It would be > (greater than sign). If you need how I got this answer, you could ask me.. :)
The purpose of finding X is to find what X equals but to do that, you would first need to get X by itself using the proper method rules
The actual mural will be 15 feet tall.
To find the height of the mural, we first need to find the scale by dividing Jerome's scale drawing's measurements from the mural's measurements.
Before we do that, we need to make sure our units are the same. Jerome's scale drawing is measured in inches, and the mural is measured in feet. To keep the numbers whole, I'm going to convert the mural's width from feet to inches by multiplying it by 12.
20 × 12 = 240
Now that our units are the same, we can divide Jerome's scale drawing's width from the mural's width to find the scale.
240 ÷ 12 = 20
The scale of Jerome's scale drawing to the mural is 1:20. This means that the mural's measurements are 20 times Jerome's scale drawing.
Now, to find the height, or how tall the actual mural will be, you multiply the height of Jerome's scale drawing, 9 inches, by the scale, 20.
9 × 20 = 180 inches
Since the question is asking how tall the mural will be in feet, you divide 12 from 180 to find the number of feet in 180 inches.
180 ÷ 12 = 15 feet
The actual mural will be 15 feet tall.
Step-by-step explanation:
Let's take the RHS,
we've,
<h3>(<u>Cosa</u><u>/</u><u>2</u><u> </u><u>-</u><u> </u><u>sina</u><u>/</u><u>2</u><u>)</u></h3><h3>(<u>Cosa/</u><u>2</u><u> </u><u>+</u><u> </u><u>sina</u><u>/</u><u>2</u><u>)</u></h3>
Let's Rationalise the Denominator.
we get,
<h3>(<u>Cosa/</u><u>2</u><u> </u><u>-</u><u> </u><u>sina</u><u>/</u><u>2</u><u>)</u><u>^</u><u>2</u></h3><h3><u>(</u><u>cosa</u><u>/</u><u>2</u><u>)</u><u>^</u><u>2</u><u> </u><u>-</u><u> </u><u>(</u><u>sina</u><u>/</u><u>2</u><u>)</u><u>^</u><u>2</u></h3>
The numerator is in form of (a-b)^2 and the denominator is in form of a^2-b^2. Now,
By formula,
<h3>(<u>Cosa/</u><u>2</u><u>)</u><u>^</u><u>2</u><u> </u><u>-2cosa</u><u>/</u><u>2</u><u>.</u><u>s</u><u>i</u><u>n</u><u>a</u><u>/</u><u>2</u><u> </u><u>+</u><u> </u><u>(</u><u>sina</u><u>/</u><u>2</u><u>)</u><u>^</u><u>2</u> </h3><h3> cosa</h3>
Here I substituted Cosa in place of (Cosa/2)^2 - (sina/2)^2 because it's the formula of cosa in sub multiple angle form.
<h3>In the numerator, </h3>
(sina/2)^2 + (Cosa/2)^2 =1.........( by formula)
so we have,
<h3><u>1</u><u> </u><u>-</u><u> </u><u>2</u><u>s</u><u>i</u><u>n</u><u>a</u><u>/</u><u>2</u><u>.</u><u>c</u><u>o</u><u>s</u><u>a</u><u>/</u><u>2</u></h3><h3>Cosa</h3>
<h3 /><h3 /><h3><u>1</u><u> </u><u>-</u><u> </u><u>sina</u> {because 2sina/2.cosa/2=sina)</h3><h3>Cosa</h3>
LHS proved.
Thank You.