Based on the data given in the picture, calculate the area of the car track...
Please, I need help, i will mark the answer with a brainliest mark...
Answers
Refer to the diagram below. We need to find the areas of the green and blue regions, then subtract to get the area of the orange track only.
The larger green region is composed of a rectangle of dimensions 200 meters by 4+42+4 = 50 meters, along with two semicircles that combine to make a full circle. This circle has radius 25 meters.
The green rectangle has area 200*50 = 10000 square meters. The green semicircles combine to form an area of pi*r^2 = pi*25^2 = 625pi square meters. In total, the full green area is 10000+625pi square meters. I'm leaving things in terms of pi for now. The approximation will come later.
The blue area is the same story, but smaller dimensions. The blue rectangle has dimensions 200 meters by 42 meters, so its area is 200*42 = 8400 square meters. The blue semicircular pieces combine to a circle with area pi*r^2 = pi*21^2 = 441pi square meters. In total, the blue region has area 8400+441pi square meters.
After we figure out the green and blue areas, we subtract to get the orange region's area, which is the area of the track only.
orange area = (green) - (blue)
track area = (10000+625pi) - (8400+441pi)
track area = 10000+625pi - 8400-441pi
track area = (10000-8400) + (625pi - 441pi)
track area = 184pi + 1600 is the exact area in terms of pi
track area = 2178.05304826052 is the approximate area when you use the pi constant built into your calculator. If you use pi = 3.14 instead, then you'll get 2177.76 as the approximate answer. I think its better to use the more accurate version of pi. Of course, be sure to listen/follow your teachers instructions.
Related Questions
Hey i had previously if -20.33 was rational or irrational , i didn’t get an answer could someone please let me know ?
Answers
Answer:
Yes
Step-by-step explanation:
-20.33 is rational. It has a terminating decimal.
Terminating and repeating decimals are rational. Decimals that are never ending and does not have a repeating pattern of decimals are irrational.
-20.33 = [tex]-20\frac{33}{100}[/tex]
Find the area
Please help me thank you!
Answers
In the diagram, the lines dividing the parking spaces are parallel. What must be true about <1 and <2? What theorem supports your conclusion?
Answers
Answer:
Option B.
Step-by-step explanation:
Given question is incomplete; find the question in the attachment.
Given figure shows the parking spaces are divided by the parallel lines.
Here the two lines having ∠1 and ∠2 are parallel and a transverse is intersecting these lines.
By alternate interior angles theorem, ∠1 and ∠2 will be equal in measure.
Therefore, Option B. will be the answer.
Denise calculated the missing side length of one of these triangles using the Pythagorean Theorem. Which triangle is it? (4 points) Four triangles are shown. Triangle A has three equal sides, and two sides are marked 4 and 4. Triangle B has sides marked 3 and 5. Triangle C has sides marked 4 and 5. Triangle D has sides marked 2 and 4 and a right angle marked in between them.
Answers
Answer:
D
Step-by-step explanation:
Answer:
The answer is triangle D because you can only apply the Pythagorean Theorem to right triangles
examine the relationships that exist in the diagram below. find the measures of angles a, b, c, and d. remember that you can find the angles in any order, depending on the angle relationships you use.
Answers
Answer:
m∠a = 97°
m∠b = 15°
m∠c = 68°
m∠d = 68°
Step-by-step explanation:
Since WY and RZ are parallel lines and XR is a transverse,
m∠XWY = m∠XRZ
a = 97°
m∠WYX = 180° - 112° = 68°
In ΔXYW,
m∠WXY = 180° - (m∠XWY + m∠WYX)
= 180° - (a + 68°)
= 180 - (97 + 68)
= 180 - 165
= 15°
b = 15°
Since WY and RZ are the parallel lines and XZ is a transverse,
m∠WYX = m∠RZX = 68°
c = 68°
m∠d = m∠c [Alternate interior angles]
d = 68°
What is the value for x when solving the equation –x + (–1) = 3x + (–5) using alegbra tiles?
Answers
Answer:
x=1
Step-by-step explanation:
just use this app called photomath its free on apple and gives you answers.
Answer: x = 1
Step-by-step explanation:
–x + (–1) = 3x + (–5)
−x−1−3x=3x−5−3x
−4x−1=−5
Add 1 to both sides.
−4x−1+1=−5+1
−4x=−4
Divide both sides by -4.
x = 1
Hope this helps :)
In triangle ABC points M and N lie on sides AB and BC, respectively such that MN∥ AC . Segments AN and CM intersect at point K and AK = KC. Prove that △ABC is isosceles.
