Answers
Answer:
383.54 m
Step-by-step explanation:
The length of the training track running around the field = circumference of the circle formed by the two semicircles + 2(length of the rectangle)
The two semicircles forms a fill circle with diameter (d) = width of rectangle = 61 m
Length of rectangle (L) = 96 m
π = 3.14
The length of the training track running around the field = πd + 2(L)
Substitute the values
The length of the training track running around the field = 3.14*61 + 2(96)
= 191.54 + 192
= 383.54 m
Related Questions
A science teacher wrote the table of values below.
Amount of Hydrogen vs. pH
Amount of Hydrogen, x
(in moles per liter)
pH, f(x)
One-tenth
1
StartFraction 1 Over 100 EndFraction
2
StartFraction 1 Over 1000 EndFraction
3
StartFraction 1 Over 10,000 EndFraction
4
StartFraction 1 Over 100,000 EndFraction
5
Which function models the data in the table?
f (x) = StartFraction 1 Over x EndFraction, x not-equals 0
f (x) = log StartFraction 1 Over x squared EndFraction, x not-equals 0
f (x) = log StartFraction 1 Over x EndFraction, x not-equals 0
f (x) = StartFraction 1 Over x squared EndFraction, x not-equals 0
Answers
The best function that models the data is f(x) = log StartFraction 1 Over x EndFraction, x not-equals 0
Find the table attached below
From the table shown, we can see that when x = 1/10, f(x) = 1
Similarly when x = 1/100, f(x) = 2
According to the law of logarithm, we can say that:
Log 10 = 1
Log 100 = 2 etc..
Recall that f(x) = 1 when x = 1/10, this means that;
F(x) = log 10
F(x) = log(1/1/10))
F(x) = log(1/x) since x = 1/10
Similarly if f(x) = 2 when x = 1/100
F(x) = log 100
F(x) = log(1/1/100))
F(x) = log(1/x) since x = 1/100 in this case
On a general note, we can conclude that f(x) = 1/x where x is not equal to zero.
Learn more function models at https://brainly.com/question/11989600
Answer:
A
Step-by-step explanation:
The person above said so
f (x) = StartFraction 1 Over x EndFraction, x not-equals 0
Use the drop-down menus to identify the values of the
parabola.
Vertex = (-3, -5), (-2, 0),
(0, 4), or (2, 0)
Domain = x < 0, x > 0, y > 0, or x is a real number
Range = {y| y < 0, 2, 4, or 6}
Answers
Answer:
Vertex= (0,4)
Domain= x: all real number
Range: ( - ∞, 4] or y ≤ 4
OAmalOHopeO
ASAP PLEASE HELP MEEEEEEEEEEEEEEEEE
Answers
Step-by-step explanation:
Relaciona la columna de la izquierda con los elementos asociados al polígono
a) centro
b) lado
c) vértice
d) ángulo interno
e) radio
f) ángulo central
g) apotema
h) ángulo exterior
Answers
Answer:
i dont know
Step-by-step explanation:
bu bu bu
At the performance of Seussical the Musical at your local high school, there are adult tickets and
student/child tickets. You're trying to remember the cost of each to tell your extended family to come see the
musical. Your friend, her mom, and her little sister paid a total of $23 on opening night, and you know that
another family paid $39 for two adults and three students. If 2 is cost of adult tickets and y is cost of student tickets, the two equations for these situations can be written as:
Answers
Answer:
The correct answer is -
x+2y = 23
2x+3y= 39
Step-by-step explanation:
given:
cost of family 1 = 23
number of adults in family one = 1
number of children = 2
cost of family 2 = 39
number of adults in family 1 = 2
number of children = 3
solution:
for the first condition of family one-
In this case, there is only one adult and 2 children and they paid 23 then if the adult cost is x and the children ticket cost is y then
number of adults*x+number of children*y = total cost
1*x + 2*y = 23
x+2y= 23 .......equation 1.
for family two:
In this case, there is two adult and 3 children and they paid 39 then if the adult cost is x and the children ticket cost is y then
number of adults*x+number of children*y = total cost
2*x + 3*y = 39
= 2x+3y = 39....... equation 2
thus, the correct equations are:
x+2y = 23
2x+3y= 39
Likes s and t are perpendicular if the slope of line s is 5 what is the slope of line t?
Answers
Answer:
Gradient of line t is -1/5
Step-by-step explanation:
[tex]{ \sf{m _{s} \times m _{t} = - 1}} \\ { \sf{5 \times m _{t} = - 1 }} \\ { \sf{m _{t} = - \frac{1}{5} }}[/tex]
Because they are perpendicular one will be (+) while the other is (-).
