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
210 : 65
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42 : 13 is the ratio of 210mm long and 65mm wide
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<span>divide both numbers by 5</span>
15c
The team has fifteen members and each member sells an unknown amount of coupon books.
Okay, so YZ = 3 cm. You have XM correct. And YM = 0.5.
Now, you have the midpoint M at the correct spot.
Use Pythagorean's theorem o find the length of AB. a² + b² = c² a=6, b=8.
6² = 36 8² = 64 36 + 64 = 100 AB = 10!
If AB = 10 then AM = 5 MB also = 5
If B is the midpoint of AC, C would be 12 rows down from A, and 16 columns to the right. The last spot where the line intersects.
There are your answers!
Answer:
100 is inital value of that decrease