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.
Solve the following inequality for p. Write your answer in simplest form.
6p+5≤-2p-5
Answer:
p≤-5/4
Step-by-step explanation:
Move variable to the left hand side and change its sign, move the constant tp the right hand side and change its sign
6p+2p+5≤-5
Collect like terms
8p≤-5-5
8p≤-10
Divide both sides of the inequality by 8
p≤-5/4
I am taking a test rn and idk what to do for this one, someone help please.
Answer:
idk
Step-by-step explanation:
Answer (#2):
125 (degrees)
Step-by-step explanation:
<ATH= 180 - x
the sum of the degrees in a triangle is 180, so <ATH=180-43-82=55 (degrees)
x=180-55=43+82=125 (degrees)
Answer (#3):
x=11, <C=12 (degrees)
Step-by-step explanation:
(3x+28)+(5x+52)+(2x-10)=10x+70=180
x=110/10=11
give that a load of mass 20kg is acted upon by a force of 60N calculate the acceleration of the load
Answer:
[tex]3m/s^2[/tex]
Step-by-step explanation:
the information that we have is:
mass: [tex]m=20kg[/tex]
force applied: [tex]F=60N[/tex]
since we need to find the acceleration, we can use Newton's second law of motion:
[tex]F=ma[/tex]
Where [tex]F[/tex] is the force applied to a mass [tex]m[/tex] which creates an acceleration [tex]a[/tex].
we solve this equation for the acceleration:
[tex]a=\frac{F}{m}[/tex]
and we substitute the known values:
[tex]a=\frac{60N}{20kg} \\\\a=3m/s^2[/tex]
the acceleration of the load is: [tex]3m/s^2[/tex]
please help me???? (proportions) WORTH BIG POINTS
Answer:
5 hours
Step-by-step explanation:
The proportion is 120/200 = 3/x
We cross multiply to get an equation of
3*200 = 120*x
120x = 600
Then divide 120 by both sides to get..
x= 5 hours
- Hope this helped! :)
Answer:
5 hours
Step-by-step explanation:
I did it before
A taxi charges $3, plus $1.50 for each mile traveled. Mr. Hill rode in the taxi
from his home to the airport and was charged $30. How many miles does
Mr. Hill live from the airport?
Answer:
18 miles from the airport
Answer:
18
Step-by-step explanation:
30-3=27 divided by 1.50=18
which expression is not equal to 1
The only option that is not equal to 1 is sinθcosθ
Acoording to trigonometric identity
cot theta = 1/tan theta
sec θ = 1/cosθ
cosec θ = 1/sinθ
For the first option:
sin θcscθ = sinθ * 1/sinθ
sinθcscθ = 1
For the second option
cosθseccθ = cosθ * 1/cosθ
cosθsecθ = 1
For the
tanθcotθ = tanθ * 1/tanθ
tanθcotθ = 1
This shows that the only option that is not equal to 1 is sinθcosθ
Learn moree trigonometry here: https://brainly.com/question/20519838
What is the measure of mop
Please please thank you
Answer:
option 2
452.16
You would need to use this equation...
V=πr²h
3.14 * (4)² * 9
= 452.16 cm³
hello whats is 1000*1000
Answer:
1000000
Step-by-step explanation:
Answer: 1000000
Step
no
step
Please which one is it?
Answer:
The answer is D
Step-by-step explanation:
because if you measure and solve it you get supplementary angles. Also all the angles total equal to 360.
Answer:
i believe its complementary angle
Step-by-step explanation:
Complementary angles are two angles with a sum of 90
i hope this helps
A TV has a listed price of $788.99 before tax. If the sales tax rate is 8.75%, find the total cost of the TV with sales tax included. Round your answer to the nearest cent, as necessary.
Answer:
$858.02
Step-by-step explanation:
Take $788.99 times 8.75% = 69.03 this is the amount of tax
Add 788.99 and 69.03 = 858.02
Answer:
the answer would be $858.03
I NEED HELP RIGHT NOW!!!!!!!!!!!!!!
Answer: A . 0
Step-by-step explanation:
The two smaller sides does not equal to the longer length or greater than the longer length so no triangles can be form.
Consider the quadratic function f(x)= 2(x + 4)² − 6. Does the graph open up or down
Answer:
up
Step-by-step explanation:
a is positive
pleeeeeeeaaaaseee heeelp meeeee
The area A of a trapezoid is the height h times the average of the parallel bases a and b.
