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alukav5142 [94]
2 years ago
7

how many square feet will cover a rectangle 60 feet by 20 feet? Explain how you determined your answer

Mathematics
1 answer:
nika2105 [10]2 years ago
7 0

Answer:

1200

Step-by-step explanation:

2 times 6 = 12

12 times 100 = 1200

Hope this helps if does not please let me know thanks!

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A toy train with a resistance of 10 ohms is powered by four 1.5-volt batteries. What is the power of the toy train?
Tamiku [17]

Answer:

12

Step-by-step explanation:

4 0
3 years ago
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A man walk 1/10 meters per second how long will it take him to walk in 5 minutes.
Stolb23 [73]

1 sec=1/10 m

5 min=300 sec

thus, 1/10 *300

=30 m

He will walk 30m in 5 min

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3 years ago
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Draw a diagram of the archway modeled by the equation y = -x2 + 5x + 24. Find and label the y-intercept and the
Delvig [45]

Answer:

Width of the archway at its base: 11 units, height of the archway at its highest point: 30.25 units.

Step-by-step explanation:

The graph that represents the equation y = -x^{2} + 5\cdot x + 24 is now sketched with the help of a graphing tool and whose representation is included in a file attached below. The point associated with x-intercepts are (-3, 0) and (8, 0) and the point associated with the highest point is (2.5, 30.25). The width of the archway at its base (\Delta x) and the height of the archway at its highest point (\Delta y) are, respectively:

\Delta x = 8 - (-3)

\Delta x = 11

\Delta y = 30.25

Width of the archway at its base: 11 units, height of the archway at its highest point: 30.25 units.

7 0
3 years ago
Suppose an airline policy states that all baggage must be box shaped with a sum of length, width, and height not exceeding 174 i
Leya [2.2K]

Answer:

The square-based box with the greatest volume under the condition that the sum of length, width, and heigth does not exceed 174 in is a cube with each edge of 58 in and a volume of 195112 in^{3}

Step-by-step explanation:

For this problem we have two constraints, that are as follows:

1) Sum of length, width, and heigth not exceeding 174 in

2) Lenght and width have the same measure (square-based box)

We know that volume is equal to the product of all three edges, and with the two conditions into account we have the next function:

V=(w^{2})(174-2w)\\V=174w^{2}-2w^{3}

The interval of interest of the objective function is [0, 87]

This problem requieres that we maximize the function that defines the volume. We start calculating the derivative of the function, wich is:

V'=348w-6w^{2} \\V'=(348-6w)(w)

We need to remember that the derivative of a function represents the slope of said function at a given point. The maximum value of the function will have a slope equal to zero.

So we find the value in wich the derivative equals zero:

0=(348-6w)(w)\\w_1=0\\w_2=348/6=58

The first value (w=0) will leave us with a 'height-only box', so the answer must be w=58 in

The value is between the interval of interest.

And, once we solve for the constraints, we have that:

Lenght = Width = Heigth = 58 in

Volume = 195112 in^{2}

8 0
3 years ago
A 2-column table with 6 rows. The first column is labeled x with entries negative 4, negative 2, 0, 2, 4, 6. The second column i
algol13

Answer: (-4,0), (4,0)

Step-by-step explanation:

x-intercepts are when y=0.

5 0
2 years ago
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