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givi [52]
3 years ago
6

Use the arc length formula and the given information to find r. s = 16 cm, θ= 48°; r = ? (1 point)

Mathematics
2 answers:
rodikova [14]3 years ago
6 0

Solution:

The value of r is 19.1 cm

Explanation:

We know the arc length formulas which is shown below.

\theta= \frac{s}{r} \\\\r=\frac{s}{\theta}

Here the angle is in radian.

We have been given that

s = 16 cm, θ= 48°

We know that 1 degree = 0.0174533 radian

Hence, 48° = 0.837758 radian

On substituting these values in the formula, we get

r=\frac{16}{0.837758} \\\\r=19.1 \text{ cm}

Therefore, the value of r is r=19.1 cm

LenKa [72]3 years ago
3 0
I converted θ to radians, then put that and the length of the arc into the formula shown.

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Does anyone know how to do this please help me
Anit [1.1K]

Answer:

162°

Step-by-step explanation:

a circle has 360°, or the angle of a whole circle is that

so 45% of 360 =

0.45 times 360 = 162

7 0
3 years ago
I need a bit of help on this one: mr. james borrows money from the bank to buy a new car. he borrows 10,000 at 3% for 5 years. H
EastWind [94]

Answer:

Between $11,000-$11,500  

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Correct answer:

Between $10,000-$10,500

8 0
3 years ago
Simplify negative 7 and 1 over 8 − negative 9 and 1 over 2.
bulgar [2K]

Answer:

answer is D : 2 3/8

Step-by-step explanation:

5 0
3 years ago
You roll two six-sided dice. Match each event with its probability.
Nina [5.8K]

Answer:

A) probability the sum is 8 or 11= 4/21

B) probability that sum is 12 or less than 10 = 6/7

C) Probability that the sum is 3 or less than 3 = 2/21

D) Probability that the sum is 2 or 10 = 1/7

Step-by-step explanation:

Since we have the same probability of each event in each dice, the answer would be just to check the different outcomes, two dices, each with 1 to 6;

(1,1);(1,2);(1,3);(1,4);(1,5);(1,6);(2,2);(2,3);(2,4);(2,5);(2,6);(3,3);(3,4);(3,5);(3,6);(4,4);(4,5);(4,6);(5,5);(5,6);(6,6)

Thus, there are 21 possible outcomes.

Now,

A) probability that the sum is 8 or 11;

From the outcomes above, the number of outcomes that have a sum as 8 or 11 are;

(2,6) ; (3,5) ; (4,4) ; (5,6)

So,probability = 4/21

B) From the outcomes above, the number of outcomes that are 12 or less than 10 are;

(1,1);(1,2);(1,3);(1,4);(1,5);(1,6);(2,2);(2,3);(2,4);(2,5);(2,6);(3,3);(3,4);(3,5);(3,6);(4,4);(4,5);(6,6).

There are 18 possible outcomes.

So, probability that sum is 12 or less than 10 = 18/21 = 6/7

C)From the initial 21 outcomes, the number of outcomes that the sum is 3 or less than 3 are;(1,1);(1,2)

Thus,

Probability that the sum is 3 or less than 3 = 2/21

D) From the initial 21 outcomes, the number of outcomes that the sum is 2 or 10 are;

(1,1); (4,6) ; (5,5)

Thus,

Probability that the sum is 2 or 10 = 3/21 = 1/7

6 0
3 years ago
The quantity a varies directly with b and c and inversely with dThe quantity d is tripledWhich of the following must be true for
EastWind [94]

Answer:

We have the next relation:

A = (b*d)/c

because we have direct variation with b and d, but inversely variation with c.

Now, if we have 3d instead of d, we have:

A' = (b*(3d))/c

now, we want A' = A. If b,c, and d are the same in both equations, we have that:

3bd/c = b*d/c

this will only be true if b or/and d are equal to 0.

If d remains unchanged, and we can play with the other two variables we have:

3b'd/c' = bd/c

3b'/c' = b/c

from this we can took that: if c' = c, then b' = b/3, and if b = b', then c' = 3c.

Of course, there are other infinitely large possible combinations that are also a solution for this problem where neither b' = b or c' = c

6 0
3 years ago
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