I think it’s D I don’t know
Answer: 216 degrees
Step-by-step explanation:
The area of a circle = πr^2 while
The area of a sector = θ/360 × πr^2
if the area of the circle and the area of the sector are in the proportion of 5:3,
Then, area of a circle divided by the area of a sector will be equal to 5/3. That is,
πr^2 ÷ θ/360 × πr^2 = 5/3
πr^2 ÷ θπr^2/360 = 5/3
πr^2 × 360/ θπr^2 = 5/3
πr^2 will cancel out. Leading to
360/θ = 5/3
Cross multiply and make θ the subject of formula
5θ = 3 × 360
θ = 1080/5
θ = 216 degrees
Therefore, the central angle of a sector of a circle is 216 degrees
The mean would be the center value. One line away on either side would be 1 standard Deviation, 2 lines away is 2 deviations and 3 lines away is 3 deviations.
You are told 1 deviation is 36.18
So 2 deviations would be 2 x 36.18 = 72.36 and 3 would be 3 x 36.18 = 108.54
To the left of the middle line subtract from mean
To the right of the middle line add To mean
Number in order from left to right:
595.85, 632.03, 668.21, 704.39, 740.57, 776.75, 812.93
L= length
w= width= L-3
A= area= 238 ft^2
LENGTH
Area Formula
A= LW
substitute w value
238= (L)(L- 3)
multiply L by parentheses
238= L^2 - 3L
subtract 238 from both sides
0= L^2 - 3L - 238
factor
0= (L + 14)(L - 17)
set each parentheses equal to 0
0= L + 14
-14= L
OR
0= L - 17
17 ft= L
*Since the measure of a rectangle would not be negative, L= 17 ft
WIDTH
w= L - 3
w= 17 - 3
w= 14 ft
ANSWER: Length= 17 ft; Width= 14 ft
Hope this helps! :)
Answer:
Option A 64/27 cm³
Step-by-step explanation:
Side of each cube=1/3 cm
Volume of a cube=side³=(1/3)³=1/27 cm³
Total no. of cubes in the prism=4*4*4=64 cubes
Volume of prism=Volume of 1 cube*Total no. of cubes
=(1/27)*64
=64/27 cm³