The formula to get the answer is: y=mx+b
Fill in the slope (m)
Fill in the y intercept (b)
The height of a basketball thrown by a 6 foot tall man follows a path defined by the function h(x)= -0.5^(2)+3x+6, where x is the horizontal distance from where it is thrown. How far away from the basket should the player stand in order for the ball to go in the basket (10 feet high) on its way down? Show all work.
Answers
Given:
The height of a basketball is given by the function:
[tex]h(x)=-0.5x^2+3x+6[/tex]
where x is the horizontal distance from where it is thrown.
To find:
How far away from the basket should the player stand in order for the ball to go in the basket (10 feet high) on its way down.
Solution:
We have,
[tex]h(x)=-0.5x^2+3x+6[/tex]
Putting [tex]h(x)=10[/tex], we get
[tex]10=-0.5x^2+3x+6[/tex]
[tex]10+\dfrac{1}{2}x^2-3x-6=0[/tex]
[tex]\dfrac{1}{2}x^2-3x+4=0[/tex]
Multiply both sides by 2.
[tex]x^2-6x+8=0[/tex]
Splitting the middle term, we get
[tex]x^2-4x-2x+8=0[/tex]
[tex]x(x-4)-2(x-4)=0[/tex]
[tex](x-2)(x-4)=0[/tex]
[tex]x=2,4[/tex]
In the given function the leading coefficient is negative, so the given function represents a downward parabola. It means, first the function is increasing after that the function is decreasing.
So, the value of the function is 10 at [tex]x=2[/tex] (its way up) and at [tex]x=4[/tex] (its way down.
Therefore, the player should stand 4 units away from the basket in order for the ball to go in the basket (10 feet high) on its way down.
Given that h(x) = - (x - 1)^2 - 1, write an expression for f(x) in terms of x.
f(x) =
Answers
Answer: f(x) = -(x-1)^2+5
Explanation:
f(x) = h(x) + 6
f(x) = -(x-1)^2 - 1 + 6
f(x) = -(x-1)^2+5
Must click thanks and mark brainliest
Rachel has 37 videos and decides to purchase 2 more each week. Write an equation describing this situation.
Answers
T = 2w + 37
Step-by-step explanation:
Let T represent the total amount of videos Rachel has after w weeks
Rachel already owns 37 videos
She purchases 2 more each week
Therefore, after w weeks, the total amount of videos Rachel has can be represented by the expression:
2w + 37
Then the total after w weeks can be modeled by the equation:
T = 2w + 37
Asha found that a vertical line intersects the graph of x = StartAbsoluteValue y EndAbsoluteValue at two points. What can Asha conclude about x = StartAbsoluteValue y EndAbsoluteValue?
It is a function of x but not a relation.
It is a relation but not a function of x.
It is both a function of x and a relation.
It is neither a function of x nor a relation.
Answers
Answer:
B
Step-by-step explanation:
Answer:
B) It is a relation but not a function of X
Explanation:
What Asha did was the vertical line test. This is a test to see if something is a function or not. Since a function can only have one output per input, if the vertical line intersects twice, it is not a function. However it is still a relation. A relation doesn't have to fit the rule that one output only has one input.
A(-3,3),b(0,1) and c(-1,-4)
Answers
Step-by-step explanation:
domain (-3,0,-1)
range (3,1,4)
Which number is rational?
A. -3 1/2
B. sqrt 5
C. Pi
D. 9.23157 ...
Answers
Answer:D
Step-by-step explanation:
factorise the given number
12
Answers
hope it helps you............
Can someone explain how to do this?
Answers
Dksjsjejejdndnd
The tens digits of a certain two-digit number is 1/3 of the units digit. When the digits are reversed, the new number exceed twice the original number by 2 more than the sum of the digits. Find the original number.
Answers
Answer:
The orginal number is 26.
Step-by-step explanation:
So the units digit can be 3 6 or 9
The tens digit can be 1 2 or 3
So the original number can be 13
31 = 2*13+ (1+3) + 2
31 =? 26 + 4 + 2
This doesn't work. The right side is 32
26
62 = 2*26 + 8 + 2
62 = 52 + 8 + 2
This is your answer.
