Answer:
The length of the track is approximately 51.7 ft
The track has three sides of the square and the distance round a half of a complete circle
Step-by-step explanation:
The given track shape and measurements are;
The shape on the left side of the track = Square
The shape on the right side of the track = Half circle
The area of the square on the the left side of the track = 128 square feet
Therefore, from the area, A, of a square of side length, s, which is s × s, and letting the side length of the square = s, we have;
Area of the square portion of the track = s × s = s² = 128 ft²
Therefore, s = √(128 ft²) = 8·√(2) ft.
Whereby the side length of the square is bounded by the diameter of the half circle, we have;
Length of the diameter of the half circle = s = 8·√(2) ft.
The length of the perimeter of the half circle = π·D/2 = π × 8·√(2)/2 = π × 4·√(2) ≈ 17.77 ft.
The perimeter of the track, which is the length of the track is made up of the three sides of the square opposite to the half circle and the circumference of the half circle.
Therefore;
The length of the track = 3 × 8·√(2) ft + π × 4·√(2) ft. = 4·√2×(π+6) ≈ 51.7 ft
The length of the track ≈ 51.7 ft
Which gives;
The track has three sides of the square and the distance round a half of a complete circle.
Problem 3: If a single six-sided die is rolled five times, what is the probability that a six is thrown exactly three times
Answer:
So the probability that a die thrown 5 times will result in a 6 exactly 3 times is 0.03215.
Step-by-step explanation:
HOPE IT HELPS I'M FILIPINO STUDENTS
Find the value of [tex]$6+\frac{1}{2+\frac{1}{6+\frac{1}{2+\frac{1}{6+\cdots}}}}$.[/tex] Your answer will be of the form [tex]$a+b\sqrt{c}$[/tex] where no factor of $c$ (other than $1$) is a square. Find $a+b+c$.
Let
[tex]x = 6 + \dfrac1{2 + \dfrac1{6 + \dfrac1{2 + \cdots}}}[/tex]
Then
[tex]x = 6 + \dfrac1{2 + \dfrac1x}[/tex]
and solving for x gives
[tex]x = 6 + \dfrac x{2x + 1}[/tex]
[tex]x = \dfrac{13x + 6}{2x + 1}[/tex]
[tex]x(2x+1) = 13x + 6[/tex]
[tex]2x^2 + x = 13x + 6[/tex]
[tex]2x^2 - 12x - 6 = 0[/tex]
[tex]x^2 - 6x - 3 = 0[/tex]
By the quadratic formula,
[tex]x = 3 \pm 2\sqrt{3}[/tex]
but x must be a positive number, so only the positive square root solution is valid.
[tex]x = 3 + 2\sqrt{3}[/tex]
We identify a = c = 3 and b = 2, so a + b + c = 8.
Can someone help me please
Answer:
$750
Step-by-step explanation:
100% rep $2500
10% rep $250
30% rep $750
Answer: $750
Step-by-step explanation: If Sonya spent 30% of her total money spent on rent, this means that she spent 30% * 2500 this month. In other words, she spent 0.3 * 2500 or $750.
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60% of students at a local high school participate in club activities. Rewrite this percent as a fraction
Answer:
The correct answer is 3/5
Step-by-step explanation:
I know its correct :)
Find a polynomial F of X of degree four that has the following zeros. 7, -3, 0, 4 leave your answer in Factored form
Answer:
f(x) = (x - 7)(x + 3)(x)(x - 4)
Step-by-step explanation:
It's just like the roots of a quadratic but with more factors
f(x) = (x - 7)(x + 3)(x)(x - 4)
Please verify how [tex]\frac{1-cos(x)}{sin(x)} =\frac{sin(x)}{1+cos(x)}[/tex]
Answer/Step-by-step explanation:
[tex]\frac{1-\cos \left(x\right)}{\sin \left(x\right)}=\frac{\sin \left(x\right)}{1+\cos \left(x\right)}[/tex]
When you have an equation like this, you can start from either side. So, let us start from the left side.
[tex]\underline{\mathrm{Left\:side:}} \quad\frac{1-\cos \left(x\right)}{\sin \left(x\right)}[/tex]
[tex]\sf{Rewrite\: using \:Trig \:identities=\frac{\sin \left(x\right)}{1+\cos \left(x\right)}}\\\\\mathrm{Therefore,\: it \:is \:true}[/tex]
5x + 3y = 4; solve for x.
Answer:
x= - 3/5y +4/5
Step-by-step explanation:
isolate x:
5x+ 3y= 4
5x= -3y+ 4
x= -3/5y +4/5
In a survey, 13 people were asked how much they spent on their child's last birthday gift. The results were roughly bell-shaped with a mean of $50 and standard deviation of $14. Construct a confidence interval at a 98% confidence level.
Answer:
21
Step-by-step explanation:
9 ⋅ (−4) ⋅ (−4) ⋅ (−7) = ?
20 pts
brainlyiest if correct
Answer:
The answer is -1008, it's in the comments
What is the value of x?
