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stiv31 [10]
3 years ago
14

Find all solutions of the equation. 5 sin x − 82√ = 3 sin x − 72√

Mathematics
1 answer:
Andrei [34K]3 years ago
6 0

Answer:

  • x = arcsin(√20.5 -3√2) +2kπ . . . k any integer
  • x = π - arcsin(√20.5 -3√2) +2kπ . . . k any integer

Step-by-step explanation:

Add √(82) -3sin(x) to both sides to get ...

  2sin(x) = √82 -√72

Now, divide by 2 and find the arcsine:

  sin(x) = (√82 -√72)/2

  x = arcsin((√82 -√72)/2)

Of course, the supplement of this angle is also a solution, along with all the aliases of these angles.

___

In degrees, the solutions are approximately 16.562° and 163.438° and integer multiples of 360° added to these.

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one night a baseball game sold 548 tickets. An adults ticket costs $7.50 and a child's ticket costs $2.50. In all $2890 was take
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I divided the whole number by 2 and that was 1445 and then divided 1445 by 2.50 which was 578 and did the same thing except divided by 7.50 so its 578 kids and 192 adults
5 0
3 years ago
The graphs below are both absolute value functions. The equation of the redgraph is f(x) = |xl. Which of these is the equation o
grigory [225]

ANSWER

\Rightarrow y=\frac{1}{2}|x|

EXPLANATION

We want to find the absolute value function for the line in blue.

The general form of an absolute value function is:

y=a|x-h|+k

where (h, k) = vertex

From the line, the vertex of the graph in blue is:

(0,0)

To find a, we have to pick a point (x, y) on the line and input it into the general function.

Let us pick (2, 1).

Therefore, we have:

\begin{gathered} 1=a|2-0|+0 \\ 1=a|2|=2a \\ \Rightarrow a=\frac{1}{2} \end{gathered}

Therefore, the absolute value function is:

\begin{gathered} y=\frac{1}{2}|x-0|+0 \\ \Rightarrow y=\frac{1}{2}|x| \end{gathered}

3 0
1 year ago
What is the area of this composite figure?
Gelneren [198K]

Answer:

249 centimeters squared

Step-by-step Explanation:

The area of the rectangle: l x w, where l is the length and w is the width.

= 15.5 x 18

= 279

Area of the smaller rectangle: l x w, where l is the length and w is the width.

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= 30

We do not need this 30.

Area of the shaded region:

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= 249 cm²

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2 years ago
Pam ask you to help her with the catering for the funeral. you decide to use juice concentrate to serve as a refreshing drink. t
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Answer:

6.25 litres

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= 6.25 litres of concentrate

8 0
2 years ago
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Help please!! a pex test!!
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Answer:

the domain is -5 to infinity

Explanation:

f

(

x

)

=

√

x

+

5

A square root is

≥

0

so

x

+

5

≥

0

Here is a graph of the function

x

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−

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g

r

a

p

h

{

√

x

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[

−

10

,

10

,

−

5

,

5

]

}

6 0
2 years ago
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