3 and 9 won't work because 39 is odd and so is 93. The result has to be even.
the radius of a circle is 17m. find its area in terms of pi
Answers
Answer:
[tex]289\pi {m}^{2} [/tex]Step-by-step explanation:
Given,
Radius of a circle = 17m
Therefore,
Area in terms of pi
[tex] = \pi {r}^{2} [/tex]
[tex] = \pi \times 17m \times 17m[/tex]
[tex] = 289\pi {m}^{2} (ans)[/tex]
Answer:
A = 289π m²
Step-by-step explanation:
The area (A) of a circle is calculated as
A = πr² ( r is the radius ) , then
A = π × 17² = 289π m²
Set up the appropriate trigonometric ratio to determine the value of the safety angle.
Answers
Step-by-step explanation:
sin/cos=tan theta.It is the value of the safety angle
easy algebra question below first correct answer gets brainliest
Answers
Answer:
y=-/+ 4 square root 11
Step-by-step explanation:
is the question is 2(y+4)^2=22 then y=7 but if it is 2(y÷4)^2=22?
Does anyone know how to do question b
Answers
Answer: M³+ M³ = M⁹
Step-by-step explanation:
Answer:
m^6
Step-by-step explanation:
Simple rule of addition of indices, a^x + a^y = a^x+y, m^3+3 = m^6
I NEED HELP ASAP!!! i dont understand
Answers
Answer:
b
Step-by-step explanation:
A parabola represents a quadratic equation. For a point called the focus and a line called the directrix, the distance from each point of the parabola to the focus is equal to its distance to the directrix. For example, if the directrix of the parabola was y=0 and the focus was (1,1), the distance between each point on the parabola to (1,1) would be equal to its distance from the line y=0.
For a parabola that has a horizontal axis of symmetry (or when y² is in the equation rather than x²), one way to write its equation is of the form
(y-k)² =4p(x-h), where (h,k) is the vertex. Now, we can try to match up this form with the equation we have,
y² = 24x
(y-k)² = 4p(x-h)
We can start by setting both sides with y equal to each other, as well as both sides containing x
y² = (y-k)²
square root both sides
y = y-k
k=0
24x = 4p(x-h)
divide both sides by 4
6x = p(x-h)
expand
6x = p*x - p*h
Because p*h does not contain an x value, we can say
6x = p * x
p = 6
6x = p*x - p*h
6x = 6x-6*h
subtract 6x from both sidex
6*h=0
h=0
Our equation is thus
y= 4(6)(x), with our vertex being (0,0) = (h,k)
The directrix is equal to x=h-p, and with p being 6, our directrix is thus
x=0-6 = -6
x=-6
Simplify this equation: 10f + 3 = 23 + 6f
Answers
Answer:
Step-by-step explanation:
10f + 3 = 23 + 6f
4f + 3 = 23
4f = 20
f = 5
Answer:
f = 5
Step-by-step explanation:
10f + 3 = 23 + 6f
Move the variable to the left-hand side and change its sign
10f + 3 - 6f = 23
Move the constant to the right-hand side and change its sign
10f - 6f = 23 - 3
Collect like terms and Subtract the numbers
4f = 23 - 3
4f = 20
Then divide both sides of the equation by 4
f = 5
Rectangle KLMN has vertices K(-5,6), L(-2,9), M(6, 1), and N(3,-2). Determine and state the coordinates of the point of intersection of the diagonals.
Answers
Answer:
(0.5,3.5)
Step-by-step explanation:
First, we can draw the image, as shown. The diagonals in the rectangle are the following lines:
from (-2,9) to (3,-2)
from (-5, 6) to (6,1)
To find where they intersect, we can start by making an equation for the lines. For an equation y=mx+b, m represents the slope and b represents the y intercept, or when x=0
For the first line, from (-2,9) to (3,-2), we can calculate the slope by calculating the change in y/change in x = (y₂-y₁)/(x₂-x₁). If (3,-2) is (x₂,y₂) and (-2,9) is (x₁,y₁), our slope is
(-2-9)/(3-(-2)) = -11/5
Therefore, our equation is
y= (-11/5)x + b
To solve for b, we can plug a point in, like (3,-2). Therefore,
-2=(-11/5)*3+b
-2=-33/5+b
-10/5=-33/5+b
add 33/5 to both sides to isolate b
23/5=b
Our equation for one diagonal is therefore y=(-11/5)x+23/5
For the second line, from (-5, 6) to (6,1), if (6,1) is (x₁,y₁) and (-5,6) is (x₂,y₂), the slope is (1-6)/(6-(-5)) = -5/11 . Plugging (6,1) into the equation y=(-5/11)x+b, we have
1=(-5/11)*6+b
11/11 = -30/11 + b
add 30/11 to both sides to isolate b
41/11 = b
our equation is
y = (-5/11) x + 41/11
Our two equations are thus
y = (-5/11) x + 41/11
y=(-11/5)x+23/5
To find where they intersect, we can set them equal to each other
(-11/5)x+23/5 = y = (-5/11) x + 41/11
(-11/5)x + 23/5 = (-5/11)x + 41/11
subtract 23/5 from both sides as well as add 5/11 to both sides to make one side have only x values and their coefficients
(-11/5)x + (5/11)x = 41/11-23/5
11*5 = 55, so 55 is one value we can use to make the denominators equal.
