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storchak [24]
3 years ago
10

An office manager needs to decide between two tables for the conference room. One is rectangular, 5 feet wide by 10 feet long. T

he other is a circle with an 8-foot diameter. Which table can seat more people? Explain your answer be sure to support your answer using facts about the tables.
Mathematics
1 answer:
7nadin3 [17]3 years ago
6 0

Answer:

The rectangular 5 x 10 table.

Step-by-step explanation:

To find which table the office manager needs to get so he can sit more people at it is decided by one factor, the perimeter. The rectangular one, which is 5 x 10 the perimeter is (5 x 2) + (10 x 2) = 10 + 20 = 30. The circular one can be calculated by the equation\pi * d where d = 8. Putting /pi x 8 in my calculator and it comes out approximately at 25.132, having a less amount of perimeter space to work with, making the rectangular table the way to go.

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if the area of a square is 144 feet and the perimeter of the triangle is 28 feet, what is the perimeter of the room's floor?
FinnZ [79.3K]

Answer:

52+12\pi

Step-by-step explanation:

The diagram for the question is attached below

perimeter of the triangle is 28 feet

area of a square is 144 feet

Area of the square is side^2

side ^2= 144

take square root on both sides

side = 12

side of the square = 12

side is the diameter of the semicircle

Diameter = 12 , so radius = 12 divide 2 = 6

circumference of semicircle = 2\pi r=2\pi (6)=12\pi

one side of the rectangle is calculated in the perimeter of triangle and other side is calculated using circumference

perimeter of other two side = 2(12)= 24

Total perimeter = 28+24+12\pi =52+12\pi

4 0
4 years ago
On a bicycle trail, the city is painting arrows like the one shown below: Upper pointing arrow with height of 15 and length of 1
Luden [163]

Answer:

229.5cm^{2}

Step-by-step explanation:

In order to calculate the area of the arrow we need to calculate the area of the body of the arrow, and then the head of the arrow. The body of the arrow is a rectangle meaning that the area (Ar) can be calculated by multiplying the length by the height like so...

Ar = l * h

Ar = 11cm * 12cm

Ar = 132 cm^{2}

Now we need to find the area of the head of the arrow, which is a triangle and therefore we can use the formula for the area of a triangle (At) which is height times base divided by 2...

At = \frac{h * b}{2}

At = \frac{15cm * 13cm}{2}

At = \frac{195cm^{2} }{2}

At = 97.5cm^{2}

Now we simply add both areas together to calculate the total area of the arrow...

132cm^{2} + 97.5cm^{2} = 229.5cm^{2}

6 0
3 years ago
Read 2 more answers
Monica paid sales tax of $1.60 when she bought a new bike helmet. If the sales tax rate was 8%, how much did the store charge fo
Lapatulllka [165]
To find the total from the percent part you have, you divide the part by the percentage.
1.50÷0.05=30
The total is $30
The total the store charged, including sales tax, is $31.50.
5 0
3 years ago
The temperature at 6:00 am was -12 Fahrenheit. The temperature increased by 1/2 Fahrenheit each hour for 6 hours. What was the t
zlopas [31]

Answer: -9°F

Step-by-step explanation:

From the question, we are told that the temperature at 6:00 am was -12 Fahrenheit and that the temperature increased by 1/2 Fahrenheit each hour for 6 hours.

The temperature, in degrees Fahrenheit, at noon would be:

= -12°F + 1/2(6)

= -12°F + 3°F

= -9°F

6 0
3 years ago
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laila [671]

Answer:

o lines

Step-by-step explanation:

4 0
3 years ago
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