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Elena-2011 [213]
3 years ago
6

the circumfrince of a circle is approximately 100.48 centimeters.the shaded region 3/10 of the whole circle.enter the area of th

e shaded region in square centimeters.round your answer to the nearest hundreth
Mathematics
1 answer:
Pavlova-9 [17]3 years ago
4 0
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the hoop rotates through qan angle of 3/2 pie radian in 1 second how many revolutions does the hoop make in 1 minute
timofeeve [1]
A revolution is a full go-around the circle, namely a 2π angle, as opposed to pie, but yours sounds more delicious.

so, we know it does 3/2 π in 1 second, how many π does it do in 60 seconds(1 minute) ?

\bf \begin{array}{ccll}
radians&seconds\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
\frac{3\pi }{2}&1\\\\
r&60
\end{array}\implies \cfrac{\frac{3\pi }{2}}{r}=\cfrac{1}{60}\implies \cfrac{\frac{3\pi }{2}}{\frac{r}{1}}=\cfrac{1}{60}

\bf \cfrac{3\pi }{2}\cdot \cfrac{1}{r}=\cfrac{1}{60}\implies \cfrac{3\pi }{2r}=\cfrac{1}{60}\implies \cfrac{3\pi \cdot 60}{2}=r\implies 90\pi =r\\\\
-------------------------------\\\\
\textit{how many times }2\pi \textit{ goes into }90\pi ?\qquad \cfrac{90\pi }{2\pi }\implies 45
7 0
3 years ago
The radius of the large sphere is double the radius of the small sphere.
Vlad [161]

Answer:

8

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

Remember that all the spheres are similar

Let

z ----> the scale factor

V_1 ---> the volume of the large sphere

V_2 ---> the volume of the small sphere

z^3=\frac{V_1}{V_2}

<em>Find the scale factor</em>

we know that

The radius of the large sphere is double the radius of the small sphere

so

The scale factor is 2

z=2

substitute the value oz z

z^3=\frac{V_1}{V_2}

2^3=\frac{V_1}{V_2}

8=\frac{V_1}{V_2}

V_1=8V_2

The volume of the large sphere is 8 times the volume of the small sphere

8 0
4 years ago
Read 2 more answers
Identify the type of transformation given the rule M(x, y) = (x, –y).
Gnoma [55]
Reflection about x axis
3 0
3 years ago
Read 2 more answers
A 2-digit number is increased by 36 when the digits are reversed. The sum of the digits is 10. What is the original number?
gregori [183]
<h3>Answer: 37</h3>

====================================================

Work Shown:

T = tens digit of the original number

U = units digit of the original number

U+T = 10 since the digits add to 10. Solve for U to get U = 10-T

10T+U = original number

10U+T = new number where digits are reversed

-----------

new number = (old number) + 36

10U+T = (10T+U)+36

10U+T = 10T+U+36

10(10-T)+T = 10T+10-T+36 ... plug in U = 10-T

100-10T+T = 10T+10-T+36

-9T+100 = 9T+46

100-46 = 9T+9T

54 = 18T

18T = 54

T = 54/18

T = 3 is the tens digit of the original number

U = 10-T

U = 10-3

U = 7 is the units digit of the original number

10T+U = 10*3+7 = 30+7 = 37 is the original number

73 is the reversed number.

73-37 = 36 is the difference, showing that 37 increased by 36 leads to 73. The answer is confirmed.

6 0
3 years ago
Read 2 more answers
Which geometric figure consists of the set of all points in a plane that are the same distance from a given point?
Savatey [412]

Answer:A circle is the set of all points in a plane that are equidistant from a given point called the center of the circle. We use the symbol ⊙ to represent a circle.

Step-by-step explanation:

8 0
3 years ago
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