Answer:
Step-by-step explanation:
45
Answer:
x=44°
Step-by-step explanation:
It's an Isosceles triangle, it has two equal sides (DC=CE) so also its two equal angles of 44 degrees
Hope this helps
Rico opens an ice cream shop. The function f ff models the shop's net worth (in thousands of dollars) as a function of time (in months) after Rico opens it. Plot the point on the graph of f ff that corresponds to the shop's net worth when Rico opens it.
Answer: -5
Step-by-step explanation:
Based on the graph given, the point that on the graph that corresponds with the shop's net worth when Rico opened it is -5.
What was the shop worth when it was opened?The point that the shop was opened is represented by the value of the y axis when it was first crossed.
Looking at the graph, the line first intercepted the y axis at -5 which means that this was the shop's net worth when it was opened by Rico.
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I have 4 groups . After I dived Ed them into groups there were 6 groups 0f 4 and 1 group of 3. How many students were in the class ? Show all your work.
Answer: 27 students
Step-by-step explanation: 6 x 4 = 24
24 + 3 = 27
Answer:
27 Students in the class
Step-by-step explanation:
First we have to find out how many people are in the 6 groups of 4. 6x4=24
And of course 1 group of 3 people. Add them together to get 27 people.
24+3=27
...........................
Answer:
i think its c
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
because -100,-57/8,6
the absolute value of -6 is 6 and
-8 7/8 is 8×(-8)+7=-64+7/8=-57/8 because when negative plus positive we subtract and we take the sign of the larger number
Latisha works x hours each day. Demetrius works 1 more hour each day than Latisha. Which expressions both calculate the number of hours Demetrius works in a 5-day work week? 5 x + 1 and 5 ( x + 1 ) 5 x plus 1 and 5 times open paren x plus 1 close paren ( x + 1 ) × 5 and 5 × x + 1 open paren x plus 1 close paren times 5 and 5 × x + 1 5 ( x + 1 ) and 5 x + 5 5 times open paren x plus 1 close paren and 5 x plus 5 ( x + 1 ) × 5 and 5 + ( x × 1 )
The number of hours worked by both Latisha and Demetrius is; 5x + 5(x+1)
According to the question:
We are required to generate an expression that can be used to calculate the number of hours used to work by Latisha and Demetrius.Since Latisha works x hours per day; In 5 days she works 5x hours.Demetrius works 1 more hour each day than Latisha; In 5 days; she must have worked; 5(x +1) hours.The sum of both of them gives; 5x + 5(x +1).
Read more:
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Help please!!!!!!!!!!!!!!
Answer:
Negative
Step-by-step explanation:
Slope is negative since as x increases, y decreases.
If a cooler contains six cola, two grape, two orange, and four lemon-lime sodas, what is the probability of selecting a cola, giving it to your friend, then selecting another cola for yourself?
Answer:
ok so first of all there is 14 sodas in the cooler(6+2+2+4)
and 6 of these 14 are cola 6/14 or 3/7
so 3/7 then to give your self one we multiple it by 3/7
3/7*3/7=0.18367346938
we multiple by 10
18.367346938
so the probility is 18.37%
Hope This Helps!!!
What is the value of m
35.6 355⅝5555555555555555555545455555555
You are traveling in a car. Your speed is 40 miles per hour. What is your speed in feet per minute?
You are traveling in a car. Your speed is 40 miles per hour. What is your speed in feet per minute?
You are traveling in a car. Your speed is 40 miles per hour. What is your speed in feet per minute?
You are traveling in a car. Your speed is 40 miles per hour. What is your speed in feet per minute?
You are traveling in a car. Your speed is 40 miles per hour. What is your speed in feet per minute?
You are traveling in a car. Your speed is 40 miles per hour. What is your speed in feet per minute?
You are traveling in a car. Your speed is 40 miles per hour. What is your speed in feet per minute?
You are traveling in a car. Your speed is 40 miles per hour. What is your speed in feet per minute?
You are traveling in a car. Your speed is 40 miles per hour. What is your speed in feet per minute?
You are traveling in a car. Your speed is 40 miles per hour. What is your speed in feet per minute?
Answer:
58 2/3 fps
Step-by-step explanation:
To convert a speed value from miles per hour to feet per second, multiply it by 5280, then divide by 3600.
40 * 5280 = 211200
211200 / 3600 = 58.6666..... [58 2/3]
5. 3 out of 750 light bulbs is what percent?
Answer:
0.00706666666
Step-by-step explanation:
Please help me please help please please help me
Answer:
3/2
-4
Step-by-step explanation:
y = mx + c
m = slope = y2 - y1 / x2 - x1
= -4 -2 / 0 - 4
= -6/-4
= 3/2
c = y intercept
y when x = 0
c = -4
Answer:
[tex]y = \frac{2 - ( - 4)}{4 - 0}x - 4 \\ y = \frac{6}{4} x - 4 \\ y = \frac{3}{2} x - 4 \\ [/tex]
PLEASE HELP>>>>>
25 POINTS...................
Answer:
y = 2/3x - 9
Step-by-step explanation:
note the slope, then note the y intecept, then plug it into the equation y = mx+b
Answer:
So its d
Step-by-step explanation:
Y intercept is 6, and the slope is 3/2. hope i help! And if it isn't that, its c
PLEASE HURRY
Todd drives 2,365 miles in a month. His average MPG is 20. How much will he pay in gas if gas is $3.12 per gallon?
