When you write a scale factor, the units have to be the same. In this case, 9mm on the drawing represents 1 meter on the house. Change 1 meter to millimeters (1m = 1000mm).
9 mm on the drawing represents 1000 mm on the house.
The scale factor is 9 to 1000, or, as a fraction, 9/1000.
Answer:
B ⊂ A
Step-by-step explanation:
We know that:
A {x|x is a polygon}
So set A is the set of all polygons.
B {x|x is a triangle}
Set B is the set of all triangles.
First, a polygon is a plane geometrical figure made of a finite sequence of straight segments.
For example, a triangle is a polygon, a rectangle is a polygon, etc.
Then, all triangles are polygons, but not all polygons are triangles.
So we can conclude that the whole set B is included in the set A.
Then the correct notation would be:
B ⊂ A
Answer:
Distance: 8.5440037453175
Step-by-step explanation:
Distance: 8.5440037453175
Steps:
Distance (d) = √(-7 - -10)2 + (-1 - -9)2
= √(3)2 + (8)2
= √73
= 8.5440037453175
Slope and Angle:
ΔX = -7 – -10 = 3
ΔY = -1 – -9 = 8
Slope (m) =
ΔY
ΔX
=
8
3
= 2.6666666666667
θ =
arctan( ΔY )
ΔX
= 69.443954780417°
Equation of the line:
y = 2.6666666666667x + 17.666666666667
or
y =
8 x
3
+ 53
3
When x=0, y = 17.666666666667
When y=0, x = -6.625
Answer:
121
Step-by-step explanation:
You are missing a parentheses
Assuming you just mean to close the parentheses
((5-(-4)^2)^2)
The first step is to complete the inside parentheses
PEMDAS
(5-(-4)^2)
Do the exponents first
(5-(16))
-11
Put this in the equation for (5-(-4)^2)
(-11) ^2
121
