Answer:
2(x-3)+2x=54
Step-by-step explanation:
Take the side length of the rectangle as x
For the perimeter we must have - as we also have 2 lots of a side that is 3 inches shorter than x.

Answer:
i. A bar graph is an appropriate display.
ii. A bar graph is appropriate because the frequencies are given.
Step-by-step explanation:
A bar graph is a graphical method that can be used to present an information from a sample of data. It requires drawing of bars of equal width and distance with respect to the information given.
While a pie chart is a method that requires presenting information in a circular chart with respect to each data in sectors of different central angles.
For the given question, the most appropriate method to use is the bar graph with respect to the given information. Thus, the statements that are correct about the data in the table are:
i. A bar graph is an appropriate display.
ii. A bar graph is appropriate because the frequencies are given.
Answer:
Option D (4, -5)
Step-by-step explanation:
This question can be solved by various methods. I will be using the hit and trial method. I will plug in all the options in the both the given equations and see if they balance simultaneously.
Checking Option 1 by plugging (-4, -5) in the first equation:
-2(-4) + 6(-5) = -38 implies 8 - 30 = -38 (not true).
Checking Option 2 by plugging (-5, 4) in the first equation:
-2(-5) + 6(4) = -38 implies 10 + 24 = -38 (not true).
Checking Option 3 by plugging (1, -6) in the second equation:
3(1) - 4(-6) = 32 implies 3 + 24 = 32 (not true).
Since all the options except Option 4 have been ruled out, therefore, (4,-5) is the correct answer!!!
The trick here is to not use sin and cos at all.
The -13/15 is the x coordinate of a line from the origin to the unit circle (the line with angle theta). That happens to be the cos(theta).
The y coordinate is the sin(theta).
You can draw this as a triangle where x^2 + y^2 = 1.
So y = √(1 - (13/15)^2) ≈ 0.49889. But your exact answer should be:
<span>1/10 you can make an equivalent fraction to make 10/100 then you have two numbers with the same denominator then you just add 8+10 which equals 18, therefore, the answer is 18/100 </span>