Answer:
dividing is always the last step
Step-by-step explanation:
<em><u>Question:</u></em>
Find the perimeter of the quadrilateral. if x = 2 the perimeter is ___ inched.
The complete figure of this question is attached below
<em><u>Answer:</u></em>
<h3>The perimeter of the quadrilateral is 129 inches</h3>
<em><u>Solution:</u></em>
The complete figure of this question is attached below
Given that, a quadrilateral with,
Side lengths are:
The values of the side lengths when x = 2 are
Perimeter of a quadrilateral = Sum of its sides
Perimeter of given quadrilateral = 32 + 22 + 44 + 31 = 129 inches
Thus perimeter of the quadrilateral is 129 inches
By "which is an identity" they just mean "which trigonometric equation is true?"
What you have to do is take one of these and sort it out to an identity you know is true, or...
*FYI: You can always test identites like this:
Use the short angle of a 3-4-5 triangle, which would have these trig ratios:
sinx = 3/5 cscx = 5/3
cosx = 4/5 secx = 5/4
tanx = 4/3 cotx = 3/4
Then just plug them in and see if it works. If it doesn't, it can't be an identity!
Let's start with c, just because it seems obvious.
The Pythagorean identity states that sin²x + cos²x = 1, so this same statement with a minus is obviously not true.
Next would be d. csc²x + cot²x = 1 is not true because of a similar Pythagorean identity 1 + cot²x = csc²x. (if you need help remembering these identites, do yourslef a favor and search up the Magic Hexagon.)
Next is b. Here we have (cscx + cotx)² = 1. Let's take the square root of each side...cscx + cotx = 1. Now you should be able to see why this can't work as a Pythagorean Identity. There's always that test we can do for verification...5/3 + 3/4 ≠ 1, nor is (5/3 + 3/4)².
By process of elimination, a must be true. You can test w/ our example ratios:
sin²xsec²x+1 = tan²xcsc²x
(3/5)²(5/4)²+1 = (4/5)²(5/3)²
(9/25)(25/16)+1 = (16/25)(25/9)
(225/400)+1 = (400/225)
(9/16)+1 = (16/9)
(81/144)+1 = (256/144)
(81/144)+(144/144) = (256/144)
(256/144) = (256/144)
Answer:
14x15-10x10=110
A=110
Step-by-step explanation:
