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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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HELP ASAP,, WILL GIVE BRAINLIEST

madreJ [45]

Answer:

a = 50°, b = 130°, c = 20°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the 3 angles in the right triangle

a + 40° + 90° = 180°

a + 130° = 180° ( subtract 130° from both sides )

a = 50°

a and b are adjacent angles and sum to 180° , so

a + b = 180°

50° + b = 180° ( subtract 50° from both sides )

b = 130°

Then sum the angles in the top triangle, that is

30° + 130° + c = 180°

160° + c = 180° ( subtract 160° from both sides )

c = 20°

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4 years ago

When two statements are connected with the word or, the new statement is called a

Alex_Xolod [135]

Disjunction would be statements connected with or.

Brainliest?

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4 years ago

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A student finds the product. Is his answer reasonable? 5,692 x 3 = 17,076 Estimate to check

lora16 [44]

Answer:

His answer is reasonable.

5,700 x 3 is around 17100

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3 years ago

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The volume of a large aquarium is 210 yd3. It is 2 2/5 yd wide and 2 4/5 yd high. What is the length of the aquarium ? It’s a qu

miss Akunina [59]

Length of the aquarium is 35 yd

Step-by-step explanation:

Step 1: Volume of the aquarium = 210 yd³ given by Volume = length × width × height. Width = 3 yd and Height = 2 yd

Length = Volume/Width × Height

= 210/3 × 2 = 210/6

= 35 yd

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2 years ago

Kate has two lengths of ribbon. the pink ribbon is 4 6/12 feet long, and the purple ribbon is 2 4/12 feet long. how much ribbon

Vlad1618 [11]

Data:
Kate has two lengths of ribbon
pink ribbon = $4 \frac{6}{12} \;feet$
purple ribbon = $2 \frac{4}{12} \;feet$

How much ribbon does kate have in all?
pink ribbon + purple ribbon

Solving:
 $4\frac{6}{12} + 2\frac{4}{12} = \frac{12*4+6}{12} + \frac{12*2+4}{12} = \frac{48+6}{12} + \frac{24+4}{12} = \frac{54}{12} + \frac{28}{12} = \frac{82}{12} =$
$\frac{82}{12} \:simplify\: \frac{\div2}{\div2} = \boxed{\boxed{\frac{41}{6} \:or\:6 \frac{5}{6} }}\end{array}}\qquad\quad\checkmark$

Answer:
Kate has it all $6 \frac{5}{6}$ of ribbons

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4 years ago