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.
Prepare a mixture of 100g of 8% cream into 200g of 3% cream. What is the resulting concentration?
Answer:
14=300X
X=14/300
X=.04667 OR 4.67%
Step-by-step explanation:
100*.08+200*.03=(100+200)X
8+6=300X
14=300X
X=14/300
X=.04667 OR 4.67% SOLUTION ANS.
If this process is wrong, let me know
What’s 28,561 in expanded form
Step-by-step explanation:
2×10,000 + 8×1000 + 5×100+6×10+1
The perimeter of a triangle is 53 in. The shortest side is 10 in. less than the longest side. The middle side is 19 in. less than the combined lengths of the
shortest and longest sides. Find the lengths of the three sides.
9514 1404 393
Answer:
shortest: 13 inmiddle: 17 inlongest: 23 inStep-by-step explanation:
Let s represent the shortest side. Then the longest side is (s+10) and the middle side is (s+(s+10)-19). The perimeter is the sum of the sides.
s + (2s-9) +(s+10) = 53
4s +1 = 53
s = (53 -1)/4 = 13
The side lengths are ...
shortest: 13 inmiddle: 17 inlongest: 23 inChristine made $143 for 11 hours of work.
At the same rate, how many hours would she have to work to make $221?
Answer:
17
Step-by-step explanation:
The graph of y=⅔ x - 12 intersects the y-axis at Q (0, -12) and is perpendicular to a line joining Q to the point P ( x , 0). Find x
Is y=1/2x+7 a function
name the following geometric figures in as many ways as you can.
•————•
X W
•————•
X W
This is called as line segment XW. The 2 dots at the ends indicate that the line segment has a starting point & an end point.
______
RainbowSalt2222 ☔
35 if the answer is correct
Answer:
A.
Step-by-step explanation:
The attached graph has a y-intercept of -1 and a slope of 2, as the equation says it must.
__
The equation is in slope-intercept form, where the coefficient of x is the slope of the line. That is, the ratio of "rise" to "run" is 2: the line rises 2 grid squares for each grid square it runs to the right.
[tex]\tiny \displaystyle \bf \red{\int^{3}_{1} \int^{3}_{1} \int^{3}_{1} \int^{3}_{1} \frac{ \alpha + \beta + \gamma + \theta - \eta}{\alpha + \beta + \gamma + \theta + \eta} \: d \alpha d \beta d \gamma d \theta d \eta}[/tex]
Cʜᴀʟʟᴇɴɢᴇ❤️❤️❤️❤️❤️
Step-by-step explanation:
[tex]\displaystyle \sf \red{I=\int^{3}_{1} \int^{3}_{1} \int^{3}_{1} \int^{3}_{1} \frac{ \alpha + \beta + \gamma + \theta - \eta}{\alpha + \beta + \gamma + \theta + \eta} \: d \alpha d \beta d \gamma d \theta d \eta}[/tex]
According to symmetry[tex]\displaystyle \sf \red{I=\int^{3}_{1} \int^{3}_{1} \int^{3}_{1} \int^{3}_{1} \frac{ \alpha + \beta + \gamma - \theta + \eta}{\alpha + \beta + \gamma + \theta + \eta} \: d \alpha d \beta d \gamma d \theta d \eta}[/tex]
[tex]\displaystyle \sf \red{I=\int^{3}_{1} \int^{3}_{1} \int^{3}_{1} \int^{3}_{1} \frac{ \alpha + \beta - \gamma + \theta + \eta}{\alpha + \beta + \gamma + \theta + \eta} \: d \alpha d \beta d \gamma d \theta d \eta}[/tex]
[tex]\displaystyle \sf \red{I=\int^{3}_{1} \int^{3}_{1} \int^{3}_{1} \int^{3}_{1} \frac{ \alpha - \beta + \gamma + \theta + \eta}{\alpha + \beta + \gamma + \theta + \eta} \: d \alpha d \beta d \gamma d \theta d \eta}[/tex]
[tex]\displaystyle \sf \red{I=\int^{3}_{1} \int^{3}_{1} \int^{3}_{1} \int^{3}_{1} \frac{ - \alpha + \beta + \gamma + \theta + \eta}{\alpha + \beta + \gamma + \theta + \eta} \: d \alpha d \beta d \gamma d \theta d \eta}[/tex]
Take sum of 5 integrals[tex]\displaystyle \sf \green{5I=\int^{3}_{1} \int^{3}_{1} \int^{3}_{1} \int^{3}_{1} \frac{ 3(\alpha + \beta + \gamma + \theta + \eta)}{\alpha + \beta + \gamma + \theta + \eta} \: d \alpha d \beta d \gamma d \theta d \eta}[/tex]
[tex]\displaystyle \sf \pink{5I=3\int^{3}_{1} \int^{3}_{1} \int^{3}_{1} \int^{3}_{1} \: d \alpha d \beta d \gamma d \theta d \eta}
[/tex]
[tex]\large \sf \green{5I=3( {2)}^{5} }[/tex]
[tex]\large \sf \pink{I={ \frac{96}{5} }^{} }[/tex]
Answer:
I = 96/10 = 96:10 is your correct answer.
