Answer: 91
Step-by-step explanation:
Answer:
Look for the y-intercept where the graph crosses the y-axis. Look for the x-intercept where the graph crosses the x-axis. Look for the zeros of the linear function where the y-value is zero.
Step-by-step explanation:
General Idea:
(i) Assign variable for the unknown that we need to find
(ii) Sketch a diagram to help us visualize the problem
(iii) Write the mathematical equation representing the description given.
(iv) Solve the equation by substitution method. Solving means finding the values of the variables which will make both the equation TRUE
Applying the concept:
Given: x represents the length of the pen and y represents the area of the doghouse
<u>Statement 1: </u>"The pen is 3 feet wider than it is long"

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<u>Statement 2: "He also built a doghouse to put in the pen which has a perimeter that is equal to the area of its base"</u>

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<u>Statement 3: "After putting the doghouse in the pen, he calculates that the dog will have 178 square feet of space to run around inside the pen."</u>

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<u>Statement 4: "The perimeter of the pen is 3 times greater than the perimeter of the doghouse."</u>

Conclusion:
The systems of equations that can be used to determine the length and width of the pen and the area of the doghouse is given in Option B.

Answer:
1
Step-by-step explanation:
The slope of this line is -1 or -1/1, and to find the perpendicular slope you find the opposite of the reciprocal, which in this case would be 1/1 which simplifies to 1.
Answer:
2094.4 cm³
Step-by-step explanation:
The volume of a cone =πr²h/3
Where
r = radius = Diameter/2
Diameter = 20cm, radius = 20cm/2 = 10cm
Height = 20cm
Volume of a cone = π × 10² × 20/3
Volume of a cone = 2094.3951 cm³
Approximately to the nearest tenth = 2094.4 cm³
Therefore , the volume of a cone = 2094.4 cm³