Need to be taught how to do this, thanks
1 answer:
Answer:
x = 36.27
Step-by-step explanation:
By using the steps to find sin θ backwards, we can find x, the hypotenuse.
sin θ = or side
(as seen in my example picture).
We already know the value for sin (α), which is 32° because its given. The opposite side (a) is 20 and the hypotenuse side (c) is x which are both also given.
So the equation now looks like:
sin 32° =
Don't solve for the sin 32 yet! First, we have to isolate the variable.
To get rid of the x in the denominator you have to multiply both sides by x:
( sin 32 ) · x = ( ) · x
( sin 32 ) x = 20
Then, you have to divide both sides by sin 32 to get x by itself:
(( sin 32 ) x ) ÷ ( sin 32 ) = 20 ÷ ( sin 32 )
x = 20 ÷ ( sin 32 )
Lastly, you have to use a calculator to find 20 ÷ ( sin 32 ), and it should give you 36.2695543766.
The question asks you to round to 2 decimal places so:
x = 36.27
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To find the area of a rectangle the formula is:
Area = length * height
A = L * H
In this case:
L = 3x
H = 2x
^^^In-put these values into the equation given above
A = 3x * 2x
Now you must multiply them together.
When multiplying numbers with variable(s) you multiply the number portion normally ( 3 * 2 = 6).
Multiplying variables is slightly different. The matching variables (x and x) will become one "x" and have an exponent attached to the x.
What will the exponent be? If a variable has no visible exponent it can be assumed that it has an exponent of 1. When multiplying variables the exponents on each variable will be <em>sumed </em>together and attached to the final variable:
= x²
Now combine the product of the numbers with the product of the variables:
Area = 6x²
Hope this helped!
~Just a girl in love with Shawn Mendes