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3 years ago

Can someone help me with this exercise?

Mathematics

1 answer:

Ber [7]3 years ago

5 0

Answer:

If you need help on a mathmatical excercise use this thing called m a t h w a y it has helped me alot you just type in the question and choose how you want it solved hope this is helpful

Step-by-step explanation:

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HELP PLEASE!

taurus [48]

Answer:

9 feet

Step-by-step explanation:

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3 years ago

Which measurement is the best estimate for the height of a backyard fence?

hammer [34]

2m is the best estimate. It’s an appropriate measurement.

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3 years ago

Find the nth term of the sequence 7, 17, 27, 37

dangina [55]

Answer:

Step-by-step explanation:

7 plus 10 = 17, 17 plus 10, 27 and it goes on. pls give brainliest

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3 years ago

Read 2 more answers

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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3 years ago

Kate made 180 ounces of punch for a party.She serves the punch in 8punce cups.How many full cups can she serve?

Artyom0805 [142]

She can serve a total of 23 cups atnthe party

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3 years ago