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dybincka [34]
3 years ago
10

HELP Math will give 25 brainly points

Mathematics
2 answers:
aleksklad [387]3 years ago
7 0
51 degrees should be the correct answer
77julia77 [94]3 years ago
4 0

9514 1404 393

Answer:

  51°

Step-by-step explanation:

The angles where the expressions are given are a linear pair, so total 180°.

  (3x +15) +(10x +9) = 180

  13x = 156 . . . . . . . . . . . . . . . subtract 24, collect terms

  x = 156/13 = 12

Then the acute angle is ...

  3x +15 = 3(12) +15 = 36 +15 = 51

The stairs make an angle of 51° with the basement floor.

_____

<em>Additional comment</em>

Building code requires the rise to be not more than 8 and the run not less than 9, so the maximum angle is about 41.6°. A 51° staircase would not meet code.

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Simplify the expression using trigonometric identities: sec (–θ) – cos θ.
ololo11 [35]

Answer:

sin θ . tan θ

Step-by-step explanation:

Note : -

sec ( - θ ) = sec θ

Formula / Identity : -

sec θ = 1 / cos θ

sec ( - θ ) - cos θ

= [ 1 / cos θ ] - cos θ

{ LCM = cos θ }

= [ 1 / cos θ ] - [ cos²θ / cos θ ]

= [ 1 - cos²θ ] / cos θ

{ 1 - cos²θ = sin²θ }

= sin²θ / cos θ

{ sin²θ = sin θ . sin θ }

= sin θ . sin θ / cos θ

{ sin θ / cos θ = tan θ }

= sin θ . tan θ

Hence, simplified.

4 0
2 years ago
)A poster is shown below 3ft and 12 ft
iren2701 [21]
The answer your looking for is 7.5ft by 1.5ft hope this helped have a nice day :)
6 0
3 years ago
Read 2 more answers
What decimal is equivalent to negative 3/8
Fittoniya [83]

Answer:

-6/16

Step-by-step explanation:

<u>Step 1:  Find equivalent to -3/8</u>

(-3*2) / (8*2)

<em>-6/16</em>

Answer:  -6/16

7 0
3 years ago
Read 2 more answers
It takes three identical water pumps 8 hours to fill a pool, What is the constant of variation?
BaLLatris [955]

Answer:

Constant of variation is 24.

Step-by-step explanation:

Inverse variation states that a relationship between two variables in which the product is remain constant.

If one variable increases then, the other one decreases in proportion so that the product is unchanged,

if y is inversely proportional to x i.e y \propto\frac{1}{x} or

y =\frac{k}{x} ;where k is the constant of variation.

It is given that 3 identical water pumps takes 8 hours to fill a pool,

since, it will take less time with  more pumps, so it is an inverse variation.

By definition of inverse variation;

time = \frac{k}{pump}

Substitute the values to solve for k;

8 = \frac{k}{3}

Multiply by 3 to both sides we get;

8 \times 3 = \frac{k}{3} \times 3

Simplify:

k = 24

Therefore, the constant of variation is, 24

3 0
3 years ago
Find the area of the figure. Use 3.14 for A.
BARSIC [14]

Answer: I think the answer might be 140 square meters

I really hope this helps!

Step-by-step explanation:

5 0
3 years ago
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