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Ksivusya [100]
3 years ago
11

What is the length of arc S shown below?

Mathematics
1 answer:
blondinia [14]3 years ago
5 0

Answer:

15π or 47.12

Step-by-step explanation:

Given that :

θ = 3π/2

Radius, r = 10

Length of arc S :

Using the relation :

S = rθ ; r = central angle in radian

S = 10 * 3π/2

S = 30π/2

S = 15π or 47.12

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Find the number if:
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Answer:

162 and \frac{5}{2}

Step-by-step explanation:

To find the original number multiply by the reciprocal of the multiplier, that is

90 × \frac{9}{5} = \frac{810}{5} = 162

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Similarly

Change the mixed number into an improper fraction

5 \frac{5}{6} = \frac{35}{6} , then

\frac{35}{6} × \frac{3}{7} ( cancel 35 and 7 by 7 / cancel 6 and 3 by 3 )

= \frac{5}{2} × \frac{1}{1}

= \frac{5}{2}

7 0
3 years ago
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marta [7]
Y= -1 +1/1. I hope it’s correct if not u can use desmos
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3 years ago
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Find a recursive formula for the sequence:<br><br> 1, -1, -7, -25
Mumz [18]
<h3>Answer:</h3>

a_n=3a_{n-1}-4

<h3>Step-by-step explanation:</h3>

<em>Try the answers</em>

You can try the answers to see what works. You can expect all of the choices to match the first two terms, so try some farther down. Let's see if we can get -25 from -7.

a) 3*(-7) -4 = -21 -4 = -25 . . . . this one works

b) -7 -2 = -9 . . . . ≠ -25

c) -3(-7) +2 = 21 +2 = 23 . . . . ≠ -25

d) -2(-7) +1 = 14 +1 = 15 . . . . ≠ -25

The formula that works is the first one.

_____

<em>Derive it</em>

All these formulas depend on the previous term only, so we can write equations that show the required relationships. Let the unknown coefficients in our recursion formula be p and q, as in ...

a_n=p\cdot a_{n-1}+q

Then, to get the second term from the first, we have

... 1·p +q = -1

And to get the third term from the second, we have

... -1·p +q = -7

Subtracting the second equation from the first gives ...

... 2p = 6

... p = 3 . . . . . . . this is sufficient to identify the first answer as correct

We can find q from the first equation.

... q = -1 -p = -1 -3 = -4

So, our recursion relation is ...

a_n=3a_{n-1}-4

6 0
3 years ago
I am a multiple of 3 and 5. the sum of my digits is 9. what number am I?
iVinArrow [24]

Answer:

The answer is 45.

Step-by-step explanation:

This number is a multiple of 3 and 5, since it is divisible by both of these numbers.

4 + 5 equals 9, which is what it means by the sum of it's digits.

I hope this helps!

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3 0
3 years ago
I NEED HELPPPppp!!!!
CaHeK987 [17]

Answer:

answer  choice D

Step-by-step explanation:

x => 6 - 4x > 18

= 6-18 > 4x

= - 12 > 4x

= -3 > x

= x < -3

5 0
3 years ago
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