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
At one farmer’s market, bananas cost $0. 80 per pound. At another farmer’s market, bananas are sold in 5-pound bags for $4. 50 per bag. Which explains how to find the better buy? Divide 4. 50 by 5 to find the unit rate for the 5-pound bag, and compare that number to $0. 80 per pound. Divide 0. 80 by 5 to find the unit rate for the 5-pound bag, and compare that number to $0. 80 per pound. Multiply 4. 50 by 5 to find the cost for 5 pounds, and compare to $4. 50 per bag. Multiply 4. 50 by 0. 80 to find the cost for 5 pounds, and compare to $4. 50 per bag.
Answers
To find the better buy divide 4.50 by 5 to find the unit rate for the 5-pound bag, and compare that number to $0. 80 per pound.
The cost price per pound is the amount of money required to buy one pound of a brand or goods.
To find the cost price per pound, divide the total amount of cost of the goods to the total number of goods.
At one farmer’s market, bananas cost $0.80 per pound.
At another farmer’s market, bananas are sold in 5-pound bags for $4. 50 per bag. To compare it with first market price, divide the 5 pound bags with $4.50.
The cost of one bag in this market is,
[tex]C=\dfrac{4.50}{5}\\C=0.5625[/tex]
As this cost is less, thus, the cost of this market for one banana is less than the first market and so this is the better buy.
Hence, to find the better buy divide 4.50 by 5 to find the unit rate for the 5-pound bag, and compare that number to $0. 80 per pound.
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What is the area of the triangle shown below?
m2
Answers
1/2 bxh
1/2 30 x 12
15 x12
=12
: Customers arrive at a shopping mart randomly at a rate of 7 per hour.
a) Find the probability that during any 90 minutes’ period, the number of customers arriving at the shopping mart is exactly 8
b) If a customer arrives at 11. 30 am, find the probability that the next patient arrives before
11. 45 am
Answers
Using the Poisson distribution, it is found that the probabilities are given by:
a) 0.1009 = 10.09%.
b) 0.8262 = 82.62%.
What is the Poisson distribution?In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by:
[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]
The parameters are:
x is the number of successese = 2.71828 is the Euler number[tex]\mu[/tex] is the mean in the given interval.Item a:
The mean is of 7 customers for 60 minutes, hence, for 90 minutes = 1.5 x 60 minutes, the mean is given by:
[tex]\mu = 1.5 \times 7 = 10.5[/tex]
The probability of exactly 8 customers is of P(X = 8), hence:
[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]
[tex]P(X = 8) = \frac{e^{-10.5}10.5^{8}}{(8)!} = 0.1009[/tex]
Item b:
Probability of at least one patient in 15 minutes, hence:
[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]
For 15 minutes, the mean is given by:
[tex]\mu = 0.25 \times 7 = 1.75[/tex]
Then:
[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]
[tex]P(X = 8) = \frac{e^{-1.75}1.75^{0}}{(0)!} = 0.1738[/tex]
[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.1738 = 0.8262[/tex]
More can be learned about the Poisson distribution at https://brainly.com/question/13971530
OMG IM SO SORRY BUT I SERIOUSLY NEED HELP
Answers
Answer:
C
Step-by-step explanation:
The answer is C because if you look at the shape carefully, there are two shapes. The measurements for the shape going up and down is (6 x 2 x 4) and the measurements for the shape going from left to right is (8 x 4 x 2).
I wasn't entirely sure how to explain this but I really hope this helps!
Answer:
A and C
those are the two ways to find surface area on that shape without overlap
a construction company is building a house based on the picture. The scale from picture to real house is 1 inch= 8 feet the height of the building in the picture is 2.5 inches what is the height of the real building the proportion i would use to solve this is ____ the height of the real building should be ______ feet. To explain to the construction workers how they would calculate the height of the final building. i would tell them ____
Answers
Answer:
The Height of the building would be 20 feet.
