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bearhunter [10]
3 years ago
9

The graph shows the number of public service announcements that a radio station played throughout the day. Which equation can be

used to represent the number of public service announcements, y, in x hours
Mathematics
1 answer:
FromTheMoon [43]3 years ago
5 0

Answer:

y = (N/24)x

Step-by-step explanation:

Let N be the no. of announcements per day (in 24 hours)

N/24 per hour

y = (N/24)x

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A(3,4) and B(-3,2) are pointd on a coordinate plane. find the coordinate of a points C on the x axis such that AC=BC​
mr Goodwill [35]

Answer:

Step-by-step explanation:

Here's the game plan. In order to find a point on the x-axis that makes AC = BC, we need to find the midpoint of AB and the slope of AB. From there, we can find the equation of the line that is perpendicular to AB so we can then fit a 0 in for y and solve for x. This final coordinate will be the answer you're looking for. First and foremost, the midpoint of AB:

and

Now for the slope of AB:

and

 So if the slope of AB is 1/3, then the slope of a line perpendicular to that line is -3. What we are finding now is the equation of the line perpendicular to AB and going through (0, 3):

and filling in:

y - 3 = -3(x - 0) and

y - 3 = -3x + 0 and

y - 3 = -3x so

y = -3x + 3. Filling in a 0 for y will give us the coordinate we want for the x-intercept (the point where this line goes through the x-axis):

0 = -3x + 3 and

-3 = -3x so

x = 1

The coordinate on the x-axis such that AC = BC is (1, 0)

7 0
2 years ago
Trigonometric equations<br><br> 5sinx = 3sinx + square root of 2
Lera25 [3.4K]

\qquad\qquad\huge\underline{{\sf Answer}}♪

Let's solve for x ~

\qquad \sf  \dashrightarrow \:5 \sin(x)  = 3 \sin(x)   +  \sqrt{2}

\qquad \sf  \dashrightarrow \:5 \sin(x)  - 3 \sin(x)  =  \sqrt{2}

\qquad \sf  \dashrightarrow \:2 \sin(x)  =  \sqrt{2}

\qquad \sf  \dashrightarrow \: \sin(x)  =  \sqrt{2}  \div 2

\qquad \sf  \dashrightarrow \: \sin(x) =  \frac{1}{ \sqrt{2} }

\qquad \sf  \dashrightarrow \:x = 45 \degree \:  \: or \:  \:  \frac{\pi}{4}  \: rad

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4 0
2 years ago
Trig help please<br><br> Find the exact value of each trigonometric equation
gavmur [86]

The exact value for the equation is true but I don't really think that's the question so anyways...

- 15.) The exact form for this equation is -13pi/3 and the decimal form -13.613...

- 16.) The exact form for this equation is 23pi/4 and the decimal form 18/064...

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7 0
3 years ago
Read 2 more answers
Need help on number 2 plz I appreciate it thank you so much
vladimir1956 [14]

Answer:

\angle PQR, \angle SQR, and \angle PQS

Or

angle PQR, angle SQR and angle PQS

Step-by-step explanation:

The three different angles in the diagram are angle PQR, angle SQR and angle PQS.

Another way of writing this is using an angle sign before the alphabets follows. Thus:

\angle PQR, \angle SQR, and \angle PQS

6 0
3 years ago
Find the total surface area of the prism.<br><br> 13 in.<br> 9 in.<br> 15 in.<br><br> Need asap
natta225 [31]

Answer:

The surface area of a rectangular prism with length of

15, a width of 9 and a height of 13 is:

894.0000 square units.

not sure

Step-by-step explanation:

To find the surface area, use this rectangular prism surface area

formula:

Surface Area =

[(Length x Width) + (Length x Height) + (Width x Height)] x 2

Example: The surface area of a rectangular prism with length of

3 inches, width of 4 inches, and height of 5 inches:

Surface Area = [(3 x 4) + (3 x 5) + (4 x 5)] x 2

Calculated out this gives a surface area of 94 Square Inches.

(not the answer example)

3 0
3 years ago
Read 2 more answers
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