How can you get 3/3 -1/6?

Mathematics

1 answer:

cluponka [151]3 years ago

5 0

9514 1404 393

Answer:

5/6

Step-by-step explanation:

Addition or subtraction of fractions requires a common denominator. The value 3/3 can be multiplied by 2/2 to give 6/6, which has the same denominator as the other fraction.

$\dfrac{3}{3}-\dfrac{1}{6}=\dfrac{3\cdot2}{3\cdot2}-\dfrac{1}{6}\\\\=\dfrac{6}{6}-\dfrac{1}{6}=\dfrac{6-1}{6}=\boxed{\dfrac{5}{6}}$

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Mr. Richard owns an orchard that has a rectagular fence . The orchard is 36 yards long and 18 yards wide . if he walks across th

Sergio [31]

Answer:

40.2 Yards

Step-by-step explanation:

To find the diagonal length of the orchard, we need to use the Pythagorean Theorem. The formula of the Pythagorean Theorem is:

c²= a² + b²

a = 36 Yards

b = 18 Yards

Now let's plug in our values to the formula.

c² = a² + b²

c² = 36² + 18²

c² = 1296 + 324

c² = 1620

Now to find the value of c we need to get the square root of both sides.

$\sqrt{c^{2}}=\sqrt{1620}$

c = 40.2

So the diagonal length of Mr. Richard's orchard is 40.2 Yards.

7 0

4 years ago

Given cosθ=√3/3 and sinθ<0. What is the value of sinθ?

KATRIN_1 [288]

$\sin^{2} \theta+\cos^{2} \theta=1 \\ \\ \sin^{2} \theta+\left(\frac{\sqrt{3}}{3} \right)^{2}=1 \\ \\ \sin^{2} \theta+\frac{1}{3}=1 \\ \\ \sin^{2} \theta=\frac{2}{3} \\ \\ \theta=-\frac{\sqrt{2}}{\sqrt{3}}=\boxed{-\frac{\sqrt{6}}{3}}$