-5/3 can be turned to a mixed number =-1 2/3
So can 18/11 = 1 7/11
10/4 = 2 2/4 or 2 1/2 simplified
And -3/3 as 1
This may make it easier to graph own the number line
Answer:
Check below
Step-by-step explanation:
There are rigid transformations that produce congruent figures: translation, rotation, and one transformation that produces a similar figure, namely: Dilation.
1) Toyota: translation, and Dilation.
Two ellipses translated within a larger ellipse.
2) 2 Reflections, or 4 rotations of the pre-image
We have two ways of drawing this figure. Either by reflection of the right and the lower one or by rotation.
3) CBS: Dilation of the circumference, inside a rhombus.
4) Mitsubishi: Reflection about the y axis, Rotation for the figure up.
e) Reflection
f) Translation
You use FOIL
First
Outer
Inner
Last
(-x - 4)(x + 4)
The first terms for both are -x and x
-x * x = -x^2
Outer are -x and 4
-x * 4 = -4x
Inner are -4 and x
-4 * x = -4x
Last are -4 and 4
-4 * 4 = -16
Combine:
-x^2 - 4x - 4x - 16
-x^2 - 8x - 16
You want the total volume of a cuboid 1" × 10" × 38" and a cylinder 1" in diameter by 12" long.
Volume of a cuboid:
.. V = l*w*h
.. = (38")*(10")*(1")
.. = 380 in³
Volume of a cylinder:
.. V = (π/4)*d²*h
.. = (3.14/4)*(1")²*(12")
.. = 9.42 in³
Total volume = Volume of cuboid + Volume of cylinder
.. = 380 in³ +9.42 in³
.. = 389.42 in³
The volume of the coat rack is approximately 389.42 in³.
Answer:
Step-by-step explanation:
A trapezoid area is a rectangle area plus one or two trianagles areas on each end
Area of a trapezoid =( base 1 x height) + ((1/2)(base 2 - base 1) x height)
solve for height
factor out the height
Area = height [ base 1 + 1/2(base 2 - base 1)]
divide both sides by [ base 1 + 1/2(base 2 - base 1)]
Area / [(base 1 + 1/2(base 2 - base 1)] = height
plug and chug
68 / ( 7 + (1/2)(27 - 7) = height
height = 68 / (7 + (1/2)(20))
= 68 / 17
= 4 ft <-------------- FINAL ANSWER
