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
Yuki888 [10]
2 years ago
9

The hollow sphere, in which the circus motorcyclist performs his stunts, has a diameter of 7 m. Find the area available to the m

otorcyclist for riding.
​
Mathematics
2 answers:
alexgriva [62]2 years ago
7 0

Diameter of the sphere = 7m

{Radius =\frac{7}{2} = 3.5 m}

Area available to motorcyclist for riding = Area of sphere

{= 4πr^2} \\  \\ {= 4*\frac{22}{7}*3.5*3.5} \\  \\ {= 154}.

The area available to the motorcyclist for riding is 154 m²

Anna11 [10]2 years ago
4 0

\huge\color{red} {\boxed{\tt{A}}} \color{blue} {\boxed{\tt{N}}} \color{hotpink}{\boxed{\tt{S}}} \color{blueviolet}{\boxed{\tt{W}}} \color{fuchsia}{\boxed{\tt{E}}}\color{lavender}{\boxed{\tt{R}}}

\red{ \star} \pmb{Diameter \:  of \:  the  \: sphere = 7 m}

\red{ \star} \pmb{Radius =\frac{7}{2} = 3.5 m}

\pink{\underline{ \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:   \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: \: }}

\sf{Area  \: available \:  to \:  motorcyclist  \: for  \: riding = Area \:  of  \: sphere}

\:  \:  \:  \:  \:  \:  \:  \:  \: \: \:  \:  \:  \:  \sf{= 4πr^2}

\:  \:  \:  \:  \:  \:  \:  \:  \: \: \:  \:  \:  \: \sf{= 4*\frac{22}{7}*3.5*3.5}

\:  \:  \:  \:  \:  \:  \:  \:  \: \: \:  \:  \:  \: \sf{= 154}

<u>The area available to the motorcyclist for riding is 154 m²</u>

You might be interested in
The average zinc concentration recovered from a sample of measurements taken in 36 different locations in a river is found to be
vazorg [7]

Answer:

The 95% confidence interval for the mean zinc concentration in the river is between 1.75 and 3.45 grams per milliliter.

The 99% confidence interval for the mean zinc concentration in the river is between 1.48 and 3.72 grams per milliliter.

Step-by-step explanation:

95% confidence interval:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1 - 0.95}{2} = 0.025

Now, we have to find z in the Ztable as such z has a pvalue of 1 - \alpha.

That is z with a pvalue of 1 - 0.025 = 0.975, so Z = 1.96.

Now, find the margin of error M as such

M = z\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

M = z\frac{\sigma}{\sqrt{n}}

M = 1.96\frac{2.6}{\sqrt{36}}

M = 0.85

The lower end of the interval is the sample mean subtracted by M. So it is 2.6 - 0.85 = 1.75 grams per milliliter.

The upper end of the interval is the sample mean added to M. So it is 2.6 + 0.85 = 3.45 grams per milliliter.

The 95% confidence interval for the mean zinc concentration in the river is between 1.75 and 3.45 grams per milliliter.

99% confidence level:

By the same logic as for the 95% confidence interval, we have that Z = 2.575. So

M = z\frac{\sigma}{\sqrt{n}}

M = 2.575\frac{2.6}{\sqrt{36}}

M = 1.12

The lower end of the interval is the sample mean subtracted by M. So it is 2.6 - 1.12 = 1.48 grams per milliliter.

The upper end of the interval is the sample mean added to M. So it is 2.6 + 1.12 = 3.72 grams per milliliter.

The 99% confidence interval for the mean zinc concentration in the river is between 1.48 and 3.72 grams per milliliter.

5 0
3 years ago
Helppppppp pleaseeee
Mariana [72]
\boxed{a_1=-4}\\\\a_2=a_1\cdot\,?\\\\-24=-4\cdot\,?\\\\\boxed{?=6}

Answer B.
6 0
3 years ago
The function f(x) = (x - 4)(x - 2) is shown.
Artist 52 [7]

Answer:

Step-by-step explanation:

The range of the function is :

all real numbers less than or equal to - 1

5 0
3 years ago
33,876-<br>29,008 <br><br><br>Explain
crimeas [40]
The answer is 4868.

Hope this helps.
7 0
3 years ago
PLZZZ HURRY TIMED TEST NO LINKS!!!!
GuDViN [60]

Answer:

d

Step-by-step explanation:

i got it right

4 0
3 years ago
Other questions:
  • What is the value of 2/5x3/5
    15·2 answers
  • PLEASE ANSWER I NEED DONE
    6·2 answers
  • (stupid answers will get reported)(alots of points)
    11·1 answer
  • The length of a rectangle is five times its width.
    10·1 answer
  • Solve the system of linear equations using elimination. −2x − y = 3 −9x − y = 17
    7·2 answers
  • Simplify
    5·2 answers
  • Please help me with this question.
    15·1 answer
  • Allison is making party favors. She has a roll of ribbon that is 4 1/3 feet long. Each favor needs 1/3 feet of ribbon. How many
    5·1 answer
  • 40 pnts and brainliest to best answer ( :
    6·2 answers
  • Violet bought snacks for her team's practice. She bought a bag of popcorn for $3.29
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!