$368.94
$390
$234
$208.12
Answer:
Should be $368.94
Step-by-step explanation:
hope it helps
please mark brainliest
The total cost of 118.25 gallons of gas is $368.94. Therefore, option A is the correct answer.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given that, Todd drives 2,365 miles in a month and the average is 20 miles per gallon
Now, number of gallons =2,365/20
= 118.25 gallons
So, total cost = 118.25×3.12
= $368.94
Therefore, the total cost of gas is $368.94.
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If f(x) and f^-1(x) are inverse functions of each other and f(x)=2x+5, what is f^-1(4)?
Answer:
4.5
Step-by-step explanation:
We are here given that ,
=> f(x) = 2x - 5
=> y = 2x - 5
Replace x and y with each other .
=> x = 2y - 5
solve for y ,
=> 2y = x +5
=> y = (x+5)/2
=> f-¹(x) = (x+5)/2
Now ,
=> f-¹(4) = 4+5/2 = 9/2 = 4.5
Pythagoras theorem
Please answer will mark BRAINELIST :)
Answer:
Step-by-step explanation:
Since we are to show by Pythagoras that the square will fit inside the circle without touching the edge of the circle , this means that we must find the value of the length of the diagonal of the square using Pythagoras.
For the square to fit in without touching the edge of the circle , this means that the diagonal of the square must be less than the diameter of the circle.
Length of the square is 5cm.
Recall Pythagoras theorem: it states that
the square on the hypotenuse of a right-angled triangle is equal in area to the sum of the squares on the other two sides
= +
= 25 + 25
= 50
Take the square root of both sides , that is
D =
D = X , since 50 = 25 x 2
D = 5
D ≈ 7.07
A washer and a dryer cost $932 combined. The washer costs $82 more than the dryer. What is the cost of the dryer?
Step-by-step explanation:
60. Write the equation of a line through the point (-2,6) with a slope -5.
Answer:
y = - 5x - 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - 5 , then
y = - 5x + c ← is the partial equation
To find c substitute (- 2, 6 ) into the partial equation
6 = 10 + c ⇒ c = 6 - 10 = - 4
y = - 5x - 4 ← equation of line
How many times two odd digits appear in a number when you count from 0 to 999?
The solution is: It occurred 90 times does the digit 5 occur in all the numbers from 100-999 .
What is Arithmetic progression?An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.
For instance, the sequence 5, 7, 9, 11, 13, 15.. . is an arithmetic progression with a common difference of 2.
The nth term of AP : a_n = a + (n – 1) × d
here, we have,
Explanation:
Here, we want to know the number of times the digit occurs
We can solve this with arithemetic progression
The first term here is 105, while the last term is 995
However, the difference between each occurrence is 10
Thus, applying the formula:
T_n = a + (n-1) d
T_n is the last term which is 995
a is the first term which is 105
d is the common difference which is 10
n is the number of terms which we want to calculate
Substituting these values, we have it that:
995 = 105 + (n-1) 10
so, we get,
n = 900/10
=90
Hence, It occurred 90 times does the digit 5 occur in all the numbers from 100-999 .
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complete question:
How many times does the digit 5 occur in all the numbers from 100-999 ?
i literally can't figure out the answer to this, help would be very much appreciated.
(PICTURE INCLUDED BELOW)
Which sequence of transformations will change figure PQRS to figure P′Q′R′S′?
A. Counterclockwise rotation about the origin by 180 degrees followed by reflection about the x-axis
B. Counterclockwise rotation about the origin by 180 degrees followed by reflection about the y-axis
C. Counterclockwise rotation about the origin by 270 degrees followed by reflection about the x-axis
D. Counterclockwise rotation about the origin by 270 degrees followed by reflection about the y-axis
Answer:
B
Step-by-step explanation:
The figure is in quadrant 1. When you do a 180 degree rotation it will out the image diagonally across into quadrant 3. Next reflect across the y-axis to get it in quadrant 4.
A 180 rotation will always end up diagonally across regardless if it is counterclockwise or clockwise.
Answer:
A. Counterclockwise rotation around the origin by 180 degrees followed by reflection around the x-axis.
Step-by-step explanation:
180° would be turning it counterclockwise 2 times. Thus putting it on the points of figure P'Q'R'S'.
Reflecting it across the x-axis would be putting it in the same position as P'Q'R'S'.
This being said, either way you did it, as long as you did it one of the two ways it would become a copy of PQRS. The answer is A.
Hope this helped you. Let me know if I got it correct!
- Abigail (:
Repost
A group of tourists are on a three-day hiking trip. They hike ⅛ of the trail on the first day. On the second day, they hike 4/7 of the remaining distance. On the third day, they hike 1/3 of the remaining distance, plus the final 8 km. How many kilometers long is the trail?
Answer:
you told me to resolve this problem
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
you add the thing then multipy it then do math!
round of the underlined digit in each day decimal number
Answer:
6) 25.57
7) .9
8) don't see a number underlined
Step-by-step explanation: