Given a right triangle with the side lengths of legs = 9 and 13
For the required angle :
opposite side = 9
adjacent side = 13
so,
Answer:
Las longitudes solicitadas en yardas son:
- <u>Trayecto A = 109.361 yardas.</u>
- <u>Trayecto B = 20.231785 yardas.</u>
Step-by-step explanation:
Para hacer la conversión de unidades que requieres en el ejercicio, debes saber que:
Con ese factor de conversión tú puedes hacer reglas de tres para calcular las medidas que requieres. En el caso del trayecto A:
Si:
- 1 metro = 1.09361 yardas
- 100 metros = X
Entonces:
Cancelamos metros y obtenemos:
- x = 100 * 1.09361 yardas
- <u>x = 109.361 yardas</u>
En este caso, <u>el trayecto A en yardas corresponde a 109.361 yardas</u>. El mismo procedimiento puede aplicarse para el trayecto B:
Si:
- 1 metro = 1.09361 yardas
- 18.50 metros = X
Entonces:
Cuando se cancelan los metros se obtiene:
- x = 18.50 * 1.09361 yardas
- <u>x = 20.231785 yardas</u>
Así, <u>el trayecto B en yardas corresponde a 20.231785 yardas</u>.
Momentum is mass times velocity so the answer is 48kgm/s
The equation which can be used to find the number of quarters and nickels is; n + q = 84, 0.05n + 0.25q = 17.80.
<h3>Quarters and nickels</h3>
- Total coins = 84
- Total value = $17.80
let
- Number of quarters = q
- Number of nickels = n
n + q = 84
0.05n + 0.25q = 17.80
From equation (1)
n = 84 - q
Substitute into (2)
0.05n + 0.25q = 17.80
0.05(84 - q) + 0.25q = 17.80
4.2 - 0.05q + 0.25q = 17.80
- 0.05q + 0.25q = 17.80 - 4.2
0.20q = 13.60
q = 13.60 / 0.20
q = 68
Substitute q = 68 into
n + q = 84
n + 68 = 84
n = 84 - 68
n = 16
Therefore, the number of quarters and nickels are 68 and 16 respectively.
Learn more about quarters and nickels:
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Answer:
720 possible orders
Step-by-step explanation:
To order 6 people in a line, let's imagine them as 6 possible spaces:
( )( )( )( )( )( )
Going from left to right, let's start with space 1.
There are 6 possibilities for space 1 as any of the 6 people could occupy that space in the line.
(6)( )( )( )( )( )
Next, since one person will have already occupied space 1, there are only 5 people left who can occupy space 2, so there are 5 possibilities for space 2:
(6)(5)( )( )( )( )
Continuing in this fashion, there are now only 4 people left so 4 possibilities for space 3 and etc.
(6)(5)(4)(3)(2)(1)
This means we have 6,5,4,3,2 and 1 possibilities for each space respectively.
Multiply them together and we have:
6x5x4x3x2x1 = 720 possible orders.
Hope this helped!
