Solve the system of equations and choose the correct answer from the list of options. (4 points)
2 answers:
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Answer:
First answer is 4 and the next is 120
The required ratio of cakes baked to hours worked = 30: 1
<u>Concept:</u>
We know that a ratio is a term in mathematics that signifies how many times one value contains the other.
<u>Given:</u> The number of cakes baked varies directly with the number of hours the caterers work.
<u>Explanation:</u>
From the given graph, it can observe that,
30 cakes are made in 1 hour. ( When we draw a vertical line from <em>x </em>= 1 to the curve, we get <em>y</em>=30 i.e. point is ( 1,30).
The required ratio of cakes baked to hours worked = 30: 1
Learn more:
a - length of side of a square
t - length of side of a triangle
The perimeter of a square:
The perimeter of a triangle:
We have the area of a triangle:
The formula of an area of an equilateral trinagle:
Substitute:
<em>multiply both sides by 4</em>
<em>divide both sides by
</em>
The perimeter of a triangle:
Substitute to the formula of a perimeter of a square:
<em>divide both sides by 4</em>
The formula of a diagonal of a square:
Substitute:
Answer:
Parte1 :
∡B= 180 - (42 + 83)= 55°
Parte2 :
Using the law of sines : ⇔
⇔ a= 142.95
Parte3 :
Using the same law : or
⇔ c= 212.04