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Archy [21]
3 years ago
14

Juan's class is going to construct an outdoor garden. The garden will be in the shape of a square, Juan's teacher gave the class

three
options for the area of the garden: 30 square feet, 40 square feet, or 50 square feet.
Part A
Without using a calculator, approximate the side length, to the nearest tenth of a foot, for the garden with an area of 30 square fet. Show
your work.
Part B
The other two garden options have approximate side lengths of 6.3 feet and 7.1 feet. Locate and graph the three points on a horizontal
number line to show the approximation of the side length for each option.

Mathematics
1 answer:
Brrunno [24]3 years ago
7 0

Answer:

Part A: 5.5

Part B: Kindly refer to the attached image for the number line representation.

Step-by-step explanation:

Given that:

Possible area of the first garden = 30 sq ft

Possible area of the second garden = 40 sq ft

Possible length of the second garden = 6.3 ft

Possible area of the third garden = 50 sq ft

Possible length of the third garden = 7.1 ft

To find:

Part A: Side length of the square with area 30 sq ft to the nearest tenth.

Part B: Locating and graphing the three points on a horizontal number line.

Solution:

Formula for area of a square:

Area =(Side)^2

Part A: Given that area = 30 sq ft

Putting in the formula to find the value:

30=Side^2\\\Rightarrow Side = 5.477 \approx \bold{5.5\ ft}

Part B:

Kindly refer to the attached image for the number line representation of the given two lengths and the length calculated for the first square.

The three lengths are 5.5, 6.3 and 7.1 respectively.

The three numbers to located on the graph are = 5.5, 6.3 and 7.1

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Find the midpoint of points A(-3,9) and B(0, 1) graphically.
Studentka2010 [4]

Answer:

(-\frac{3}{2} , 5)

Step-by-step explanation:

The graph is in the image

Midpoint =\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)\\\\\left(x_1,\:y_1\right)=\left(-3,\:9\right),\:\left(x_2,\:y_2\right)=\left(0,\:1\right)\\\\\left(\frac{0-3}{2},\:\frac{1+9}{2}\right)\\\\Add\:or\:subtract\:the\:numbers\\\\(\frac{-3}{2} , \frac{10}{2})  \\\\Simplify\\\\(-\frac{3}{2} , 5)\\

7 0
3 years ago
Byron has his own bakery. He bakes 84 cakes each week. How many can he make in one day?
Lerok [7]

Answer: 12 cakes

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Assume a warehouse operates 24 hours a day. Truck arrivals follow Poisson distribution with a mean rate of 36 per day and servic
kirill [66]

The expected waiting time in system for typical truck is 2 hours.

Step-by-step explanation:

Data Given are as follows.

Truck arrival rate is given by,   α  = 36 / day

Truck operation departure rate is given,   β= 48 / day

A constructed queuing model is such that so that queue lengths and waiting time can be predicted.

In queuing theory, we have to achieve economic balance between number of customers arriving into system and that of leaving the system whether referring to people or things, in correlating such variables as how customers arrive, how service meets their requirements, average service time and extent of variations, and idle time.

This problem is solved by using concept of Single Channel Arrival with exponential service infinite populate model.

Waiting time in system is given by,

w_{s} = \frac{1}{\alpha - \beta  }

        where w_s is waiting time in system

                   \alpha is arrival rate described Poission distribution

                   \beta is service rate described by Exponential distribution

w_{s} = \frac{1}{\alpha - \beta  }

w_{s} = \frac{1}{48 - 36 }

w_{s} = \frac{1}{12 } day

w_{s} = \frac{1}{12 }  \times 24  hour        ...it is due to 1 day = 24 hours

w_{s} = 2 hours

Therefore, time required for waiting in system is 2 hours.

           

                   

5 0
3 years ago
one of the students wants to make a tabletop shaped like a right triangle the tabletop will have the same area as the tabletop s
Paha777 [63]
The area of the given figure is equal to the area of a rectangle with sides 5 feets by 6 feets less the area of four square cut-outs of side 1 feet.
Area of the rectangle = 5 x 6 = 30 square feets.
Area of the four square cut-outs = 4(1 x 1) = 4 x 1 = 4 square feet
Area of the given figure = 30 - 4 = 26 square feet.

Area of a triangle = 1/2 x base x height
i.e. 1/2 bh = 26
bh = 26 x 2 = 52
possible values of base and height = (1 and 52), (2 and 26), (4 and 13)
5 0
3 years ago
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