A field is shaped like the diagram below.
It is a rectangle with semicircles at two ends. There is a running track around the perimeter of the field.
(a)
100 m
64 m
What is the circumference of the track?
Answers
Step-by-step explanation:
must be at least 100m, and the rectangle width, also known as twice the circle radius, must be less than or equal to 60m. That would make for a relatively normal-shaped track
The perimeter of the track is 464 m
What is a perimeter?The length around an object is called its perimeter.
Given that, a rectangle with semicircles at two ends. there is a running track around the perimeter of the field.
The dimension of the rectangle are 100 m and 64 m
The distance between the outer an dthe inner track is 10 m,
The diameter of the outer semicircles is 64+10+10 = 84 m
Therefore, is radius = 42 m
The perimeter of the outer semicircle = 2×π×radius
= 2×3.14×42
= 264 m
The length of the two straight lines = 100 + 100 = 200 m
Therefore, total perimeter of the whole track = 200+264 =464 m
Hence, the perimeter of the track is 464 m
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The figure for this question is:
Related Questions
A straight line p through A(-2,1) and B(2,k) the line is perpendicular to a line 3y + 2x =5. Determine the value of k
Answers
Answer:
k = 7
Step-by-step explanation:
To solve this, first, you need to find the slope of the line. To do this, you can convert it into point-slope form.
3y = -2x + 5
y = - 2/3x + 5/3
The slope is -2/3, so the perpendicular slope in 3/2
You find the difference between the x - values (2 - -2 = 4), then multiply that by the slope (4 x 3/2 = 6) finally, you add that to the y value of point one.
1 + 6 = 7
find the ratio of 6:789 now!
Answers
Answer:
2:263
Step-by-step explanation:
6:789
Let's try simplying it completely, by that I means, divide both of the values by 6.
6:789
1:131.5
We need it to be a whole number, so it's not working. We can't divide by 2, because dividing 789 by 2 is not gonna give us a whole number. (an odd number)
Let's divide by 3
6:789
2:263
what is the common denmoniator of 3/4 2/3
Answers
Answer:
9/8
Step-by-step explanation:
3/4 2/3
LCM=12
9/8
Am not sure
Abby is buying flower bulbs for her garden. She wants to buy the same number of tulips and daffodils. If tulip bulbs come in packs of 8 and daffodil bulbs come in packs of 4, what is the least number of each type of bulb Abby will need to buy?
Answers
16
lcm : 4= 4, 8, 12 , 16
8= 8 , 16
can someone explain this to me thank u :)
Answers
Answer:
1/4
Step-by-step explanation:
It is really weird that this answer is not on there but here is my explanation.
We can consider this question in two different ways.
First, we could list the possible outcomes.
HHH
HHT
HTH
HTT
THH
THT
TTH
TTT
In total 8 possibilities, 2 of which are either all heads or all tails. So the probability is 2/8 which is 1/4.
Alternatively, we could look at each of the three independent events in turn.
We toss the first coin. We don’t mind whether it lands head or tail, but we need to note the result. The probability of getting any result is 1.
We toss the second coin and there is a probability of 1/2 that the result matches the first toss.
We now toss the third coin and again there is a probability of 1/2 that the result matches the first toss.
So the probability of getting all heads or all tails is the probability of getting any result from the first toss (1) multiplied by the probability of a matching result for the second toss (1/2) multiplied by the probability of a matching result for the third toss (1/2).
So that’s 1 * (1/2) * (1/2), which is 1/4.
5. A ball is thrown into the air. It went 14 inches into the air is represented by the equation
h = -14t2 + 28t, where h represent the height and t represents the time. Determine when
the ball is thrown and how long it takes to hit the ground?
Answers
By defining that h(t) = 0 means that the ball is in the ground, we conclude that the ball is thrown at t = 0, and hits the ground again at t = 2.
When the ball is thrown?The height equation is:
h(t) = -14*t^2 + 28*t
When t = 0, we have: h(0) = 0
So it is in the ground, meaning that it is thrown at the time t = 0.
How long does it take to hit the ground?We need to find the other root of the quadratic equation, so we need to solve:
-14*t^2 + 28*t = 0
We can rewrite this as:
t*(-14*t + 28) = 0
The parenthesis is zero when:
-14*t + 28 = 0
t = 28/14 = 2
So at t = 2, the ball hits the ground.
