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2 years ago

What is the lowest term of 8/12?

Mathematics

1 answer:

jeyben [28]2 years ago

6 0

2/3 ♡ because if you divide 8 by 4 you get 2 as your numerator and divide 12 by 4 you get 3 as your denominator

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Show Work Please Thank You

Misha Larkins [42]

Answer:

$\displaystyle{x = \dfrac{\pi}{12}, \dfrac{\pi}{6}}$

Step-by-step explanation:

We are given the trigonometric equation of:

$\displaystyle{\sin 4x = \dfrac{\sqrt{3}}{2}}$

Let u = 4x then:

$\displaystyle{\sin u = \dfrac{\sqrt{3}}{2}}\\\\\displaystyle{\arcsin (\sin u) = \arcsin \left(\dfrac{\sqrt{3}}{2}\right)}\\\\\displaystyle{u= \arcsin \left(\dfrac{\sqrt{3}}{2}\right)}$

Find a measurement that makes sin(u) = √3/2 true within [0, π) which are u = 60° (π/3) and u = 120° (2π/3).

$\displaystyle{u = \dfrac{\pi}{3}, \dfrac{2\pi}{3}}$

Convert u-term back to 4x:

$\displaystyle{4x = \dfrac{\pi}{3}, \dfrac{2\pi}{3}}$

Divide both sides by 4:

$\displaystyle{x = \dfrac{\pi}{12}, \dfrac{\pi}{6}}$

The interval is given to be 0 ≤ 4x < π therefore the new interval is 0 ≤ x < π/4 and these solutions are valid since they are still in the interval.

Therefore:

$\displaystyle{x = \dfrac{\pi}{12}, \dfrac{\pi}{6}}$

8 0

1 year ago

Find the value of x to the nearest tenth

Hitman42 [59]

Answer:

a^2+b^2=c^2

6^2+6^2=72

square root of 72

=8.49(3sf)

c^2-b^2=a^2

x=3

5 0

3 years ago

Read 2 more answers

Round 345276 to the nearest thousand

TiliK225 [7]

Since there is no decimal point, the answer is 345276.

8 0

2 years ago

Read 2 more answers

The point (0, 0) is a solution to which of these inequalities? A. Y - 7 < 2 x - 6 B. Y - 6 < 2 x - 7 C. Y + 7 < 2 x - 6

SCORPION-xisa [38]

Answer:

A. y - 7 < 2 x - 6

Step-by-step explanation:

When you put the given values into the inequalities, you get ...

A: -7 < -6 . . . . true

B: -6 < -7 . . . . false

C: 7 < -6 . . . . .false

D: 7 < 6 . . . . . false

4 0

2 years ago

What is the product of (a-5) and (a+3)

abruzzese [7]

= (a-5).(a+3) = a²+3a-5a-15 = a²-2a-15

3 0

2 years ago