Yes. One input results in one output. the last choice is correct.
every x value will product only one y value.
X = height of pole (in meters)
With respect to the 50 degree angle, the side x is the opposite leg. It is the leg furthest from the reference angle. The hypotenuse is 5 meters.
The trig function sine ties together the opposite and hypotenuse
sin(angle) = opposite/hypotenuse
sin(50) = x/5
5*sin(50) = x .... multiply both sides by 5
x = 5*sin(50)
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Since x = 5*sin(50) isn't listed as an answer choice, let's try using cosine. We can't use it right away because we don't know the adjacent side. What we can do is change the reference angle. The missing angle of the triangle is 90-50 = 40 degrees. Let's make the 40 degree angle the reference angle
So x is now the adjacent side with respect to the 40 degree reference angle. The hypotenuse is always the longest side. The hypotenuse stays at 5.
cos(angle) = adjacent/hypotenuse
cos(40) = x/5
5*cos(40) = x
x = 5*cos(40)
This expression is listed. The answer is choice B
Answer:
a. We need 1/4 for each feeder
b. To fill each feeder we need 1.25 pounds
c. We need 60 ounces to fill three bird feeders
Step-by-step explanation:
Five pounds of birdseed is used to fill 4 identical bird feeders,
a. We divide all the birdseed in 4 feeders, so, we need 1/4 for each feeder.
b. If we use 5 pounds for the 4 feeders, so each feeders will take 1/4 of the 5 pounds
=1/4 x 5=1.25 pounds
c. To fill three bird feeders we have to multiply the amount of pounds by feeder by 3 feeders
=1.25 pounds x 3
= 3,75 pounds
If 16 ounces are a pound
so, 16 x 3.75 = 60 ounces
Answer:
unknown, because the cost of the sandwich, a drink and a bag of chips where not listed in the question