Answers
Answer:
Statements Reasons
1. [tex]MN \parallel AC[/tex] 1. Given
2. [tex]AK = KC[/tex] 2. Given
3. [tex]m \angle NAC = m\angle MCA[/tex] 3. Base angles theorem.
4. [tex]m \angle NAC = m\angle MNA[/tex] 4. Alternate interior angles.
5. [tex]m \angle MCA = m \angle NMC[/tex] 5. Alternate interior angles.
6. [tex]MK = NK[/tex] 6. Isosceles triangle theorem.
7. [tex]m \angle MKA = m \angle NKC[/tex] 7. Vertical angles.
8. [tex]\triangle MKA \cong \triangle NKC[/tex] 8. By SAS postulate.
9. [tex]m \angle MAK = m \angle NCK[/tex] 9. By CPCTC.
10. 10. Sum of adjacent angles.
[tex]m\angle MAK + m \angle NAC = m \angle NCK + m \angle MCA\\m \angle A = m \angle C[/tex]
11. [tex]\triangle ABC[/tex] is isosceles 11. Base angles theorem.
n circle V, r = 14ft.
What is the area of circle V?
a
49π square feet
b
196π square feet
c
14π square feet
d
28π square feet
Answers
Answer:
196 pi, otherwise known as choice b
Step-by-step explanation:
14^2*pi
Answer:
b
Step-by-step explanation:
The formula for the area of a circle is [tex]\pi r^2[/tex]. Plugging in the radius that you are given, you get [tex]\pi \cdot 14^2=196\pi[/tex], or answer choice b. Hope this helps!
Math isnt my strong suit..
Answers
Answer:
See explanation below.
Step-by-step explanation:
First, read this explanation of how to understand probability numbers.
A probability number is a number from 0 to 1. It can be written as a decimal, a fraction, or a percent, but it must be from 0 to 1. The numbers 0, 25%, 1/3, 0.75 are all examples of probabilities since they are all from 0 to 1. 25% is the same as 0.25; 1/3 is the same as 0.333... All probabilities are expressed as 0, 1, or a number in between 0 and 1.
A probability of 0 means the event will not happen. It is an impossibility.
A probability of 1 or 100% is a sure thing it will happen. It is certain it will happen.
A probability of 50% or 0.5 or 1/2 means it is as likely to happen as it is not to happen.
A probability of between 0 and 0.5 is more likely not to happen than to happen.
A probability of between 0.5 and 1 is more likely to happen than to not happen.
Now let's look at each one of the probabilities in your problem.
1. 1/4
1/4 is the same as 0.25 which is between 0 and 0.5. It is more likely to not happen.
1. b. Unlikely
2. 0.0
0.0 will definitely not happen.
2. e. Impossible
3. 0.50
0.50 can just as easily happen or not happen.
3. d. Equally Likely
4. 100%
100% is the same as 1. A probability of 1 means an event that is certain to happen.
4. a. Certain
5. 75/100
75/100 is the same as 3/4 and 0.75; 0.75 is between 0.5 and 1, so it is more likely to happen than to not happen.
5. c. Likely
The space shuttle's external tank was a component of the space shuttle's launch vehicle that carried the fuel during launch. The tank is cylindrical in shape, having a diameter of 8.4 metres and is 46.9 metres in length. A)How much fuel would the tank hold? B)The tank takes 8.5 minutes to be emptied during launch. At what rate is the fuel being used?
Answers
Answer:
a. The tank would hold a 2,600.136 m^3 or 2,600,136 liters of fuel
b. The rate at which the fuel is being used is 305,898.35 liters of fuel per minute
Step-by-step explanation:
a. Since the tank is cylindrical in shape, we can mathematically calculate the volume of the cylinder so as to know the amount of fuel it will hold.
Mathematically, the volume of a cylinder;
V = π * r^2 * h
where r is the radius which is the diameter divided by 2 = 8.4/2 = 4.2 meters in this case
h is the length here(in place of the conventional height) = 46.9 meters
π = 22/7
Plugging these values into the equation, we have;
V = 22/7 * 4.2^2 * 46.9 = 2,600.136 m^3 of fuel
Since 1 m^3 = 1000 liters
then 2,600.136 m^3 = 2,600.136 * 1000 = 2,600,136 liters( liters is a more comfortable unit when talking about liquids such as fuel)
b. Now we want to know the rate at which the fuel is used
What we need here is to just divide the volume of fuel used by the number of minutes it took the tank to be emptied
That would be = 2,600,136/8.5 = 305,898.35 liters/minute
Mr. Mole's burrow lies 5 meters below the ground. He started digging his way deeper into the ground, descending 3 meters each minute.
