What percentage of the shape is green?
1 answer:
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<h3>Answer: 7.1</h3>
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Explanation:
The two points are (x1,y1) = (1,3) and (x2,y2) = (8,4)
Use the distance formula to get,
Alternatively, you can plot the two points A(1,3) and B(8,4) on the same xy grid. Then plot point C(8,3). Note that C has the same x coordinate as B, and the same y coordinate as A. Triangle ABC is a right triangle, where the 90 degree angle is at point C. The distance from A to B is the same as finding the length of AB, which is the hypotenuse.
This means we can apply the pythagorean theorem to find the hypotenuse AB. The distance formula is a modified version of the pythagorean theorem. Refer to the diagram below.
Answer:
The different ways a football team cold score 63 points are by having;
1) 3 touchdowns and 14 field goals
2) 6 touchdowns and 7 field goals
Step-by-step explanation:
The given parameters are;
The worth of each touchdown = 7 point
The worth of each field goal = 3 points
The number of touch down ≥ 1
The number of field goals ≥ 1
Let x represent the number of touchdowns and let y represent the number of field goals, we have;
7·x + 3·y = 63...(1)
x + y ≥ 2...(1)
Making y the subject of the equation, 7·x + 3·y = 63, gives;
3·y = 63 - 7·x
y = 21 - (7/3)·x
Making y the subject of the inequality, x + y ≥ 2, gives;
y ≥ 2 - x
From the attached graph created with Microsoft Excel, we have the points where x ≥ 1, that have a whole number value of y ≥ 0 as follows;
1) When x = 3, y = 14 gives 7×3 + 3×14 = 63
2) When x = 6, y = 7 gives 7×6 + 3×7 = 63
Therefore, the different ways a football team cold score 63 points are;
1) 3 touchdowns and 14 field goals
2) 6 touchdowns and 7 field goals.
The given ratio is:
To find the unit cost per ounce, we can use proportions as follows:
Now, solve for x:
The cost per ounce (unit cost) is then $0.12/oz