Find the value of x in the triangle shown below.
1 answer:
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The equation that represents this situation while the variable s representing the amount of dough needed , for a small pizza is (5/2)S = (3/2)S + S .
In the question ,
it is given that
amount of dough for a medium pizza is 3/2 times the amount of dough for small pizza ,
let the amount of dough required for small pizza = S
let the amount of dough required for large pizza = L
let the amount of dough required for medium pizza = M
So , M (3/2)S
and amount of dough for a large pizza is 5/2 times the amount of dough for small pizza ,
that is
L (5/2)S
amount of dough used for one large pizza is equal to the amount of dough used for one medium and one small pizza ,
that is L M
S .
Substituting the value of L and S , we get
(5/2)S (3/2)S + S
We have a linear equation that is true for all S , there is no unique solution to this equation .
Therefore , The equation that represents this situation is (5/2)S = (3/2)S + S .
The given question is incomplete , the complete question is
Tony is opening a pizza restaurant and needs to determine the amounts of ingredients he will use in his pizzas. He wants the amount of dough for a medium pizza to be 3/2 times the amount of dough for a small pizza. And, he wants the amount of dough for a large pizza to be 5/2 times the amount of dough for a small pizza. Also, the amount of dough used for one large pizza should to be equal to the amount of dough used for one medium and one small pizza. So, he needs to determine how much dough to use for a small pizza. Use this information to complete the following tasks.
Write an equation to represent this situation while the variable s representing the amount of dough needed , for a small pizza .
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Answer:
a = 1
b = - 1
Explanation:
To know the values of a and b, we need to solve the following equation:
So, replacing cos(-π/4) by √2/2 and sin(-π/4) by -√2/2, we get:
Applying the distributive property:
Therefore, we can complete the equation as:
It means that a = 1 and b = - 1.