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4 years ago

Find the measure of each exterior angle of a regular 56-gin

1 answer:

Studentka2010 [4]4 years ago

3 0

The sum of the measure of the exterior angles of any polygon is 360. x represents the measure of a single exterior angle.
360/56=x
The simplified fraction is 45/7

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I need help so much please help the attachment below is the question i need help on

leonid [27]

Answer:

$\dfrac{\sqrt[12]{55296}}{2}$

Step-by-step explanation:

Rationalize the denominator, then use a common root for the numerator.

$\dfrac{\sqrt[4]{6}}{\sqrt[3]{2}}=\dfrac{(2\cdot 3)^{\frac{1}{4}}}{2^{\frac{1}{3}}}\\\\=\dfrac{(2\cdot 3)^{\frac{1}{4}}}{2^{\frac{1}{3}}}\cdot\dfrac{2^{\frac{2}{3}}}{2^{\frac{2}{3}}}=\dfrac{2^{\frac{1}{4}+\frac{2}{3}}3^{\frac{1}{4}}}{2}\\\\=\dfrac{2^{\frac{11}{12}}3^{\frac{3}{12}}}{2}=\dfrac{\sqrt[12]{2^{11}3^{3}}}{2}\\\\=\dfrac{\sqrt[12]{55296}}{2}$

3 0

3 years ago

If the geometric mean of a and 28 is 16 sqrt 7 find a

kozerog [31]

Answer:

a = 64

Step-by-step explanation:

The geometric mean of 2 numbers a and b is $\sqrt{ab}$ , then

$\sqrt{28a}$ = 16 $\sqrt{7}$ ( square both sides )

28a = (16 $\sqrt{7}$ )² = 1792 ( divide both sides by 28 )

a = 64

8 0

3 years ago

Read 2 more answers

How do I solve these?

makkiz [27]

1) The number is 12.

2) There are 7 passengers in a row.

3) Carol, Xavier and Keela drank 580, 1160 and 1260 mL of water, respectively.

<h3>How to resolve word problems involving linear equations</h3>

In this question we find word problems involving linear equations, in each case we need to understand the statement, derive mathematical equations and looking for corresponding solutions by algebraic means. Now we proceed to solve for each case:

Case 1

A variable is found herein and we need to resolve on this linear equation: (x - A number)

(x + 8) / 4 = 1 + (1 / 3) · x

(1 / 4) · x + 2 = 1 + (1 / 3) · x

1 = (1 / 12) · x

x = 12

The number is 12.

Case 2

A variable is found herein and we need to resolve on this linear equation: (x - Number of passengers per row)

30 · x + 12 = 222

30 · x = 210

x = 7

There are 7 passengers in a row.

Case 3

Three variables are found herein and we need to resolve on these linear equations: (x - Water consumed by Carol, y - Water consumed by Xavier, z - Water consumed by Keela)

z = 2 · x (1)

y = z + 100 (2)

x + y + z = 3000 (3)

Finally, we find the solution of this system:

x + (z + 100) + z = 3000

x + 2 · z = 2900

x + 4 · x = 2900

5 · x = 2900

x = 580 mL

z = 1160 mL

y = 1260 mL

Carol, Xavier and Keela drank 580, 1160 and 1260 mL of water, respectively.

To learn more on systems of linear equations: brainly.com/question/21292369

#SPJ1

3 0

2 years ago

The essay lengths of 29 randomly sampled essays are used to estimate the mean of the population. What t-score should be used to

slavikrds [6]

Answer:

A t-score of 1.701 should be used to find the 95% confidence interval for the population mean

Step-by-step explanation:

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 29 - 1 = 28

Now, we have to find a value of T, which is found looking at the t table, with 28 degrees of freedom(y-axis) and a confidence level of 0.95( $t_{95}$ ). So we have T = 1.701.

A t-score of 1.701 should be used to find the 95% confidence interval for the population mean

5 0

3 years ago

Which represents the solution(s) of the system of equations, y = x2 – 2x – 15 and y = 8x – 40? Determine the solution set algebr

almond37 [142]

Answer:

(5, 0 )

Step-by-step explanation:

Given the 2 equations

y = x² - 2x - 15 → (1)

y = 8x - 40 → (2)

Substitute y = x² - 2x - 15 into (2)

x² - 2x - 15 = 8x - 40 ( subtract 8x - 40 from both sides )

x² - 10x + 25 = 0 ← in standard form

(x - 5)² = 0 ← in factored form, thus

x - 5 = 0 ⇒ x = 5

Substitute x = 5 into (2) for corresponding value of y

y = 8(5) - 40 = 40 - 40 = 0

Solution is (5, 0 )

3 0

4 years ago