Answer:
a. 44 cm b. 126 cm
Step-by-step explanation:
a. it is semi circle
perimeter is πd
22/7*14
44 cm
b. it is equilateral triangle
so perimeter is side* 3
42 *3 = 126cm
We have a problem of a sysmtem of equation
x is the number tickets sold of general admission
y is the number o tickets sold for seniors
The first equation is about the number of ticktes sold
x+y=155
the second equation is about the amount of money
12x+9y=1680
we isolate x of the first equation
x=155-y
we substitute the equatio above in the second equation
12(155-y)+9y=1680
1860-12y+9y=1680
we isolate the y
-3y=1680-1860
-3y=-180
y=-180/-3
y=60
then we substitute the value of y in order to find x
x=155-y
x=155-60
x=95
They sold 95 tickets of general admission
2) 1/16
3) 25/3 or 8 and 1/3
4) to find the reciprocal of 4 we must make 4 a fraction. Simply add a one as the denominator and then switch as you would usually do when finding the reciprocal.
4 = 4/1 = 1/4
Answer : 1/4
5) first, let's convert 4 5/8 into a improper fraction.
4 5/8 = 37/8
Now let's find the reciprocal of that number...
Answer : 8/37
6) 5/8 ÷ 2/3 does equal 15/16
To check, well do the inverse operation.
The opposite of division is multiplication.
Answer : d
7) 6
8) 13
The answer is 5.23 ft/second
The way I got this answer was first finding the circumference of the merry-go-round using the equation

, where r represents the radius, which is the distance from the center of a circle.
So your equation should look like this

. I used the rounded term of 3.14 for

Once you multiply those terms, you should get the answer, 31.4. Now this is the total distance around the merry-go-round in feet. So, if it takes 6 seconds to make a full rotation and we are trying to find the amount offeet traveled in one second, we should divide the circumference (31.4) by 6 to give us our answer.
So, 31.4÷6=5.2333...ft/second
And I rounded the answer to the nearest hundredth to get 5.23 feet/second
Using order of operations PEMDAS you first multiply 5 * 2 to get 10 then divide 10 by 70 to get rougly 0.14 and then subtract it by 8 to get -7.86 roughly. <span />