Step-by-step explanation:
1.) 1/8 = 2.5/X
2.) Answer: 20 Feet
3.) Cross Multiply
- 1 inch is to 8 feet as 2.5 inches is to 20 feet.
Please a quick question
Enter an expression equivalent to a^5 in the form of a^x/a^y.
Answers
Answer:
a^7/a^2Step-by-step explanation:
The exponents subtract. really easy 7-2=5
There are infinite possiblities to this.
SonicIsCoool, im at your service if you need more help :)
Thank you.
Answer:
[tex]\frac{a^{8} }{a^{3} }[/tex]
Step-by-step explanation:
using the rule of exponents
[tex]\frac{a^{m} }{a^{n} }[/tex] = [tex]a^{(m-n)}[/tex] , then
[tex]\frac{a^{8} }{a^{3} }[/tex] = [tex]a^{(8-3)}[/tex] = [tex]a^{5}[/tex]
A right triangle has side lengths 5, 12, and 13 as shown below.
Use these lengths to find sin M, tan M, and cos M.
Answers
Answer:
sin M = [tex]\frac{12}{13}[/tex], tan M = [tex]\frac{12}{5}[/tex], cos M = [tex]\frac{5}{13}[/tex]
Step-by-step explanation:
The sine of an angle is equal to [tex]\frac{opposite}{hypotenuse}[/tex]. The opposite (opposite from the angle) side is 12 and the hypotenuse is 13.
The tangent of an angle is equal to [tex]\frac{opposite}{adjacent}[/tex]. The opposite side is 12 and the adjacent (next to the angle) side is 5.
The cosine of an angle is equal to [tex]\frac{adjacent}{hypotenuse}[/tex]. The adjacent (next to the angle) side is 5 and the hypotenuse is 13.
I need jelpsssssssss
Answers
Answer:
sum up all the sizes and multiple it by 2
The volume of this right prism is 266.5 ft³.
What is the height, x, of the prism?
Enter your answer as a decimal in the box.
x =
ft
Answers
Hey there!
1/2 lwh = v
lwh = 2v
h = 2v/lw
Formula:
H = 2v / l w
H = 2(266.5ft³)/lw
H = 533/lw
Other length are Missing like length and width
Incomplete question
Answer:
The answer is 8.2, I took the test.
find the value of x in the triangle shown below.
x=[]
Answers
Answer:
x=[80]
Step-by-step explanation:
angle 1+angle 2+angle x=180
50 +50+x=180
100+x=180
100-100+x=180-100
x=80
Answer:
80
Step-by-step explanation:
The triangle on the image is an isosceles triangle so both of the bottom angles' measure = 50
The sum of interior angles in a triangle is equal to 180
if two angles has 50 degrees then x:
50 + 50 + x = 180
100 + x = 180 subtract 100 from both sides
x = 80
I’m very stuck and someone give the answer
Answers
Answer:
since there are 30 students as a whole and 20 boys make up part of the class, you can assume that there are 10 girls in the class. since the mean mark for boys is 62 I think the mean mark for girls would be 8%
Step-by-step explanation:
x - 3y - 3 = 0
3x - 9y - 2 = 0
Answers
Answer: no solution
x - 3y = 3 --------> (1)
3x - 9y - 2 = 0
3x - 9y = 2 ---------> (2)
Solving (1) and (2)
x - 3y = 3
3x - 9y = 2
Multiply Eqn (1) by 3,
3x - 9y = 9 -------> (3)
3x - 9y = 2 ---------> (4)
Answer provided by Education Point
equation 1 : [tex]\sf x - 3y - 3 = 0[/tex]
equation 2 : [tex]\sf 3x - 9y - 2 = 0[/tex]
make x the subject in equation 1,
[tex]\sf x = 3+3y[/tex]
insert this in equation 2,
[tex]\rightarrow \sf 3(3+3y) - 9y - 2 = 0[/tex]
[tex]\rightarrow \sf 9+9y- 9y - 2 = 0[/tex]
[tex]\rightarrow \sf 7 = 0[/tex]
Thus no solution for x and y in this solution.
