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.
If 1,600 divided by n = 4, what is the value of n?
A 40
B 400
C4,000
D40,000
Answer:
B) 400
Step-by-step explanation:
To find the value of n, you would have to divide 1600 by 4. 1600/4=400.
Answer:
400
Step-by-step explanation:
1600 4
A baseball pitcher has made 53 pitches in the first four innings of a baseball game and plans to pitch 3 mote innings. The manager of the team has committed to allowing his pitcher to throw, at most, pitches during the game. Write an inequality to find the average number of pitches the pitcher can throw over the next three innings Solve the inequality from Part 1. What is the maximum number of pitches the pitcher can make in cach of the next 3 innings ? Graph your solution from Part 2 on a number line and explain what your solution means. If the pitcher threw just 6 pitches in the fifth inning, what is the greatest number of pitches the pitcher can throw per inning he wishes to pitch nine innings? Write and solve an inequality to answer this part.
Answer:
at most 17 pitches per inning
Step-by-step explanation:
It is given that a baseball pitcher makes 53 pitches in the first 4 innings of a game and plans to pitch in the next 3 innings.
We need to write and solve an inequality to find the possible average pitches per inning the pitcher made in the next 3 innings if the pitcher is assigned a maximum of 105 pitches.
From part (a) we know 3 p + 53 3p+53 represents the total number of pitches made if the pitcher makes an average of p pitches per inning in the next 3 innings.
If the pitcher can make at most 105 pitches, then:
3 p + 53 ≤ 105 3p+53≤105
To solve the inequality, first subtract 53 on both sides of the inequality to isolate the variable term:
3 p + 53 − 53 ≤ 105 − 53 3 p ≤ 53
3p+53≤105 [tex]p\leq 17\frac{1}{3}[/tex]
at most 17 pitches per inning
(Hope this helps can I pls have brainlist (crown)☺️)
A box of the Tic Tacs contains 44 of the 1 1/2- calorie flavored breath mints. How many calories are there in a box of Tic Tacs?
Answer:
66
forty-four times 1.5 equals 66
s2=16, what is this?
Answer:
s= 4,-4
Step-by-step explanation:
cuanto es 3/5 menos 1/2
Answer:
1/10
Step-by-step explanation:
(3/5) - (1/2)
3/5 = 3*2/ 5*2 = 6/10
1/2 = 1*5/ 2*5 = 5/10
(6/10) - (5/10)
= (6-5) / 10
= 1/10
31 divided by 943.89
Answer:
0.032
Step-by-step explanation:
Answer: 0.03284281007
Step-by-step explanation:
(2m-3)(2m+3)(4m^2+9)
Answer:
16[tex]m^{4}[/tex]−81
Step-by-step explanation:
Hope this is correct and it helps :)
The average of 5 consecutive whole numbers is 2021. What is the average of the first 3 of these numbers? please help me
Answer:
2020
Step-by-step explanation:
if it is 5 consecutive numbers, it means it needs to be 2019, 2020, 2021, 2022, 2023
it is the number in the middle.
for the first 3 numbers, it is 2019, 2020, 2021
the middle number is 2020
There are four goldfish and six guppies in a fish tank. What is the ratio of the guppies to goldfish in the tank? Write your answer in simplest form if possible
Answer:
2:3
Step-by-step explanation:
4 goldfish
6 guppies
ratio sign is :
4:6
simplyfy
2:3
Answer:
2:3
Step-by-step explanation:
4:6 ratio simplified is 2:3
A company that manufactures small canoes has a fixed cost of $24,000. It costs $80 to produce each canoe. The selling price is $160 per canoe. (In solving this exercise, let x represent the number of
canoes produced and sold.)
a. Write the cost function.
C(x) = 150 (Type an expression using x as the variable.)
Answer:
C(x)=2400 - 80x
Step-by-step explanation:
since 24000 is a fixed cost, lets put it was the y-intercept (the cost when no canoes are produced and sold). next subtract 160 from 80 to get the amount of cost gained for every canoe produced and sold. this value is -80, it is negative since the company is earning a profit for every canoe produced and sold. now you have your equation: C(x) = 2400 - 80x
please help, im literally so tired
Answer:
sameee lol
Step-by-step explanation:
In order to join the next yoga class at the YMCA, you must pay a $50 annual fee, then $4 for each class you attend. How many classes can you attend if you budget to spend $98.00 that year on Yoga?
Answer:
12 Yoga classes
Step-by-step explanation:
50 + 4x = 98
Subtract 50 on each side
4x = 48
Divide by 4 on each side
x= 12
You can attend 12 yoga classes in a year with a $98 budget.
Bruno's Burgers has a cook to server ratio of 2 to 5. The total number of servers and cooks is 42. How many more servers does Bruno's Burgers employ than cooks?