Graph the relationship between Mr. Mole's elevation relative to the ground (in meters) and time (in minutes).
Answers
Answer is that Mr mole goes 3 each minute for each minute add on those 3 as you add on those 3 write it down counting how many then you know the time and the meters hes been digging
Can someone help me on this?
Answers
Answer:
B
Step-by-step explanation:
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Answer:
b
Step-by-step explanation:
Joe is looking for a new laptop case. His computer is 18 x 13.5 inches. What is the perimeter and area of the laptop case?
Perimeter:
Area:
Answers
Answer:
Perimeter =63 inches
Area = 243in²
Step-by-step explanation:
Given data
Length of computer = 18in
Width of computer = 13.5in
From the given data the computer has a rectangular shape
Perimeter of the computer = L+L+W+W= 2L+2W
Perimeter = 2(18)+ 2(13.5)
Perimeter = 36+27=63 inches
Area of rectangular shape = L*W
Area = 18 x 13.5= 243in²
Answer:
Perimeter: 63 inches
Area : 243 square inches
Step-by-step explanation:
Hi, to answer this question w eave to apply the next formulas:
Perimeter of a rectangle: (2 x width) + (2 x length )
Area of a rectangle: width x length
Replacing with the values given:
Perimeter: 2(18) +2(13.5) = 36+27 = 63 inches
Area = 18 x 13.5 = 243 square inches
Feel free to ask for more if needed or if you did not understand something.
Which is equivalent to (negative 2 m + 5 n) squared, and what type of special product is it?
Answers
Answer:
4 m squared minus 20 m n + 25 n squared; a perfect square trinomial
Step-by-step explanation:
Given expression,
(negative 2 m + 5 n) squared
By using (a+b)² = a² + 2ab + b²,
∵ A trinomial which is the square of a binomial is called a perfect square trinomial.
Thus, is a perfect square trinomial.
please help will mark brainly
Answers
Answer:
The Answer Is 2/3
Step-by-step explanation:
If you look at the shaded area it is 2 shaded out of 3 which means 2/3
Answer:
2/3
Step-by-step explanation:
There are 3 blocks and 2 of those 3 are shaded.
Hope this helps
Please mark me as Brainliest
find the value of x in the following..... 3^x = 8
Answers
log (3^x) = log 8
xlog3 = log8
x = log8/log3
x = 1.893
Answer:
x ≈ 1.893 ( to 3 dec. places )
Step-by-step explanation:
Using the rule of logarithms
log [tex]x^{n}[/tex] = n logx
Given
[tex]3^{x}[/tex] = 8 ( take the log of both sides )
log[tex]3^{x}[/tex] = log8, that is
xlog3 = log8 ( divide both sides by log3 )
x = [tex]\frac{log8}{log3}[/tex] ≈ 1.893
Selecting 5 out of the 13 students will ride in a car instead of a van.
A) Permutation
B) Combination
C) Circular permutation
Answers
Answer:
combination
Step-by-step explanation:
permutation is when there is a specific order, whereas combination is when they are not in any specific pattern (in this case, 5/13 students, not in any particular order. just 5.
I don't want to explain circular permutation right now (it's difficult to explain), but it's not it from my knowledge
The number of ways selecting 5 out of the 13 students will ride in a car instead of a van is 1287.
The way of selecting 5 out of the 13 students will ride in a car instead of a van is evaluated by the combinations.
We consider the group of 5 students can be selected to ride in a car instead of a van.
Thus, for selecting a random group of the data from the universal data, we have to apply combinations to evaluate it.
Therefore, the ways can be formulated as:
[tex]^{13}C_5=\dfrac{13!}{5! \times 6!}\\=1287\;\rm{ways}[/tex]
Thus, the number of ways selecting 5 out of the 13 students will ride in a car instead of a van is 1287.
To know more about the combinations, please refer to the link:
https://brainly.com/question/10699405
Which expression has the same value as 5(4x+4)
Answers
Answer: 20x + 20
Step-by-step explanation: In this problem, the 5 "distributes" through the parentheses, multiplying by each of the terms inside.
So we have 5(4x) + 5(4) which simplifies to 20x + 20.
The value of a car is $30.000and depreciates at a rate of 6.5% each year.
What will the value of the car be after 5 years?
