Answer:
x=12, DO=45O, G=45, DG=90
Step-by-step explanation:
Mid point means both lenghts are equal
4x-3=2x+21
2x=24
X=12
-----------------
1)4(12)-3=48-3=45
2)2(12)+21=24+21=45
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DO=45
OG=45
DG=90
To start, you know that this question is asking for the surface area of one of the cylinders, and the formula to finding the surface area of a cylinder is A=2πrh+2<span>πr^2.
Now, to find the surface area, you first need to figure out the height of the plastic cylinder and its radius.
Since you know that the diameter (twice the radius) of the cylinder is equivalent to 4 marbles, and each marble has a diameter of 2 cm, the diameter of the cylinder would be 8 cm. Then, to find its radius, you divide by 2, so its radius is 4.
Now, since you know that the height of the cylinder is 10 marbles, you multiply 10 by 2 to get that the height is 20 cm tall.
Since you now have the values of the height and the radius, plug the values into the surface area of a cylinder formula (r is radius and h is height).
</span>A=2π(4)(20)+2π(4)^2.
<span>Assuming that pi is 3.14, when you simplify this using PEMDAS, you get
502.4+100.48 which then simplifies to 602.88, the area of the plastic to make one cylinder.
</span>
Answer:
The formula for the area of a square with sides of length x is A = x2 so
x2 = 400 is the equation
This equation has 2 solutions, namely x = ±√400 = +20 or -20
The negative solution does not make sense because a length cannot be less than 0.
The total length needed to go around the painting is the perimeter of the square, which is
P = 4*x = 4*20 = 80 inches
Answer:
66 feet
Step-by-step explanation:
Parallelograms have 2 pair of parallel sides that are congruent to each other.
In parallelogram ABCD, we can say:
AB = DC
and
BC = AD
AB and DC are given, and they are equal. So we can say:
AB = DC
6x - 2 = 3x + 13
Now we can solve for x:
6x - 2 = 3x + 13
6x - 3x = 13 + 2
3x = 15
x = 15/3
x = 5
So,
AB = 6x - 2
AB = 6(5) - 2 = 28
So, DC = 28
We are also given AD = 5, so BC = 5 as well [since AD = BC]
Now, we know the length of all 4 sides.
The perimeter is the sum of all 4 sides. Hence,
Perimeter = 28 + 28 + 5 + 5 = 66 feet
Do you have a picture of the trapezoid graphed ?