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2 years ago

12.054 compared to 12.54 need to know

Mathematics

1 answer:

Bond [772]2 years ago

6 0

Answer:

Below in bold.

Step-by-step explanation:

12.054 is about 0.9612 of 12.54.

12.054 is 12.54 - 12.054 = 0.486 less than 12.54.

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Cos(−θ)=√3/3, sinθ<0

Delicious77 [7]

Answer:

$\sin\theta=-\frac{\sqrt{6}}{3}$

Step-by-step explanation:

The given trigonometric equation is $\cos(-\theta)=\frac{\sqrt{3} }{3}$ .

We can either use the Pythagorean identity or the right angle triangle to solve for $\sin\theta$ .

According to the Pythagorean identity,

$\cos^2\theta+\sin^2\theta=1$

Recall that, the cosine function is an even function, therefore

$\cos(-\theta)=\cos(\theta)$

$\Rightarrow \cos(\theta)=\frac{\sqrt{3} }{3}$ .

We substitute this value in to the above Pythagorean identity to get;

$(\frac{\sqrt{3}}{3})^2+\sin^2\theta=1$

$\Rightarrow \frac{3}{9}+\sin^2\theta=1$

$\Rightarrow \sin^2\theta=1-\frac{3}{9}$

$\Rightarrow \sin^2\theta=\frac{6}{9}$

$\Rightarrow \sin\theta=\pm \sqrt{\frac{6}{9}}$

$\Rightarrow \sin\theta=\pm \frac{\sqrt{6}}{3}$

But we were given that,

$\sin\theta\:$ , so we choose the negative value.

$\Rightarrow \sin\theta=-\frac{\sqrt{6}}{3}$

The correct answer is B

7 0

3 years ago

Select all that are equivalent to the repeating decimal

Brrunno [24]

Answer:

8/24

Step-by-step explanation:

8/24 = 1/3 = 0.33333333...

8 0

2 years ago

Help me please, i need to turn this in quick and im struggling.

erik [133]

Answer:

3) 0.75

5)96 pens

Step-by-step explanation:

3) 5 percent *15 =

( 5:100)*15 =

( 5*15):100 =

75:100 = 0.75

5) 48/4= 12

12*8=96

8 0

3 years ago

one batch of cookies makes 24 cookies. the recipe calls for 1 3/4 cups of flour. if Sarah needs to make 60 cookies how much flou

Svetllana [295]

Answer:

4 3/8 cups of flour needed for 60 cookies

Explanation:

You can multiply 24 by 2.5 to get 60 so you'd multiply the cups of flour by 2.5 as well. You multiply both of them by the same number because it's a ratio. You'd multiply then simplify to get the answer 4 3/8 cups of flour.

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3 years ago

A car travels 416 miles in eight hours at that rate how far will the car travel in 22 hours

alisha [4.7K]

Speed = 416 miles / 8hrs = 52 miles per hr.

Distance = Speed * Time = 52 * 22 = 1144miles

7 0

3 years ago