Answer:
MMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMM
Step-by-step explanation:
VVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVV
Answer:
The angle of rotation is 214°.
Step-by-step explanation:
Formula for arc length:
The length of arc is the product of radius and the central angle ( in radian).
L= rθ
L= Length of arc
r= Radius
θ= Central angle (in radian).
Here L= 280 feet and diameter =150 feet.
Radius
feet =75 feet
L= rθ
![\Rightarrow \theta =\frac{L}{r}](https://tex.z-dn.net/?f=%5CRightarrow%20%5Ctheta%20%3D%5Cfrac%7BL%7D%7Br%7D)
radian.
We know that,
π radian= 180°
![\Rightarrow 1 \ radian= \frac{180^\circ}{\pi}](https://tex.z-dn.net/?f=%5CRightarrow%201%20%5C%20radian%3D%20%5Cfrac%7B180%5E%5Ccirc%7D%7B%5Cpi%7D)
![\Rightarrow \frac{280}{75} \ radian = \frac{180^\circ}{\pi}\times \frac{280}{75}](https://tex.z-dn.net/?f=%5CRightarrow%20%5Cfrac%7B280%7D%7B75%7D%20%5C%20radian%20%3D%20%5Cfrac%7B180%5E%5Ccirc%7D%7B%5Cpi%7D%5Ctimes%20%20%5Cfrac%7B280%7D%7B75%7D)
= 214°
The angle of rotation is 214°.
Given:
50 earring boxes with a measure of 1 inch each side
volume of boxes = a³ = 1³ = 1 in³
total volume of boxes = 1 in³ * 50 boxes = 50 in³
volume of a rectangular prism = length * width * height
50 in³ = length * width * height
Let us assume that the height is 1 in.
length and width can be factored:
50 x 1
25 x 2
10 x 5
I can only make 3 rectangular prisms
Answer:
Step-by-step explanation:
I encourage my Geometry students to be a bit more thorough than this proof table allows, but we can get it done anyway.
1. ∠2≅∠4 Given
2. m║n If corresponding angles are congruent, then the
lines cut by a transversal are parallel
3. ∠1≅∠3 Alternate interior angles are congruent