Answer:
<h2>12.56 m</h2>
Step-by-step explanation:
The formula of a circumference of a circle:
<em>d</em> - <em>diameter</em>
<em />
We have <em>d = 4m</em>.
Substitute:
Use 3.14 for π:
X= (-7,12)
Y= (7,-9)
The distance between the x points is 14 units
we want a ratio of 3 to 4
for every 3 on one side there are 4 on the other for 7 total
6 to 8 = 14
so 6 on one side 8 on the other
so 6 units on the left starting at -7
-7 + 6 = -1
same with y
12 to -9 is 21 units
3 to 4 = 7
6 to 8 =14
9 to 12 = 21
so 9 unit from the top
12-9 = 3
(-1,3)
Choice A
Part 1: getting the area of the entrance
The entrance has a trapezoid shape.
Area of trapezoid can be calculated using the following rule:
Area of trapezoid = average base * height
The aveage base = (b1+b2)/2 = (8+16)/2 = 12 ft
height of trapezoid = 4 ft
Therefore:
area of entrance = 12*4 = 48 ft^2
Part 2: getting the area of the house:
area of house = area of back porch + area of side deck + area of play room + area of entrance
i- getting the area of the back porch:
The back porch is a square with side length = 6 ft
Therefore:
area of back porch = 6*6 = 36 ft^2
ii- getting the area of side deck:
The side deck is a rectangle whose length is 14 ft and width is 3 ft
Therefore:
area of side deck = 14*3 = 42 ft^2
iii- getting the area of play room:
The play room is a rectangle whose length is 14 ft and width is 16 ft
Therefore:
area of play room = 14*16 = 224 ft^2
iv- area of entrance is calculated in part 1 = 48 ft^2
Based on the above:
area of house = 36 + 42 + 224 + 48 = 350 ft^2
hope this helps :)
Answer:
C. 905 in³
Step-by-step explanation:
This problem bothers on the mensuration of solid shapes, sphere
We know that the volume of a sphere is expresses as
V= 4/3πr³
Given that the diameter of the sphere is 12inches
Radius r= 12/2= 6 inches
Substituting our radius we can solve for the volume
V=4/3(3.142*6³)
V= (4*3.142*216)/3
V= 2714.68/3
V= 904.9in³
Approximately V= 905in³
