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3 years ago

Find the greatest common factor of 120 and 72.

Mathematics

2 answers:

kolbaska11 [484]3 years ago

8 0

The greatest common factor of 120 and 72 is 24

<h3>Solution:</h3>

Given that we have to find the greatest common factor of 120 and 72

Let us first understand about greatest common factor

When we find all the factors of two or more numbers, and some factors are the same ("common") , then the largest of those common factors is the Greatest Common Factor

Greatest common factor of 120 and 72:

First find the factors of 120 and 72

The factors of 120 are: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

The factors of 72 are: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

On observing the above factors list of 120 and 72, we find that 24 is the greatest common factor in both the list

Thus the GCF of 120 and 72 is 24

stira [4]3 years ago

4 0

Answer:

Step-by-step explanation:

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100 200 300 400 500 600 700 Quantity Supplied nstructions: Refer to the graph and answer the questions below

mash [69]

Answer:

a. 400

b. 4$

Step-by-step explanation:

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7 0

1 year ago

Find a · b. |a| = 80, |b| = 50, the angle between a and b is 3π/4.

mart [117]

Answer:

$a\cdot b=-2000\sqrt{2}$

Step-by-step explanation:

Given information: |a| = 80, |b| = 50, the angle between a and b is 3π/4.

We need to find the dot product a · b.

The formula of dot product is

$a\cdot b=|a||b|\cos \theta$

where, θ is the angle between a and b.

Substitute the given values in the above formula.

$a\cdot b=(80)(50)\cos (\frac{3\pi}{4})$

$a\cdot b=4000\cos (\pi-\frac{\pi}{4})$

$a\cdot b=-4000\cos (\frac{\pi}{4})$ $[\because \cos (\pi-\theta)=-\cos \theta]$

$a\cdot b=-4000\frac{1}{\sqrt{2}}$

$a\cdot b=-\frac{4000}{\sqrt{2}}$

Rationalize the above equation.

$a\cdot b=-\frac{4000}{\sqrt{2}}\times \frac{\sqrt{2}}{\sqrt{2}}$

$a\cdot b=-\frac{4000\sqrt{2}}{2}$

$a\cdot b=-2000\sqrt{2}$

Therefore, the value of a · b is $a\cdot b=-2000\sqrt{2}$ .

7 0

3 years ago

Read 2 more answers

Write and solve an equation for each problem situation. Define the variable

Simora [160]

Answer:

His weekly allowance is $5.50.

Step-by-step explanation:

12.03 - 6.53 = $5.50

I'm not 100% sure this is accurate. Good Luck!

8 0

3 years ago

Anyone know the answer

Aleks [24]

Hello,

Answer D

$\begin{array}{|c|c|}x&y\\--&-------------\\-1&-3*\sqrt{-1+1} =-3*0=0\\0&-3*\sqrt{0+1} =-3*1=-3\\3&-3*\sqrt{3+1} =-3*2=-6\\8&-3*\sqrt{8+1} =-3*3=-9\\15&-3*\sqrt{15+1} =-3*4=-12\\--&-------------\\\end{array}$

5 0

3 years ago

What can you tell me about the vertex and line of symmetry? Where are they? How do you calculate them?

MA_775_DIABLO [31]

Answer:

Formula Of Vertex and Line of symmetry

Step-by-step explanation:

The axis of symmetry always passes through the vertex of the parabola . The x -coordinate of the vertex is the equation of the axis of symmetry of the parabola. For a quadratic function in standard form, y=ax2+bx+c , the axis of symmetry is a vertical line x=−b2a

Parabolas always have a lowest point (or a highest point, if the parabola is upside-down). This point, where the parabola changes direction, is called the "vertex"

3 0

2 years ago