Answer:
x = 2
Step-by-step explanation:
To find the value of x, we simply need to use the know values for the lengths, widths, and perimeter of the rectangle.
The formula for the perimeter of a rectangle is as follows:
P = 2L + 2W
Where P is the perimeter, L is the length, and W is the width.
Let L = 7x + 5 and W = x - 3
Now, we will simply plug our values into the formula and solve for x.
P = 2L + 2W
36 = 2 ( 7x + 5 ) + 2 ( x - 3 )
36 = 14x + 10 + 2x + -6
36 = 16x + 4
32 = 16x
2 = x
Thus, we have found the value of x to be 2.
Cheers.
Surface area of cylinder is 2 (pi)rh+2(pi)r^2
this is the area of the side [(2 (pi)rh] and the two circles together [2 (pi)r^2]
122. r=24
h=15
2 (3.14)24×15+2 (3.14)24^2
6.28×24×15+6.28×24^2
2260.8+3617.28
5878.08mm
123. r=5
h=8
2 (3.14)5×8+2 (3.14)5^2
6.28×5×8+6.28×5^2
251.2+157
408.2cm
124. the surface area of a cylinder that has a hole is going to be
surface area of big cylinder-2small area circles (the holes) + the area of the holes sides
hopefully that isn't too confusing
big radius: 8
height: 14
little radius: 2.5
height: 14
2 (3.14)8×14+2 (3.14)8^2
6.28×8×14+6.28×8^2
703.36+401.92
1105.28in (area of big cylinder)
2 (3.14)2.5^2 (two small holes)
6.28×2.5^2
39.25in (area of holes)
2 (3.14)×2.5×14 (area of side)
6.28×2.5×14
219.8in
1105.28-39.25+219.8
1066.03+219.8
1285.83in total surface area
125. h=20
r=6 since diameter is a foot or 12 in, half of that is 6
2 (3.14)6×20+2 (3.14)6^2
6.28×6×20+6.28×6^2
753.6+226.08
979.68in
126. first radius= 10
first height = 6
second radius= 6
second height= 10
2 (3.14)10×6+2 (3.14)10^2
6.28×10×6+6.28×10^2
376.8+628
1004.8in (surface area of first cylinder)
2 (3.14)6×10+2 (3.14)6^2
6.28×6×10+6.28×6^2
376.8+226.08
602.88in (surface area of second cylinder)
1004.8-602.88= 401.92
the surface area of the cylinder with radius 10 and height 6 is GREATER that the surface area of the cylinder with radius 6 and height 10..
by 401.92in
Answer:
- 3.5(1.6 + 4.6 - 8.5) - 9.75
- = 3.5(-2.3) - 9.75
- = -8.05 - 9.75
- = -17.8
Step-by-step explanation:
- 1.6 + 4.6 - 8.5 = -2.3
- 3.5(-2.3) = 3.5 × -2.3 = -8.05
- -8.05 - 9.75 = -17.8
I hope this helps!
The volume of a box like this is found by multiplying the length times the width times the height. We are told that the length is 8 more inches than the width, so the width is w and the length is w + 8. If we cut away 3 square inches from each corner, the height when we fold up those corners is going to be 3. The volume is given as 27, so our formula looks like this:
. When we do that multiplication, we have
. We need to solve for w so we can then solve for h. Move the 27 over and set the quadratic equal to 0.
. We can then factor out a 3 to make the job easier:
. Now we can factor to solve for w. The 2 numbers that add up to 8 and multiply to -9 are 9 and -1. So (w+9) = 0, (w-1) = 0, or 3 = 0. Of course 3 doesn't equal 0, so that's out. w + 9 = 0 so w = -9. w - 1 = 0 so w = 1. There are 2 things in math that can never EVER be negative and those are time and distance/length. So -9 is out. That means that w = 1. But don't forget that there was 6 inches cut off each side, so the width is 1 + 3 + 3 which is 7. The length is w + 8 which means that the length is 7 + 8 or 15. Those are the dimensions of the rectangle before it was cut.
The bisector of an angle is a segment or a ray that passes through the vertex and splits it into two congruent angles.
Hope this is of great help to you, and happy studying~!
~Mistermistyeyed.
