Answer:
Part A: <em>x = </em>55°
Step-by-step explanation:
<em>Part A Work:</em>
x + 65 = 120
<em>Part B Work:</em>
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</em>The transversal passes through the 2 conforming lines which allows you to use rules such as opposing interior angles. <em>
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<em>hope this helps!</em>
<em>- Kiniwih426</em>
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We need to buy concrete floor paint for 1379 ft² and 163.2 feet lattice for the outside of the shed.
Solution:
To know how much paint we need to buy, we should know the total floor area to be painted.Think about the floor as four rectangles and a triangle.
The area of the 31' by 36' main rectangle is 31*36 = 1116 ft²
The area of the next largest rectangle is 10*21.5 = 215 ft²
The area of the next to the smallest rectangle is 2.5*12 =30 ft²
The smallest rectangle area is 3*4.5 = 13.5 ft²
Lastly, ½*3*3 = 4.5 ft² is the area of the triangle.
The total floor area is the sum of the five areas:
Area = 1116 + 215 + 30 + 13.5 + 4.5 = 1379 ft²
To know how much lattice is needed for the outside of the shed, we calculate for the perimeter by taking the sum of the length of each side. Starting on the right side then clockwise we have
Perimeter = 36 + 31 + (36 - 21.5 - 3) + 4.2 + (10 - 3) + 21.5 + 3 + 4.5 + 3
+ 2.5 + 12 + 2.5 + (31 + 10 - 4.5 - 12)
= 163.2 feet
We would need to buy 163.2 feet lattice for the outside shed. Take note that the doors are included here. But if the two 3 feet doors are not included in the lattice, we will just subtract the length of the two doors from the perimeter. Thus, the lattice needed would only be 163.2 - 3*2 = 157.2 feet.
Answer:
Correct group: fourth image
Surface area = 32 in2
Step-by-step explanation:
The dimensions required is 2 x 3 x 2, so in one dimension we need 2 cubes, in a second dimension we need 3 cubes, and in the third dimension we need 3 cubes.
In the first image, we have a 2 x 3 x 3 prism.
In the second image (to the right of the first one), we have a 2 x 4 x 1 prism.
In the third image (below the first one), we have a 3 x 4 x 1 prism.
In the fourth image, we have a 2 x 3 x 2 prism, so this is the correct option.
The surface area os this prism is 2*(2*2) + 2*(2*3) + 2*(2*3) = 8 + 12 + 12 = 32 in2
Answer:
11126
Step-by-step explanation:
The <em>mean</em> of a set of data is another name for its <em>average</em>. It is the sum of the data, divided by the number of numbers in the sum.
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If you use a calculator to help you with the computation of the addition or division, you may as well use the calculator's "mean" function to do the job.
The mean of the given 6 values is their sum, divided by 6. The units of the mean are the same as those of the contributors.
(1117 +1409 +675 +536 +1398 +1621)/6 = 6756/6 = 1126 . . . . degrees F
The mean of the data is 1126 °F.