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Kathy was building a bed for her dollhouse. She used her bed, which is 3 feet × 5 feet, as a guide. She scaled down the dimensions of her bed by a factor 1 over 5 . What are the dimensions of the model bed she built? (1 point) 0.06 ft × 0.1 ft 0.3 ft × 0.5 ft 0.03 ft × 0.05 ft 0.6 ft × 01 ft
Answers
Answer:
0.6 x 0.1
Step-by-step explanation:
The rectangle graphed has a length of 5 and a width of 4. How does the perimeter change when the width is decreased by half?
A) The perimeter is decreased by 2.
B) The perimeter is decreased by 4.
The perimeter is decreased by 5.
C) The perimeter is decreased by 6.
D) The perimeter is decreased by half
sam
Answers
Answer:
B
Step-by-step explanation:
The perimeter is decreased by 4 because 2(5+2) = 14 when 2(5+4) = 18
3
What is 6
5
rounded to the nearest whole number
Answers
Answer:
Rounded to the nearest whole number is 1
Step-by-step explanation:
when you divide 6 by 5 you get 1.2. Since 2 is not five or greater you round down.
The values in the table below represent function B, which is linear function (-3,-7) (-1,-1) (1,5) (3,11)
Answers
Answer:
I don't see the picture of the problem
Sort the fractions in order of size with the largest fraction at the top.
10/12 kg
2/3 kg
21/4 kg
13/4 kg
Answers
Answer:
21/4 is the biggest number hope it helps, God bless ya'll!
Step-by-step explanation:
 Order these numbers least to greatest
Answers
Answer:
1. -83/7
2. -11.6666666
3. - square root of 133
4. 11 5/10
The formula P = I-E is used to calculate profit.
P = Profit
I= Income
E = Expenses
The school bake sale earned $72 in sales and had
$125 in expenses.
Find the profit.
b. What does a negative profit mean?
Answers
Hey there!
P = I - E
Income = $72Expenses= $125P = I - E {Add values}
P = 72 - 125
= -53
Negative profit means loss, which means there was no gain
Hopes this helps
Which number of degrees is the measure of the angle? explain how you know.
Answers
Can you please show me what angle?
Find the area of the rectangle.
Answers
Answer: 5.6ft²
Step-by-step explanation:
Area of a rectangle = length x width
= [tex]\frac{4}{5} ft[/tex] (7ft)
= [tex]\frac{28}{5}ft^{2}[/tex]
= 5.6ft²
How many solutions does the system of equations below have?
y = 8x - 7
y = 8x + 4/5
no solution
one solution
infinitely many solutions
Answers
Answer: No Solution
Step-by-step explanation:
To solve this system of equations, set the two equations equal to each other and get: 8x - 7 = 8x + 4/5.
However, notice that if you consolidate the x terms and subtract 8x, you get 0 - 7 = 4/5.
7 can never equal 4/5, so there is no solution :)
Use the empirical rule to find a reasonable estimate for P(z ≤ 0. 82). 10% 30% 50% 80%.
Answers
P(z ≤ 0. 82) or p-value corresponding to z ≤ 0. 82 comes to be approximately 80%.
What is a z-score?Z-score indicates how much a given value differs from the standard deviation.
[tex]z=\frac{x-\mu}{\sigma}[/tex]
Where [tex]\mu[/tex] = mean
[tex]\sigma[/tex]=standard deviation
P(z ≤ 0. 82) means the p-value corresponding to z≤ 0. 82.
From the standard normal table
P(z ≤ 0. 82) ≈80%.
Hence, P(z ≤ 0. 82) or p-value corresponding to z ≤ 0. 82 comes to be approximately 80%.
To get more about the z-score visit:
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Jesse is helping her grandmother plant a garden in the shape of a trapzoid
Base one is 12.5
base two 0.5 times length of base one
the height is 10 feet
Answers
You and your friend buy a bag of assorted fruit that contains 3 apples, 5 oranges, and 2 bananas. You each randomly choose a piece of fruit and eat it. What is the probability you both will get a banana?
Answers
How do u find an area of a cuboid?
