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3 years ago

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

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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.

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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

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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

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3 0

1 year ago