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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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I need help finding the answer to this question on edge.
Aliun [14]

Answer:

6

Step-by-step explanation:

We need to evaluate :-

\rm\implies \displaystyle\rm\sum^4_n   (-1)^n (3n + 2 )

Here the \Sigma is the sum operator . And here we need to find the sum from n = 1 to n = 4 . We can write it as ,

\rm\implies (-1)^1 ( 3*1 +2) + (-1)^2 ( 3*2+2) + (-1)^3(3*3+2) + (-1)^4(3*4+2)

Now we know that for odd powers of -1 , we get -1 and for even powers we get 1 . Therefore ,

\rm\implies -1 ( 3 + 2 ) + 1 (6+2)+-1(9+2)+1(12+2)

Now add the terms inside the brackets and then multiply it with the number outside the bracket . We will get ,

\rm\implies -1 * 5 + 1 * 8 + -1*11 + 1*14 \\\\\rm\implies -5 + 8 - 11 + 14 \\\\\rm\implies\boxed{\quad 6 \quad}

<u>Hence</u><u> the</u><u> </u><u>required</u><u> answer</u><u> is</u><u> </u><u>6</u><u>.</u>

6 0
3 years ago
Who knows what pi(3.14)x-99.29?
MrMuchimi

Answer:

Pi also appears in the calculations to determine the area of an ellipse and in finding the radius, surface area, and volume of a sphere.  

Step-by-step explanation:

The number represented by pi (π) is used in calculations whenever something round (or nearly so) is involved, such as for circles, spheres, cylinders, cones, and ellipses. Its value is necessary to compute many important quantities about these shapes, such as understanding the relationship between a circle’s radius and its circumference and area (circumference=2πr; area=πr²).

Our world contains many round and near-round objects; finding the exact value of pi helps us build, manufacture, and work with them more accurately.

6 0
3 years ago
Read 2 more answers
Calculus application
Ugo [173]

Answer:

49m/s

59.07 m/s

Step-by-step explanation:

Given that :

Distance (s) = 178 m

Acceleration due to gravity (a) = g(downward) = 9.8m/s²

Velocity (V) after 5 seconds ;

The initial velocity (u) = 0

Using the relation :

v = u + at

Where ; t = Time = 5 seconds ; a = 9.8m/s²

v = 0 + 9.8(5)

v = 0 + 49

V = 49 m/s

Hence, velocity after 5 seconds = 49m/s

b) How fast is the ball traveling when it hits the ground?

V² = u² + 2as

Where s = height = 178m

V² = 0 + 2(9.8)(178)

V² = 0 + 3488.8

V² = 3488.8

V = √3488.8

V = 59.07 m/s

8 0
3 years ago
What is 3(6 – m) – 10 =
PIT_PIT [208]

Answer:

it's 8-3m

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
The volume of a cylinder is found by:
densk [106]

Answer:

D. multiplying the area of the base by the height

Calculate the area of the base (which is a circle) by using the equation πr². Then, multiply the area of the base by the height of the cylinder to find the volume.

3 0
3 years ago
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