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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><u>Solution:</u></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

<em><u>Greatest common factor of 120 and 72:</u></em>

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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Two angles are complementary. If the measure of one angle is twice the measure of the other angle, what is the measure of the la

Alenkinab [10]

Two angles are complementary: x + y = 90 (complementary = 90 degrees)
x = 2y

plug in 2y for x

2y + y = 90
3y = 90
3y/3 = 90/3
y = 30

plug in 30 for y
x = 2y
x = 2(30)
x = 60

x (the largest angle) = 60°

hope this helps

8 0

2 years ago

Read 2 more answers

Let f(x) = 5x3 + 3x2 – 3 and g(x) = x2 + X - 5, fin<br> 4) f(x) + g(x)

aleksley [76]

Answer:

$f(x)+g(x)=5x^{3} +4x^{2}+x-8$

Step-by-step explanation:

Given:

Two functions are given:

$f(x)=5x^{3} +3x^{2} -3$

$g(x)=x^{2} +x-5$

Find $f(x)+g(x)$

Solution:

$f(x)+g(x)=(5x^{3} +3x^{2} -3)+(x^{2} +x-5)$

$f(x)+g(x)=5x^{3} +3x^{2} -3+x^{2} +x-5$

$f(x)+g(x)=5x^{3} +(3x^{2} +x^{2})+x-3-5$

$f(x)+g(x)=5x^{3} +4x^{2}+x-8$

Therefore, the function of $f(x)+g(x)=5x^{3} +4x^{2}+x-8$

6 0

2 years ago

Prove that: –7 is not the arithmetic square root of 49

frez [133]

Answer:

–7 is not the arithmetic square root of 49 only in case we are taking it for natural number.

Step-by-step explanation:

The square root of x is that number which on squaring gives the result as x.
For example, the square root of 4 is +2 or -2. Because on squaring +2 or -2 we get the number 4.
Similarly for the case of 49, the square root might be both +7 or -7.
But if we are taking it as a natural number then -7 is not valid. Like for length, quantity or other sort of things -7 is not the arithmetic square root of 49.