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3 years ago

There are 9 green beads and 11 blue beads in a box.

Mathematics

1 answer:

Art [367]3 years ago

3 0

I think it is 1/2, not sure

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Help is very much needed. Please help meee outtt!!

Korvikt [17]

Answer:

22222222225555566666

3 0

3 years ago

PROVE THAT:<br><br>cos 20° - sin 20° = \sqrt{2}sin25°<br><br>

Lemur [1.5K]

Answer:

See below.

Step-by-step explanation:

$\cos(20)-\sin(20)=\sqrt{2}\sin(25)$

First, use the co-function identity:

$\sin(90-x)=\cos(x)$

We can turn the second term into cosine:

$\sin(20)=\sin(90-70)=\cos(70)$

Substitute:

$\cos(20)-\cos(70)=\sqrt{2}\sin(25)$

Now, use the sum to product formulas. We will use the following:

$\cos(x)-\cos(y)=-2\sin(\frac{x+y}{2})\sin(\frac{x-y}{2})$

Substitute:

$\cos(20)-\cos(70)=-2\sin(\frac{20+70}{2})\sin(\frac{20-70}{2})\\\cos(20)-\cos(70) =-2\sin(45)\sin(-25)\\\cos(20)-\cos(70)=-2(\frac{\sqrt{2}}{2})\sin(-25)\\ \cos(20)-\cos(70)=-\sqrt{2}\sin(-25)$

Use the even-odd identity:

$\sin(-x)=-\sin(x)$

Therefore:

$\cos(20)-\cos(70)=-\sqrt{2}\sin(-25)\\\cos(20)-\cos(70)=-\sqrt{2}\cdot-\sin(25)\\\cos(20)-\cos(70)=\sqrt{2}\sin(25)$

Replace the second term with the original term:

$\cos(20)-\sin(20)=\sqrt{2}\sin(25)$

Proof complete.

4 0

4 years ago

Cara salary was increased from £28 250 to £29 832 work out the percentage increase in car salary

Luden [163]

5.6 percent homie I gotchu

U do a Proportion

29832/28250=x/100

Then u just solve for x :D

7 0

3 years ago

Find the sum of all two digit whole numbers which are divisible by 11?

tensa zangetsu [6.8K]

Answer:

all two digit whole number which are divisible by 11 are

22+33+44+55+66+77+88+99=484

7 0

3 years ago

Read 2 more answers

The scatter plot shows different students’ grade point averages (GPA) and scores on a test.

hram777 [196]

The y intercept (when x=0) is 40
the slope is 15 ( slope= rise/run= 15/1=15)
therefore, the equation of the line is y=15x+40

3 0

4 years ago