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irina [24]
3 years ago
6

Find the total area of a round section of land that has a 2.5 foot wide enclosure of pebbles surrounding a round garden of flowe

rs.
Mathematics
1 answer:
Elena-2011 [213]3 years ago
5 0

Answer:

Step-by-step explanation:

Since the land is a round enclosure, and it has 2.5 foot wide enclosure of pebbles surrounding, then the circumference of the garden is 2.5ft.

First we need to get the diameter of the garden using the formula;

Circumference= πd

2.5 = πd

d = 2.5/π

d = 2.5/3.142

d =0.796 feet

The total area of a round section of the land = πd²/4

The total area of a round section of the land = π(0/796)²/4

The total area of a round section of the land  = 1.9892/4

<em>The total area of a round section of the land  = 0.4973 ft²</em>

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There are 14 girls and 2 boys taking karate lessons. Write the ratio that compares the number of girls taking karate lessons to
Delvig [45]

Answer:

The correct answer is 7 : 8.

Step-by-step explanation:

There are 14 girls and 2 boys taking karate lessons.

Total number of students taking the karate class is 16.

The ratio that compares the number of girls taking karate lessons to the total number of students taking karate lessons is given by 14 : 16 = 7 : 8.

This can be interpreted as for every 8 students in the karate lesson, 7 of them are girls.

8 0
3 years ago
PLEASE HELP!!!! What is the volume of the cone
kupik [55]
B because if you multiplie it it's the answer b
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2 years ago
John paid $222 for four hours of skiing and two hours boating. He paid $213 for two hours skiing and three hours boating. What i
Inga [223]

Answer:

Skiing costs $30 per hour and Boating costs $51 per hour.

Step-by-step explanation:

Let cost per hour of skiing be x and cost per hour of boating be y. Let's dissect the problem into 2 simultaneous equations.

<em><u>"John paid $222 for four hours of skiing and two hours boating":</u></em>

4x+2y=222

<em><u>"He paid $213 for two hours skiing and three hours boating":</u></em>

2x+3y=213

<em>Now, if we solve for x in the 2nd equation and plug it in the 1st equation, we will have the value for y</em>. Work shown below.

2x+3y=213\\2x=213-3y\\x=\frac{213-3y}{2}\\Equation 1: 4x+2y=222\\Substituting :\\4(\frac{213-3y}{2})+2y=222\\2(213-3y)+2y=222\\426-6y+2y=222\\426-222=6y-2y\\204=4y\\y=\frac{204}{4}=51

Hence, y = 51

<em>Now, substituting this y value into the 1st equation and solving for x will give us the value of x.</em>

First Equation: 4x+2y=222\\4x+2(51)=222\\4x+102=222\\4x=222-102\\4x=120\\x=\frac{120}{4}=30

Hence, skiing costs $30 per hour and boating costs $51 per hour.

4 0
3 years ago
Describe the error in the subtraction shown below ​
Gemiola [76]

Answer:

-11x+12

Step-by-step explanation:

(x^2-4x+3)-(x^2+7x-9)

x^2-x^2-4x-7x+3-(-9)

-11x+3+9

-11x+12

8 0
2 years ago
Read 2 more answers
A 72,000 gallon water tower is being drained. Two thousand gallons are drained in the first hour. How many hours will it take to
ololo11 [35]

Answer:

To drain the water tower it will take 36 hours.

Step-by-step explanation:

Given:

A 72,000 water tower is being drained, and in an hour 2000 gallons are drained.

Now, to calculate the hours it would take to drain total 72,000 gallons of water, we should divide the gallons of water drained in one hour by total gallons of water in the tower.

Gallons of total water in the tower ÷ Gallons of water drained per hour

72000\div 2000

=\ 36

Therefore, to drain the water tower it will take 36 hours.

6 0
3 years ago
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