Answers
Answer:
To find the surface area of a cuboid, add the areas of all 6 faces.
Suppose a ferris wheel is moving at a constant rate of 8 inches per second. if the diameter of the wheel is 60 feet, how long will it take the ferris wheel to make a complete revolution ?
Answers
Answer: If you want you can put 480 seconds or 8 minutes.
480 seconds = 8 minutes
Step-by-step explanation:
8 inches multiply by 60 feet
Solve for x.
-2(x + 74) = -158.00
Answers
Answer:
Hi I'm always here to help!!!
___________________________
x = 5
___________________________
Have a great day!!!!!!!
Evaluate the quotient of 1.05 x 103and 1 x 103:
1.05 x 10 -6
1.05 x 10 9
1.05 x 10 6
1.05 x 10 0
Answers
Answer:
1.05 x 10^0.
Step-by-step explanation:
1.05 x 10^3 / 1 x 10^3
= 1.05/1 x 10^(3-3)
= 1.05 x 10^0
The group is trying to determine what the price difference would be per passenger if 10 of them go on the trip versus if 16 of them go on the trip. what is the difference in price per passenger for a group of 16 versus a group of 10? $46.25 $36.25 $56.25 $26.25
Answers
The difference in price per passenger for a group of 16 versus a group of 10 for this condition is given by: Option D: $26.25
What does a graph of a function represents?A graph contains data of which input maps to which output.
For Cartesian plane, this includes inputs x-axis, and corresponding output on y axis and the highlighted point (x,y) shows that the x value is related to the specific y value.
For the considered case, the missing image is attached below.
From the image, we see that corresponding to the value of number of people 10, the corresponding point on the graph is connected with vertical axis at $1300
For number of people 16, it is $2500
The price per passenger for 10 people is: 1300/10 = $130 The price per passenger for 16 people is: 2500/16 = $156.25The difference in these prices is 156.25 - 130 = 26.25 (in dollars)
Thus, the difference in price per passenger for a group of 16 versus a group of 10 for this condition is given by: Option D: $26.25
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Answer:
D. $26.25
Step-by-step explanation:
edg
Marie is making her own website. She has 45 background colors, 130 fonts, and 20 themes to choose from. How many different designs can she create?
Answers
Answer:
20 designs
Step-by-step explanation:
Some websites have limited data and bytes to hold, so she might have to have one theme, 5 fonts, and 2 background colors to look nice. 1 × 5 × 2 = 10. Add all the other background colors and fonts and themes and divide them by 10.
Therefore, she can create about 20 designs
25 cows produce 4 2/3 literes of milk how much milk is this in total
Answers
Answer:
116 2/3 liters of milk
Step-by-step explanation:
4 2/3 liters of milk per cow * 25 cows = 350/3 liters of milk = 116 2/3 liters of milk
I hope this was good enough. Happy mathing!
Find the final price of a $149 iPod with a 10% discount
and 5% sales tax.
Answers
Answer:
140.80
Step-by-step explanation:
Not completely sure if my answer is correct
– Using the order of operations, which operation should you perform last to evaluate this expression? (1 x 2.5) + (52-13) + (6.7 - 5) - (98+8) A Addition B Subtraction © Multiplication D Division
Answers
Considering the order of operations, the operation that should be performed last is given by:
B Subtraction.
What is the order of operations?The operations inside the parenthesis take precedence over every operation. Then, multiplication/division take precedence over sum/subtraction. If there are only multiplication/division or sum/subtraction, the precedence is from left to right.
In this problem, the expression is:
(1 x 2.5) + (52-13) + (6.7 - 5) - (98+8)
Solving the operations inside the parenthesis, the expression will be given by:
2.5 + 30 + 1.7 - 90
Only addition and subtraction, hence the order is from left to right, and the subtraction is done last, hence option B is correct.
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I need jelpsssssssss
Answers
Answer:
sum up all the sizes and multiple it by 2
what is the difference in length beetween a 1 1/4 inch button and a 3/8 inch button
Answers
Answer:
7/8
Step-by-step explanation:
First you have to make the fractions into a common denominator. So I made 1 1/4 into 10/8. Now you just subtract 2/8 from 10/8 and get 7/8.