The area of the actual playground is [tex]\( 15000 \)[/tex] square feet. To solve this problem, we need to understand the relationship between the scale drawing and the actual playground dimensions.
Let's denote:
- [tex]\( l \)[/tex] as the length of the scale drawing,
- [tex]\( w \)[/tex] as the width of the scale drawing,
- [tex]\( L \)[/tex] as the length of the actual playground, and
- [tex]\( W \)[/tex] as the width of the actual playground.
Given that the dimensions of the actual playground are 50 times the dimensions of the scale drawing, we have the following relationships:
[tex]\[ L = 50l \][/tex]
[tex]\[ W = 50w \][/tex]
We are given that the area of the scale drawing is 6 square feet. The area of a rectangle is given by the formula [tex]\( \text{Area} = \text{length} \times \text{width} \).[/tex] So, for the scale drawing:
[tex]\[ \text{Area of scale drawing} = l \times w = 6 \][/tex]
Now, we need to find the length and width of the actual playground and then calculate its area.
From the relationship between the actual playground and the scale drawing, we have:
[tex]\[ L = 50l \][/tex]
[tex]\[ W = 50w \][/tex]
So, we can express [tex]\( l \) and \( w \)[/tex] in terms of [tex]\( L \) and \( W \)[/tex]:
[tex]\[ l = \frac{L}{50} \][/tex]
[tex]\[ w = \frac{W}{50} \][/tex]
Now, let's substitute these expressions into the equation for the area of the scale drawing:
[tex]\[ \text{Area of scale drawing} = \left(\frac{L}{50}\right) \times \left(\frac{W}{50}\right) = 6 \][/tex]
[tex]\[ \frac{L \times W}{2500} = 6 \][/tex]
To find the area of the actual playground, we need to solve for [tex]\( L \times W \):[/tex]
[tex]\[ L \times W = 6 \times 2500 = 15000 \][/tex]
Therefore, the area of the actual playground is [tex]\( 15000 \)[/tex] square feet.
Jill earned $40 from a carpool plus $9 per hour babysitting this week. Which of th following expression beat represents jill’s Income for the week?
My grade is a 77%, if i get a 0% on a paper worth 30% of my grade, what will my grade be now??
If the measure of angle H is 64°, which angles in the diagram have a measure of 116°?
There should be more than 1 answer
A) Angle G
B) Angle F
C) Angle B
D) Angle A
E) Angle E
F) Angle C
G) Angle D
McCune Landscaping buys 100 shovels for $15 each. McCune sells all 100 shovels at $29.99. What is the profit?
What is the first quartile of the data set? {51, 42, 46, 53, 66, 70, 90, 70} A-48.5 B-59.5 C-61 D-80
Answer:
I'm positive the answer is 48.5
Given: KLMN is a trapezoid, KF =10 MF ║ LK AKLMF = AFMN Find: KN
Answer:
30
Step-by-step explanation:
the area of a circle can be tripled by multiplying the radius by what factor?
The mean of 3 consecutive terms in an arithmetic sequence is 10, and the mean of their squares is 394. What is the largest of the 3 terms?
Perform the operation 8 1/2 + 5 1/8
Which box-and-whisker plot best represents the data?
34, 36, 38, 40, 45, 45, 48, 50, 52, 60
The box-and-whisker plot which best represents the data is graph A
What is box plot?A box and whisker plot, often known as a box plot, shows a data set's five-number summary. The minimum, first quartile, median, third quartile, and maximum make up the five-number summary.
A box is drawn from the first quartile to the third quartile in a box plot. At the median, a vertical line passes through the box.
It is used when showing the distribution of data points across a selected measure and if the box in a box plot is stretched in one direction or the other, then the data is skewed in that direction.
Given data ,
Let the data of the box plot be represented as A
Now , the value of A is
A = 34, 36, 38, 40, 45, 45, 48, 50, 52, 60
So , the median of the data is given by
M = ( 45 + 45 ) / 2
M = 45
Now , the box plot which represents the median at 45 is graph A
Hence , the box plot is solved
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Arlen has a recipe for lasagna that serves 8 people and uses 2 teaspoons of garlic. How many teaspoons of garlic will be used to make a lasagna that serves 4 people?
A 1 teaspoon
B 2 teaspoon
C 3 teaspoon
D 4 teaspoon
Please help kinda lost thank you
what is
[tex] \frac{8}{2} \times 3[/tex]
There are 64 cookies in a jar. The probability of randomly choosing an oatmeal cookies from the jar in 37.5%. How many of the cookies are not oatmeal cookies
Please help......
1. Write an approximate equation of the line of best fit in slope-intercept form.
2. Use the equation from part B to predict the resting heart rate of a person who exercises 30 minutes per day. Show your work.
3. Explain how you found your answer to part C.
help subtraction problem
5.30 - 3.75
Which of the following is a characteristic of Euclidean geometry?
Answer:
c. the parallel postulate is true.
Step-by-step explanation:
What is the value of y?
