Recall that sin(π/2) = 1, and cos(π/2) = 0,
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Answer:
The volume is 343 times as large.
The length is 7 times as large.
Step-by-step explanation:
If the original cube has side length s, its volume is given by ...
V = s³
When the side length is changed by a factor of 7, the new volume is ...
V = (7s)³ = 7³×s³ = 343s³
The volume of the cube changes by a factor of 7³ = 343.
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The problem statement tells you the length is 7 times as large.
Let P be the cost of pucks, S the cost of sticks.
1.5p+3s=23
2.5p+s=20
subtract eqn 2 from 1,we get
5p+3s-5p-s=23-20
2s=3
s=3/2=1.50
Then from eqn 2,
5p+3/2=20
5p=40/2-3/2
p=37/10=3.70
Therefore,pucks cost $3.70 and sticks cost $1.50
Por lo tanto, el valor de x e y es 5, 8.
<h3>¿Qué es el método de sustitución?</h3>
El método utilizado para resolver el sistema de ecuación, en este el valor de una variable se sustituye de una ecuación a otra para encontrar la solución.
Está dado
(x+1)/3 -(y-1)/2 = 1 -----1
7x -4(x+y) = 4 ------2
Resolviendo la segunda ecuación
7x -4x-4y = 4
3x -4y = 4
3x = 4+4y
x = (4+4y) / 3
Sustituyendo este valor en la ecuación 1
2(x+1) - 3(y-1) = 6
2x +2 -3y+3 = 6
2x -3y = 1
2(4+4y)/3 - 3y = 1
8 + 8y - 9y = 3
-y = -5
y = 5
x = 24/3 = 8
Por lo tanto, el valor de x e y es 5, 8.
Para saber más sobre el método de sustitución
brainly.com/question/17411423?referrer=searchResults
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Answer: 4.50
Step-by-step explanation:
.5 is = to .50 so that means that your going to add 2.25+.50= 2.75 and then add another 1.75 and get 4.50 as your answer:)
