Asprinkler sprays water over a distance of 40 feet and rotates through an angle of 80 degrees. find the area watered by the sprinkler.

a: 1117.01 ft^2
b: 558.51 ft^2
c: 111.70 ft^2
d: 55.85 ft^2

i will give test grade and test is timed!

Option: A

Step-by-step explanation:

A sprinkler sprays water over a distance of (r) = 40 feet

Rotates through an angle of (θ) =  80°

80° convert to radians

θ in Radians = 1.396263402

We know that,

Area of sprinkler is

Substitute the given values,

Area of sprinkler is

first option

a function is a relation in which an input is paired with exactly one output.

so, let's find the right answer.

in our first option, our inputs are january, february, and march. the outputs are 30, 28, and 25. each input has it's own output. this is correct!

our second option we know is incorrect, because ms. valverade has two outputs, dogs and cats. this is not a function.

our third option is incorrect as well. the yellow square has two ouputs, the square and the triangle.

lastly, in our fourth option, we see the number 7 two times with a different output. therefore, this is not a function.

remember: each input must be paired with only one output!

hello,

b) 62.47% of the students are between 14 and 18 years old.

step-by-step explanation:

mean = 15 and standard deviation = 2

student between 14 to 18

formula used z-score

for age 14 , z score

using z-table , p(z> -0.5)=0.3085

for age 18 , z score

using z-table , p(z< 1.5)=0.9332

p(-0.5< z< 1.5)=0.9332-0.3085 = 0.6247

thus, 62.47% of the students are between 14 and 18 years old.

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