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mylen [45]
3 years ago
15

A circular rug has a diameter of 10 feet. A liquid stain protectant cost $1.75/sq ft. How much will it cost to put the stain pro

tectant on the entire rug?
Mathematics
1 answer:
Veronika [31]3 years ago
6 0

Answer:

$137.45

Step-by-step explanation:

First, we need to find the area of the circular rug in square feet.

Then we will multiply that with 1.75 to get total cost.

First,

Area of Circle = \pi r^2

Where r is the radius (which is half of diameter)

Given, diameter = 10 feet

Radius = 10/2 = 5 feet

Now, the area (A) :

A=\pi r ^2\\A = \pi (5)^2\\A = 25\pi\\A= 78.54

So, total cost would be:

78.54 * 1.75/sq ft = $137.45

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Find the geometric mean. 4a and a; 4a and 2a.
pishuonlain [190]
<span>Solve for "x":
a/x = x/4a
---
x^2 = 4a^2
x = 2a</span>
5 0
3 years ago
A factory whistle blows every 30 minutes. The clock tower chimes every 15 minutes. If they both sounded at 1:00 p.M.,at what tim
madam [21]

Answer:

1.30 p.M.

Step-by-step explanation:

The factory whistle blowed at 1:00 p.M, and it blows every 30 minutes, so it will blow again at 1:30 p.M.

The clock tower chimed at 1.00 p.M., and it chimes every 15 minutes, so it will chime again at 1:15 p.M, and after that, it will chime again at 1:30 p.M.

So, you will hear them both at the same time at 1:30 p.M.

We can also solve this problem using LCM:

the least commom multiple between 15 and 30 is 30, so we just need to sum 30 to the inicial time (1:00 p.M.), so the time they will "find each other" again is 1.30 p.M.

7 0
2 years ago
At a particular fast food restaurant, tacos cost $1.29 and
Arlecino [84]

Answer:

Michael bought 18 tacos and 9 burritos.

Step-by-step explanation:

Since at a particular fast food restaurant, tacos cost $ 1.29 and burritos cost $ 2.19, and Michael spent a total of $ 42.93 at the restaurant to buy food for a party, if he purchased half as many burritos as tacos, to determine how many tacos did he buy, the following calculation must be performed:

1.29 x 20 + 2.19 x 10 = 47.7

1.29 x 16 + 2.19 x 8 = 38.16

1.29 x 18 + 2.19 x 9 = 42.93

So Michael bought 18 tacos and 9 burritos.

4 0
2 years ago
If a spring is oscillating (moving) according to the velocity equation v(t) = 2sin(t) (in ft/s), then what is its displacement o
Feliz [49]

ANSWER

4 ft

EXPLANATION

The velocity equation of the oscillating spring is given by the function.

v(t)=2  \sin(t)   \:  \:  {ms}^{ - 1}

To find the displacement function, we need to to Integrate the velocity function.

s(t) = \int \: 2 \sin(t) dt

s(t) =  -  2 \cos(t)  + k

At time t=0, there was no displacement.

This implies that,

s(0) = 0

0=  -  2 \cos(0)  + k

0=  -  2 + k

k = 2

The displacement function then becomes,

s(t) =  -  2 \cos(t)  + 2

To find the displacement over the first π seconds, we put

t = \pi

into the equation for the displacement to get,

s(\pi) =  -  2 \cos(\pi)  + 2

s(\pi) =  -  2 ( - 1)  + 2

s(\pi) =  2  + 2 =4 ft

7 0
3 years ago
Find the area of a circle with radius, r = 5.7m.
goldenfox [79]

Answer:

the area of the circle is 102.11 square metres

6 0
3 years ago
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