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4 years ago

Use the arc length formula and the given information to find r.

Mathematics

1 answer:

jek_recluse [69]4 years ago

3 0

Answer:

Step-by-step explanation:

The thing with the arc length formula, s = rt, is that t is the angle in radians. Ours is in degrees, so we have to change it:

36 × $\frac{\pi }{180}=\frac{\pi }{5}$

So the formula we use to solve for r is:

$12=\frac{\pi }{5}r$

Multiply both sides by 5 over pi to get that

$r=\frac{60}{\pi } cm$

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How to simply the radical

zlopas [31]

6√2 + 4 √32
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6√2 + 4√2×√16
since 16 is a perfect Square √16 gives 4
therefore.
6√2 + 4 ×4 √2
6√2 +16√2
these are Like terms so add them
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3 0

4 years ago

Solve the formula F=9/5C+32 for degrees<br> Celcuis C. show all your steps

borishaifa [10]

Start with your given equation - F=9/5C+32

Subtract 32 from both sides - F-32=(9/5) degrees C

Multiply both sides by 5 - 5(F-32)=9C

Divide both sides by 9 to isolate C - (5/9)(F-32)=C

Answer - C=(5/9)(F-32)

<em>I AM NOOO MATH EXPERT, BUT THAT IS WHAT I GOT... HOPE THIS HELPS!</em>

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3 years ago

What do probability and odds tell you about life's risks?

shtirl [24]

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7 0

3 years ago

Can someone please please help me!!!!!

Licemer1 [7]

Answer:

<h2>Diameter = 10</h2>

Step-by-step explanation:

If the side of a triangle inscribed in a circle is a diameter, then it is a right triangle.

Use the Pythagorean theorem:

d - diameter

$d^2=8^2+6^2\\\\d^2=64+36\\\\d^2=100\to d=\sqrt{100}\\\\d=10$

6 0

3 years ago

Which one of these formulas describes the following sequence?<br><br> 1,5,12,22,35

kati45 [8]

We can find a formula for nth term of the given sequence as follows:

1, 5, 12, 22, 35

The 1st differences between terms:

4, 7, 10, 13

The 2nd differences :

3, 3, 3

Since it takes two rounds of differences to arrive at a constant difference between terms, the nth term will be a 2nd degree polynomial of the form: $a n^2 + b n + c$ , where c is a constant. The coefficients a, b, and the constant c can be found.

We can form the following 3 equations with 3 unknowns a, b, c:

$1 = a\cdot1^2 + b\cdot1 + c\\5 = \cdot2^2 + b\cdot2 + c\\12 = a\cdot3^2 + b\cdot3 + c$

Solving for a, b, c, we get:

a = 3/2, b = -1/2, c = 0

Therefore, the nth term of the given sequence is:

$\boxed{ a_n = \dfrac{3}{2}n^2- \dfrac{1}{2} n}$

7 0

3 years ago