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CaHeK987 [17]
3 years ago
11

PLEASE HELP ME THANK YOU. ALSO PLEASE INCLUDE EXPLANATION

Mathematics
1 answer:
11Alexandr11 [23.1K]3 years ago
6 0

Given

the lengths of the 3 sides of a triangle

Find

the angle opposite the longest side

Solution

Strategy: make use of the Law of Cosines, which relates an angle and the three sides of a triangle.

... a² = b² + c² -2bc·cos(A)

... cos(A) = (b² + c² - a²)/(2bc) . . . . . . . solve for cos(A)

... A = arccos((b² + c² - a²)/(2bc))

Fill in the given values and evaluate.

... A = arccos((55² + 50² - 90²)/(2·55·50)) = arccos(-2575/5500)

... A ≈ 117.9°

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Answer:

The circumference is similar to the perimeter in that it is the total length needed to draw the circle.

We note the circumference as c.

c = 2πr

or

c = πd

This depends on whether or not you know the radius (r) or the diameter (d)

Let’s calculate one manually, for example.

If r = 6 cm, then the circumference is c = 2π(6) = 12π cm, if writing in terms of π. If you prefer a numerical value, the answer rounded to the nearest tenth is 37.7 cm.

Suppose you only know the diameter? If the diameter is 8 cm, then the circumference is c = π(8) = 8π or 25.1 cm, rounded to the nearest tenth.

Step-by-step explanation:

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3 years ago
Consider the following 8 numbers, where one labelled X is unknown.
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Answer:

55,-3

Step-by-step explanation:

We\ are\ given\ that,\\There\ are\ eight\ numbers\ in\ the\ data :\\17,18,24,x,44,48,42,4\\Where\ the\ value\ of\ x\ is\ what\ we\ need\ to\ find.\\Range\ of\ the\ data=51\\Hence,\\We\ know\ that\ the\ range\ is\ the\ difference\\ between\ the\ highest\ observation\ and\ the\ lowest\ observation\ in\ the\ data.\\We\ may\ know\ see\ two\ cases\ of\ evaluating\ x\ when:\\1. x\ is\ the\ highest\ observation\ in\ the\ data\ or\ x>48.\\Highest\ observation\ =x\\Lowest\ observation=4\\Hence,\\

As\ range=51,\\x-4=51\\x=51+4\ [Adding\ 4\ on\ both\ the\ sides]\\x=55 \\2. x\ is\ the\ lowest\ observation\ or\ x

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If you knew that the vertical intercept for a straight line was 15, that the slope was -.5, and that the independent variable ha
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Ivenika [448]

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Step-by-step explanation:

This is solved using the probability distribution formula for random variables where the combination formula for selection is used to determine the probability of these random variables occurring. This formula is denoted by:

P(X=r) = nCr × p^r × q^n-r

Where:

n = number of sampled variable which in this case = 21

r = variable outcome being determined which in this case = 5

p = probability of success of the variable which in this case = 0.31

q= 1- p = 1 - 0.31 = 0.69

P(X=5) = 21C5 × 0.31^5 × 0.69^16

P(X=5) = 0.0241

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What is 36:12 as a fraction in lowest terms?
Rom4ik [11]
Did you mean 36/12? If so the answer would be 3/1 or 3.
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