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2 years ago

Comparing Fractions Choose the correct symbol to compare the fractions please see attached image

Mathematics

1 answer:

Elza [17]2 years ago

8 0

Answer:

Step-by-step explanation:

Given: $\frac{1}{2} ? \frac{1}{3}$

Want: Which fraction is larger?

To identify the size of a fraction, converting it into a fraction is easier

$\frac{1}{2}$ = 0.5

$\frac{1}{3}$ = 0.33

where 0.5 is greater than 0.33

Choices:

< is less than symbol

> is greater than symbol

= is equal to

$\frac{1}{2} > \frac{1}{3}$

Learn more about the Fractions at brainly.com/question/280013

Visual Representation:

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Use the equation a = IaIâ

german

Answer:

a) $\:\:=\sqrt{14}\cdot \frac{\:\:}{\sqrt{14} }$

b) $\:\:=\sqrt{29} \cdot \frac{\:\:}{\sqrt{29} }$

c) $\:\:=7\cdot \frac{\:\:}{7}$

Step-by-step explanation:

a) Let a=<2,1,-3>

The magnitude of a is $|a|=\sqrt{2^2+1^2+(-3)^2}$

$|a|=\sqrt{4+1+9}=\sqrt{14}$

The unit vector in the direction of a is

$\hat{a}=\frac{\:\:}{\sqrt{14} }$

Using the relation $a=|a|\hat{a}$ , we have

$\:\:=\sqrt{14}\cdot \frac{\:\:}{\sqrt{14} }$

b) Let a=2i - 3j + 4k

$|a|=\sqrt{2^2+(-3)^2+4^2}$

$|a|=\sqrt{4+9+16}=\sqrt{29}$

$\hat{a}=\frac{\:\:}{\sqrt{29} }$

Using the relation $a=|a|\hat{a}$ , we have

$\:\:=\sqrt{29} \cdot \frac{\:\:}{\sqrt{29} }$

c) Let us first find the sum of <1, 2, -3> and <2, 4, 1> to get:

<1+2, 2+4, -3+1>=<3, 6, -2>

Let a=<3, 6, -2>

The magnitude is

$|a|=\sqrt{3^2+6^2+(-2)^2}$

$|a|=\sqrt{9+36+4}=\sqrt{49}=7$

The unit vector in the direction of a is

$\hat{a}=\frac{\:\:}{7}$

Using the relation $a=|a|\hat{a}$ , we have

$\:\:=7\cdot \frac{\:\:}{7}$

5 0

3 years ago

How many different ways can the letters of "Mississippi" be arranged.

Scrat [10]

Answer: .........34,650

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Jack made 9 identical bags using 5 yards of fabric. How much fabric did Jack use for each bag? Solve on paper and check your wor

meriva

Answer: 5/9 yards

Step-by-step explanation:

From the question, we are informed that Jack made 9 identical bags using 5 yards of fabric.

To calculate the amount of fabric that Jack use for each bag, we have to divide 5 by 9. Thus will be:

= 5 / 9

Therefore, it means that Jack used 5/9 yards for each bag

5 0

2 years ago

What is the answer to this Question 2/5(2y+x-6)

hammer [34]

Answer:

4y/5+2x/5-12/5

Step-by-step explanation:

4 0

3 years ago

Solve x ^ 2 - 3x = - 8 using the quadratic formula.

Sergio039 [100]

Answer: $\frac{3 +- \sqrt{23}i}{2}$ If using complex numbers, or undefined if using all real numbers

Step-by-step explanation:

Moving -8 to the left side of the eq by adding both sides by 8=

x^2-3x+8=0

The quad formula: $\frac{-b +- \sqrt{b^2-4ac}}{2a}$

a=1 b=-3 c=8

Inserting a b c values into formula: $\frac{-(-3) +- \sqrt{(-3)^2-4(1)(8)}}{2(1)}$

Simplifying: $\frac{3 +- \sqrt{9-32}}{2}$

$\frac{3 +- \sqrt{-23}}{2}$ Since the square root of a negative number doesn't exist in the set of real numbers, the equation is undefined.

$\frac{3 +- \sqrt{23}i}{2}$ Using complex numbers i, to replace the negative number created by subtracting 9-32.

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2 years ago