A square rug has an area of 256 square feet. What is the perimeter of the rug?
Answers
Answer:
64
Step-by-step explanation:
[tex]\sqrt{256}[/tex] = 16 (length of each side)
A square (rug) has 4 sides.
Add to find perimeter:
16 + 16 + 16 + 16
= 64
Answer: 8ft
Step-by-step explanation:
4A= 256
4A/4 = 256/4
A = 64
A = a²
64 = 4²
a² = 64
a = ±√64
a = ±8
∴a = ±8
Hence, the length of a side of each rug is 8ft.
100 points!!! please help me with this math.
Answers
f=72°
d=153°
b=27°
a=64°
be careful i started with f
Answer:
a=64
b=27
d=153
f=72
Step-by-step explanation:
a+72+134+90=360(sum of the angles around a point is 360)
a+296=360
a=360-296
a=64
b=27(vertically opposite angles are equal in magnitude)
27+b+d+e=360(sum of the angles around a point is 360)
d=e (vertically opposite angles are equal in magnitude)
Therefore,
27+27+2d=360
54+2d=360
2d=360-54
2d= 306
d= 306÷2
d= 153
108+f=180(sum of the adjacent angles on a straight line is 180)
f=180-108
f=72
c)
Point C has me
same x-coordinate as point A
same y-coordinate as point B
Write down the coordinates
of point
Answers
Answer:
(-4, -2)
Step-by-step explanation:
x-axis is horizontal and y-axis is vetical. The first valye of point A is -4, the second value of point B is -2, therefore, point C = (-4, -2)
The coordinates of C from the given graph are (-4, -2).
What are coordinates in a graph?The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.
The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.
We have,
The coordinates of A = (-4, 1)
The coordinates of B = (3, -2)
Now,
Point C has me same x-coordinate as point A and the same y-coordinate as point B
So,
The coordinates of C = -4, -2)
Thus,
The coordinates of C from the given graph are (-4, -2).
Learn more about coordinates here:
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help help help help HELP
Answers
car is travelling faster
22 - 18 = 4 meter per second
hope it helps...!!!
a group of 6 adults pay a total of $105 for for their admission to a museum. Each person has a coupon for $5 off the regular admission price. they want to know what the regular admission price is for one adult. Write an equation if a equals the regular admission price
Answers
Answer:
$22.50
Step-by-step explanation:
105/6= 17.5 each
17.5+5= 22.5
A triangular garden has an area of 144 ft² If the base is 8 ft long, what is the height? 9 ft 18 ft 36 ft 48 ft.
Answers
Answer:
36 feet
Step-by-step explanation:
Hello!
Recall that the formula for the area of a triangle is [tex]\frac12b*h[/tex]
That means the equations is 144 = 0.5(8 * h)
Solve:
144 = 0.5(8) * h144 = 4 * h144 = 4h36 = hThe height is 36, but since the units are feet, it is 36 feet.
In the question it is given that a triangular garden has an area of 144 ft² and measure of its base is 8ft. So we would be simply using the formula of calculating the area of rectangle.
