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RUDIKE [14]
3 years ago
14

The diameter of a circle measures 14 m. What is the circumference of the circle?

Mathematics
2 answers:
wolverine [178]3 years ago
8 0

Answer:

43.96 m

Step-by-step explanation:

C = \pi \: d = 3.14 \times 14 = 43.96 \: m

sergey [27]3 years ago
6 0

Answer:

Step-by-step explanation:

The circumference is either pi*d or 2 pi r

Use pi*d

3.14 * 14 = 43.96

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I need help doing this.
Elanso [62]

a[n] = 7n - 16

The fifth term is a[5]

a[5] = 7(5) - 16 = 35 - 16  = 19

Answer: C. 19

3 0
3 years ago
Four - fifths of z added to six equals eight
ella [17]
The four-fifths of  a number, in this case, z is four times the number divided by z. That is 4z/5. When we add six to the product and equate the expression to 8, we get,
                                  4z/5 = 8
The value of z from the equation is 10.
4 0
3 years ago
The expression (a^2 + b^2)^2 is equivalent to
Alexxandr [17]

Answer:

Step-by-step explanation:

(x + y)² = x² + 2xy + y²

(a² + b²)²  = (a²)² + 2*a²*b² + (b²)²      {x = a² ;  y = b²}

                = a⁴ +2a²b² + b⁴    

6 0
3 years ago
Solve the following system using substitution.
ziro4ka [17]

Answer/Step-by-step explanation:

3. By substitution method, let's substitute \frac{2}{3}x- 4 for y in the first equation.

Thus,

\frac{1}{3}x + 2(\frac{2}{3}x- 4) = 1

Solve for x

\frac{x}{3} + \frac{4x}{3} - 4 = 1

Add 4 to both sides

\frac{x}{3} + \frac{4x}{3} - 4 + 4 = 1 + 4

\frac{x}{3} + \frac{4x}{3} = 5

\frac{x + 4x}{3} = 5

\frac{5x}{3} = 5

Multiply both sides by 3

\frac{5x}{3}*3 = 5*3

5x = 15

Divide both sides by 5

x = 3

Now, substitute 3 for x in the equation.

y = \frac{2}{3}x- 4

y = \frac{2}{3}(3) - 4

y = 2 - 4

y = -2

The solution of the equation is x = 3, y = -2

4. Solving by elimination, let's try to eliminate the x-variable by adding both equation together.

3x - 2y = 11

-3x - y = 4

            -3y = 15  => (-3x +(-3x) = 0; -2y +(-y) = -3y; 11 + 4 = 15)

Divide both sides by -3 to solve for y

\frac{-3y}{-3} = \frac{15}{-3}

y = -5

Substitute -5 for y in the first equation to find x

3x - 2(-5) = 11

3x + 10 = 11

Subtract 10 from both sides

3x + 10 - 10 = 11 - 10

3x = 1

Divide both sides by 3

\frac{3x}{3} = \frac{1}{3}

x = \frac{1}{3}

The solution is x = \frac{1}{3}, y = -5

8 0
3 years ago
Everett, Miguel, and Ramona are partners, sharing income 1:2:3. After selling all of the assets for cash, dividing losses on rea
andreev551 [17]

The amount of cash available for distribution to the partners is <u>$46,000</u>.

<h3>How is the amount of cash determined?</h3>

The amount of cash available for distribution to the partners is computed by summing the partners' capital balances.

From the scenario, Miguel owes the partnership $45,500.  Since Miguel has not brought in this amount, the cash available for now is $46,000.

If Miguel cannot bring in $45,500, it implies that the other two partners will share the loss in their income-sharing ratio before distributing the remaining cash.

<h3>Data and Calculations:</h3>

Partners = Everett, Miguel, and Ramona

Income-sharing ratio = 1:2:3

Capital account balances:

Everett, $53,600 Cr.

Miguel, $45,500 Dr.

Ramona, $37,900 Cr.

Total = $46,000 CR

Thus, the amount of cash available for distribution to the partners is <u>$46,000</u>.

Learn more about partnership liquidation at brainly.com/question/17149203

#SPJ1

3 0
1 year ago
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