Erin and Aimee are each responsible for mowing half of their back yard. the yard is rectangular with dimensions 75 feet by 90 feet. Erin starts mowing the corner, gradually working her way towards the middle by mowing concentric bands around the outside edges. If the mower cuts a three foot wide path, at what point should Erin and Aimee stop mowing?
Answers
Answer:
Erin should stop at three and a half rounds.
Step-by-step explanation:
One complete round will mow 954 square feet, the total area that she has to mow 3375 square feet. If she goes around three and a half times, she should be finished and stop. This was quite hard to figure out, and may very well be incorrect in some way, but I hope this helps.
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Answers
Both Polygons are not Similar.
What are Polygon?
A polygon is a two-dimensional, closed form that is flat or planar and is limited by straight sides. Its sides are not curved. A polygon's edges are another name for its sides. The vertices (or corners) of a polygon are the places where two sidesconverge.
Given:
QR = 4, RS = 15, and VT = 8, TU = 32.
There must be some matching sides or angles for the polygons to be similar.
There are neither comparable sides nor angles for the example mentioned above.
For these reasons, DQRS and DUVT are not Similar.
Hence, Both Polygons are not similar.
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Answers
Final answer:
The absolute maximum and minimum of a function on a given interval can be found by calculating the function's critical points and evaluating the function at these points and the interval endpoints, then comparing these values.
Explanation:
In order to find the absolute maximum and absolute minimum values of a function on a given interval, you must first find the critical points of the function within the interval. Critical points occur where the derivative of the function is equal to zero or is undefined. In this case, the derivative of f(t) = 9t + 9 cot(t/2) is f'(t) = 9 - (9/2) csc2(t/2). Set this to zero and solve for t to find the critical points. Additionally, the endpoints of the interval, π/4 and 7π/4, could be the absolute maximum or minimum, so these should be evaluated as well. Once you have found the values of the function at these points and the endpoints, compare them to determine the absolute maximum and minimum values.
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Final answer:
To find the absolute maximum and minimum values of a function, we find the critical points and endpoints. Evaluating the function at these points gives the maximum and minimum values.
Explanation:
To find the absolute maximum and absolute minimum values of a function on a given interval, we need to find the critical points and endpoints of the interval.
To find the critical points of f, we need to find where the derivative of f is equal to zero or undefined. The derivative of f(t) = 9t + 9cot(t/2) is f'(t) = 9 - 9csc^2(t/2).
Setting f'(t) = 0, we have 9 - 9csc^2(t/2) = 0. Solving this equation, we get csc^2(t/2) = 1, which means sin^2(t/2) = 1. This gives us sin(t/2) = ±1. The critical points occur when t/2 = π/2 or t/2 = 3π/2. Solving for t, we get t = π or t = 3π as the critical points.
The endpoints of the interval are π/4 and 7π/4.
Now we evaluate the function f at the critical points and endpoints:
- f(π/4) = 9(π/4) + 9cot(π/8) ≈ 6.566
- f(π) = 9π + 9cot(π/2) = 9π
- f(3π) = 9(3π) + 9cot(3π/2) = 27π
- f(7π/4) = 9(7π/4) + 9cot(7π/8) ≈ 46.607
From these evaluations, we can see that the absolute maximum value occurs at t = 7π/4 and is approximately 46.607, while the absolute minimum value occurs at t = π/4 and is approximately 6.566.
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Answers
The sum of - and
is:
To find the sum of and
you simply add the like terms together.
Like terms are terms that have the same variable and the same exponent.
Now, add the like terms:
5x + (-x) = 4x
-8 + (-3) = -11
For similar question on sum.
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Answer:
-13x^2+4x-11
Step-by-step explanation:
-3x^2+5x-8+(-10x^2-x-3)=?
-3x^2+5x-8-10x^2-x-3=?
(combine like terms); -13x^2+4x-11
So, your answer is -13x^2+4x-11
9-2.5
Answers
Hello!
Answer:
Step-by-step explanation:
→ We want to simplify this expression:
◼ Simplify the square root:
◼ Simplify the multiplication:
◼ Simplify the subtraction:
◼ Simplify the addition:
Conclusion:
The expression 9 - 2.5 × 2 + ∛27 is equal to 7.
B. 2/5
C. 42/48
D. 245/1152
Answers
flip 35/48 so it looks like this 48/35 then chance the divide symbol and put the multiply symbol 7*48=336, and 24*35=840. your answer is 336/840 then simply reduce to get 2/5.
------ ÷ -------- = ?
24 48
48
------
35
7 48
------- × --------
24 35
7 × 48 = 336
24 × 35 = 840
336 2
-------- = -------
840 5
SO, Your answer would be B. 2/5.
7 35 2
------ ÷ ------- = ------- (Simplest Form)
24 48 5
Hope I helped:P
B.) 439
C.) 422.95
D.) 385.89
Answers
50,150 / 1,000 = 50.15
50.15 x 8.78 = 440.317 or 440.32