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photoshop1234 [79]
3 years ago
5

Find the arc length of the partial circle.

Mathematics
1 answer:
katovenus [111]3 years ago
5 0

Answer:7.5π

Step-by-step explanation:

Φ=360-90

Φ=270

Radius=r=5

Length of arc=Φ/360 x 2 x π x 5

Length of arc=270/360 x 2 x π x 5

Length of arc=0.75 x 2 x π x 5

Length of arc=7.5π

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skelet666 [1.2K]

Answer:

38 m/s

Step-by-step explanation:

We are given that

D represent Rachel's remaining distance( in meters ) as  a function of time is given by

D=-38t+220

We have to find the Rachel's speed.

We know that

Velocity=\frac{ds}{dt}

Substitute the values then we get

v=\frac{d(-38t+220)}{dt}=-38 m/s

Speed =\mid v\mid

Speed =\mid -38\mid =38m/s

Hence, the Rachel's speed is given by =38 m/s

4 0
3 years ago
Mrs. Johnson is renting a car for vacation and plans to drive a total of 800 Miles. A rental car company charges $153 for the we
ch4aika [34]
No, she cannot afford the car. 
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3 years ago
Read 2 more answers
Find the amount of each payment to be made into a sinking fund which earns 9​% compounded quarterly and produces ​$43 comma 000
Solnce55 [7]

Answer:

$2647.18

Step-by-step explanation:

Formula : A[\frac{1+(\frac{r}{n})^{n}-1 }{(\frac{r}{n} )}]

Future value = $43,000

r = rate of interest = 9% = 0.09

t = 3.5 years (compounded quarterly)

n = number of compounding (3.5 × 4) = 14

Now put the values into formula :

43000 = A[\frac{1+(\frac{0.09}{4})^{14}-1 }{(\frac{0.09}{4} )}]

43000=A(\frac{(1+0.0225)^{14}-1}{\frac{0.09}{4}})

43000=A(\frac{(1.0225)^{14}-1}{0.0225})

43000=A(\frac{0.365483427}{0.0225})

43,000 = A(16.243708)

A = \frac{43000}{16.243708}

A = $2,647.17883 ≈ $2647.18

5 0
3 years ago
Your local grocery store is having a
galina1969 [7]

Answer:

You should buy a 12-pack of 12 oz cans for $4.75 rather than seven 20 oz bottles that are on sale for $0.90 because seven 20 oz bottles that are on sale for $0.90 cost $6.30 all together which means  a 12-pack of 12 oz cans for $4.75 is cheaper than seven 20 oz bottles that are on sale for $0.90.

5 0
3 years ago
In the Hawaiian Beach Boy surf board vendor scenario, what if the fine was increased to $190 but the probability of a fine decre
zloy xaker [14]

Answer:

$190.50

Step-by-step explanation:

Expected value is the sum of each possible income multiplied by its probability.

There's a 5% chance that the vendor makes $200 and loses $190 (net gain of $10).

There's a 95% chance that the vendor makes $200 and loses $0 (net gain of $200).

So the expected value is:

Exp(RS) = $10 × 0.05 + $200 × 0.95

Exp(RS) = $190.50

5 0
3 years ago
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