Answer:
13.04 cm^2
Step-by-step explanation:
Larger Circle diameter is 12.5 cm and the smaller is 3.5 cm
The Area of a circle is A = πr^2 = πd^2/4
Larger Circle divide the diameter by 2 = 6.25 cm
Smaller Circle dive the diameter by 2 = 1.75 cm
Using above formula A = 122.71846303085 cm^2 &
Finally we deduct the smaller Area from the larger Area
A = 9.6211275016187 cm^2 - 9.6211275016187 cm^2
122.71846303085 cm^2 - 9.6211275016187 cm^2 =
113.0973355292 cm^2 thus 13.04 is your answer since I used the
π = 3.1415926535898
A = area
π = pi = 3.1415926535898
Step-by-step explanation:
5(-2x - 3)
-10x -15
-(10x +15)
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
Divide 29 by 5 which equals 5 r4. So, the answer is 5 wholes and 4/5
1/3 belongs to the rational set and to the real set.
<h3>
To which sets does the number below belong?</h3>
Here we have the number 1/3.
First, remember that we define rational numbers as these numbers that can be written as a quotient between two integers.
Here 1 is an integer and 3 is an integer, then 1/3 is a rational number.
Also, the combination between the rational set and the irrational set is the set of the real numbers, then 1/3 is also a real number.
Then, concluding:
1/3 belongs to the rational set and to the real set.
If you want to learn more about rational numbers:
brainly.com/question/12088221
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