Answer:
97.6 cm³
Step-by-step explanation:
Volume of plastic object :
Volume of cylinder - volume of cone
From. The diagram. :
Radius, r = diameter /2 = 4/2
Volume of cylinder = pi*r²h
V = 22/7 * 2² * 8 = 100.53096 cm³
Volume of cone = 1/3*pi*r²h
V = 1/3 * 22/7 * 2² * 8
V = 2.9321531 cm³
(100.53096 - 2.9321531) cm³
= 97.598 cm³
= 97.6 cm³
Answer:
The area of the regular nonagon is 7921.8 square inches.
Step-by-step explanation:
Geometrically speaking, the area of a regular polygon is determined by following area formula:
(1)
Where:
- Area of the regular polygon, in square inches.
- Perimeter, in inches.
- Apothem, in inches.
If we know that 
and 
, then the area of the regular nonagon is:
The area of the regular nonagon is 7921.8 square inches.
I will give you everything I can do:
11)
Lets say Car A travels at x mph. That means Car B travels at x+2 mph.
Both of them are traveling towards each others, so we can say the total speed is 2x+2.
Now i takes 3 hrs and we know the distance.
Since R*T=D
Then 3(2x+2)=270
So 2x+2=90
2x=88
x=44
12)
To find perpendicular we want to find the opposite reciprocal of the original slope. Therefore the slope is 3/2.
Now we must find the equation of the line with the given variable.
First find b.
5=3/2*4+b
b = -1
So the equation of this line is:
y=3/2x-1
13) All work will be shown below.
6-3(-2-4x)=2(3(x-4)+7)
6+6+12x=2(3x-12+7)
12+12x=2(3x-5)
12+12x=6x-10
6x=-2
x = -1/3
14)
First we must find the amount each train traveled.
The speed of F train(Freight train)=x
The speed of P train(passenger train)=x+6
Their combined speed is 2x+6
It takes 2 hrs to cover 100 miles
So 2(2x+6)=100
2x+6=50
2x=44
x=22
So the freight train covered 44 miles and the passenger train covered 56 miles.
To find average speed you must do Total Distance/Total Time.
44/2 and 56/2
Which are 22 and 28.
The average speed of F train is 22 mph and average speed of P train is 28 mph.
15) Again opposite reciprocal.
3/5 -> -5/3
Work:
-4=-3*-5/3+b
-4=5+b
b=-9
y = -5/3x-9
16)
F=kx-kx0
First kx0 = 0
So F=kx
So x=F/k
1. Equations are:
3x + 2 = 5x + 8 and 7x + 2 = 7x - 4
2. The equation is:
2(32x - 2) = 2x + 36
64x - 4 = 2x + 36
3. You have to choose a classmate's question and answer.
4. You have to look at responses and comments.
Answer:
D) -4, 0
Step-by-step explanation:
find common difference.
the common difference appears to be +4 as you must add 4 to -12 to get to -8
now we find the missing terms.
the previous term of the first missing term is -8
if the common difference is +4 then the next term would be -8 + 4 = -4
the term after that would be -4 + 4 = 0
the two missing terms are -4 and 0
