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3 years ago

Noah says 4/9 is equivalent to 20/45. Check his work by completing the table of equivalent ratios.

Mathematics

2 answers:

g100num [7]3 years ago

7 0

Noah is correct!!!! 20/45 simplified is 4/9. hope this helps!

Sveta_85 [38]3 years ago

5 0

Answer:

noah is correct

Step-by-step explanation:

i just checked on my graphing calculator

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The value of the 9 is ten times the value of the 9 in 329,513. The value of the 2 is one-tenth the value of the 2 in 7,562. The

nexus9112 [7]

Answer: The number is 90,000.26

Step-by-step explanation:

Extracting key information from the question:-

*** The value of the "9" in Lea's riddle is 10 times the one in 329,513

*** The value of the "2" in the riddle is 1/10 the value of the 2 in 7,562.

*** The value of the 6 in the riddle is one-tenth the value of the 6 in 4.68

*** We are required to solve this possible and reveal the number.

Now, in the number 329,513 the place value of 9 is 9,000. According to the information provided, the value of the 9 in the riddle is ten times the value of the 9 in 329,513.

So, multiplying 9000 by 10 gives:-

9,000 × 10

= 90,000

Again, the value of the 2 in the riddle is one-tenth (1/10) the value of the 2 in 7,562. The value of 2 in 7,562 is 2 units, therefore one-tenth of this 2 units will give:-

1/10 × 2

= 0.2

Similarly, the value of 6 in the puzzle is one-tenth (1/10) the value of the 6 in 4.68; The 6 here is 6 hundredth = 0.6

Therefore, the value of 6 in the puzzle is:

1/10 × 0.6

= 0.06

In order to discover the number in Lea's riddle, we will then add up the calculated values:-

= 90,000 + 0.2 + 0.006

= 90,000.26

This number is the answer to Lea's riddle.

4 0

3 years ago

Find the missing side length. Leave your answer in simplest radical form.

exis [7]

Answer:

4√3

Step-by-step explanation:

For isosoles triangles the legs are congruent

v = u

--------------------

using the pythagorean theorem

(4√6)² = v² + v²

(16 * 6) = 2v²

Divide both sides by 2

16 * 3 = v²

Take the square root of both sides

4√3 = v

6 0

3 years ago

Factor 64 - P.<br> (8 - x(8 - x)<br> (8 + x (8 - x)<br> (X + 8)(x-8)

muminat

Question:

Factor $64-x^2$

(8 - x)(8 - x)

(8 + x) (8 - x)

(X + 8)(x-8)

Answer:

Option B: $(8+x)(8-x)$ is the factor

Explanation:

Given that the expression is $64-x^2$

We need to find the factor of the given expression.

Let us rewrite the expression as $8^2-x^{2}$

Since the expression is of the form $a^2-b^2$ , let us use the identity $a^2-b^2=(a+b)(a-b)$

where a = 8 and b = x

Substituting the values in the identity, then the expression can be written as

$8^2-x^{2}=(8+x)(8-x)$

Thus, the factor of the expression is $(8+x)(8-x)$

Hence, Option B is the correct answer.

4 0

3 years ago

MATHEMATICS<br> Evaluate (0.110 two)³ expressing your answer in base ten.

zysi [14]

Evaluating (0.110 two)³ in base ten is (343/512) ten

The question has to do with number base

<h3>What is number base?</h3>

A number base is a system of numbering used to represent numbers.

<h3>How to evaluate (0.110 two)³ in base ten.</h3>

Since we have (0.110 two)³,we desire to convert 0.110 two to base ten.

So, converting 0.110 two to base ten, following the procedure, we have that

0.110 two = 0 × 2⁰ + 1 × 2⁻¹ + 1 × 2⁻² + 1 × 2⁻³

= 0 × 2⁰ + 1 × 1/2¹ + 1 × 1/2² + 1 × 1/2³

= 0 × 1 + 1 × 1/2 + 1 × 1/4 + 1 × 1/8

= 0 + 1/2 +1/4 + 1/8

= (4 + 2 + 1)/8

= 7/8

So, thus 0.110 two = (7/8) ten

Thus we see that (0.110 two)³ = (7/8)³ ten

= (343/512) ten

So, expressing (0.110 two)³ in base ten is (343/512) ten

Learn more about number base here:

brainly.com/question/27072175

#SPJ1

4 0

1 year ago

Find a ·<br> 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