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lord [1]
3 years ago
6

Suppose someone tells you that she has a triangle with sides having lengths 2.6, 8.1, and 8.6. Is this a right triangle? Why or

why not? Is there an angle in the triangle larger than 90 degree?
Mathematics
1 answer:
Elodia [21]3 years ago
8 0
First you check for Pythagoras'  Theorem.

Is  8.6² = 8.1²  + 2.6²  ? 
  
8.1²  + 2.6² = 65.61 + 6.76 = 72.37
8.6² =  73.96

8.1²  + 2.6²  ≠ 8.6² 

Since Pythagoras' Theorem is not satisfied it is not a right angled triangle.

The longest side is 8.6,  let's find the angle facing the longest side 8.6.

By cosine formula  CosA =  (b² + c² - a²) / (2bc)

CosA =  (2.6² + 8.1² - 8.6²) / (2*2.6*8.1) = -1.59/42.12 = -0.0377

A = Cos inverse (-0.0377) = 92.1 degrees

So there is  an angle is greater than 90 degrees.
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If p and q vary inversely and pp is 23 when q is 6, determine q when p is equal to 69.
Lina20 [59]

Answer:

Answer is q = 2

Step-by-step explanation:

First make the equation with a constant so p=k/q

then substitute q to 6 and p to 23.

Then you have 23=k/6 and to find k multiply both sides to get k=138

next substitute p as 69=138/q then multiply q on both sides to get 69xq=138 and then divide 69 to 138 go get q which is 2

Like if it helped!

4 0
1 year ago
The actual length (L) of a rectangle is 27 centimeters. Use the scale drawing of the rectangle to find the actual width (W).
Dominik [7]
The ratio of the length to the width is \rm \dfrac{L}{W}.
The ratio of the sides will be the same for the scale and actual figures.

\rm \dfrac{2.4}{3.6}=\dfrac{27}{W}

I took the L/W of the scale figure
and set it equal to the L/W of the actual figure.

Now we can solve for the unknown width.
Cross-multiplication gives us this,

\rm 2.4W=3.6\cdot27

Divide by 2.4 and simplify,

\rm W=40.5

Hope that helps! :)
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