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vodka [1.7K]
3 years ago
7

PLEASE HELP!!! Thanks in advance!! Henry is a ringmaster for the circus. He stands inside a circular circus ring that has a circ

umference of 3π meters. What is the area of the circus ring in square meters?
Mathematics
1 answer:
Andreas93 [3]3 years ago
3 0

Circumference  =   2pi  * r

So

3pi   =  2pi  r               divide  away pi

3  =  2  r

(3/2)  =  r    =   1.5 m

Area  =  pi  ( r^2)   =   pi  (1.5)^2   =   2.25 pi   m^2   ≈  7.07  m^2

cited from web2.0calc

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a jar contains half dollars and quarters. there are 30 coins in all in the jar. the total value of the coins is $8.75. how many
OLEGan [10]
25 quarters because if you set up a system of equations you get x+y=30 since there are x number of half dollars and y number of quarters plus each other is 30. Next equation is .5x+.25y=8.75 half dollar is 50cents while a quarter equals 25 cents and together they have to equal 8.75. Now you eliminate one variable then you add the remaining variable and the amounts together then you divide if you eliminated the x variable your answer is the one you get after you divide. If you eliminate the y variable then you have to plug it then you get your answer. hope this helped
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4 0
4 years ago
The volume of a storage pod that is shaped like a cube is 1728 cubic feet what is the surface area of the storage pod?
Fittoniya [83]

Answer:

864

Step-by-step explanation:

since the volume is 1728, the cube root of 1728 is the length of each side, which is 12. to find surface area of a cube, we find the area of one face and multiply it by 6. 12*12*6 = 864.

3 0
3 years ago
A train travels a distance of 60 km at uniform speed. If the speed of the train was reduced by 10 kmh-1, the time taken to trave
tester [92]

Answer:

<u>Initial</u><u> </u><u>speed</u><u> </u><u>is</u><u> </u><u>3</u><u>2</u><u> </u><u>m</u><u>/</u><u>s</u>

At uniform speed, acceleration is 0, (a = 0).

When speed reduced, (v - u) = 2.78 ms-¹, t = 1800 sec, s = 60 ,000 metres.

From first equation of motion:

{ \boxed{ \bf{v = u + at}}} \\  { \tt{(v - u) = at}}

substitute:

{ \tt{2.78 = (a \times 1800)}} \\ { \tt{acceleration = 0.0015 \:  {ms}^{ - 2} }}

from second equation of motion:

{ \boxed{ \bf{s = ut +  \frac{1}{2} a {t}^{2} }}}

substitute:

{ \tt{60000 = 1800u + ( \frac{1}{2} \times 0.0015 \times  {1800}^{2})  }} \\ { \tt{1800u = 57570}} \\ { \tt{u = 32 \: m {s}^{ - 1} }}

5 0
3 years ago
write an eqation for the line that is parrellel to the given line that passes through the given piont y=5/2x-10;(-6,-9)
HACTEHA [7]

Answer:

the red dot is the given point.

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Someone please help me with this
Nataly_w [17]

Answer:

a.\ D=\dfrac{1}{5}t

b. 20 seconds

Step-by-step explanation:

Let D be the distance in miles and

t be the time in seconds and

s be the speed in miles/sec

Formula for Distance is given as:

Distance = Speed \times Time\\OR\\D=st

Given that:

Distance = 2 miles and

Time = 10 seconds

Putting the values in formula:

2=s\times 10\\\Rightarrow s =\dfrac{1}{5} \ miles/sec

<em>Answer a:</em>

Putting the value of s back in the formula to find the <em>direct variation equation </em>for the relationship between time and distance:

D=\dfrac{1}{5}t

<em>Answer b:</em>

Using the above formula and putting D=4\ miles:

4=\dfrac{1}{5}t\\\Rightarrow t =\bold{20\ seconds}

7 0
3 years ago
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