The value of [tex]y[/tex] in the given figure, using the rule of angle sum property and linear pair will be [tex]65\\[/tex].
According to angle sum property, the sum of all the sides of a triangle will be [tex]180^o[/tex].
A linear pair is defined as two neighboring angles that sum up to 180° or two angles which result in a line or a straight angle when combined, or it can be said that the sum of linear pair is supplementary.
In the given figure,
∠[tex]x + 130^o = 180^o \ \ \ (linear pair)\\\x = 50^o[/tex]
Now, In triangle ABC, using angle sum property:
[tex]A+B+C= 180^o\\50^o + y + y = 180^o\\50^o + 2y = 180^o\\2y = 130^o\\y = 65^o\\[/tex]
Thus, the value of [tex]y\\[/tex] in the given triangle is [tex]65^o\\[/tex].
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The figure is added below.
the dimensionn of the box that a radio came in are 12in. 8in by 5in
The volume of the box is calculated by multiplying its length, width, and height together. The volume of the box that the radio came in is 480 cubic inches.
Explanation:The dimensions given for the box are its length (12in.), width (8in.), and height (5in.). In mathematics, you can use these three dimensions to calculate the volume of the rectangular box. The volume of a rectangular box is calculated by multiplying these three dimensions together. So, the volume of the box is 12in. * 8in. * 5in. = 480 cubic inches. Remember, when you multiply three dimensions together, the unit is cubic (inches cubed in this case), because you're dealing with a three-dimensional space.
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How would you find the number, 3/7 of which is equal to t? (let's say it was any number, just need the equation)
Michael saw a Sunday suit he wanted at the store. The cost of the suit was $96. A few days later he saw that the suit was marked 1/4 off. How much does the suit cost now?
Can someone see if I did this right I got 8937.5
When two six-sided dice are rolled, there are 36 possible outcomes.
a. Find the probability that the sum is not 4. Express your first answer as a fraction in simplest form, and round your percent answer to the nearest whole percent.
b. Find the probability that the sum is greater than 5. Express your first answer as a fraction in simplest form, and round your percent answer to the nearest whole percent.
The probability that the sum of two six-sided dice is not 4 is 11/12 or 92%. The probability that the sum is greater than 5 is 5/12 or 42%.
Explanation:The subject of this question is probability, which is a branch of mathematics. When two six-sided dice are rolled, there are indeed 36 possible outcomes.
There are three possible ways to get a sum of 4: (1,3), (2,2), and (3,1). So the probability that the sum is not 4 is 1 - (3/36) = 33/36. This simplifies down to 11/12, and as a percent it rounds to approximately 92%.
There are 15 different combinations that result in a sum that is greater than 5. So the probability is 15/36, which simplifies to 5/12. This roughly translates to 42% when expressed as a percentage.
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A circle has an area of 19 5/8 square units what is the radius of the circle
Value of m varies directly as value of n and n=5 when m=12. What is n when m=18?
Answer:
7.5
Step-by-step explanation:
Paige has a membership to a new website. It costs $5 a month and then each song costs $0.10 to purchase. Write and equation using S to represent the number of songs that she purchased if she spends $8.20 one month. How many songs did she buy?
One of the UK lottery systems consists of selecting six numbers from forty-nine for a one-pound stake. The winning numbers are drawn at random and the order is not important. Determine the probability that a randomly selected set of six numbers will win the lottery.
4.167 × 10-6
8.63 × 10-7
5.467 × 10-6
7.15 × 10-8
Will mark branliest
Answer:
The last answer is correct
Jasmine paid 25 for two binders and pack of pens the pack of pens costs 5 what is an equation you can use to find the price of each binder!
! 10 POINTS !
please help me
Pint-Sized Portraits has 4 different backgrounds and 5 poses in which to photograph children. How many different pictures are there to choose from?
9
20
120
dividing whole numbers 22 divided by 300
Answer:
22 divided by 300 will be equal to 0.07333.
Step-by-step explanation:
Dividing 22 by 300
[tex]\frac{22}{300}=\frac{2\times 11}{2\times 2\times 5\times 5\times 3}[/tex]
[tex]\frac{22}{300}=\frac{11}{2\times 5\times 5\times 3}=\frac{11}{150}[/tex]
[tex]\frac{11}{150}=\frac{11}{15}\times \frac{1}{10}[/tex]
The value of [tex]\frac{11}{15}=0.7333[/tex]
[tex]\frac{22}{300}=\frac{11}{150}=0.7333\times \frac{1}{10}=0.07333[/tex]
So, the value of 22 divided by 300 will be equal to 0.07333.
Dividing 22 by 300 gives a quotient of 0.0733, representing the proportion of 22 out of 300.
Explanation:To perform the division of the whole numbers 22 and 300, you simply divide 22 by 300 using long division or a calculator. However, since 300 is larger than 22, the result will be a decimal or fraction that is less than 1. Mathematically represented as:
22 ÷ 300 = 0.0733
In a real-world scenario, this number could be interpreted as the proportion or percentage of a whole that the number 22 represents out of 300.
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