Answer
Area: 3,818
Perimeter: 258
Type: Rectangle
Solution
To find the Area you have to do
Length x Width
so it is 83 times 46 which is 3818
To find Perimeter it is
Length + Length + Width + Width
or 83 + 83 + 46 + 46 = 258
For type i don’t know so probably the type is rectangle
Answer:
x = 94°
Step-by-step explanation:
The measure of the chord- chord angle CED is half the sum of the arcs intercepted by the angle and its vertical angle, that is
( arc CD + arc AB ) = 82°
Multiply both sides by 2 to clear the fraction
CD + AB = 164°, that is
x + 70 = 164 ( subtract 70 from both sides )_
x = 94°
When you add integers, you keep the sign on the sum.
For example:
-9 + -9 = -18 (kept the sign)
9 + 9 = 18 (kept the "sign")
The smallest amount of material needed is 54 square centimeters
<h3>How to determine the amount of material needed?</h3>
The given parameters are:
Volume = 36 cubic centimeters
Represent length with x, width with y and height with z.
So, we have
x = 3y
The volume is calculated as:
V = xyz
This gives
V = 3y²z
Substitute 36 for V
3y²z = 36
Divide by 3
y²z = 12
Make z the subject
z = 12/y²
The surface area is:
S = 2(xy + xz + yz)
This gives
S = 2(3y² + 3yz + yz)
Evaluate the like terms
S = 2(3y² + 4yz)
Expand
S = 6y² + 8yz
Substitute z = 12/y²
S = 6y² + 8y * 12/y²
This gives
S = 6y² + 96/y
Differentiate
S' = 12y - 96/y²
Set to 0
12y - 96/y² = 0
Multiply through by y²
12y³ - 96 = 0
Add 96 to both sides
12y³ = 96
Divide by 12
y³ = 8
Take the cube root of both sides
y = 2
Recall that:
x = 3y and z = 12/y²
This gives
x = 3 * 2 = 6
z = 12/2² = 3
Recall that:
S = 2(xy + xz + yz)
So, we have:
S = 2(6 * 2 + 3 * 3 + 2 * 3)
Evaluate
S = 54
Hence, the smallest amount of material needed is 54 square centimeters
Read more about surface areas at:
brainly.com/question/76387
#SPJ1
Answer:
<u><em>72</em></u> babies altogether
Step-by-step explanation:
2 = The 2 Gerbils
6 = the 6 baby gerbils each has
12 months = a year
_________________________
2 months) 2 x 6 = 12
4 months) 2 x 6 = 12
6 months) 2 x 6 = 12
8 months) 2 x 6 = 12
9 months) 2 x 6 = 12
12 months) 2 x 6 = 12
12 + 12 + 12 + 12 + 12 + 12 = 72
