Answer:
468.4 meters
Step-by-step explanation:
Find the width of the rectangle.
The area of a rectangle is A=length*width. Substitute the values of length and area and solve for width.
A=length*width
8,400=140*width
60= width
Use the width of the rectangle to find the circumference of the semicircles. Since each semicircle is half of a circle, the perimeter of the two semicircles is equal to the circumference of one circle.
The circumference of a circle is equal to pid, where d is the diameter. The diameter of the semicircle is the same as the width of the rectangle.
So, the diameter is 60 meters. Substitute the diameter into the formula for the circumference and simplify using 3.14 for pi.
≈188.4
(2 times 140)+ 188.4
So, the perimeter of the track is 468.4 meters.
All of the following would make a formal proof incomplete except what?
A) A lack of justifications
B) Incomplete sentences
C) Errors in logic
D) Incorrect reasons for statements
Urgent I need this for tonight please!!!
Answer:
b incorrect sentences
Step-by-step explanation:
got it right on my test
What is the lim as x approaches pi [integral 1+tan t from pi to x]/(pi sin x)
Apply l'Hopital's rule:
[tex]\displaystyle\lim_{x\to\pi}\frac{\displaystyle\int_\pi^x (1+\tan(t))\,\mathrm dt}{\pi\sin(x)}=\lim_{x\to\pi}\frac{1+\tan(x)}{\pi\cos(x)}=\frac{1+\tan(\pi)}{\pi\cos(\pi)}=\boxed{-\frac1\pi}[/tex]
where
[tex]\displaystyle\frac{\mathrm d}{\mathrm dx}\left[\int_\pi^x(1+\tan(t))\,\mathrm dt\right]=1+\tan(x)[/tex]
follows from the fundamental theorem of calculus.
What are the coefficients of this expression? x + y + 2
Answer:
1
Step-by-step explanation:
Since the variables dont have any numbers next to them, 1 is the coefficient for x and y
slope of the line (-3,-6) and (4,1)
Answer:
- 5 / 7
Step-by-step explanation:
1 - 6 = - 5
4 - - 3 = 7
Where do the lines y = 3x + 5 and y = -2x + 10 intersect?
9514 1404 393
Answer:
(x, y) = (1, 8)
Step-by-step explanation:
A graphing calculator quickly tells you the point of intersection.
__
You can equate the y-values and solve for x.
3x +5 = -2x +10
5x = 5 . . . . . . . . . add 2x-5
x = 1 . . . . . . . divide by 5
3·1 +5 = y = 8 . . . . substitute for x in the first equation
The point of intersection is (x, y) = (1, 8).
Mikiyah invested $2,500 in a simple interest account for 2 years.At the end of the years she has earned $75 in interested.What was the simple interest rate of this account?
Answer:
1.5%
Step-by-step explanation:
fine the slope of the table below
Find the roots of h(t) = (139kt)^2 − 69t + 80
the smaller root is:
the larger root is:
The answers will consist of algebraic expressions containing the parameter k.
What positive value of k will result in exactly one real root?
K = ?
Answer:
The positive value of [tex]k[/tex] will result in exactly one real root is approximately 0.028.
Step-by-step explanation:
Let [tex]h(t) = 19321\cdot k^{2}\cdot t^{2}-69\cdot t +80[/tex], roots are those values of [tex]t[/tex] so that [tex]h(t) = 0[/tex]. That is:
[tex]19321\cdot k^{2}\cdot t^{2}-69\cdot t + 80=0[/tex] (1)
Roots are determined analytically by the Quadratic Formula:
[tex]t = \frac{69\pm \sqrt{4761-6182720\cdot k^{2} }}{38642}[/tex]
[tex]t = \frac{69}{38642} \pm \sqrt{\frac{4761}{1493204164}-\frac{80\cdot k^{2}}{19321} }[/tex]
The smaller root is [tex]t = \frac{69}{38642} - \sqrt{\frac{4761}{1493204164}-\frac{80\cdot k^{2}}{19321} }[/tex], and the larger root is [tex]t = \frac{69}{38642} + \sqrt{\frac{4761}{1493204164}-\frac{80\cdot k^{2}}{19321} }[/tex].
