11 . a cube whose edge is 3.5 inches
Pls use V=Bh for both thanks anyone who answers
Answer:
81 π
Step-by-step explanation:
The total central angle for a circle is 360 degrees.
In the question the sector with angle 120 degrees has area 27π.
So the circle can be considered as a combination of 3 sectors having angle 120 degrees each. Refer to the figure below.
Thus area of the circle will be three times of the area of the sector.
Area = 3 × 27π = 81π
Answer:
Step-by-step explanation:
81pi
Answer:
47.13
Step-by-step explanation:
c=2πr
c=2×3.142×7.5cm
c=6.284×7.5cm
c=47.13cm
Answer:
47.13cm
Step-by-step explanation:
2×3.142×7.5cm
During year 1, Franklin's sign read "Franklin: Population of 20,000", while Chester's sign read
"Chester: Population of 25,000". Each year, the populations grew. Specifically, Franklin's population grew by
5% each year, and Chester's population grew by 500 people each year.
What is the first year in which Franklin's sign shows a larger number than Chester's sign?
Answer:
Franklin's population < Chester's population by 4500
Step-by-step explanation:
Franklin: 20000 (1 + 0.05) = 21000 (21000 - 20000 = 1000 grew)
Chester: 25000 + 500 = 25500 (500 increase)
To find the first year in which Franklin's sign shows a larger number than Chester's sign, we set up an equation and solve for the year. The first year is year 6.
To find the first year in which Franklin's sign shows a larger number than Chester's sign, we need to set up an equation and solve for the year. Let's denote the year as 'y'.
Franklin's population can be represented as: 20000 + (20000 * 0.05 * y).
Chester's population can be represented as: 25000 + (500 * y).
Setting up the equation, we have: 20000 + (20000 * 0.05 * y) > 25000 + (500 * y).
Simplifying the equation, we get: 1000 * y > 5000.
Dividing both sides of the equation by 1000, we find that y > 5.
Therefore, the first year in which Franklin's sign shows a larger number than Chester's sign is year 6.
#SPJ2
a. Write a system of equations for the situation. Use s for the amount Sam earned and g for the
amount George earned.
b. Graph the equations in the system. Be sure to label all axes and show your scale.
c. Use your graph to determine how much each person earned.
Answer:
Step-by-step explanation:
g = s + 75
g + s = 525
That's just the answer for (a). You'll have to graph it yourself.
Guide to the methodology:
You need to plot 2 points for each equation and draw a line between the points. Where the two lines intersect gives you the values that solve the equations.
To get your co-ords,
Let g = 0
s = -75
Create a graph with g as one axis and s as the other. Plot a point of (0,-75)
Let s = 0
g = 75
Plot another point (0,75)
Draw a line between the two points. This is your line for g = s +75
You then need to plot a line for the second equation.
Let g = 0. S = 525. First co-ordinate is (0,525)
Let s = 0. G = 525. Second co-ordinate is (525,0)