Write in word form: 5,278.081
Answer:
.............................
What is tan(50)?
-.57
5.88
2.36
1.19
Answer:
1.19
Step-by-step explanation:
tan 50 degrees is the value of tangent trigonometric function for an angle equal to 50 degrees .. the value of 50 degrees is approximately 1.1918
Use the Pythagorean Theorem to find the missing length and then round the
result to the nearest tenth.
a = 7, b = 7, C =
Answer:
C (Hypotenuse) = 9.9
Step-by-step explanation:
Given the two sides of a triangle, where a = 7, and b = 7:
We can use the Pythagorean Theorem where it states: c² = a² + b².
Substitute the given values into the Pythagorean Theorem to find the length of the hypotenuse.
c² = a² + b²
c² = 7² + 7²
c² = 49 + 49
c² = 98
[tex]\LARGE\mathsf{\sqrt{c^2}\:=\:\sqrt{98}}[/tex]
c = 9.89 or 9.9
Therefore, the length of the hypotenuse is 9.9, making the given triangle an isoceles triangle with two equal sides.
If the legs of each triangular base are 5 cm and 3 cm and the height of the prism is 4 cm, what
are the coordinates of the vertices of the prism?
The coordinates of the six vertices of the prism are listed below:
[tex](x_{1},y_{1}, z_{1}) = (0, 0, 0)\,[ft][/tex] [tex](x_{2}, y_{2}, z_{2}) = (0, 0, 5)\,[ft][/tex] [tex](x_{3}, y_{3}, z_{3}) = (3, 0, 0)\,[ft][/tex] [tex](x_{4}, y_{4}, z_{4}) = (0, 4, 5)\,[ft][/tex] [tex](x_{5}, y_{5}, z_{5}) = (0, 4, 0)\,[ft][/tex][tex](x_{6}, y_{6}, z_{6}) = (3, 4, 0)\,[ft][/tex]The number of vertices of a prism with a polygonal base ([tex]n[/tex]) is described by the following expression:
[tex]n = 2\cdot s[/tex] (1)
Where [tex]s[/tex] is the number of sides of the base.
If we know that [tex]s = 3[/tex], then the number of vertices of the prism are:
[tex]n = 2\cdot 3[/tex]
[tex]n = 6[/tex]
A prism with triangular base has six vertices, let suppose that the triangle of the base is right-angled. and coincides with a right-hand rectangular coordinate system. Then, we can conclude that the coordinates of the six vertices are the following:
[tex](x_{1},y_{1}, z_{1}) = (0, 0, 0)\,[ft][/tex] [tex](x_{2}, y_{2}, z_{2}) = (0, 0, 5)\,[ft][/tex] [tex](x_{3}, y_{3}, z_{3}) = (3, 0, 0)\,[ft][/tex] [tex](x_{4}, y_{4}, z_{4}) = (0, 4, 5)\,[ft][/tex] [tex](x_{5}, y_{5}, z_{5}) = (0, 4, 0)\,[ft][/tex][tex](x_{6}, y_{6}, z_{6}) = (3, 4, 0)\,[ft][/tex]We kindly invite to check this question on prisms: https://brainly.com/question/8828506
Evaluate 12.3v+11.9w when v=7 and w=8.
please
Answer:
181.3
Step-by-step explanation:
I hope this helps!