[tex]\boxed{\sf{Area \: of \: triangle \: = \: \dfrac{1}{2} \times l \times b }} \: \red\bigstar[/tex]Here,
l is length b is breadthTo calculate :
Height of the triangle? (i.e. length)We have :
length (l) = 8ft Area (A) = 144 ft²Putting the values in formula :
[tex] \implies \: \sf{144 = \: \dfrac{1}{2} \times l \times 8 } \\ \\ \implies \: \sf{144 = \: \dfrac{1}{ \cancel2} \times l \times \cancel8 } \\ \\ \implies \: \sf{144 = \: \dfrac{1}{1} \times l \times 4 } \\ \\ \implies \: \sf{144 = \: l \times 4 } \\ \\ \implies \: \sf{ l \: = \: \dfrac{144}{4} } \\ \\ \implies \: \sf{ l \: = \: \cancel\dfrac{144}{4} } \\ \\ \implies \: \sf{ l \: = \: \dfrac{72}{2} } \\ \\ \implies \: \sf{ l \: = \: \cancel\dfrac{72}{2} } \\ \\ \implies \: \sf{ l \: = \: \dfrac{36}{1} } \\ \\ \implies \: \red{\underline{\underline{\bf{ l \: = \: 36 }}}}[/tex]
Henceforth,
Height is of 36 ft.solve pls brainliest
Answers
Answer: The answer is -15/7
Step-by-step explanation: Think of the 3 as 3/1. You then have the equation as -5/7 x 3/1. Multiply straight across so it would be 5 x 3 and -7 x 1. It doesn't matter what you do with the negative as long as it is in the final answer. It could be in the denominator or the numerator. So that answer is -15/7.
HOPE THIS HELPED!
Answer:
-1 1/7 :)
Step-by-step explanation:
[tex]-\frac{5}{7}[/tex] x 3
[tex]-\frac{5}{7}[/tex] x [tex]\frac{3}{1}[/tex]
[tex]-\frac{15}{7}[/tex]
Now lest simplify it!!
-1 [tex]\frac{1}{7}[/tex]
Hope this helps!!
Have a great day!!
Please rate and mark brainliest!!
A building has a height of 16 1/4 meters. Each floor in the building has a height of 3 1/4meters.
How many floors are in the building?
Answers
Answer:
5
Step-by-step explanation:
16 1/4 divided 3 1/4
What’s the answer to the blank
Answers
Answer:
13.93
Step-by-step explanation:
find the mean
11.60 + 16.25 ÷ 2 = 13.93
HELPPPPPPPPPPPPPPPPPPPPPP
Answers
Answer:
x=6
Step-by-step explanation:
i hope it's helpful for youAnswer:
x=6
Step-by-step explanation:
24÷4=6
4×6=24
Hope it helps :))
a*b=a+2b find 2*3
please help me
Answers
Answer:
7
Step-by-step explanation:
solna*b=a+2b2*3=a+2b a=3 b=2 =3+2×2 =3+4 =7answerPlease help me
What is the difference between 14n +7 and 8n + 3/4
Answers
= 14n - 8n + 7 - 3/4?
= 6n + 25/4
Select each correct answer.
f(x) is a polynomial function.
f(x) is an exponential function.
g(x) is a polynomial function.
g(x) is an exponential function.
The output values of f(x) will remain greater than those of g(x) as the input values continue to increase.
The output values of g(x) will surpass those of f(x) as the input values continue to increase.
Answers
Answer:
f(x) is a polynomial function.g(x) is an exponential function.The output values of g(x) will surpass those of f(x) as the input values continue to increase.Explanation:
f(x) has a function of x³g(x) has a function of [tex]\sf 3^X[/tex]False statements:
The output values of f(x) will remain greater than those of g(x) as the input values continue to increase.f(x) is an exponential function - as crosses x-axis, exponential never crosses x-axisg(x) is a polynomial function - as has no valid power.Answer:
By examining the table of ordered pairs, notice that the function f(x) is the cube of [tex]x[/tex]. Therefore, [tex]f(x)=x^3[/tex]
By examining the table of ordered pairs, notice that as [tex]x[/tex] increases by a constant value, the value of the function g(x) increases by the common ratio of 3. Therefore, [tex]g(x)=3^x[/tex]
From the table, both functions equal 27 when [tex]x=3[/tex], therefore, the point of intersection of the two functions is (3, 27).
As x increases past [tex]x=3[/tex], g(x) increases quicker than f(x) since g(x) is an exponential function and f(x) is a cubic polynomial.
So the following statements are true:
f(x) is a polynomial functiong(x) is an exponential functionThe output values of g(x) will surpass those of f(x) as the input values continue to increase.Please refer to the attached graph of both functions with plotted ordered pairs.