[tex]h(t) = 19321\cdot k^{2}\cdot t^{2}-69\cdot t +80[/tex] has one real root when [tex]\frac{4761}{1493204164}-\frac{80\cdot k^{2}}{19321} = 0[/tex]. Then, we solve the discriminant for [tex]k[/tex]:
[tex]\frac{80\cdot k^{2}}{19321} = \frac{4761}{1493204164}[/tex]
[tex]k \approx \pm 0.028[/tex]
The positive value of [tex]k[/tex] will result in exactly one real root is approximately 0.028.
which of the following are functions.
Answer:
Graph ii and iii
Step-by-step explanation:
In graph ii and iii, every input has one and only output. Another way to check is by doing the vertical line test.
please help, thanks :)
Answer:
It's C :)
Step-by-step explanation:
Next time check the y-intercept
Green has a intercept of 1
and purple has -3
plz help will make brainliest!!!
Answer:
Answer is true.
Hope this helps.
the equation of a circle whose center is (-5, 3) and whose radius is 6?
Answer:
Center:(-5,3)
The center of a circle is a point from which all points on a circle are the same distance.
Radius:6
The radius of a circle is the length of a line segment from its center to its perimeter.
The radius is typically denoted as "r" or "R".
Diameter:12
The diameter of a circle is any straight line segment that passes through the center of the circle and whose endpoints lie on the circle. It can also be defined as the longest chord of the circle.
Circumference or (or Permieter) = 2*π*R = 2*3.14*6 = 37.6991118430775
The circumference of a circle is the distance around it.
Area:113.097335529233
Area of a Circle is the amount of space occupied by the circle.The area of a circle is p times the radius squared, which is written: A = π*R2.
x-2y what is the coefficient of x
Answer:
the coefficient of x is an implied 1
any variable that's by itself without a coefficient has an implied 1
Step-by-step explanation:
I hope this helps :)
The hypotenuse of a 45 degrees - 45 degrees - 90 degrees triangle is 5sqrt(6) Find the length of one leg of the right triangle
Answer:
Step-by-step explanation:
let the length of a leg of right angled associate triangle=x
x²+x²=(5√6)²
2x²=150
x²=150/2=75
x=√75=5√3
Please help I might flunk
1. Anil runs around a square park of side 90 m. Rohan runs around a rectangular
park with length 50 m and breadth 40 m. Who runs more and by how much?
Pls Help ASAP Pls
Answer:
Anil runs more by 180m.
Step-by-step explanation:
Given that:
Length of side of square park = 90 m
We will find the perimeter.
Perimeter = 4s
Perimeter = 4(90) = 360 m
Measurements of rectangular parks = length 50 m and width 40 m
Perimeter = 2(Length + Width)
Perimeter = 2(50+40) = 2(90) = 180 m
360 m > 180m
Difference = 360 - 180 = 180 m
Hence,
Anil runs more by 180m.
why do you think that slowing down is sometimes called deceleration instead of acceleration?
Answer:
The "de" part means oppsite to whats behind it I think
Step-by-step explanation:
Answer:
Because acceleration means to gradually speed up, while deceleration means to gradually slow down.
You took a math test with 20 questions on it. Your teacher said you got 90% of
the problems correct. How many questions did you get correct on the test?
a.
9
b.
15
C.
18
d.
90
Please hurry
Answer:
Hello as fast as i can answer 18.
Step-by-step explanation:
Reason 20 times 5 equals a 100
so 18 times 5 equals 90.
there for 18 is your answer.
-
Have a good day.
Answer:
C. 18
Step-by-step explanation:
90% of 20 is 18! Good luck!
Television screens are usually described by the length of their diagonal measure. What would the diagonal measure be for a television whose dimensions are 54 inches by 28 inches?
A) 61 inches
B) 71 inches
C) 81 inches
D) Unable to determine with given data.
Answer:
A
Step-by-step explanation:
61 inches
Step-by-step explanation:
61inches is answer.. .. ..
Whats the value of x
120°
(2x – 10)°
help due in 30 min!!!!!!!!!!!!!!!
