Answer:
1. Reflection across y-axis and translated down 1 unit
2. 270 degree counterclockwise rotation and translated right three units.
Step-by-step explanation:
For number 1, when you reflect across the y-axis, the polygon is one unit above the intended location, so you would move it down one.
For number two, when you rotate it 270 degrees counterclockwise, it is to the left three units, so you would move it to the right three units.
Answer:
largest angle = 92°
Step-by-step explanation:
Since the measurement of the angles are;
x°, ( x + 6)°, (2x + 10)°
And we know that sum of angles in a triangle is 180. Thus;
x + (x + 6) + (2x + 10) = 180
x + x + 6 + 2x + 10 = 180
4x + 16 = 180
4x = 180 - 16
4x = 164
x = 164/4
x = 41°
The other two angles will be;
(41 + 6)° and (2(41) + 10)°
Which gives;
47° and 92°
So,largest angle = 92°
Answer:
7088 m²
Step-by-step explanation:
The area of the half-cylinder is half the area of a cylinder with the same dimensions. This half-cylinder has a radius of 0.3 m and a length of 0.8 m, so its area is ...
A = πr(r +l) = π(0.3 m)(0.3 m+0.8 m) = 0.33π m² ≈ 1.0362 m²
The area of the bottom part of the box is the sum of its lateral area and its base area.
lateral area = Ph = (2(0.6m +0.8m))(0.75 m) = 2.1 m²
base area = lw = (0.8 m)(0.6 m) = 0.48 m²
The total area is then ...
total area = half-cylinder area + lateral area + base area
= 1.0362 m² +2.1 m² +0.48 m²
= 3.6162 m²
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The area for 1960 mailboxes will be 1960 times this area, or ...
area for week's production = 1960 × 3.6162 m² = 7087.752 m²
It will take about 7088 square meters of aluminum to make these mailboxes.
Answer:
24x + 8
Step-by-step explanation:
4 + 16 - 12(1 + 2x)
Solve
Show steps
__________________
We have a dilemma here, there is a variable and constant numbers in this equation. No fear, this is when like terms comes into play, where you can only combine two numbers that have the same ending, whether it be variables, exponents, e.t.c.
Distribute :
4 + 16 - 12(1 + 2x)
4 + 16 - (12(1) + 12(2x))
4 + 16 - 12 + 24x
Use PEMDAS (Add left to right) :
4 + 16 - 12 + 24x
20 - 12 + 24x
8 + 24x
24x + 8