-
What are the odds of winning a game, if the probability of winning the game is 4/10
Answer:
40%
Step-by-step explanation:
4/10 = 40/100
40/100 as a percentage is 40%
The following formula gives the circumference C of a circle with radius r.
C=2πr
Find the circumference of a circle with radius 20
Answer:
The answer is 125.6
Step-by-step explanation:
C= 2x3.14x20
C=6.28x 20
C= 125.6
A pair of Beats Wireless Headphones normally cost $299.99. They are on sale for $229.99. Find the percent of markdown.
Answer:
$159.99
Step-by-step explanation:
Jasmine wants to make more cleaning solution
Answer:
here
Step-by-step explanation:
Method 1 Method 1 of 3: Making Liquid Cleaners
Mix equal parts water and vinegar in a spray bottle. Use distilled white vinegar and, if possible, distilled or filtered water.
Add lemon juice to disinfect surfaces. Mix one part lemon juice, one part white vinegar and two parts water in a spray bottle.
Add dish soap for persistent stains on carpet. ...
Tackle tough stains and grime with undiluted vinegar. ...
What is the distance between the coordinates (9, -2) and (9, 8) please helppp
According to the concept of tragic hero, can we consider the happy prince and the swallow tragic heroes?
Answer:
Both Prince and swallow were alike because both were kind, fully sympathy for the needy and suffering people. Both gave all which was there with them. the swallow gave his own life by carrying out all the errands commanded by the Prince.
Step-by-step explanation:
Elena has $84, and Priya has $12. How much money must Elena give to Priya so that Priya will have three times as much as Elena? Create an equation to represent the problem, and solve for how much Elena must give Priya. (Use x as your variable).
Step-by-step explanation:
$84 $12 use x as your variable then cross multiply and the answer u get is us variable
A flight from Boston to London took only 5 hours because of a strong tailwind. The flight back to Boston against the same wind took 6 hours. What was the speed of the wind if the speed of the plane in still air is 550 mph?
Step-by-step explanation:
let v is the speed of the wind,
the equation of the speed:
(550 + v ) × 5 = (550 - v) × 6
2750 +5v = 3300 - 6v
11v = 3300 - 2750
11v = 550
v = 550/11
v = 50
therefore, the speed of the wind =
50 mph
Step-by-step explanation:
v = speed of the wind5(550 + v) = 6(550 - v)
2.750 + 5v = 3.330 - 6v
5v + 6v = 3.300 - 2.750
11v = 550
v = 550 ÷ 11
v = 50mph
how do I solve this?
Its g is increasing
I guess you could just plug in 0, 1 and -1 and graph it.
what's the lcm of 24 and 30
Answer:
120
Step-by-step explanation:
The LCM of 24 and 30 is 120. To find the least common multiple (LCM) of 24 and 30, we need to find the multiples of 24 and 30 (multiples of 24 = 24, 48, 72, 96 . . . 120; multiples of 30 = 30, 60, 90, 120) and choose the smallest multiple that is exactly divisible by 24 and 30, i.e., 120.
The graph of function f is shown below. Find f(-4)
Answer:
pls give the correct question the question is not correctWhich algebraic expression is equivalent to this expression?
6(22 - 12) + 63
Help me please!!
The numerical value of this algebraic expression is 123
Step-by-step explanation:To solve this algebraic expression, we're going to subtract the numbers indicated in parentheses, and finally, we're going to multiply and add the numbers.
Resolution:[tex]\large \sf =6(22 - 12) + 63[/tex]
[tex]\large \sf =6(10) + 63[/tex]
[tex]\large \sf =60 + 63[/tex]
[tex]\boxed{\boxed{{\large \sf 123}}}[/tex]
Therefore, we can conclude that the numeric value of this expression will be 123
Brainliest if correct 
Answer:
a b
They both are a type of currency from different countries in order to purchase things
Helpppppppppppppppppppppppppppp
Answer:
look at the photo...............Một đoạn dây kim loại dài 10m được cắt thành hai phần, một phần được gấp lại
thành hình vuông và phần còn lại gấp thành tam giác đều. Chỉ ra cách cắt sợi dây để
diện tích tổng cộng hai hình:
a) Lớn nhất?
b) Nhỏ
nhất?
Answer:
L spedd
Step-by-step explanation:
The points in the table lie on a line. Find the slope of the line
Answer:
click the button and use it as and use it