Answer:
They have the same slope
Step-by-step explanation:
slope=4
write the slope x+y=4 I have no idea how to do this
8x = 88
I can’t figure this out 10 points if you answer
Answer:
divide 88 by the number of x
88/8= 11
X = 11
Answer:
x=11
Step-by-step explanation:
8x=88
You use inverse operation which means you would divide 8 on both sides to isolate x on one side resulting in x=11
What is a factor that is less than 1?
Answer:
none
Step-by-step explanation:
what is the answer to this problem? If there are 90 calories in Three-fourths cup of yogurt, how many calories are in 3 cups of yogurt?
A. 30 calories
B. 202 calories
C. 270 calories
D. 360 calories
Answer: C
Step-by-step explanation:
When you plugged in your phone you had 36% left on your battery. It took 25 minutes to rwach 100% charge. What is the constant rate of change of % charge per minute?
Answer:
0.390%
Step-by-step explanation:
100-36=64
25÷64=0.390625
Answer:
2.6
explanation:
100-36=64
64/25= 2.6
my question is on the image it would mean the world to me if you could help
Answer:
a. Slope of f(x) is greater than g(x)
b. y-intercept of f(x) is less than the y-intercept of g
Step-by-step explanation:
Function f(x)
Given the function f(x)
x f(x)
-3 -0.5
-2 0
-1 0.5
0 1
Finding the slope between any two points
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(-3,\:-0.5\right),\:\left(x_2,\:y_2\right)=\left(-2,\:0\right)[/tex]
[tex]m=\frac{0-\left(-0.5\right)}{-2-\left(-3\right)}[/tex]
[tex]m=0.5[/tex]
Thus,
The slope of f(x) = 0.5
We know that the value of the y-intercept can be determined by setting x = 0, and determining the corresponding value of y.
From the given point (0, 1), we can easily observe that at x = 0, the value of y = 1.
Thus, the y-intercept of f(x) = 1
Function g(x)
Taking two points from the given graph of g(x)
(1, 0)(0, 2)Finding the slope between (1, 0) and (0, 2)
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(1,\:0\right),\:\left(x_2,\:y_2\right)=\left(0,\:2\right)[/tex]
[tex]m=\frac{2-0}{0-1}[/tex]
Refine
[tex]m=-2[/tex]
Thus,
The slope of g(x) = -2
We know that the value of the y-intercept can be determined by setting x = 0, and determining the corresponding value of y.
From the given point (0, 2), we can easily observe that at x = 0, the value of y = 2.
Thus, the y-intercept of g(x) = 2
Conclusion:
FOR function f(x)
The slope of f(x) = 0.5
The y-intercept of f(x) = 1
FOR function gx)
The slope of g(x) = -2
The y-intercept of g(x) = 2
Thus:
a. Slope of f(x) is greater than g(x)
b. y-intercept of f(x) is less than the y-intercept of g
John is going camping, and he needs to buy a tent. The outdoor store has one that cost $90, but it's on sale for 25% off. What is the sale price?
A.$22.50
B.$65.00
C.$67.50
D.$112.50
Answer:
A
Step-by-step explanation:
Okay so, im not the best at explaining, but so we have a percentage. its 25%. you want to take the 25% and put it over 100 because a percentage is a number or ratio expressed as a fraction of 100. so it will be written as 25%/100
divide 25 by 100 and you get 0.25, correct? so that's one step further towards the answer.
then we write x/90 because we don't know (well we do) what we're gonna put. but, we're gonna multiply 0.25 by 90 and we get 22.5, which is equivalent to 22.50.
The table below represents Mark's assets and liabilities.
Item
Value
Pocket Money
$18
Checking Account Balance $45
Loan from friend
$14
Check for mowing lawn $25
What is the total of Mark's liabilities?
O $39
O $25
O $18
O $14
Answer:
18
Step-by-step explanation:
Which quadratic equation has roots -7 and 3/2 ?
Answer:
If the discriminant of the quadratic equation is zero then it will have 2 equal roots.
If the discriminant of the quadratic equation is greater than zero then it will have 2 different roots.
If the discriminant of the quadratic equation is less than zero then it will have no roots.
Step-by-step explanation:
hope this helped