Answer:
18
Step-by-step explanation:
2 to 5 2+5=7 42/7=6
6x2=12. cooks
6x5=30 servers
servers subtracted by cooks equals difference
30-12=18
PLEASE HELP
Create a cubic function that is not the parent function.
Explain how to graph your cubic function using transformations from the parent function. Be specific in your response and use correct mathematical language.
[tex]y = x^{3} + 2[/tex]
[tex]y = g(x) + c[/tex]
Here, [tex]g(x) = x^{3}[/tex] and [tex]c = 2[/tex], the parent function is [tex]g(x)[/tex]. Because [tex]c > 0[/tex], the graph undergoes a vertical shift 2 units up along the y-axis.
1) The cubic function is [tex]x^3+1[/tex] and the parent function is [tex]x^3[/tex].
2) The transformation from parent function to function is vertical stretch.
A cubic function is a polynomial function of degree 3. So the graph of a cube function may have a maximum of 3 roots. i.e., it may intersect the x-axis at a maximum of 3 points.
The general form of the cubic function is [tex]ax^3+bx^2+cx+d=0[/tex], where a, b, c and d are real numbers.
Let the cubic function be [tex]x^3+1[/tex] and the parent function be [tex]x^3[/tex].
To find the transformation, compare the function and check to see if there is a horizontal or vertical shift, reflection about the x-axis or y-axis and if there is a vertical strech.
Horizontal shift: None
Vertical shift: Up 1 units
Reflection about the x-axis: None
Reflection about the y-axis: None
Vertical Compression or Stretch: None
Therefore,
1) The cubic function is [tex]x^3+1[/tex] and the parent function is [tex]x^3[/tex].
2) The transformation from parent function to function is vertical stretch.
To learn more about the cubic function visit:
https://brainly.com/question/28051275.
#SPJ3
Which sentence uses correct subject-verb agreement?
A. The river through our cities are polluted
B. Mountains in Colorado is beautiful.
C.The book about South American rivers is overdue.
D. The trees around our state is blooming.
Answer: C
Step-by-step explanation: the guy up top is correct:)
Will be giving brainliest! Have a good day and you’ll get through it !
Answer:
ok you to !!!!!!!!! good night!!
Step-by-step explanation:
(PLEASE HELP ME I NEED THIS VERY QUICKLY)
find the value of x in the rhombus
Answer:
1/2 and -5/2
Step-by-step explanation:
Assuming all sides are equal just put the equations equal to each other and solve
Find the Solution in the Interval [0,2 pi]
tan(theta/7)+ square root3= 0
9514 1404 393
Answer:
no solution
Step-by-step explanation:
The solutions to the equation are ...
tan(θ/7) +√3 = 0
tan(θ/7) = -√3
θ/7 = arctan(-√3) +nπ . . . . . . . for integer n
θ = 7(-π/3 +nπ) = 7π(n -1/3)
For n=0, θ = -7π/3 -- not in the required interval.
For n=1, θ = 14π/3 -- not in the required interval.
There are no solutions in the required interval.
82.1 / 7.8= What is the answer yall
Answer:
10.5
Step-by-step explanation:
Hope I helped please mark brainliest if I did and thanks! <3
One thousand dollars is deposited into an ordinary annuity after each 6 month period for 2 years. The account pays 4 percent interest compounded semiannually.what is the future value of the account in 2 years ??
Answer:
$4121.61
Step-by-step explanation:
Use the formula for the balance of an ordinary annuity.
A = P((1 +r/n)^(nt) -1)/(r/n)
A = $1000((1 +.04/2)^(2·2) -1)/(.04/2) ≈ $4121.61
The future value of the account is $4121.61.
Two angles of a quadrilateral measure 325° and 10°. The other two angles are in a ratio of 2:3. What are the measures of those two angles?
Answer:
The answer is 60 and 80
Step-by-step explanation:
PLS HELP FIND GRADIENT PLSSS DUE TMRW GIVING BRAINLIEST FOR FIRST ANSWER
Whats the question?......................
Answer:
For a;
The answer will be 3
For b;
The answer will be -4
Step-by-step explanation:
To find the gradient of the lines, you must pick 2 points on the line and then find [tex]dy/dx[/tex]
I hope this helped!
Can I have brainliest?
Have a great day/night/afternoon!
(I already went to the other question you posted, do not worry.)
