Using a trigonometric identity, it is found that the values of the cosine and the tangent of the angle are given by:
<h3>What is the trigonometric identity using in this problem?</h3>
The identity that relates the sine squared and the cosine squared of the angle, as follows:
In this problem, we have that the sine is given by:
Hence, applying the identity, the cosine is given as follows:
The tangent is given by the sine divided by the cosine, hence:
More can be learned about trigonometric identities at brainly.com/question/24496175
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Answer: 12 friends.
Step-by-step explanation:
the data we have is:
Mei Su had 80 coins.
She gave the coins to her friends, in such a way that every friend got a different number of coins, then we have that:
The maximum number of friends that could have coins is when:
friend 1 got 1 coin
friend 2 got 2 coins
friend 3 got 3 coins
friend N got N coins
in such a way that:
(1 + 2 + 3 + ... + N) ≥ 79
I use 79 because "she gave most of the coins", not all.
We want to find the maximum possible N.
Then let's calculate:
1 + 2 + 3 + 4 + 5 = 15
15 + 6 + 7 + 8 + 9 + 10 = 55
now we are close, lets add by one number:
55 + 11 = 66
66 + 12 = 78
now, we can not add more because we will have a number larger than 80.
Then we have N = 12
This means that the maximum number of friends is 12.
If you look on the water bottle paper (It depends) you will find that it holds one of the amounts from 16.9<span> to 20 oz.
Hoped I helped!</span>
Answer:
El orden de mayor a menor es:
54.45
; 32.245
; 23.4
; 8/9
; 15/20
; 50/100
; 4/10
; 0.056
; 9/1000
Step-by-step explanation:
El mayor número será el que tenga el mayor entero, o si tienen el mismo entero será aquel que tenga el primer decimal mayor de izquierda a derecha, o si tienen el mismo se observa el siguiente decimal y así sucesivamente.
Para ordenar y comparar las cantidades es conveniente en primer lugar pasar todos los números a decimales. Para convertir una fracción en un decimal, debes dividir el numerador entre el denominador.
Entonces, en este caso el valor decimal de cada cantidad (o una aproximación) es:
23.4
15/20= 0.75
32.245
0.056
4/10= 0.4
50/100= 0.5
8/9= 0.8888
0.009
9/1000= 0.009
54.45
Entonces <u><em>el orden de mayor a menor es:
</em></u>
<u><em>
54.45
; 32.245
; 23.4
; 8/9 = 0.8888
; 15/20 = 0.75
; 50/100 = 0.5
; 4/10 = 0.4
; 0.056
; 9/1000 = 0.009</em></u>
Answer: B
Step-by-step explanation:
A center angle is an angle that has rays that originate from the center.
