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3 years ago

66.6666666667 as a mixed number in simplest form

Mathematics

2 answers:

pentagon [3]3 years ago

4 0

Answer:

66 67/100

Step-by-step explanation:

a_sh-v [17]3 years ago

3 0

Answer:

Mix Number form: 66 2/3

Simplest Form: 6.66

Hope this helps.

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Which congruence theorem can be used to prove △WXZ ≅ △YZX?

Svetach [21]

Hi there!
The congruency theorem that proves these two triangles congruent is AAS. This is because both triangles have two congruent angles and the side comes from the side that can be proved congruent in both triangles by the reflexive property.
Hope this helps!! :)If there's anything else that I can help you with, please let me know!

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3 years ago

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Use an array or an area model to illustrate how to solve this equation. Then, explain each part of the

valentina_108 [34]

Answer:

870

Step-by-step explanation:

Array model shown below along with description (at the bottom).

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4 years ago

What is the lowest common denominator of ...

Svetllana [295]

Answer:

Step-by-step explanation:

The LCD would be (y + 1) * 2y = 2y² + 2y.

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4 years ago

I know how do it but the fraction is confusing me please help will give branliest

Tomtit [17]

Replace x and y in the equation with what they tell you x and y equal.

2(14) / 13 - 9(1/3)

Now simplify:

2 x 14 = 28

9 x 1/3 = 3

You now have:

28/13-3

Simplify again to het 28/10 this can be reduced to 14/5

6 0

3 years ago

Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line.? y = 2 + se

sertanlavr [38]

Answer:

The volume of the solid is: $\mathbf{V = \pi [ \dfrac{8 \pi}{3} - 2\sqrt{3}]}$

Step-by-step explanation:

GIven that :

$y = 2 + sec \ x , -\dfrac{\pi}{3} \leq x \leq \dfrac{\pi}{3} \\ \\ y = 4\\ \\ about \ y \ = 2$

This implies that the distance between the x-axis and the axis of the rotation = 2 units

The distance between the x-axis and the inner ring is r = (2+sec x) -2

Let R be the outer radius and r be the inner radius

By integration; the volume of the of the solid can be calculated as follows:

$V = \pi \int\limits^{\dfrac{\pi}{3}}_{\dfrac{-\pi}{3}} [(4-2)^2 - (2+ sec \ x -2)^2]dx \\ \\ \\ V = \pi \int\limits^{\dfrac{\pi}{3}}_{\dfrac{-\pi}{3}} [(2)^2 - (sec \ x )^2]dx \\ \\ \\ V = \pi \int\limits^{\dfrac{\pi}{3}}_{\dfrac{-\pi}{3}} [4 - sec^2 \ x ]dx$

$V = \pi [4x - tan \ x]^{\dfrac{\pi}{3}}_{\dfrac{-\pi}{3}} \\ \\ \\ V = \pi [4(\dfrac{\pi}{3}) - tan (\dfrac{\pi}{3}) - 4(-\dfrac{\pi}{3})+ tan (-\dfrac{\pi}{3})] \\ \\ \\ V = \pi [4(\dfrac{\pi}{3}) - tan (\dfrac{\pi}{3}) + 4(\dfrac{\pi}{3})- tan (\dfrac{\pi}{3})] \\ \\ \\ V = \pi [8(\dfrac{\pi}{3}) - 2 \ tan (\dfrac{\pi}{3}) ]$

$\mathbf{V = \pi [ \dfrac{8 \pi}{3} - 2\sqrt{3}]}$

7 0

3 years ago