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Sergio039 [100]
3 years ago
10

A water sprinkler has a range of 5 meters as shown. The jet of water from the sprinkler sweeps out at an angle of 85° as the noz

zle turns. Solve for the total area watered by the sprinkler. Use the value π = 3.14, and round your answer to one decimal place.
a. 15.6 Square Meters
b. 17.8 Square Meters
c. 18.5 Square Meters
d. 19.2 Square Meters

Mathematics
2 answers:
kipiarov [429]3 years ago
8 0

Answer:

C. 18.5 Square Meters

Hope it helps :)

telo118 [61]3 years ago
6 0
I found the image that accompanied this problem.
We need to solve for the area of the sector.

A = n/360 * π * r²
A = 85/360 * 3.14 * 5²
A = 0.2361 * 3.14 * 25
A = 18.5347 

Answer is C. 18.5 square meters.
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she adds two blocks each time

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The data set represents a progression of hourly temperature measurements.Use the regression equation to predict the temperature
zimovet [89]
I will attach google sheet that I used to find regression equation.
We can see that linear fit does work, but the polynomial fit is much better.
We can see that R squared for polynomial fit is higher than R squared for the linear fit. This tells us that polynomials fit approximates our dataset better.
This is the polynomial fit equation:
T(h)=20.2-3.6h-0.875h^2
I used h to denote hours. Our prediction of temperature for the sixth hour would be:
T(6)=20.2-3.6(6)-0.875(6)^2=-32.9
Here is a link to the spreadsheet  (<span>https://docs.google.com/spreadsheets/d/17awPz5U8Kr-ZnAAtastV-bnvoKG5zZyL3rRFC9JqVjM/edit?usp=sharing)</span>

4 0
3 years ago
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An hourglass consists of two sets of congruent composite figures on either end. Each composite figure is made up of a cone and a
belka [17]
Answer: third option 268.8

Explanation:

For this kind of proble it is very important that you attach the figure because it contains important information to understand the question.

I have attached the figure for better understanding.

1) The top portion (and the bottom is congruent but rotated 180°) of the hourglass is a figure equivalent to a cylinder on top and a cone on bottom.

So the total volume contained in the top portion is the volume of a cylinder + the volume of a cone.

This is how you calculate the volume of the top portion:

1) The height of the cylinder is 54 mm - 18 mm = 36 mm

2) The formula for the volume of a cylinder is V = π (radius)^2 * height

radius = 8 mm
height = 36 mm

=> V = π(8mm)^2 * 36 mm = 2304π (mm)^3

3) The formula for the volume of a cone is V = (1/3)π(radius)^2 * height

radius = 8 mm
height = 18 mm

V = (1/3)π(8mm)^2 * 18 mm = 384π (mm)^3

4) The total volume of the top portion is volumen of the cylindrical part + voume of the cone:

Total voluem = 2304π (mm)^3 + 384π (mm)^3 = 2688π (mm)^3

5) To find the number of seconds <span>it take until all of the sand has dripped to the bottom of the hourglass you have to divide the total volumen of sand by the rate:

time in seconds = total volume of sand / rate of dripping

time in seconds = [2688 π (mm)^3 ] / [10π (mm)^3 / s] = 268.8 s

That is the answer: 268.8 s
</span>

4 0
3 years ago
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72 is what percent of80
snow_lady [41]
72/80=0.9

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Read 2 more answers
Is -0.025 greater or less than -0.14?
AlekseyPX

Answer:

less than

Step-by-step explanation:

-0.025 is further away from -0.14 in the number line.

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