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4 years ago

How much is 4÷30000000

Mathematics

2 answers:

Alenkinab [10]4 years ago

7 0

0.00000013 4 Divided by 30000000 is 0.00000013

yanalaym [24]4 years ago

5 0

4 divided by 30000000 is undefined with an error. However, the quotient is 1.33 repeating.

I hope you like this answer, please Brainliest me, and have a great day! :D

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Cos pi/4 cos pi/6= 1/2(___pi/12+cos 5pi/12) fill in the blank

inessss [21]

Answer:

$\cos(\frac{\pi}{4})\cos(\frac{\pi}{6})=\frac{1}{2}(\cos(\frac{\pi}{12})+\cos(\frac{5\pi}{12}))$

So the blank is cos.

Step-by-step explanation:

There is an identity for this:

$\cos(a)\cos(b)=\frac{1}{2}(\cos(a+b)+\cos(a-b))$

Let's see if this is fit by your left hand and right hand side:

So $a=\frac{\pi}{4}$ while $b=\frac{pi}{6}$ .

Let's plug these in to the identity above:

$\cos(\frac{\pi}{4})\cos(\frac{\pi}{6})=\frac{1}{2}(\cos(\frac{\pi}{4}+\frac{\pi}{6})+\cos(\frac{\pi}{4}-\frac{\pi}{6}))$

Ok, we definitely have the left hand sides are the same.

Let's see if the right hand sides are the same.

Before we move on let's see if we can find the sum and difference of $\frac{\pi}{4}$ and $\frac{\pi}{6}$ .

We will need a common denominator. How about 12? 12 works because 4 and 6 go into 12. That is 4(3)=12 and 6(2)=12.

$\frac{\pi}{4}+\frac{\pi}{6}=\frac{3\pi}{12}+\frac{2\pi}{12}=\frac{5\pi}{12}$ .

$\frac{\pi}{4}-\frac{\pi}{6}=\frac{3\pi}{12}-\frac{2\pi}{12}=\frac{\pi}{12}$ .

Let's go back to our identity now:

$\cos(\frac{\pi}{4})\cos(\frac{\pi}{6})=\frac{1}{2}(\cos(\frac{\pi}{4}+\frac{\pi}{6})+\cos(\frac{\pi}{4}-\frac{\pi}{6}))$

$\cos(\frac{\pi}{4})\cos(\frac{\pi}{6})=\frac{1}{2}(\cos(\frac{5\pi}{12})+\cos(\frac{\pi}{12}))$

We can rearrange the right hand side inside the ( ) using commutative property of addition:

$\cos(\frac{\pi}{4})\cos(\frac{\pi}{6})=\frac{1}{2}(\cos(\frac{\pi}{12})+\cos(\frac{5\pi}{12}))$

So comparing my left hand side to their left hand side we see that the blank should be cos.

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Which ordered pair is a solution of the equation

Sever21 [200]

Answer:

Step-by-step explanation:

2x+3y where it is 2,2 become 4 plus 6 which is 10

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3 years ago

Read 2 more answers

Factor this trinomial x^-6x+8

marusya05 [52]

X^2 - 6x + 8

= (X - 4) (X - 2)

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3 years ago

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1. The angles in an obtuse triangle are x' +45, 2x +95, and 3x+48. Find the measure of the

aliina [53]

9514 1404 393

Answer:

43 2/3°
92 1/3°
44°

Step-by-step explanation:

The sum of angles in any triangle is 180°.

(x +45) +(2x +95) +(3x +48) = 180

6x +188 = 180 . . . . . . . . collect terms

6x = -8 . . . . . . . . . . . subtract 188

x = -4/3 . . . . . . . . divide by 6

Then the angles are ...

x +45 = -4/3 +45 = 43 2/3°

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3x +48 = 3(-4/3) +48 = 44°

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3 years ago

What is the area of the rectangle, in square feet?

yanalaym [24]

9 * 20 will be 180 ft^2 so 180 is your answer

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3 years ago