(-11*11/5*11)x+(5*5/11*5)x=(41*5/11*5)-(23*11/5*11)
(-121/55)x+(25/55)x = (205/55) - (253/55)
(-96/55)x = (-48/55)
multiply both sides by 55 to remove the denominators
-96x=-48
divide both sides by -96 to isolate x
x=-48/-96=0.5
plug x=0.5 into a diagonal to see the y value of the intersection
(-11/5)x + 23/5 = y = (-11/5)* 0.5 + 23/5 = 3.5
The sweet shop sells licorice at $9.40 per kg. How much would 250g of licorice cost?
Answers
9.40 x 250=2350
Answer:
Step-by-step explanation:
1kg=1000
calculate the amount of rupees 31250 at the end of 2½ years, compounded annually at 8% per annum.
Answers
Time= 2 and 1/2 years
Rate= 8% so first we take out the amount for 2 years which would be: 36450
Now we we will take out the amount for 1/2 years. Now the rate for 1/2 years is 4% with principal
The amount for 1/2 years for 4% rate is= 37908
Answer: 37908 is the amount after 2 and 1/2 years at the rate of 8%
Two similar triangle prisms have edge lengths in the ratio of 5:3. What is the ratio of the surface areas the two prisms?
Answers
Answer:
Since the ratio of the two corresponding sides is 3:5, this means that edge_prism_1%2Fedge_prism_2=3%2F5
So the ratio of the two surface areas is simply the square of the ratio of the two sides. This means that ratio of the two surface areas is simply
3%5E2%2F5%5E2=9%2F25
Consequently, this works with volume also. So ratio of the two volumes is:
3%5E3%2F5%5E3=27%2F125Step-by-step explanation:
someone please help me I really need help on this or ill fail
Answers
Answer:
a. Smart Dot Company: C = 12 + 0.5·t
Communications Plus: C = 2.5·t
b. Please find attached the required tables created using MS Excel cell function tool
c. Please find attached the graph of both relationship created on the same grid with
Step-by-step explanation:
a. The monthly cost of the Smart Dot Company = $12
The hourly cost for internet use on Smart Dot Company = $0.50
The hourly cost of using the Communications Plus = $2.50
Therefore, the total monthly cost, C, for the duration of hours used, t, is given as follows;
Smart Dot Company: C = 12 + 0.5·t
Communication Plus: C = 2.5·t
b. The table of values are created using MS Excel as follows;
[tex]\begin{array}{ll}Smart \ Dot \ Company&\\Time \ (hours)&Cost \ (dollars)\\0&12\\2&13\\4&14\\6&15\\8&16\\10&17\end{array}[/tex] [tex]\begin{array}{ll}Communications\ \ Plus&\\Time \ (hours)&Cost \ (dollars)\\0&0\\2&5\\4&10\\6&15\\8&20\\10&25\end{array}[/tex]
c. Please find attached the graph of both relationship created on the same grid with MS Excel
In order to make a profit, a retailer will mark up the cost of an item. If the cost of the item is $42 but it is sold for
$89, what is the mark up rate for the item?
Round your answer to the whole percent.
Answers
[tex]\sqrt{x^2 +7x+1} =2x+1[/tex]
Answers
X=1
Explanation:
Its very messy but hope this helps
FIRST ANSWER GETS BRAINLIEST!!
(sorry for the colors on the picture)
Answers
It is the 3rd answer
Describe how (2 cubed) (2 superscript negative 4) can be simplified.
Answers
Answer:
1/2
Step-by-step explanation:
Given:
(2 cubed) (2 superscript negative 4)
= (2³)(2^-4)
= (2³) (1 / 2⁴)
= (2³ * 1) / 2⁴
= 2³ / 2⁴
Both numerator and denominator has the same base. Thus, pick one of the bases
Also, in indices, division sign can be translated to subtraction
Therefore,
2³ / 2⁴
= 2^3-4
= 2^-1
= 1/2¹
= 1/2
(2³)(2^-4) = 1/2
Answer:
D
Step-by-step explanation:
bc i said so
