smallest triangle 5.7/11,
medium triangle 11/x
5.7/11=11/x
x=11*11/5.7≈21.2 (longer leg of the medium triangle)
difference between 6 and 5.7 is 6-5.7=0.3 ,
screen going to be 0.3 feet less, than leg of the medium triangle that was found
21.2-0.3=20.9 ft
Answer:
tan²x + 1 = sec²x is identity
Step-by-step explanation:
* Lets explain how to find this identity
∵ sin²x + cos²x = 1 ⇒ identity
- Divide both sides by cos²x
∵ sin x ÷ cos x = tan x
∴ sin²x ÷ cos²x = tan²x
- Lets find the second term
∵ cos²x ÷ cos²x = 1
- Remember that the inverse of cos x is sec x
∵ sec x = 1/cos x
∴ sec²x = 1/cos²x
- Lets write the equation
∴ tan²x + 1 = 1/cos²x
∵ 1/cos²x = sec²x
∴ than²x + 1 = sec²x
- So we use the first identity sin²x + cos²x = 1 to prove that
tan²x + 1 = sec²x
∴ tan²x + 1 = sec²x is identity
Answer:
B Survey a random sample of eighth-grade students
Step-by-step explanation:
In order to reach the best conclusion without biased data, the best sampling method would be B because not only does it survey 8th graders, but it also surveys a random group, ensuring that not all of the students are potentially excelling in and/or having trouble with homework.
Answer:
A. 2x + (-x + 2) = -1
Step-by-step explanation:
Well if we use x + y = 2 as the substitute we need to solve for y.
x + y = 2
-x to both sides
<u>y = -x + 2</u>
Substitute
2x + (-x + 2) = -1
<em>Thus,</em>
<em>the answer is A. 2x + (-x + 2) = -1.</em>
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<em>Hope this helps :)</em>
