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Klio2033 [76]
3 years ago
14

Which of the following is an obtuse triangle ?

Mathematics
1 answer:
vichka [17]3 years ago
7 0

Answer:

A. Triangle B

Step-by-step explanation:

Obtuse angles are greater than 90°, but less than 180°.

I am joyous to assist you anytime.

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What is the surface area of the cylinder with height 5 mi and radius 6 mi? Round your answer to the nearest thousandth.
Delicious77 [7]

Step-by-step explanation:

Given

h = 5 mi

r = 6 mi

Surface Area of Cylinder =

2\pi \: rh + 2\pi {r}^{2}  \\  = 2\pi(6)(5) + 2\pi ({6}^{2})  \\   = 2\pi(30) + 2\pi(36) \\  = 60\pi + 72\pi \\  = 132\pi \\  = 414.690 {mi}^{2} (nearest \: thousandth)

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The function ƒ(x) = (x − 1)^2 + 5 is not one-to-one. Find a portion of the domain where the function is one-to-one and find an i
melisa1 [442]

Answer:

f(x)=(x-1)^2+5 with domain x>1 and range y>5 has inverse g(x)=sqrt(x-5)+1 with domain x>5 and range y>1.

Step-by-step explanation:

The function is a parabola when graphed. It is in vertex form f(x)=a(x-h)^2+k where (h,k) is vertex and a tells us if it's reflected or not or if it's stretched. The thing we need to notice is the vertex because if we cut the graph with a vertical line here the curve will be one to one. So the vertex is (1,5). Let's restrict the domain so x >1.

* if x>1, then x-1>0.

* Also since the parabola opens up, then y>5.

So let's solve y=(x-1)^2+5 for x.

Subtract 5 on both sides:

y-5=(x-1)^2

Take square root of both sides:

Plus/minus sqrt(y-5)=x-1

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Sqrt(y-5)=x-1

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Sqrt(y-5)+1=x

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Sqrt(x-5)+1=y

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