Answer:
10.99 feet
Step-by-step explanation:
The arc length when an angle of 360° is made is the perimeter of the circle.
Perimeter = π*Diameter = π*30 = 94.25 ft
To know the arc length when an angle of 42° is made, we need to use the following proportion
94.25 ft / x ft = 360° / 42°
x = 42/360*94.25
x = 10.99 ft
Answer:
187.5 gallons
Step-by-step explanation:
Make a proportion
= 
3000/16 = 187.5, so multiply 1 by 187.5 to find the gallons used in a year
This gets you 187.5 gallons used in a year
A.) .4 of a balloon is left
To Check:
what I did was divide 172 by 27 and it is 6.37 rounded to ........6 is an equal number so I kept it and .4 will be left over after sharing equally.
B.) 17 more balloons are needs
To Check:
what I was multiply 27 by 7 because each student needs seven balloons and I got 189 after that I subtracted 172 from 189 (189-172=17)
to see how many more balloons are needed.
the number of cards in my friends stack is 20 total cards
Answer:
31
Step-by-step explanation:
Let the numbers be x and y.
"The sum of two numbers is 43." gives us the first equation.
x + y = 43
"One number is five less than three times the other number." gives us the second equation.
y = 3x - 5
Now we solve the system of two equations below.
x + y = 43
y = 3x - 5
Since the second equation is already solved for y, we will use the substitution method. We substitute 3x - 5 for y in the first equation.
x + y = 43
x + 3x - 5 = 43
4x - 5 = 43
4x = 48
x = 12
The first number is 12. Now we find the second number.
x + y = 43
12 + y = 43
y = 31
The larger number is 31.
