Answer: Exact form: 94133 / 41877. Mixed number form: 2 10379 / 41877
Step-by-step explanation: divide 145 and 891. Then add 153. Then divide again 141 and 153. Then add 1/1.
Hope this helps!
Answer:
48.49 feet
Step-by-step explanation:
The diagrammatic sketch of the information provided in the question was attached in the image below.
From the image below, the distance between the two kites is denoted by (c) and can be determined by using the cosine angle rule which is expressed as:
![c^2 = a^2 + b^2 -2ab cos \ C](https://tex.z-dn.net/?f=c%5E2%20%3D%20a%5E2%20%2B%20b%5E2%20-2ab%20cos%20%5C%20C)
where;
a = 110
b = 104
Cos C = 26°
Then;
![c^2 = 110^2 + 104^2 -2(110)(104) cos \ 26 \\ \\ c^2 = 12100 + 10816- 22880 ( 0.8988) \\ \\ c^2 = 22916- 20564.544 \\ \\ c^2 = 2351.456 \\ \\ c= \sqrt{2351.456} \\ \\ \mathbf{ c = 48.49 \ feet}](https://tex.z-dn.net/?f=c%5E2%20%3D%20110%5E2%20%2B%20104%5E2%20-2%28110%29%28104%29%20cos%20%5C%2026%20%5C%5C%20%5C%5C%20%20c%5E2%20%3D%2012100%20%2B%2010816-%2022880%20%28%200.8988%29%20%5C%5C%20%5C%5C%20%20c%5E2%20%3D%2022916-%2020564.544%20%5C%5C%20%5C%5C%20%20c%5E2%20%3D%202351.456%20%5C%5C%20%5C%5C%20%20c%3D%20%5Csqrt%7B2351.456%7D%20%5C%5C%20%5C%5C%20%5Cmathbf%7B%20c%20%3D%2048.49%20%5C%20feet%7D)
Answer:
1
Step-by-step explanation:
Three side lengths that meet the requirements of the triangle inequality will form exactly one triangle.
_____
The triangle inequality requires the sum of the short sides be at least as long as the long side. Here, we have 3 + 4.69 = 7.69 > 7, so we satisfy the triangle inequality.
The side lengths can be arranged in clockwise or counterclockwise order, least to greatest. Each triangle is a reflection of the other, so they are considered to be the same triangle (congruent).
ANSWER
A. No because f(c)=-30
EXPLANATION
The given polynomial is
![f(x) =2x^3-9x^2+13x-6](https://tex.z-dn.net/?f=f%28x%29%20%3D2x%5E3-9x%5E2%2B13x-6)
If x+1 is a factor , then f(-1) must evaluate to zero.
![f( - 1) =2( - 1)^3-9( - 1)^2+13( - 1)-6](https://tex.z-dn.net/?f=f%28%20-%201%29%20%3D2%28%20-%201%29%5E3-9%28%20-%201%29%5E2%2B13%28%20-%201%29-6)
![f( - 1) =2( - 1)-9( 1)+13( - 1)-6](https://tex.z-dn.net/?f=f%28%20-%201%29%20%3D2%28%20-%201%29-9%28%201%29%2B13%28%20-%201%29-6)
![f( - 1) = - 2-9 - 13-6](https://tex.z-dn.net/?f=f%28%20-%201%29%20%3D%20-%202-9%20-%2013-6)
![f( - 1) = -11 - 19](https://tex.z-dn.net/?f=f%28%20-%201%29%20%3D%20-11%20-%2019)
![f( - 1) = - 30](https://tex.z-dn.net/?f=f%28%20-%201%29%20%3D%20-%2030)
Since f(-1) is not equal to zero, x+1 is not a factor of
![f(x) =2x^3-9x^2+13x-6](https://tex.z-dn.net/?f=f%28x%29%20%3D2x%5E3-9x%5E2%2B13x-6)
<h3>Answer: A. 5/12, 25/12</h3>
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Work Shown:
12*sin(2pi/5*x)+10 = 16
12*sin(2pi/5*x) = 16-10
12*sin(2pi/5*x) = 6
sin(2pi/5*x) = 6/12
sin(2pi/5*x) = 0.5
2pi/5*x = arcsin(0.5)
2pi/5*x = pi/6+2pi*n or 2pi/5*x = 5pi/6+2pi*n
2/5*x = 1/6+2*n or 2/5*x = 5/6+2*n
x = (5/2)*(1/6+2*n) or x = (5/2)*(5/6+2*n)
x = 5/12+5n or x = 25/12+5n
these equations form the set of all solutions. The n is any integer.
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The two smallest positive solutions occur when n = 0, so,
x = 5/12+5n or x = 25/12+5n
x = 5/12+5*0 or x = 25/12+5*0
x = 5/12 or x = 25/12
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Plugging either x value into the expression 12*sin(2pi/5*x)+10 should yield 16, which would confirm the two answers.