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djyliett [7]
3 years ago
6

Sin(5x+15)=cos(4x−6)

Mathematics
1 answer:
Thepotemich [5.8K]3 years ago
8 0

Answer:

Step-by-step explanation:

you know ; for all reals a ; cos(π/2 - a) = sin(a)

so : sin(5x+15) = cos(π/2-(5x+15) ) = cos(π/2-5x-15)

sin(5x+15)=cos(4x−6)  eqivaut : cos(π/2-5x-15) = cos(4x−6)

note : cos(a)=cos(b)  :  a= b +2kπ  or a= - b +2kπ ....k in Z

π/2-5x-15 = 4x−6 + 2kπ    or π/2-5x-15 = - (4x−6) + 2kπ....k in Z

continue calculate : x .......

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The LCM and the GCF of two numbers is 120 and 8 respectively. If the first number is 24, find the other number​
Ivanshal [37]

Answer: The other no. is 5

Step-by-step explanation: Let the other no. be x

x = LCM/First no.

x = 120/24 = 5

The other no. is 5

7 0
3 years ago
A racquetball club membership costs $22.50 per month. What would a year’s membership cost?
dsp73

Answer:

270 dollars for a year, so 22.50 times 12

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Write the equation in standard form for the circle with radius 9 centered at the origin.
amid [387]
The standard form of the equation of a circle of radius r, with (assuming centre h, k) is given as:

(X-h)^2 + (y-k)^2 = r^2

As we are required to write an equation in standard form for the circle with radius 9 centred at the origin.
Centre(h,k)=(0,0), r=9

Substituting these values into the standard form of the equation of a circle given above:

(X-0)^2 + (y-0)^2 = 9^2
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I’m pretty sure this is right
8 0
2 years ago
Consider the following.
zhuklara [117]

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The slope is -5/6

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To find the slope of a line given two points, we use the formula

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3 years ago
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1360 concert tickets were sold for a total of $13,328. If students paid $8 and non students paid $12, how many student tickets w
lyudmila [28]

748 student tickets were sold.

Step-by-step explanation:

Given,

Number of tickets sold = 1360

Revenue generated = $13328

Cost of each student ticket = $8

Cost of each non student ticket = $12

Let,

x be the number of student tickets sold

y be the number of non student tickets sold

According to given statement;

x+y=1360        Eqn 1

8x+12y=13328    Eqn 2

Multiplying Eqn 1 by 12

12(x+y=1360)\\12x+12y=16320\ \ \ Eqn\ 3

Subtracting Eqn 2 from Eqn 3

(12x+12y)-(8x+12y)=16320-13328\\12x+12y-8x-12y=2992\\4x=2992\\

Dividing both sides by 4

\frac{4x}{4}=\frac{2992}{4}\\x=748

748 student tickets were sold.

Keywords: linear equation, elimination method

Learn more about elimination method at:

  • brainly.com/question/774670
  • brainly.com/question/763150

#LearnwithBrainly

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