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andre [41]
3 years ago
10

A caircular fountian has a circumference of 21 feet. Which expression can be used to find the diameter of the fountian in feet?​

Mathematics
1 answer:
KiRa [710]3 years ago
5 0

Answer: 21 = 2\pi r

Step-by-step explanation:

To find the circumference of a circle, you can use 2\pi r. You can set this equal to 21 (feet). The equation to solve at this point would be 21=2\pi r.

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The function f(x)=70n -400 models the profit of the instructor of a guitar class per month, where n is the number of students en
Ymorist [56]

Answer:

At least 6 students must be enrolled in the class for the instructor to make a profit.

At least 20 students must be enrolled in the class for the instructor to make $1,000 (or more) profit per month.

Step-by-step explanation:

The function f(x)=70n -400 models the profit of the instructor of a guitar class per month.

1. If the instructor makes a profit, then

f(x)>0\\ \\70n-400>0\\ \\7n-40>0\\ \\7n>40\\ \\n>\dfrac{40}{7}\\ \\n>5\dfrac{5}{7}

So, at least 6 students must be enrolled in the class for the instructor to make a profit.

2.  If the instructor needs to make 1,000.00 profit per month, then

f(x)\ge 1,000\\ \\70n-400\ge 1,000\\ \\7n-40\ge 100\\ \\7n\ge 140\\ \\n\ge \dfrac{140}{7}\\ \\n\ge 20

So, at least 20 students must be enrolled in the class for the instructor to make $1,000 (or more) profit per month.

5 0
4 years ago
Marvin is painting three squares shaped like the one below if it takes him exactly 4 cans of paint to paint square 3 five cans o
noname [10]

Complete question:

Marvin is painting three squares shaped like the one below if it takes him exactly 4 cans of paint to paint square 3, five cans of paint to paint square 2 to how many cans of paint should he need to paint square one

Picture of squares is attached.

Answer:

9 cans of paint.

To paint square 1, he needs 9 cans of paint.

Step-by-step explanation:

Given that to paint square 3, four cans of paint are needed.

Therefore, let's take area of the square 3 as 4.

i.e a² = 4

Solving further, we have :

a = \sqrt{4}

a = 2

We can say, each side of square 3 = 2 units

To paint square 2, five cans of paint are needed. Let's take the area of 2 to be 5.

i.e b² = 5

Solving further, we have :

b = \sqrt{5}

We can say, each side of square 2 = \sqrt{5} units

Using Pythagoras theorem, we have that the area of the square of a hypotenuse in a 90° angle is equal to the sum of the areas of the other two squares.

Therefore,

h^2 = 2^2 + \sqrt{5}^2

h² = 4 + 5

h = \sqrt{9}

h = 3 units.

We now know one side of the square 1 is 3 units.

Area of square 1 = 3²

Area = 9.

Therefore to paint square 1, he needs 9 cans of paint.

8 0
3 years ago
Students in Mr. Hill’s class were asked how many TV shows they watched last weekend. The results are shown on the line plot.
MAXImum [283]

Answer:

D

Step-by-step explanation:

Plz mark brainliest

8 0
3 years ago
What is reason #4?? <br> I’ll give best answer brainliest!
Svetradugi [14.3K]
Ok okookokkokk so u wouod do grab the 4 take the 24 add the 78 and their
6 0
4 years ago
In the last election, 60% of the class members voted. If the class has 120 members, how many members voted in the last election?
horrorfan [7]
That is a pretty apathetic class. now if you want to to this one, it is mental math. 60% is = to 50% +10% 
50% of 120 is 60 and 10% of 12 
60+12 is 72
the answer is 72 or A 
hope this helps 
6 0
4 years ago
Read 2 more answers
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