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laila [671]
10 months ago
15

The radius of a circle is 10 miles. What is the length of a 45° arc?

Mathematics
1 answer:
pshichka [43]10 months ago
6 0

Solution

We are given

Radius (r) = 10 miles

Angle (theta) = 45 degrees

We want to find the length of the arc

Note: Formula for the length of an Arc

\begin{gathered} l=\frac{\theta}{360}\times2\pi r \\ length\text{ }Of\text{ }Arc=\frac{45}{360}\times2\times\pi\times10 \\ length\text{ }Of\text{ }Arc=\frac{1}{8}\times20\pi \\ length\text{ }Of\text{ }Arc=\frac{5}{2}\pi \\ length\text{ }Of\text{ }Arc=7.853981634 \\ length\text{ }Of\text{ }Arc=7.854miles \end{gathered}

Therefore, the length of the arc is

\begin{equation*} 7.854miles \end{equation*}

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8 0
3 years ago
A bag contains 36 marbles. 10 marbles are green, 6 marbles are blue, 18 marbles are yellow, and 2 marbles are purple.
alexdok [17]

Answer:

10/72 or 0.14

Step-by-step explanation:

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7 0
2 years ago
Jun used x milliliters, or 90% percent, of his favorite bottle of hot sauce.
Verizon [17]

Answer:

The volume of the full bottle of Jun's favorite hot sauce in ml is \frac{10x}{9}.

Step-by-step explanation:

Jun used x milliliters, or 90% percent, of his favorite bottle of hot sauce.

So, to find the volume of a full bottle of Jun's favorite hot sauce in milliliters, we can use the unitary method.

Then, 90% of the full bottle sauce is equal to x ml.

So, 1% of the full bottle sauce is equal to \frac{x}{90} ml.

Therefore, 100% of the full bottle sauce is equal to \frac{x}{90}\times 100 = \frac{10x}{9} ml.  

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2 years ago
PPPPPPLLLLLLEEAAASSEE HELLLPPP WIL MARK BRAINLIEST the brackets for a shelf are in the shape of a triangle. Find the angles of t
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Answer:

Step-by-step explanation:

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2 years ago
Simplify the expression. (p^9)^−2
EastWind [94]
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Changes made to your input should not affect the solution:

 (1): "p3"   was replaced by   "p^3".  1 more similar replacement(s).

Step by step solution :<span>Step  1  :</span><span> p9 Simplify —— p3 </span>Dividing exponential expressions :

<span> 1.1 </span>  <span> p9</span> divided by <span>p3 = p(9 - 3) = p6</span>

Final result :<span> p<span>6</span></span>
6 0
3 years ago
Read 2 more answers
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