A = (1/2)(a + b)h
Solving for a,
2A = (a+b)h
2A/h = a+b
a = 2A/h - b
We have A=59.64, b=4, h=8.4
a = 2(59.64)/8.4 - 4
a = 10.2 yards
Answer: 10.2
Find the product. This is for algebra 2.
Answer:
D
Step-by-step explanation:
I would guess that the answer is the last one, D.
This is because,
1 * -2 = -2.
1 * 0 = 0
2 * 1 = 2
3 * 4 =12
Answer:
D
Step-by-step explanation:
Hope this helped
Please help!!!
Decide whether each set of three given lengths determines a triangle. Select Yes or No as your answer.
1a: 3 cm, 4 cm, 5 cm *
Yes
No
1b. 1 cm, 4 cm, 5 cm *
Yes
No
1c: 1 cm, 5 cm, 5 cm *
1 point
Yes
No
1d. 8 cm, 3 cm, 4 cm *
Yes
No
1e: 8 cm, 8 cm, 4 cm *
Yes
No
1f: 4 cm, 4 cm, 4 cm *
Yes
No
Answer:
1a) Yes
1b) No
1c) Yes
1d) No
1e) Yes
1f) Yes
Step-by-step explanation:
1a) 3+4>5
7>5 Yes
4+5>3
9>3 Yes
5+3>4
8>4 Yes
Yes
1b) 1+4 =5
No
No
1c) 1+5>5 Yes
5+5>1 Yes
1+5>5 Yes
Yes
1d) 4+3<8 No
No
1e) 8+8>4 Yes
8+4>8 Yes
8+4>8 Yes
Yes
1f) 4+4>4 Yes
4+4>4 Yes
4+4>4 Yes
Yes
12 Shelley sells books,
2
On Saturday she is going to give a free book mark and a free dust ever with each book
she sells
All the books are the same size
Shelley needs to buy the book marks and the dust covers,
Book marks come in boxes,
Each box contains 24 book marks.
Dust covers come in packs.
Each pack contains 36 dust covers,
Shelley wants to have enough book marks and dust covers for 250 books,
She buys exactly the same number of book marks and dust covers.
Work out the number of boxes of book marks and the number of packs of dust covers she
buys
You must show all your working
Answer:
12 boxes of bookmarks and 8 packs of dust covers.
Step-by-step explanation:
Shelley wants to have at least 250 bookmarks and dust covers for her 250 books.
One box of bookmarks contain 24 bookmarks.
One pack of dust cover contain 36 dust covers.
Shelley buys same number of bookmarks and dust covers.
So, we need to find out LCM(Least Common Multiple) of 24 and 36 to come to a common number that can be bought.
LCM of 24 and 36 is 72.
But, at least 250 bookmarks or dust covers have to be bought. So, we need to find a multiple of 72 which is greater than or equal to 250.
Let us consider the Table of 72:
72, 144, 216, 288, 360 .....
For having enough count of bookmarks and dust covers, at least 288 bookmarks and dust covers have to be bought.
Number of boxes of bookmarks bought = [tex]\frac{288}{24} \Rightarrow 12[/tex]
Number of packs of dust covers bought = [tex]\frac{288}{36} \Rightarrow 8[/tex]
12 boxes of bookmarks and 8 packs of dust covers.
Complete the equation and solve the problem. Let n be the number of students in each row. There are 37 students in the marching band. There are 5 students in the first row, and the rest are in 4 equal rows. How many students are in each of the 4 rows?
Answer:
37 - 5 = 32
32/4 = 8
8 students are in each of the 4 rows
Answer: there are 8 students in each of the 4 equal rows
Step-by-step explanation:
x = # of students in each of the 4 rows
4x + 5 = 37
4x = 32
x = 8
There are 8 students in each of the 4 rows.
You can check this:
4 rows of 8 students —> 4(8) = 32 students
+ 5 students in the first row
= 37 students total
A jar contains 10 red marbles, 8 green marbles, 5 blue marbles, and 6 white marbles. You also have a number cube. What is the probability of choosing a red marble and rolling an even number?
Answer:
5/29
Step-by-step explanation:
This is a compound event.
Compound events are found by multiplying the probabilities of both events.
So we need to multiply the probability of chooseing a red marble and rolling an even number.
10 red
8 green
5 blue
6 white
Total marbles = 29
P(red marble) = 10/29
A die/number cube has 6 sides. Each has a probability of 1/6.
1
2
3
4
5
6
There are 3 even numbers here. The probability of an even number is:
P(even) = 3/6 = 1/2
Now we need to find the probability of both events occurring. So multiply both probabilities and you will get the answer:
10/29 x 1/2 = 5/29
The probability of choosing a red marble and rolling an even number is 5/29.
