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3 years ago

Why does it take 3 copies of 1/6 to show the same amount as 1 cooy of 1/2

Mathematics

1 answer:

aleksandrvk [35]3 years ago

4 0

Because 1/2 = 3/6
therefore you have to multiply 1/6 by 3 to achieve that.

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I will give 5 points

ikadub [295]

Use the sum of cubes factoring rule

$a^3 + b^3 = (a+b)(a^2 - ab + b^2)$

to transform the left hand side into the right hand side.

$\frac { \sin^{3} \theta + \cos^{3} \theta } { \sin \theta + \cos \theta } = 1 - \sin \theta \cdot \cos \theta\\\\\frac { (\sin \theta + \cos \theta)(\sin^2 \theta - \sin \theta \cdot \cos\theta + \cos^2 \theta) } { \sin \theta + \cos \theta } = 1 - \sin \theta \cdot \cos \theta\\\\$

$\sin^2 \theta - \sin \theta \cdot \cos\theta + \cos^2 \theta = 1 - \sin \theta \cdot \cos \theta\\\\(\sin^2 \theta + \cos^2\theta)- \sin \theta \cdot \cos\theta = 1 - \sin \theta \cdot \cos \theta\\\\1- \sin \theta \cdot \cos\theta = 1 - \sin \theta \cdot \cos \theta \ \ \checkmark\\\\$

Throughout the entire process, the right hand side stayed the same.

On the last step, I used the pythagorean identity.

8 0

1 year ago

Mr. johnson was paid $190 for a job that required 40 hours of work. at this rate, how much should he be paid for a job requiring

yarga [219]

190 / 40 = $4.75 an hour
4.75 • 60 = 285

At the same rate, he should be paid $285 for 60 hours of work

7 0

3 years ago

Read 2 more answers

Plase help me it would mean a lot

IRINA_888 [86]

Answer:

Drink A

Step-by-step explanation:

Let's find the amount of sugar in each drink in every 35 ounces. (since 35 is the lowest common multiple of 5 and 7)

Drink A

5 fluid ounces --- 11g of sugar

35 fluid ounces --- 11 ×7= 77g of sugar

Drink B

7 fluid ounces --- 10g of sugar

35 fluid ounces --- 10 ×5= 50g of sugar

Since drink A has more sugar in every 35 ounces than drink B, drink A is sweeter.

6 0

2 years ago

What is the correct value of z? A. Z=12 B. Z=13 C. Z=10 D. Z=11

inna [77]

<h3>Answer: A) z = 12</h3>

==========================================

Work Shown:

RS = RT

2z-15 = 9

2z = 9+15

2z = 24

z = 24/2

z = 12

The reason why RS is equal to RT in the first equation is because we have an isosceles triangle. Recall that any isosceles triangle has exactly two sides the same length, and the opposite base angles are congruent to one another. The congruent angles are indicated with the single arcs.

In short: the base angles S and T are congruent, so the opposite sides RS and RT are the same length. This leads to RS = RT.

3 0

2 years ago

1,-1 after a translation left 4 units and down 5 units

Alexxx [7]

Answer:

-3,-6? im not sure what you're asking

Step-by-step explanation:

Using the coordinate plane, if you move 4 units to the left of 1 you get -3, moving it down 5 you get -6 then plug them in to the ordered pair (x,y) so (-3,-6)

3 0

3 years ago