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3 years ago

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Mathematics

1 answer:

Inga [223]3 years ago

7 0

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Estimate : 1) 48% of 8 2) 3% of 119 3) 26% of 32 4) 76% of 280

zaharov [31]

1) 48% of 8=3.84
2) 3% of 119=3.57
3) 26% of 32=8.32
4) <span>76% of 280=212.8

Hope this helps ya!</span>

7 0

3 years ago

Are these equations equal ?

Artyom0805 [142]

Yes.

explanation:
for the first one, you can factor out a 5 leaving you the same answer as the other one
and for the second one, you can factor out a 3, leaving you the same answer

hope it helps!

5 0

2 years ago

Can anyone help me with these two problems?

Veseljchak [2.6K]

Show

$\dfrac{\sin ^2 x + \sin x \cos x}{\cos x - 2 \cos^3 x} = \dfrac{\tan x}{\sin x - \cos x}$

I don't like this computer aided instruction holding my hand. I'll ignore that at first so I can compare my solution to the one being taught.

We can see how a tan factors out; let's see what's left.

$\dfrac{\sin ^2 x + \sin x \cos x}{\cos x - 2 \cos^3 x}$

$=\dfrac{\sin x}{\cos x} \cdot \dfrac{ \sin x + \cos x}{1 - 2 \cos^2 x}$

We need to factor out a sin x + cos x in the denominator so let's change one of the squared cosines to squared sine.

$= \tan x \dfrac{ \sin x + \cos x}{1 - \cos^2 x - (1 - \sin ^2 x)}$

$= \tan x \dfrac{ \sin x + \cos x}{\sin^2 x - \cos^2 x}$

$= \tan x \dfrac{ \sin x + \cos x}{(\sin x + \cos x)(\sin x - \cos x)}$

$=\dfrac{\tan x}{\sin x - \cos x} \quad\checkmark$

OK, now I can look at what they did.

First step ok, the box is 2 cos^2 x

Second step they changed the 1, box same as before: 2 cos^2 x

Third box matches our proof, cos^2 x

Fourth box our last box didn't change: cos^2 x

Fifth box: sin x + cos x

6 0

3 years ago

The sum of two numbers is 41. The larger number is 21 more than the smaller number. What are the numbers

mafiozo [28]

Step-by-step explanation:

a+b=41

let larger number be a and smaller be b

a=21+b

placing value of a in a+b=41

21+b+b=41

2b=41-21

b=20÷2

b=10

so a=21+10

=31

3 0

3 years ago

PLEASE HELP ASAP!!!!!!!!!!

Thepotemich [5.8K]

...

I think a 6x6 dice has 36 numbers, right? Lets do this.

4/36 = 1/9

1/36 = 1/36

1/324.

1/324 is the answer I believe. I hope this helped you out!

7 0

4 years ago