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4 years ago

What is the answer to 2×1/6=

Mathematics

2 answers:

Gennadij [26K]4 years ago

8 0

$2\times\frac{1}{6}=\frac{2}{6}=\frac{2\times1}{2\times3}=\frac{1}{3}$

Scorpion4ik [409]4 years ago

6 0

A simple way to answer this is to do 1/6 of 2 which equals 1/3

(saying a fraction than of then another number is another to show multiplication)

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Explain why the relationship is not linear.

zheka24 [161]

So, to be a linear relationship....the difference between the two consecutive "x" values and the difference between the two consecutive "y" values must be same.

In this case,
if we look at the x values , 4 - 3 = 1
3 - 2 = 1
2 - 1 = 1
they are all the same,
BUT, if we look at the y values, 11.5 - 8.5 = 3
8.5 - 6.5 = 2
6.5 - 4.5 = 2
Here, the differences between the "y" values are all not the same.

SO, the relationship is not linear.

4 0

4 years ago

Find the Value of Sin A rounded to the nearest hundredth, if necessary.

leonid [27]

Step-by-step explanation:

In trigonometry, the law of sines is an equation that relates the length of the sides of a triangle (any type of triangle) to the sines of its angles. This is expressed mathematically as

$\displaystyle\frac{a}{\sin \alpha} \ = \ \displaystyle\frac{b}{\sin \beta} \ = \ \displaystyle\frac{c}{\sin \gamma}$ ,

where $a$ , $b$ , and $c$ are the lengths of the sides of the triangle and $\alpha$ , $\beta$ , and $\gamma$ are the opposite angles (as shown in the figure below). Likewise, the law is sometimes written as it reciprocals,

$\displaystyle\frac{\sin \alpha}{a} \ = \ \displaystyle\frac{\sin \beta}{b} \ = \ \displaystyle\frac{\sin \gamma}{c}$ .

Therefore,

$\displaystyle\frac{\sin A}{BC} \ = \ \displaystyle\frac{\sin B}{AC} \\ \\ \\ \sin A \ = \ \displaystyle\frac{\sin B \ \times \ BC}{AC} \\ \\ \\\sin A \ = \ \displaystyle\frac{\sin \left(90^{\circ}\right) \ \times \ \sqrt{\left(10\right)^{2} \ - \ \left(\sqrt{78}\right)^{2}}}{10} \\ \\ \\ \sin A \ = \ \dsiplaystyle\frac{\sqrt{22}}{10} \\ \\ \\ \sin A \ = \ 0.47 \ \ \ \ (\text{nearest hundredth})$

Alternatively, you can solve this question using the definition of the trigonometric function sine. For the angle $\theta$ in the figure below,

$\sin \theta \ = \ \displaystyle\frac{\text{opposite}}{\text{hypothenuse}}$ .

Therefore,

$\sin A \ = \ \displaystyle\frac{BC}{AC} \\ \\ \\ \sin A \ = \ \displaystyle\frac{\sqrt{\left(10\right)^{2} \ - \ \left(\sqrt{78}\right)^{2}}}{10} \\ \\ \\ \sin A \ = \ \displaystyle\frac{\sqrt{22}}{10} \\ \\ \\ \sin A \ = \ 0.47 \ \ \ \ (\text{nearest hundredth})$

8 0

3 years ago

A sailor on leave drove to Yosemite Park from his home at 60 miles per hour. On his trip home his rate was 10 miles per hour les

NeTakaya

We need to know the distance
Distance = speed × time
Speed = 60 - 10 = 50 mph
Time = 1 hr
Therefore Distance = 50 × 1 = 50 miles

8 0

3 years ago

Buy any mistakes in the renaming of the fractions below show the correct remaining 9 / 4 = 9 / 12 2 / 3 + 6 / 12

Klio2033 [76]

Step-by-step explanation:

3/4=9/12 CORRECT

2/3=6/12 FALSE

Step-by-step explanation:

What is done to top of the fraction must be done to the bottom as well in order for the renaming to be true.

3*3 = 9

4*3 = 12

Therefore proven to be true

However,

2*3 = 6

but 3*3 = 9

The second fractions is renamed incorrectly and should be either 2/4=6/12 or 2/3=2/9

Hope this helps!

7 0

3 years ago

Jamie has a rectangular pool that has a length of 12 feet and a

soldier1979 [14.2K]

Answer:

Step-by-step explanation:

Given,

Perimeter of a rectangular pool (P) = 40 feet

Length of the pool (l) = 12 feet

Let,

Width of the pool be = w

As we know,

Perimeter of a rectangle = 2(length + width)

Therefore,

By the problem,

=> 2(l + w) = P

[On substituting the values of l = 12 and P = 40]

=> 2(12 + w) = 40

[On multiplying 2 with 12 and w]

=> 24 + 2w = 40

[On subtracting both sides with 24]

=> 24 - 24 + 2w = 40 - 24

[On Simplifying]

=> 2w = 16

[On Dividing both sides with 2]

=> $\frac{2w}{2}$ = $\frac{16}{2}$

[On Simplifying]

=> w = 8

Hence,

The required width of the pool is 8 feet. (Ans)

8 0

2 years ago

Read 2 more answers