HELP!!
Find the mistake: Use the picture to find the diagonal of
the television. Look at the student’s work and solution.
Identify the error, solve the problem. Then share a
strategy this student could use to prevent this error again.
Answers
Answer:
It is actually very simple:
Notice that they don't actually do the square of 49 and 64. For some reason, they do the square root of the values without squaring them. If we were to do it in the right way, the answer would be:
[tex]49^{2} +64^{2} = c^{2}[/tex]⇔ 2401+4096 = [tex]c^{2}[/tex] ⇔ 6497 = [tex]c^{2}[/tex] ⇔ [tex]\sqrt{6497}[/tex] = [tex]\sqrt{c^{2} }[/tex] ⇔ 80,6 ≈ c
I believe this is the answer. I hope I had helped :)
Simon does some shopping on the internet. He buys 4 CDs at $8.63 each. How much do the CDs cost altogether?
Answers
Answer:
34.52
Step-by-step explanation:
Multiplication plus may i have branlies t
Answer:
the total would be 34.52
Step-by-step explanation:
If we have 4 Cd's that cost 8.63 a piece, all we would need to do is multiply 8.63 by 4, or just add 8.63 4 times.
hope this helps, please rate and mark as brainlest.
solve pls brainliest
Answers
Answer: 200 students gave their speeches.
Explanation;
240 ÷ 6 = 40
40 x 5 = 200
A huge Ping-Pong tournament is held in Beijing with 65,536 participants at the start of the tournament. Each round of
the tournament eliminates half the participants.
a.
If p(r) represents the number of participants remaining after r rounds of play, write a formula to model the
number of participants remaining.
Answers
Answer:
[tex]P(r)=65536(\frac{1}{2})^{r}[/tex]
Step-by-step explanation:
Since the total number of participants in the tournament is 65,536 people, and the exponential decay is [tex]\frac{1}{2}[/tex], using [tex]P(r)[/tex] as the representative of the number of people after [tex]r[/tex] rounds, the formula to represent the model would be [tex]P(r)=65536(\frac{1}{2})^{r}[/tex].
Answer:
[tex]p_r = 65\ 536 \div 2^r = 65\ 536 \div 2^-^r = 2^{16-r}; r\ \in \{0,1,2,3...16\}[/tex]
Step-by-step explanation:
Pet peeve of mine: let's call it [tex]p_r[/tex] (read p sub r)since it's a representation over the natural numbers and not over [tex]\mathbb{R}[/tex].
Old man yelling at clouds moment gone, we know that the number of people gets halved every time so
At round 0, we do not halve, so [tex]p_0 = 65\ 536\div 1[/tex]
At round 1, we halve once, so [tex]p_1 = 65\ 536\div 2[/tex]
At round 2, we halve twice, so [tex]p_2 = 65\ 536\div 4 = 65\ 536\div 2^2[/tex]
At round 3, we halve three times, so [tex]p_3 = 65\ 536\div 8 = 65\ 536\div 2^3[/tex]
...
At round k, we halved k times, so [tex]p_k = 65\ 536 \div 2^k[/tex]
...
At round 16 we [tex]2^1^6 =65\ 536[/tex] so we have a winner.
That allows us to write a formula. I personally find the last one to be the neater, but any of the three is formally correct.
[tex]p_r = 65\ 536 \div 2^r = 65\ 536 \div 2^-^r = 2^{16-r}; r\ \in \{0,1,2,3...16\}[/tex]
A study was conducted of 351 species of mammals worldwide. The
scientists conducting the study found that 140 species could be
found in Asia and 94 species could be found in Africa, and of those,
22 could be found in both continents.
What is the probability of randomly selecting a species of mammal
that is neither found in Asia nor Africa? Write your answer as a
fraction.
Answers
Answer:
95/351
Step-by-step explanation:
the first thing you must do is to add 140 and 94 and 22 together
you get 256
then you subtract 351 with 256 and get 95
and then you do this
95/351