Answer:
There are 462.25 parts being made per hour
Step-by-step explanation:
<u>Step 1: Make an equation</u>
An automobile factory, 1849 parts are made in 4 hours.
<em>1849 / 4 = x</em>
<em />
<u>Step 2: Solve</u>
1849 / 4 = x
<em>462.25 = x</em>
<em />
Answer: There are 462.25 parts being made per hour
Answer: for every 3 triangles there are 5 squares. not 4. so the ratio is 3:5.
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Answer:
alternate interior angles
Step-by-step explanation:
<1 is congruent to <2 by alternate interior angles
Let the height of the building be x. Let the initial distance of the ant from the building be y, then
tan 32 = x/y
y = x/tan 32 . . . . . . . . (1)
tan 22 = x/(y + 66)
y tan 22 + 66 tan 22 = x
y = (x - 66 tan 22)/tan 22 . . . . . . . . (2)
Equating (1) and (2), we have
x/tan 32 = (x - 66 tan 22)/tan 22
x tan 22 = x tan 32 - 66 tan 22 (tan 32)
x(tan 32 - tan 22) = 66 tan 22 (tan 32)
x = (66 tan 22 (tan 32))/(tan 32 - tan 22) = 66(0.4040)(0.6249)/(0.6249 - 0.4040) = 16.6626/0.2208 = 75.4
Therefore, the height of the building is 75.4 feet.