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
miv72 [106K]
3 years ago
9

To the nearest hundredth of a yard, determine the circumference of the given circle. Approximate as 3.14. r=6

Mathematics
1 answer:
Bond [772]3 years ago
7 0

Answer:

37.68

Step-by-step explanation:

c = 2 x 3.14 x 6

You might be interested in
K² = 76<br><br>What is the answer?​
Dmitry_Shevchenko [17]

Answer:

k = 2 √ 19 , − 2 √ 19

Step-by-step explanation:

Take the root of both sides and solve.

3 0
2 years ago
Read 2 more answers
HELP PLS - QUIZ AND IM VERY CONFUSED
Katarina [22]
Ms Girl we on the Same Note tbh
5 0
3 years ago
What is the radius of a circle in which a 30° arc is 2 inches long?
marysya [2.9K]
It would be 1 inch and 15 degree arc due to the act that the radius is half.
5 0
3 years ago
Read 2 more answers
The following a function (6,3), (-1,2), (-1,-1), (4,3)
Akimi4 [234]

for an expression or relation to be a function, it must not have any x-coordinate values repeated, let's check this one

\bf (6,3), (\stackrel{\stackrel{rep eated}{\downarrow }}{-1},2), (\stackrel{\stackrel{rep eated}{\downarrow }}{-1},-1), (4,3)\qquad \textit{not a function}

5 0
3 years ago
In a circus performance, a monkey is strapped to a sled and both are given an initial speed of 3.0 m/s up a 22.0° inclined track
Aloiza [94]

Answer:

Approximately 0.31\; \rm m, assuming that g = 9.81\; \rm N \cdot kg^{-1}.

Step-by-step explanation:

Initial kinetic energy of the sled and its passenger:

\begin{aligned}\text{KE} &= \frac{1}{2}\, m \cdot v^{2} \\ &= \frac{1}{2} \times 14\; \rm kg \times (3.0\; \rm m\cdot s^{-1})^{2} \\ &= 63\; \rm J\end{aligned} .

Weight of the slide:

\begin{aligned}W &= m \cdot g \\ &= 14\; \rm kg \times 9.81\; \rm N \cdot kg^{-1} \\ &\approx 137\; \rm N\end{aligned}.

Normal force between the sled and the slope:

\begin{aligned}F_{\rm N} &= W\cdot  \cos(22^{\circ}) \\ &\approx 137\; \rm N \times \cos(22^{\circ}) \\ &\approx 127\; \rm N\end{aligned}.

Calculate the kinetic friction between the sled and the slope:

\begin{aligned} f &= \mu_{k} \cdot F_{\rm N} \\ &\approx 0.20\times 127\; \rm N \\ &\approx 25.5\; \rm N\end{aligned}.

Assume that the sled and its passenger has reached a height of h meters relative to the base of the slope.

Gain in gravitational potential energy:

\begin{aligned}\text{GPE} &= m \cdot g \cdot (h\; {\rm m}) \\ &\approx 14\; {\rm kg} \times 9.81\; {\rm N \cdot kg^{-1}} \times h\; {\rm m} \\ & \approx (137\, h)\; {\rm J} \end{aligned}.

Distance travelled along the slope:

\begin{aligned}x &= \frac{h}{\sin(22^{\circ})} \\ &\approx \frac{h\; \rm m}{0.375}\end{aligned}.

The energy lost to friction (same as the opposite of the amount of work that friction did on this sled) would be:

\begin{aligned} & - (-x)\, f \\ = \; & x \cdot f \\ \approx \; & \frac{h\; {\rm m}}{0.375}\times 25.5\; {\rm N} \\ \approx\; & (68.1\, h)\; {\rm J}\end{aligned}.

In other words, the sled and its passenger would have lost (approximately) ((137 + 68.1)\, h)\; {\rm J} of energy when it is at a height of h\; {\rm m}.

The initial amount of energy that the sled and its passenger possessed was \text{KE} = 63\; {\rm J}. All that much energy would have been converted when the sled is at its maximum height. Therefore, when h\; {\rm m} is the maximum height of the sled, the following equation would hold.

((137 + 68.1)\, h)\; {\rm J} = 63\; {\rm J}.

Solve for h:

(137 + 68.1)\, h = 63.

\begin{aligned} h &= \frac{63}{137 + 68.1} \approx 0.31\; \rm m\end{aligned}.

Therefore, the maximum height that this sled would reach would be approximately 0.31\; \rm m.

7 0
2 years ago
Other questions:
  • Which sequence of transformations would result in a figure that is similar, but not congruent, to the original figure?
    11·1 answer
  • The question is in the photo.
    15·2 answers
  • Alex wrote 103.903 in expanded form as 100+3x1+9x1/100+3x1/1000. Explain his mistake. Then tell how to correct it.
    7·1 answer
  • 7x-3y=21<br><br> Find the intercept
    8·1 answer
  • Tony and Sahar go to the store to buy some food. They get lemonade for $3, tomatoes for $4, bread for $6 and cheese for $5. If t
    11·1 answer
  • The variable x represents a value in the set {4,6,7,8}.
    5·1 answer
  • a school has 294 chairs.there are 14 chairs at each table. two chairs will be removed from each table.how many chairs will be le
    11·2 answers
  • The perimeters of two similar triangles are 25 cm and 15 cm respectively. If one side of the first
    10·1 answer
  • Plz help and explain ur answer
    12·1 answer
  • A. Mr. Mickelson slept for 9 hours on Monday, Wednesday, and Friday of this week,
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!