- ❤ 7272033Alt ❤
the value of 3 1/5 - 1 2/3 is?
please write the answer with sums and explanations
anyone with the correct answer will be given 10-20 points and will be marked as Brainliest
note: it's not 31 or 12 it's seperated
QUESTION :-
The value of 3 1/5 - 1 2/3ANSWER :-
[tex] = > \: \frac{16}{5} \times \frac{5}{3} \\ [/tex]Take Lcm by the denominator ( check the pic )
[tex] = > \: ( \frac{16 \times3 }{5 \times 3} ) \: = \: \frac{48}{15} [/tex][tex] = > \: ( \frac{5 \times 5}{3 \times 5} ) \: = \: \frac{25}{15} [/tex]Now subtract this
[tex] \frac{48}{15} - \frac{25}{15} = \: \frac{23}{15} [/tex]So , now ur ans is :-[tex] \frac{23}{15} [/tex]
=================================================
Answer:[tex] \large\rightarrow \tt 1 \frac{8}{15}[/tex]
=================================================
Explanation/Solution:To solve the problem, let's find the LCM or Latest Common Multiple.
[tex]\tt5 \underline{ | \tt5, \: 3} \\ \tt3 \underline{ \tt |1, \: 3} \\ \: \: \: \: \tt1, \: 1[/tex]
[tex] \rightarrow [/tex] LCM = 5 x 3 = 15
[tex] \\ [/tex]
Since the LCM is already finished let's solve for the both numerator and denominator.
[tex]\rightarrow \: \tt3 \frac{1 \times 3}{5 \times 3} = 3 \frac{3}{15} \\ \\ \rightarrow \: \tt1 \frac{2 \times 5}{3 \times 5} = 1 \frac{10}{15} [/tex]
Since both of the fractions cannot be subtracted from each other, then let's make it to a improper fraction.
[tex] \rightarrow \: \tt3 \frac{3}{15} = 3 \times 15 + 3 = \frac{48}{15} \\ \\ \rightarrow \: \tt1 \frac{10}{15} = 1 \times 15 + 10 = \frac{25}{15} [/tex]
Now its time to subtract.
[tex]\rightarrow \: \tt \frac{48}{15} - \frac{25}{15} = \frac{23}{15} \: \: or \: \: 1 \frac{8}{15} [/tex]
Therefore, the answer is 1 8/15.
=================================================
[tex] \underline{{\sf \: \: \#CarryOnLearning! \: \:}} [/tex]
Jaxon borrowed some money from his friend in order to help buy a new video game system. Jaxon agreed to pay the friend back some amount every week until his loan was paid off. Let L represent the amount Jaxon owes his friend after tt weeks. A graph of L is shown below. Write an equation for L then state the x-intercept of the graph and determine its interpretation in the context of the problem.
Answer:
L = -2t + 10, (5,0) the interpretation of the x-intercept in the context of the problem is the week that Jaxon owes no more money
Step-by-step explanation:
so we have L=mt+b with m being the slop and b being the y-intercept. the y-intercept is found by looking at what L is when t=0. when t=0, L=10 so b=10. now we have L=mt + 10. to find slop figure out rise/run. every 1 increase in t, L decreases 2 units. this is -2/1 or -2 so m=-2. so the graph is L = -2t + 10
the x- intercept is the t value when L=0, looking at the graph, when L=0, t=5, so the x-intercept is at (5,0)
which number will reach if we move 6 steps to the right -3
Answer:
If you meant -3 + 6, then the correct answer is 3.
You should put some extra effort in composing questions with all the required information, like a picture maybe.
Answer:
your answer has to be 3
Step-by-step explanation:
if you were to move to the right in number line you have to add so -3+6 is equals to 3
The difference of twice a number and 8 is greater than 17.
Use the variable x for the unknown number.
For the difference of a number and 3, you should do b-3 and twice that would be 2(b-3). For this to be at most -23, the inequality would be ≤. Thus,
2(b-3)≤-23
is the answer.
Answer:
2x-8>17
2x>25
x>12.5
What does it mean to say that a function is linear?
Select all that apply.
A. The function has a graph that includes the point (0,0).
B. The function can be described by an equation of the form y = mx + b.
C. The function has a constant rate of change.
D. The function has a straight-line graph.
| E. The function has a rate of change that increases.
A function is linear if:
B. The function can be described by an equation of the form y = mx + b.
C. The function has a constant rate of change.
D. The function has a straight-line graph.
A function is said to be linear if it is a straight line graph and it can be represented by the equation:
y = mx + b
where y, x are variables, m is the rate of change and b is the initial value of y.
A linear function has a constant rate of change (either increasing or decreasing).
Find out more at: https://brainly.com/question/21835898
Help me please guys hurry!!!
Answer:
1. False 2. 7.11 > -7.1 3. -3 < -1 and -3 <= -1 <= is less than or equal to. 4. m + 7 => 8.2 5. {3, 4} Hope this helps even though I am late!
Step-by-step explanation:
Find the sum of this problem.
Answer:
34
Step-by-step explanation:
i think
A car travels a distance of 7575 meters in a time of 25 hours. What is the car's speed?
Answer:
303 miles per hour
Step-by-step explanation: