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Andrew [12]
3 years ago
11

Slove it this question​

Mathematics
1 answer:
Hatshy [7]3 years ago
4 0

Answer:

a = 60°

Step-by-step explanation:

Formula used:

\red{\boxed {\bold {\tan \: \theta = \cot \: (90\degree - \theta)}}}

\tan \: 30 \degree =  \cot \: a \\  \cot \: (90 \degree - 30 \degree) = \cot \: a  \\ cot \: 60  \degree =    \cot \: a  \\ 60  \degree =  a \\ \huge \red{ \boxed{ a = 60  \degree}}

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REASONING A rectangular box for a new product is designed in such a way that
dsp73

Answer:

(2x+3) y (3x+5)

Step-by-step explanation:

For this exercise we have that the volume is

V = 6x ^ 3 + 31X ^ 2 + 53x + 30

H = X + 2

The formula for the Volume its

V = H * L * W

for find L and W (width and length) we divide V / H = L * W

So,

\frac{V}{H} =\frac{6X^{3}+31X^{2}+53X+30 }{X+2}=(2x + 3) * (3x + 5)\\

this division is in the attachment

so, L * W = (2x + 3) * (3x + 5)

6 0
3 years ago
2/3 of the sum of three times a number and six is 10. what is the number?
mestny [16]

9514 1404 393

Answer:

  3

Step-by-step explanation:

Let x represent the number. The problem statement tells you ...

2/3(3x +6) = 10

  2x +4 = 10 . . . . . . use the distributive property

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  x = 3 . . . . . . . . . . .subtract 3

The number is 3.

__

<em>Comment on the solution</em>

The above shows an "alternative" solution method. The more usual way this might be done is ...

  2(3x +6) = 30 . . . . . multiply by 3 to clear fractions

  6x +12 = 30 . . . . . . . eliminate parentheses

  6x = 18 . . . . . . . . . . . subtract 12

  x = 3 . . . . . . . . . . . . divide by 6

3 0
3 years ago
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Step-by-step explanation:

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5 0
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vladimir2022 [97]

Answer:

1 out of 6

Step-by-step explanation:

6 0
4 years ago
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