Please mark me brainliest if this helped :)
I only need 3 more to become an expert!
An old website requires a four-character password consisting of three numbers and one letter. A new website requires a six-character password consisting of three numbers and three letters. How many more passwords can be made for the new website?
Answer:
a lot
Step-by-step explanation:
Simplify the expression to a+bi form: (10+10i)+(-7+3i)
Answer:
3+13i
Step-by-step explanation:
(10+10i)+(-7+3i)
Combine the real parts
10+-7 = 3
And the imaginary parts
10i +3i = 13i
Combine them to make the complex number
3+13i
what’s the solution by graphing?
PLEASE HURRY!!
A cone has a height of 7 ft and a radius of 4 ft. Which equation can find the volume of the cone?
V=52172(4382
v-264217)ft
V = 3x(72)(4) ft
V-37(42)(7)ft?
Answer:
V = π*r^2*h/3
the formula not sure which answer represent that
117.29 ft^3
Step-by-step explanation:
HELP GIVING BRAINLIST TO THE COSSECT ANSWER
Answer:
1. -18-6k=6(1+3k) k= -1
2. 5n+34=-2(1-7n) n=4
3. 2(4x-3)-8=4+2x x=3
4. 3n-5=-8(6+5n) n= -1
if i could get brainliest that would be great
Alex and Micah scores a total of 40 points in the basketball game. Micah scores four more points than twice Alex's score. How many points did Micah score?
Answer:
Alex's points are 12 and Micah's are 28.
Step-by-step explanation:
We can solve it in the following way, with "A" being Alex's points and "M" being Micah's points, we have to:
A + M = 40
M = 4 + 2 * A
Replacing 2 in 1:
A + 4 + 2 * A = 40
3 * A = 40 - 4
A = 36/3
A = 12
For M:
M = 4 + 2 * 12
M = 28
Therefore Alex's points are 12 and Micah's are 28.
The hardware store is having a 15% off sale on lawn mowers this weekend.If x is the original price of the lawn mower,what will be the final sales price,excluding tax?
Answer:
Final price f = 0.85x
Step-by-step explanation:
Let f represent the final price and
x is the original price of the lawn mower
Given;
The hardware store is having a 15% off sale on lawn mowers this weekend;
the final sales price,excluding tax will be equal to the original price minus 15% of the original price.
Final price f = 100% of x - 15% of x
Final price f = x - 0.15x
Final price f = 0.85x
Answer:
WHAT IS THE ANSWER?
Step-by-step explanation:
help mehhh
You have money in an account at 6% interest, compounded monthly. To the nearest year, how long
will it take for your money to double.
Answer:
Step-by-step explanation:
Let amount now be x , meaning principal is x
and the amount later A is 2x
A = P(1+r/n)^nt
n = 12
2x = x (1 + 0.06/12)^12t
divide through by x
2 = (1+ 0.005)^12t
2 = (1.005)^12t
Take log of both sides
log 2 = 12t log 1.005
12t = log2/log 1.005
12t = 138.975721610697
t = 138.975721610697/12
t = 11.58
t = 12 years
please Helps it’s urgent
Answer:
<1 and <3
Step-by-step explanation:
They are both symmetric
At a store, a hat has a regular price of x dollars. During a sale, the price of the hat is discounted by 20%. The expression 0.8x describes the discounted price, in dollars, of the hat. Which expression also describes the discounted price, in dollars, of the hat? A. 0.2x
B. x–20
C. x–0.2
D. x–0.2x
Can someone explain why is D correct ?
Answer:
Step-by-step explanation:
x-.20x
Lets say the hat cost $100
x=100
multiplying 100 by 20% which is .20 yields $20
S0 $20 is the discount which we subtract from the original price
100-20 and get the sale price of $80
They use a shortcut so you don't have to do the subtracting of the discount
They say if the price is being discounted subtract the discount from 1 and multiply that by the original amount
So in this case the discount percent was 20% = .20
Subtracted from 1
1-.20=.80
Since x is the original price we multiply x by the .80 to get
.80x
Greg has a bag that contains 25 colored tiles. Of all the tiles in this bag, 10 are blue. Suppose another bag contains 250 colored tiles. Of all the tiles in this bag, 75 are blue. From which bag is Greg less likely to pick a blue tile? Explain.
Answer:
he is less likely to pick a blue tile in the second bag
Step-by-step explanation:
divide 10 by 25 which will give you 40%
divide 75 by 250 which will give you 30%
this makes it less likely for Greg to pick blue from the second bag, as the first bag has a higher percentage chance