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3 years ago

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.

_____

Additional comment

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

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Hence, simplified.

4 0

2 years ago

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iren2701 [21]

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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:

Step 1: Find equivalent to -3/8

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

-6/16

Answer: -6/16

7 0

3 years ago

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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