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forsale [732]
4 years ago
9

A water sprinkler sends water out in a circular pattern. How many feet away from the sprinkler can it spread water if the area f

ormed by the watering pattern is 1,017.36 square feet use 3.14 for pi
Mathematics
2 answers:
Alborosie4 years ago
7 0

Answer:

18

Step-by-step explanation:

1,017.36 is the area of the circle and you need to find the radius

area formula : 3.14rsquared

so the formula you are going to solve for your answer is 3.14rsquared=1,017.36

divide by 3.14

rsquared = 324

un square it to get you radius which is 18

you didnt clarify whether you wanted radisu or diameter so ill give both

R: 18

D:36

Sveta_85 [38]4 years ago
5 0

Answer:

The sprinkler can spread water up to 36 feet away!

Step-by-step explanation:

First, identify the formula used to find the area of a circle:

Area = pi x r^2

We already know the area that the sprinkler makes, so just plug that in! Then, we just need to reverse engineer the formula!

1,017.36 square feet = pi x r^2

1,017.36 square feet= 3.14 x r^2

1,017.36/3.14 = r^2

324 = r^2

sqrt of 324 = 18

So, we figured out that the radius of the circle is 18 feet! Now, remember the radius is just half the amount of the diameter!

18 x 2 = 36 feet

Hope this helps! :)

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A spy is trying to escape. She must get by four guards. Each guard takes half of her remaining money. She then $64 for her plane
Komok [63]

Answer:

The spy must have at the start the amount of $1,024 in order to escape

Step-by-step explanation:

Let

a ------> amount of money that the spy must have at the start to escape

y ----> the remaining money

x ----> the number of guards

In this problem the remaining money is going to be reduced by half, every time the spy passes through a guard, so we can use an exponential function of the form

y=a(b^{x})

where

a is the initial value (amount of money at the start)

b is the base

b=(1-r)

r is the rate of decay

In this problem we have

r=50% -----> r=0.50

The value of b is

b=(1-0.50)=0.50

substitute

y=a(0.50^{x})

we know that

In order to escape after the fourth guard the amount of money remaining must be equal to $64

so

For x=4, y=$64

substitute in the equation and solve for a

64=a(0.50^{4})

64=a(0.0625)

a=64/(0.0625)

a=\$1,024

therefore

The spy must have at the start the amount of $1,024 in order to escape

5 0
3 years ago
NEEEDDD HHEELLPP NNOOWW. URGENTT giving 100 points and brainliest The mass of an empty jar is 470 g. 6 marbles are placed in the
RUDIKE [14]

Answer:

890

Step-by-step explanation:

Well, first we should put 1.1 kg into grams (1 kg = 1000g)

1.1kg= 1100g

1100-470= 630 this is how much was added by the marbles

630/ # of marbles gives the mass of each marble

\frac{630}{6} = 105

each marble has a mass of 105 g

1100- 2m(marble)=

1100-2*105

1100-210=

890

5 0
4 years ago
Read 2 more answers
-4(3x – 7) = 52 for x.
AURORKA [14]

Answer:

-2

Step-by-step explanation:

-4(3x – 7) = 52

3x-7= -13

3x= -6

x= -2

5 0
3 years ago
Our school gets $100,000 in donations from celebrities to buy Chromebooks for class learning. Each Chromebook costs $385 plus $2
nadya68 [22]

Answer: 246 laptops.

Step-by-step explanation: if they each each take 20 for insurance and 385 then its 405 title. hen you take 100,000 and divide it by 405 getting 246.91358. but you cant buy .91358 of a computer so you round down.

5 0
3 years ago
Solve using a matrix. Show all work by hand. <br> x-5y=-5 <br> -4x-2y=20
viva [34]
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3 0
3 years ago
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