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1 answer:
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2 x 3 x 2 x 3 units rectangle as shown in the picture would work!
Answer:
<em>The base is 24 cm long.</em>
Step-by-step explanation:
<u>Equations</u>
Let's call
b= base of the triangle
h=height of the triangle
The base is 9 cm longer than the height, thus:
b = h + 9
The area of the triangle is:
And its value is 180:
Multiplying by 2:
Operating:
Factoring:
The only valid positive solution is:
h = 15 cm
And b = h + 9 = 24
b = 24 cm
The base is 24 cm long.
Complete Question
In your biology class, your final grade is based on several things: a lab score, scores on two major tests, and your score on the final exam. There are 100 points available for each score. However, the lab score is worth 25% of your total grade, each major test is worth 22:5%, and the final exam is worth 30%. Compute the weighted average for the following scores: 92 on the lab, 81 on the first major test, 93 on the second major test, and 85 on the final exam. (Enter your answer to one decimal place)
Answer:
The weighted average is
Step-by-step explanation:
From the question we are told that
The worth of the lab score is 25% of total grade
The worth of each major test is 22.5% of total grade
The worth of final exam is 30% of total grade
The score on lab is 92
The score on first major test 81
The score on second major test 93
The score on final exam is 85
Generally the weighted score is mathematically represented as
=>
=>
A system that will produce infinitely many solutions will have the property where all the equations overlap. That means they will have the same slope and y-intercept.
An easy way to determine if they will produce infinitely many solutions is to put all the equations into
form. If everything is the same, you know it will have infinite solutions.
An easy way to determine if they will produce infinitely many solutions is to put all the equations into