Answers
find interest and subtract it from 30,000
Carter took 7 coins out of his pocket. He did not have any pennies.He had more than $0.95 and less than $1.13 what could his coins have been ?Prove your anser
Answers
Answer:
Carter's coins could be;
3 of 5¢, 2 of 10¢, 1 of 25¢, and 1 of 50¢
Step-by-step explanation:
The available coin denominations are;
1¢ = 1 penny, 5¢, 10¢, 25¢, 50¢, and $1.00
Since the coins are more than $0.95, we can have;
5¢ × 3
10¢× 2
25¢× 1
50¢
Total = $1.00
That is his coins could have been 3 × 5¢, 2 × 10¢, 1 × 25¢, and 1 × 50¢, to make a total of 7 coins with an amount value of $1.00.
Write 4x^4 + x^6 - 3+ 6x^8 in standard form.
Answers
Answer:
6x^8 + x^6 + 4x^4 + 0x^2 - 3
Step-by-step explanation:
Rewrite this in descending order by powers of x:
6x^8 + x^6 + 4x^4 + 0x^2 - 3x^0
or
6x^8 + x^6 + 4x^4 + 0x^2 - 3
Slope and y-intercept of the function y= -5x+4.
Answers
Answer:Slope is -5. y-intercept is 4
Step-by-step explanation:
y=mx+c m=slope y-intercept=c
y=-5x+4
Comparing both equations we m=-5 and c=4 meaning slope =-5 y-intercept=4
can someone help? 25 points
Answers
Answer:
Triangle A: acute
Triangle B: acute
Triangle C: obtuse
Triangle D: right
Step-by-step explanation:
acute= less than 90 degrees each angle
obtuse=more than 90 degrees for one angle
right=equal exactly 90 degrees for one angle
Answer:
A=Acute
B. Acute
C.Obtuse
D.Right
Step-by-step explanation:
a,and b, and are acute becuase there angles are less than 90 degrees.
d is obtuse beucase the angleismore than 90 degrees
D is right beucase the angle is 90 degrees and it hasthat square in the corner.
What is the surface area of the square pyramid?
Answers
Answer:
D
Step-by-step explanation:
The formula for the surface area of a square pyramid is [tex]a^2+2a\sqrt{\dfrac{a^2}{4}+h^2}[/tex], where a is the length of one of the base side lengths and h is the height. Plugging in the given values into this equation, you get:
[tex]75^2+2(75)\sqrt{\dfrac{75^2}{4}+90^2}=[/tex]
[tex]5625+150\cdot \sqrt{9506.25}=[/tex]
[tex]5625+14625=[/tex]
[tex]20,250[/tex] square yards, or answer choice D.
Hope this helps!
4,250,000 written in word form
Answers
Answer: four million two hundred fifty thousand.
Step-by-step explanation:
Can someone tell me the rate of change on this graph?? Please!
Answers
1. Look on the x axis at the 1
2. Look at the y coordinate to identify the rate of change.
(You can do extra steps with rise and run and scaling down but this is the easier way ;) )
what is absolute diviation
Answers
It’s the average distance between each data value and the mean.
Answer:
one measure of variability; the average of how much the individual scores of a data set differ from the mean of the set. - abbreviation: MAD
Step-by-step explanation:
Round 69.65 to the nearest whole number.
A) 69
B) 69.7
C) 70
D) 70.6
Answers
Answer:
70
Step-by-step explanation:
69.65
We look at the tenths place to determine if we round up or leave it alone
.6 is greater then or equal to five so we need to round the 9 up
69.65 rounds to 70
Answer:
C
Step-by-step explanation:
Rounding 69.65 to the whole number would be 70
It's spaghetti night at Carley's house. She has 1/2 of a cup of grated cheese to sprinkle equally over 3 bowls of spaghetti. How many cups of cheese does she put in each bowl ?
Answers
Answer:
1/6 a cup on each bowl
Step-by-step explanation:
1/2 divided by 3 is 1/6
A store employee counts 285 different lawn decorations. He wants to organize them and place the lawn decorations on 9 shelves. About how many lawn decorations will go on each shelf? A About 30 B About 40 C About 50 D About 90
Answers
Answer: C) About 30
Step-by-step explanation: 285/9= 31.6666666667 which rounded to the nearest ten is equal to 30
There should be about 30 decorations on each shelf.
What is division?The opposite of multiplication is division. Assuming that 3 gatherings of 4 make 12 in augmentation, 12 isolated into 3 equivalent gatherings give 4 in each gathering in division.
The primary objective of partitioning is to perceive the number of equivalent gatherings that are shaped or the number of are in each gathering while sharing decently.
Given total lawn decorations = 285
and to arrange in 9 shelves
each shelves will have
285/9 = 31.6667
the nearest ten is 30.
Hence each shelf have about 30 decorations.
Learn more about division;
https://brainly.com/question/1575906
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