Answer:
12a. 471.2 cm²
12b. 60 m²
Step-by-step explanation:
Part A.
The surface area of each figure is the sum of the end area and the lateral area.
<u>cylinder</u>
S = (2)(πr²) +2πrh = 2πr(r +h)
S = 2π(5 cm)(5 cm +10 cm) =150π cm² ≈ 471.2 cm²
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<u>triangular prism</u>
S = (2)(1/2)bh + PL . . . . b=triangle base; h=triangle height; P=triangle perimeter; L=length of prism
S = (4 m)(1.5 m) + ((4 + 2·2.5) m)(6 m) = (6 + 54) m² = 60 m²
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Part B.
Surface area is useful in the real world wherever products are made from sheets of material or wherever coverings are applied.
Carpeting or other flooring, paint, wallpaper are all priced in terms of the area they cover, for example.
The amount of material used to make containers in the shapes shown will depend on the area of these containers (and any material required for seams).
Answer:
24%
Step-by-step explanation:
25 - 19 = 6
25 = 100%
2.5 = 10%
1.25 = 5%
0.25 = 1%
5 = 20%
1 = 4%
6 = 24%
Hope this helps :)
Given:
The point is (6,2).
To find:
The image of given point after rotation of 270 degrees.
Solution:
Let the given point be P(6,2).
Rotation of 270 degrees means the figure is rotated 270 degrees counterclockwise about the origin. So, the rule of rotation is
Using this rule, we get
Therefore, the image of given point is (2,-6).
<h3>
Answer: 4 dollars and 17 cents</h3><h3>This is the same as saying $4.17</h3>
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Explanation:
15+35.50 = 50.50 dollars is the total before tax is applied.
Take 8.25% of this to get
0.0825*50.50 = 4.16625
and this rounds to 4.17, which is the amount of sales tax charged.
$4.17 = 4 dollars + 17 cents
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Extra info:
The grand total will be 50.50+4.17 = 54.67
Another way to get the grand total is to multiply 1.0825 by the previous subtotal (50.50) getting 50.50*1.0825 = 54.66625 and that rounds to 54.67
The multiplier 1.0825 effectively means "increase by 8.25%"
ANSWER:
d = 15
The swimmer swam 48 kilometres in 15 days.
STEP-BY-STEP EXPLANATION:
Let d = total no. of days the swimmer swam
Total no. of kilometres swam = 48
Average no. of kilometres swam daily = 3.2
THEREFORE:
3.2d = 48
d = 48 / 3.2
d = 15
