Answer:
110 cm²
Step-by-step explanation:
The area of a triangle is 1/2 times base times height.
A = 1/2bh
A = 1/2(22)(10)
A = 110
Answer:
Equation: (2x + 30) + 106 = 180
x = 22°
Step-by-step explanation:
<u>We know that the missing angle from within the triangle and the expression 2x + 30 makes 180 so we can say;</u>
180 - (33 + 41) = missing angle
180 - 74 = missing angle
<u>106</u>°<u> = missing angle</u>
Now we can set up our equation to solve for x:
(2x + 30) + missing angle = 180°
<u>(2x + 30) + 106 = 180</u>°<u> => This would be our equation:</u>
Now let's solve:
2x + 30 + 106 = 180°
2x + 136 = 180
2x = 180 - 136
2x = 44
x = 44/2
<u>x = 22°</u>
Hope this helps!
Answer: The system of equations that could be used to determine the number of small cups sold and the number of large cups sold is
6x + 18y = 780
y = 4x
Step-by-step explanation:
Let x represent the number of small cups that were sold.
Let y represent the number of large cups that were sold.
Each small cup holds 6 ounces of lemonade and each large cup hold 18 ounces of lemonade. Lincoln used 780 ounces. This is expressed as
6x + 18y = 780- - - - - - - - - - 1
Lincoln sold 4 times as many large cups as small cups. This is expressed as
y = 4x
Using a linear function, it is found that Company D would have given you the best deal for 7 hours of moving.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
In this problem, we consider:
- The flat fee as the y-intercept.
- The hourly rate as the slope.
Hence the costs for x hours of moving from each company are given as follows:
For 7 hours, the costs are given as follows:
- A(7) = 50 + 25 x 7 = $225.
- B(7) = 40 + 30 x 7 = $250.
- C(7) = 60 + 20 x 7 = $200.
- D(7) = 150 + 5 x 7 = $185.
Due to the lower cost, Company D would have given you the best deal for 7 hours of moving.
More can be learned about linear functions at brainly.com/question/24808124
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