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3 years ago

Find the cube root of 19683 by prime factorization method. Show steps.

Mathematics

2 answers:

ANTONII [103]3 years ago

3 0

Answer:

Step-by-step explanation:

Given number:

19683

Prime factors of 19683:

19683 = 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 = 3^9

Cube root:

∛19683 = ∛3^9 = 3^3 = 27

SVEN [57.7K]3 years ago

3 0

Answer:

27 is the cube root

Step-by-step explanation:

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What is the measure of minor arc BD?

Vaselesa [24]

Answer:

$minor\ arc\ BD=100^o$

Step-by-step explanation:

The picture of the question in the attached figure

we know that

A circumscribed angle is the angle made by two intersecting tangent lines to a circle

In this problem

BC and CD are tangents to the circle

BC=CD ----> by the Two Tangent Theorem

That means

Triangle ABC and Triangle ADC are congruent

$m\angle BAC=m\angle DAC$

Find the measure of angle BAC

In the right triangle ABC

$m\angle BAC+m\angle BCA=90^o$

substitute given value

$m\angle BAC+40^o=90^o$

$m\angle BAC=90^o-40^o=50^o$

Find the measure of angle BAD

$m\angle BAD=2m\angle BAC$

$m\angle BAD=2(50^o)=100^o$

Find the measure of minor arc BD

we know that

$minor\ arc\ BD=m\angle BAD$ -----> by central angle

therefore

$minor\ arc\ BD=100^o$

8 0

3 years ago

Read 2 more answers

Find the value of x

Veronika [31]

Answer:

x =147

Step-by-step explanation:

The sum of the angles is = 360 -(2x+1) ( since it will make a full circle)

42+(-124+x) =360-(2x+1)

Combine like terms

x-82 =359-2x

Add 2x to each side

x-82+2x = 359

3x -82 = 359

Add 82 to each side

3x-82+82 = 359+82

3x = 441

Divide by 3

3x/3=441/3

x =441/3 or 147

4 0

3 years ago

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The point (3,6) is represented on the graph. Which point also belongs on this graph? (36,72)(35,75)(70,30)(42,85)

anygoal [31]

Answer:

The answer is (36,72)

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3 years ago

Fairview auto repair originally paid its mechanics $20 per hour. Now that there is a new owner, the mechanics make 5% less. How

sattari [20]

Answer:

The new amount paid to mechanics per after by new owner is $ 19 Answer

Step-by-step explanation:

Given as :

The amount paid to mechanics initially = $ 20 per hour

Now, The new owner paid less at the rate = 5%

Let the amount paid to the mechanics after 5 % less = x per hour

So, According to question

The new amount paid to mechanics per hour = initial amount paid per hour × ( 1 - $\frac{rate}{100}$ )

or, The new amount paid to mechanics per hour = $ 20 × ( 1 - $\frac{5}{100}$ )

I.e The new amount paid to mechanics per hour = $ 20 × 0.95

∴ The new amount paid to mechanics per hour = $ 19

Hence The new amount paid to mechanics per after by new owner is $ 19 Answer

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3 years ago

Marci works at a hardware store. One cash flow estimate for their power tools department is $56,700, and the probability assessm

worty [1.4K]

Answer:

The given data represents, the 30% of TOTAL CASH INFLOW = $56,700 and it is in the power tools department.

Step-by-step explanation:

Here, according to the question:

The estimated cash flow of POWER TOOLS department = $56,700

Also, the probability assessment = 30%

So, the given 30% determines the percentage of cash flow in POWER TOOLS DEPARTMENT in comparison to the TOTAL CASH FLOW.

Here, Maci is trying to find out the portion of the cash inflow in power tools department with respect to the cash flow of other departments in the hardware store.

The given data represents, the 30% of TOTAL CASH INFLOW = $56,700 and it is in the power tools department.

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3 years ago