1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
sertanlavr [38]
3 years ago
13

A running track in the shape of an oval is shown. The ends of the track form semicircles. A running track is shown. The left and

right edges of the track are identical curves. The top and bottom edges of the track are straight lines. The track has width 68 m and length of one straight edge 140 m. What is the perimeter of the inside of the track?
Mathematics
2 answers:
Minchanka [31]3 years ago
5 0
Two shapes.. a circle and a rectangle. The width of the rectangle serves as the diameter of the circle.

Length = 140 m ; Width = 68 m

Circumference of a circle = 2 π r
circumference of a cirlce =  2 * 3.14 * (68m/2) = 2 * 3.14 * 34 m = 213.52

length = 2 * 140 m = 280 m

perimeter of the oval = 213.52 m + 280 m = 493.52 m
ad-work [718]3 years ago
3 0

Answer:

493.52

Step-by-step explanation:

You might be interested in
Find the exact length of the curve. x = 1 + 6t2, y = 4 + 4t3, 0 ≤ t ≤ 3
vovangra [49]

x=1+6t^2\implies\dfrac{\mathrm dx}{\mathrm dt}=12t

y=4+4t^3\implies\dfrac{\mathrm dy}{\mathrm dt}=12t^2

The length of the curve C is given by

\displaystyle\int_C\mathrm ds=\int_0^3\sqrt{\left(\frac{\mathrm dx}{\mathrm dt}\right)^2+\left(\dfrac{\mathrm dy}{\mathrm dt}\right)^2}\,\mathrm dt

=\displaystyle\int_0^3\sqrt{144t^2+144t^4}\,\mathrm dt

=\displaystyle12\int_0^3t\sqrt{1+t^2}\,\mathrm dt

=\displaystyle6\int_0^3 2t\sqrt{1+t^2}\,\mathrm dt

=\displaystyle6\int_0^3\sqrt{1+t^2}\,\mathrm d(1+t^2)

=6\cdot\dfrac23(1+t^2)^{3/2}\bigg|_0^3

=4(10^{3/2}-1)

=40\sqrt{10}-4

8 0
3 years ago
I need a quick asnwer!!!
Bad White [126]

Answer:

third one

Step-by-step explanation:

7 0
3 years ago
A random sample of 60 suspension helmets used by motorcycle riders and automobile race-car drivers was subjected to an impact te
pentagon [3]

Answer:

The 95% confidence interval on the true proportion of helmets of this type that would show damage from this test is (0.169, 0.397).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

For this problem, we have that:

n = 60, \pi = \frac{17}{60} = 0.283

95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.283 - 1.96\sqrt{\frac{0.283*0.717}{60}} = 0.169

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.283 + 1.96\sqrt{\frac{0.283*0.717}{60}} = 0.397

The 95% confidence interval on the true proportion of helmets of this type that would show damage from this test is (0.169, 0.397).

6 0
3 years ago
A line passing through the points (4,-3) and (-4,0)
lara31 [8.8K]

Answer:

y= -0.38x+ -1.50

Step-by-step explanation:

this is in decimal form rounded to the nearest 100th

8 0
3 years ago
It's been estimated that if you consume an extra 3,500 calories, you will gain 1 pound of fat. one can of soda contains 40 grams
timama [110]
We know that
1 can of soda---------------> <span>40 grams of sugar
if 1 gram sugar------------------------------------>has 4 calories
40 grams (1 can of soda)-----------------------> X
X=40*4=160 calories
then 
1 can of soda--------------> has 160 calories
</span><span>six-pack of soda every day--------------> 6*160=960 calories every day

in one year------------> 960*365=350400 calories in one year

if 3500 calories----------------> </span><span>1 pound of fat
</span>350400 calories----------------X
X=350400/3500=100.11 pound
In one year she or he will gains 100.11 pound of fat

the answer is 100.11 pound
8 0
3 years ago
Other questions:
  • Two athletic directors purchased tennis balls and baseballs at the same store. The first athletic director bought 5 tennis balls
    7·1 answer
  • At president Lincoln's inauguration in 1861, the newspaper headlines. stated there were about 30,000 people in attendance. if th
    13·1 answer
  • Find the median of 9 6 5 3 28 6 4 7
    5·2 answers
  • Which of the following shows the polynomial below written in descending
    15·2 answers
  • Trina's Toy Company charges $0.85 per pound to ship toys.
    6·1 answer
  • Find the inverse function g(x) of the function f(x)=2x+1
    13·1 answer
  • 4. What is the value of the expression 3/12÷2/5​
    10·1 answer
  • Root 3 minus root 2 divided by root 3 + root 2​
    15·1 answer
  • What is the same as dividing by three?
    15·2 answers
  • PLS HELP ME EZ MATH GIVING 103 POINTS ALL MY POINTS PLS DUE NOW!!!
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!