1) Triangle QRT, where q = 32.4 ft, r = 29.8 ft, t = 42.1 ft
No this cannot make a second triangle
2) Triangle ABC, where B = 62°, a = 11.52 m, c = 19.34 m
No this cannot make a second triangle
3) Both of the triangles cannot make a second triangle
<h3>How does law of sine work</h3>
The following is a detailed explanation of the sine law: In a triangle, side "a" divided by angle sine "a" equals side "b" divided by angle sine "b" equals side "c" divided by angle sine "c."
The formula for law of sine is written as
Sine A a = Sine B/ b = Sine C / c
These law helps in determining the given angles and sides
For the situation given; both cannot be used to make a second triangle
Learn more about conditions Infinite number of triangles at:
brainly.com/question/29637739
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Answer:
>3 means any number on the number line larger than 3, so the answer is yes
Answer: (f-g)(2)=14
Step-by-step explanation:
(f – g) (-2) means the same as subtracting f(2) and g(2). Since we are given f(x) and g(x), we can use them to solve. There are two ways to solve. One is to find f(2) and g(2), and then subtract them. Another way is to do (f-g)(x), then plug in x=2. I will show both methods.
Method 1
f(2)=3(2)²+1 [exponent]
f(2)=3(4)+1 [multiply]
f(2)=12+1 [add]
f(2)=13
g(2)=1-(2) [subtract]
g(2)=-1
(f-g)(2)=13-(-1) [subtract f(2) and g(2)]
(f-g)(2)=14
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Method 2
(f-g)(x)=3x²+1-(1-x) [distribute -1]
(f-g)(x)=3x²+1-1+x [combine like terms]
(f-g)(x)=3x²+x
(f-g)(2)=3(2)²+2 [plug in x=2, exponent]
(f-g)(2)=3(4)+2 [multiply]
(f-g)(2)=12+2 [add]
(f-g)(2)=14
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Now, we know that (f-g)(2)=14. We confirmed this with both methods.
