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umka21 [38]
3 years ago
5

A monument outside city hall has dimensions as shown below in the figure. If one gallon of paint can cover 213 ft^2, how many ga

llons of paint must be bought in order to paint the monument? Assume that the base of the monument cannot be painted and that paint can be bought only by the gallon.

Mathematics
1 answer:
rusak2 [61]3 years ago
3 0

Answer:

sides

14 X 22 = 308 square foot there are four of these

308 X 4 = 1232 square foot.

triangles

A= 0.5 X b X h

0.5 X 14 X 10 = 70 square foot again there are four of these 70 X 4 = 280 square foot

1232 + 280 = 1512 square foot

1512/213 = 7.09859154

8 gallons of paint will need to be purchased.

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The diagram shows a logo made from 3 circles.
Cloud [144]

Answer:

% area of the shaded region = 33%

Step-by-step explanation:

Radius of the middle circle = 7 cm

Radius of the inner circle = 4 cm

Area of the middle circle = πr²

                                          = π(7)²

                                          = 49π

   Area of the inner circle = π(4)²

                                           = 16π

Area of the shaded region= 49π - 16π

                                            = 33π

Area of the outermost circle = π(10)²

                                               = 100π

% area of the shaded region = \frac{\text{Area of the shaded region}}{\text{Area of the inner circle}}\times 100

                                                = \frac{33\pi }{100\pi }\times 100

                                                = 33%

Therefore, area of the shaded region is 33% of the complete logo.

3 0
3 years ago
The box-and-whisker plot summarizes student scores on a physical fitness test. Students receive an award for scores at or above
Lena [83]

Answer:

74

Step-by-step explanation:

To receive an award, student must obtain a score at or above the upper quartile, from.tye boxplot, the upper quartile is depicted by the endpoint of the box. Hence, the upper quartile of the distribution is 74. Hence only stude Ts who score 74 and above will receive an award Hence, the minimum score required is 74.

4 0
3 years ago
A circle with equation (x+2)² + (y – 8)² = 16 has what center and radius?
aksik [14]
The answer is B.Center (2 -8) Radius =4
7 0
2 years ago
Read 2 more answers
A table titled Number of Dogs Adopted has entries 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9. The total is 13
saw5 [17]

Answer:

1) Mean = 6.28

2) Median = 7

3) Mode = 8

4) Range = 6

Step-by-step explanation:

We need to find Mean, Median, Mode and Range of data given in tables.

1) Mean

The formula used to calculate mean is: Mean=\frac{Sum\:of\:all\:data\:points}{Number\:of\:data\:points}

The data given is: 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9

Sum of all data points = 132

Number of data points = 21

Finding mean:

Mean=\frac{Sum\:of\:all\:data\:points}{Number\:of\:data\:points}\\Mean=\frac{132}{21}\\Mean=6.28

So, Mean = 6.28

2) Median

The formula used to calculate median is: Median=\frac{n+1}{2}\:th\: term because we have n = odd

Number of data points n = 21

Putting values and finding the position of median term

Median=\frac{n+1}{2}\:th\: term\\Median=\frac{21+1}{2}\:th\: term\\Median=\frac{22}{2}\:th\: term\\Median=11\:th\:term

So, in the given data : 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9

The 11 th term is 7

So, Median = 7

3) Mode

The mode is the most repetitive value of data set.

In the given data set: 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9

The most repetitive value is 8

So, Mode = 8

4) Range

The range can be calculated using formula: Range=Maximum\:Value-Minimum\:Value

In the given data set: 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9

Maximum value = 9

Minimum value = 3

So, the range is:

Range=Maximum\:Value-Minimum\:Value\\Range=9-3\\Range =6

So, Range = 6

3 0
3 years ago
Read 2 more answers
Halla tres enteros pares consecutivos tales que 6 veces el primer entero sea 26 más que la suma del segundo y tercer enteros.
RideAnS [48]

The consecutive even integers are 8, 10 and 12.

<h3>How to calculate the value?</h3>

Let the integers be x, x + 2, and x + 4.

Therefore, the equation will be:

6(x) = x + 2 + x + 4 + 26

6x = 2x + 32

Collect like term

6x - 2x = 32

4x = 32

Divide

x = 32/4.

x = 8

The numbers are 8, 10 and 12.

Learn more about integers on:

brainly.com/question/17695139

#SPJ1

3 0
1 year ago
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