=32 cattle

Total number of cattle Richmond got=(3/5)×80=48 cattle

Step 2

Express the total cattle Mr. Atinga had initially as follows;

Let the initial number of cattle be y

The fraction remainder given to Lordia and Richmond=Initial number-fraction of the totat given to Anita

where;

Initial number=y

fraction of the total given to Anita=3/5 y

replacing;

The fraction remainder given to Lordia and Richmond=y-3/5 y=2/5 y

but;

2/5 y=80

y=80×5/2=

y=200

The total number of cattle shared among the three children=200

b).

Anita's share=(3/5)×200=120 cattle

Lordia's share=(2/5)×80=32 cattle

Richmond's share=(3/5)×80=48 cattle

If each side of a triangle is doubled, than find the ratio of area of the new triangle than formed and the given triangle. a. 4 : 1 b. 1 : 4 c. 2 : 1 d. 1 : 2

Answers

Answer:

Step-by-step explanation:

If each side is double the ratio of the area of the new and the given will 4;1

2.3 + 6.82 ÷ 3.74 + 1.09

Answers

2.3  + 6.82 : 3.74 + 1.09 = 3.39 + 1.8 = 5.19 
BIDMAS
6.82/3.74 = 1.82352941176
2.3 + 1.09 = 3.39
1.82352941176 + 3.39 = 5.21352941176

Unless you didn't include brackets, which would result in a different answer