Answer: 6928
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Explanation:
We have two areas we need to find: The area of the trapezoid and the area of the rectangle. Let's call these areas A1 and A2.
Area of Trapezoid = (height)*(base1+base2)/2
A1 = h*(b1+b2)/2
A1 = 80*(150+100)/2
A1 = 80*250/2
A1 = 20000
A1 = 10000
Area of Rectangle = (length)*(width)
A2 = L*W
A2 = 48*64
A2 = 3072
Subtract the two areas (A1-A2) to get the difference D
D = A1 - A2
D = 10000 - 3072
D = 6928
This difference D is exactly equal to the shaded area.
Answer:
so y.u on it lollllll
Step-by-step explanation:
bro you hat brainly for wut
Answer:
12 ft 2 in.
Step-by-step explanation:
Conversion: 1 ft = 12 in.
Add the lengths of the boards.
4 ft 10 in. + 2 ft 11 in. + 4 ft 5 in. =
= 4 ft + 2 ft + 4 ft + 10 in. + 11 in. + 5 in.
= 10 ft + 26 in.
= 10 ft + 24 in. + 2 in.
Since 1 ft = 12 in., then 24 in. = 2 ft.
= 10 ft + 2 ft + 2 in.
= 12 ft 2 in.
Alright, let's convert to decimals for these calculations: fractions could get messy.
1/5 = .2
1/2 = .5
Imagine a rectangular solid in your mind. How many sides does it have?
6. In the image shown you have 3 facing you. In addition to those, there are 3 not shown. They will correspond to the calculations you make on the front, though, so all you have to do is double the values you get.
Area is length * width, or length * height, or width * height. So:
A = 3.2 (length) * 4.5 (height) for the front face of the rectangular solid(as well as the back face.)
A = 5 (width) * 4.5 (height) for the right face of the rectangular solid (and the one on the left, away from you.)
A = 3.2 (length) * 5 (width) for the top of the solid(and the bottom).
Calculating these values, we get that
A=14.4
A=22.5
A= 16
So that's 3 out of 6 values for the full surface area.
Like I said though, these values can merely be doubled for the complete area.
Add these three together:
14.4+22.5+16=52.9
multiply by 2 to account for the other 3 sides
52.9 * 2 = 105.8
105.8 is the surface area.
<u>Answer:</u>
<u>Step-by-step explanation:</u>
We are given the following expression and we are to simplify it:
To make it easier to solve, we can also write this expression as:
Now we will cancel out the like terms to get:
Taking the square root of the terms to get:
