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3 years ago

What is the greatest common factor of 96 and 72

Mathematics

1 answer:

Marianna [84]3 years ago

8 0

First, do the prime factorization.

96 = 2 x 2 x 2 x 2 x 2 x 3

72 = 2 x 2 x 2 x 3 x 3

The GCF is the product of their shared factors.

They share 2, 2, 2, and 3.

2 x 2 x 2 x 3 = 24.

Their GCF is 24.

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belka [17]

1. D

2. D

I don't know the answer to number 3 sorry.

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3 years ago

Read 2 more answers

Evaluate :<br> A. <img src="https://tex.z-dn.net/?f=x%5E%7Bx%5E3%7D%3D3" id="TexFormula1" title="x^{x^3}=3" alt="x^{x^3}=3" alig

sdas [7]

Answer:

$x^{x^3} = 3$
log $x^{x^3}$ = log 3
x³ log x = log 3
3x³ log x = 3 log 3
x³ log x³ = log 3³
$x^3^{x^3}$ = 3³
x³ = 3
x = $3^{1/3}$

4ˣ + 6ˣ = 9ˣ
2²ˣ + 2ˣ3ˣ = 3²ˣ

<u>Divide both sides by 2²ˣ</u>

1 + (3/2)ˣ = (3/2)²ˣ

<u>Substitute (3/2)ˣ = t</u>

t² - t - 1 = 0

<u>Solve for t:</u>

t = (1 ± √5)/2

<u>Positive root is considered as (3/2)ˣ can't be negative.</u>

(3/2)ˣ = (1 + √5)/2
x = log [(1 + √5)/2] / log (3/2)
x = 1.18681439028

7 0

3 years ago

Solve the equation for x in terms of c

Dovator [93]

$solve\:for\:x,\:\frac{2}{3}\left(cx+\frac{1}{2}\right)-\frac{1}{4}=\frac{5}{2}$

$\mathrm{Add\:}\frac{1}{4}\mathrm{\:to\:both\:sides}$

$\frac{2}{3}\left(cx+\frac{1}{2}\right)-\frac{1}{4}+\frac{1}{4}=\frac{5}{2}+\frac{1}{4}$

$\frac{2}{3}\left(cx+\frac{1}{2}\right)=\frac{11}{4}$

$\mathrm{Multiply\:both\:sides\:by\:}3$

$3\cdot \frac{2}{3}\left(cx+\frac{1}{2}\right)=\frac{11\cdot \:3}{4}$

$2cx+1=\frac{33}{4}$

$\mathrm{Subtract\:}1\mathrm{\:from\:both\:sides}$

$2cx+1-1=\frac{33}{4}-1$

$2cx=\frac{29}{4}$

$\mathrm{Divide\:both\:sides\:by\:}2c$

$x=\frac{29}{8c}$

<h3>Therefore, correct option is C. option.</h3><h3>C. x=29/8c</h3>

8 0

3 years ago

5,4,5.5,4.5 and 5.5. What is the mean distance

Anit [1.1K]

The mean distance is 4.9

8 0

3 years ago

HELPPPPP Find the missing parts of the triangle. Round to the nearest tenth when necessary or to the nearest minute as appropria

Romashka-Z-Leto [24]

The missing parts of the triangle ABC are A = 31.4°, B = 57.4°, C = 91.2°

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

Given that a = 8.6 in, b = 13.9 in. and c = 16.5 in. Using cosine rule:

c² = a² + b² - 2abcosC

16.5² = 8.6² + 13.9² - 2(8.6)(13.9) * cosC

C = 91.2°

Also:

a² = b² + c² - 2bccosA

8.6² = 16.5² + 13.9² - 2(16.5)(13.9) * cosA

A = 31.4°

A + B + C = 180° (angles in a triangle)

31.4 + B + 91.2 = 180

B = 57.4°

The missing parts of the triangle ABC are A = 31.4°, B = 57.4°, C = 91.2°

Find out more on equation at: brainly.com/question/2972832

#SPJ1

3 0

2 years ago