Answer:
442.5 feet^2
Step-by-step explanation:
So this figure is an octagonal prism.
First off we need to find the area of the two octagons.
The formula for the area is 2(1+ to the square root of 2)a^2.
The a is one side value and in this case it is 4 so plug that in and you get 77.25 feet^2.
The same steps apply for the bottom octagon but we don’t have to do that because it is the same as the top one.
So adding up the two octagons is 154.5 feet^2.
Now time for the rectangles.
In total there are 8 rectangles and a really easy way to do this is finding the area of one rectangle and multiplying that by 8.
So the length is 9 and the width is 4 and when you multiply that together you get 36.
Then multiply 36 by 8 and you will get 288 feet^2.
So when you add up 288 and 154.5 you will get 442.5 feet^2 as your final answer.
Answer:
tan(45°) = 1
Step-by-step explanation:
We know that sin (45°) = √2/2, and cos(45°) = √2/2.
Given that tan(x) = sen(x) / cos(x), we get:
tan(45°) = (√2/2) / (√2/2) = 1
Therefore, tan(45°) = 1
Attached you will find the important angles summary
If you convert the numbers without rounding first, the number would be 3.10686.
So you have to round to the nearest tenth, which should be 3.1 miles.
hope this helped!
Given:
lemon juice = 60% in the bottle
water = 1 liter.
Since lemon juice is 60% and the rest is water. Water is 40% of the bottle.
1 liter of water is equivalent to 40% of the bottle.
1/40% = 2.50 liters amount of total liquid in the water.
2.50 x 60% = 1.5 liters of lemon juice.
0.6x + 0.4x = 2.5
Divide the scaled dimensions by 2, then multiply that by 7:
Length: 20 / 2 = 10. 10*7 = 70 feet.
Width: 10 / 2 = 5. 5 * 7 = 35 feet.
A) The pool is 70 feet long by 35 feet wide.
B) Area is length x width
Area = 70 * 35 = 2,450 square feet.
Cover cost 0.30 per square foot.
Total cost = 2,450 x 0.30 = $735
