The shorter piece is 37 cm
The longer piece is 48 cm:
Step-by-step explanation:
Divide 85 cm by 2 = 42.5
Divide 11 cm by 2 = 5.5
Add them together = 48 cm
85 cm - 48 cm = 37 cm
The minimum number of sides that the polygon at the base of the prism must has 4 sides.
<h3>What is a Polygon?</h3>
This refers to the plane figure in geometry that has three or more sides and angles in a finite straight line.
As we know the minimum number of sides a polygon does the base of the polygon have 4 side.
Now, as the plane intersect a prism parallel to base of the prism so the polygon of 5 sides will form then at least the base of the polygon will have 4 sides.
Learn more about polygons here:
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Simplifying
3.6y = 5.4 + 3.3y
Solving
3.6y = 5.4 + 3.3y
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '-3.3y' to each side of the equation.
3.6y + -3.3y = 5.4 + 3.3y + -3.3y
Combine like terms: 3.6y + -3.3y = 0.3y
0.3y = 5.4 + 3.3y + -3.3y
Combine like terms: 3.3y + -3.3y = 0.0
0.3y = 5.4 + 0.0
0.3y = 5.4
Divide each side by '0.3'.
y = 18
Simplifying
y = 18
2. 3/5(a+5)=-1/3a-4
We move all terms to the left:
3/5(a+5)-(-1/3a-4)=0
Domain of the equation: 5(a+5)!=0
a∈R
Domain of the equation: 3a-4)!=0
a∈R
get rid of parentheses
3/5(a+5)+1/3a+4=0
calculate fractions
9a/(15a^2+75a)+(5aa/(15a^2+75a)+4=0
3. Simplifying
-2(x + 3) = 3x + -9 + -5x
Reorder the terms:
-2(3 + x) = 3x + -9 + -5x
(3 * -2 + x * -2) = 3x + -9 + -5x
(-6 + -2x) = 3x + -9 + -5x
Reorder the terms:
-6 + -2x = -9 + 3x + -5x
Combine like terms: 3x + -5x = -2x
-6 + -2x = -9 + -2x
Add '2x' to each side of the equation.
-6 + -2x + 2x = -9 + -2x + 2x
Combine like terms: -2x + 2x = 0
-6 + 0 = -9 + -2x + 2x
-6 = -9 + -2x + 2x
Combine like terms: -2x + 2x = 0
-6 = -9 + 0
-6 = -9
Solving
-6 = -9 (No solution)
4. Simplifying
2(x + -1) + 6x = 4(2x + -1) + 2
Reorder the terms:
2(-1 + x) + 6x = 4(2x + -1) + 2
(-1 * 2 + x * 2) + 6x = 4(2x + -1) + 2
(-2 + 2x) + 6x = 4(2x + -1) + 2
Combine like terms: 2x + 6x = 8x
-2 + 8x = 4(2x + -1) + 2
Reorder the terms:
-2 + 8x = 4(-1 + 2x) + 2
-2 + 8x = (-1 * 4 + 2x * 4) + 2
-2 + 8x = (-4 + 8x) + 2
Reorder the terms:
-2 + 8x = -4 + 2 + 8x
Combine like terms: -4 + 2 = -2
-2 + 8x = -2 + 8x
Add '2' to each side of the equation.
-2 + 2 + 8x = -2 + 2 + 8x
Combine like terms: -2 + 2 = 0
0 + 8x = -2 + 2 + 8x
8x = -2 + 2 + 8x
Combine like terms: -2 + 2 = 0
8x = 0 + 8x
8x = 8x
Add '-8x' to each side of the equation.
8x + -8x = 8x + -8x
Combine like terms: 8x + -8x = 0
0 = 8x + -8x
Combine like terms: 8x + -8x = 0
0 = 0
Solving
0 = 0 (all real numbers)
Answer:
To round off a number to 2 decimal places, look at the digit in the thousandths place. If the digit in the thousandths place is greater or equal to 5, the hundredths digit is increased by one unit.
Step-by-step explanation:
Well it looks like you just need to get the y axis number and the x axis number and multiple then