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Sophie [7]
3 years ago
12

A landscaper builds a regular hexagonal patio in a circular garden. The area not covered by the patio will be covered in grass.

The radius of the garden is 1.5 m. Find the area covered by grass in the garden.
Mathematics
1 answer:
Taya2010 [7]3 years ago
7 0

The area that's covered by the grass will be 7.065m²

The area of a circle is found by using the formula: = πr²

where, r = radius = 1.5m

π = 3.14

Therefore, to solve the question, we'll slot the value of the radius into the formula and this will be:

Area = πr².

Area = 3.14 × 1.5²

Area = 3.14 × 1.5 × 1.5

Area = 7.065m²

In conclusion, the area is 7.065m²

Read related link on:

brainly.com/question/24705421

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In a forested area, the number of trees, T can be expressed as a function of the initial number of trees planted. If the initial
Wewaii [24]
N = N    (1+0.20)^5    
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Here, that'd be 10000(1.20)^5, or 24883 trees.
7 0
3 years ago
Marge drive 290 miles in five hours. Three hours were on the interstate, then the remainder of the trip was on a road that cause
vivado [14]

Marge drove by 66 miles per hour on the interstate

Step-by-step explanation:

Marge drive 290 miles in five hours, her trip has two stages

  1. She drove 3 hours on the interstate
  2. The remainder of the trip was on a road that caused her to reduce her speed by 20 mph

We need to find how fast Marge drove on the interstate

Assume that she drove by speed x miles per hour on interstate

∵ Distance = speed × time

∵ Her speed on the interstate is x mph

∵ The time of interstate is 3 hours

∴ The distance of interstate = x × 3 = 3x miles

∵ The time of the total trip is 5 hours

∵ She spent 3 hours on the interstate

∴ The time of the remainder of the trip = 5 - 3 = 2 hours

∵ She reduced her speed 20 mph for the remainder of the trip

∴ Her speed on the remainder of the trip = x - 20 mph

∴ The remainder distance = (x - 20) × 2

∴ The remainder distance = 2x - 40 miles

∵ The total distance of the trip is 290 miles

- Equate the sum of the two distances above by 290

∴ 3x + 2x - 40 = 290

- Add the like terms in the left hand side

∴ 5x - 40 = 290

- Add 40 to both sides

∴ 5x = 330

- Divide both sides by 5

∴ x = 66

Marge drove by 66 miles per hour on the interstate

Learn more:

You can learn more about speed, time and distance in brainly.com/question/9998060

#LearnwithBrainly

7 0
3 years ago
During the past year, Piazza's Clothiers sold a certain sweater at different prices: $42.95, $36.50, $40.75, $38.25, and $43.25.
SCORPION-xisa [38]
Range:$43.25-$36.50=$6.75 Mean:$42.95+$36.50+$40.75+$38.25+$43.25=$201.7 Median:$40.75 Mode:none The range is $6.75. The mean is $201.70. The median is $40.75. There is no mode.
3 0
3 years ago
There are 482 studemts in the school and there are two Grade 4 classes: Ms.Ashley's and Mr.Ben's classes. Mrs. Aheley's class ha
Paraphin [41]

Answer:

<u>1.  45/482 of the students are in grade 4.</u>

<u>2.  5/9 of the students of the grade 4 are boys.</u>

<u>3. 7/15 of the grade 4 students are in Ms. Ashley's class</u>

<u>4. 3/4 of the students in Mr. Ben's class do not have siblings in the same school.</u>

<u>5. There are 14 students with glasses and 7 without glasses.</u>

Step-by-step explanation:

1. Let's review the information given to us for solving the questions:

Number of students in the school = 482

Ms. Ashley's Grade 4 class = 21 students

Ms. Ashley's Grade 4 class boys = 15 students

Ms. Ashley's Grade 4 class girls = 6 students

Ms. Ashley's Grade 4 class with glasses = 2/3 * 21 = 42/3 = 14 students

Mr. Ben's Grade 4 class = 24 students

Mr. Ben's Grade 4 class boys = 10 students

Mr. Ben's Grade 4 class girls = 14 students

Mr. Ben's Grade 4 class with siblings in the school = 1/4 * 24 = 24/4 = 6 students

2. Let's answer all the questions:

1. What fraction of the students in the school are in grade 4?

(Ms. Ashley's Grade 4 class + Mr. Ben's Grade 4 class)/ Number of students in the school

21 + 24 / 482 =<u> 45/482</u>

2. What fraction of the grade 4 students are boys?

(Ms. Ashley's Grade 4 boys + Mr. Ben's Grade 4 boys)/ (Ms. Ashley's Grade 4 class + Mr. Ben's Grade 4 class)

15 + 10 / 21 + 24

25 / 45 = <u>5/9</u>

3. What fraction of the grade 4 students are in Ms. Ashley's class?

Ms. Ashley's Grade 4 class / (Ms. Ashley's Grade 4 class + Mr. Ben's Grade 4 class)

21 / 21 + 24

21 / 45 = <u>7/15</u>

<u>4. What fraction of the students in Mr. Ben's class that do not have siblings in the same school?</u>

(Mr. Ben's Grade 4 class - Mr. Ben's Grade 4 class with siblings in the school)/ Mr. Ben's Grade 4 class

24 - 6 / 24

18 / 24 = <u>3/4</u>

<u>5. In Ms. Ashley's class, are there more students that wear glasses or do not wear glasses?</u>

<u>There are 14 students with glasses and 7 without glasses.</u>

4 0
3 years ago
Hi can someone answer this question please thank you
Zielflug [23.3K]

Answer:

25

Step-by-step explanation:

5:20  

We want to get the second number to 100

100/20 = 5

Multiply each term by 5

5*5 : 20*5

25 : 100

x is 25

5 0
3 years ago
Read 2 more answers
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