All solutions for the inequality 5(3-x) < -2x+6
2 answers:
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Answer:
y=4√3 units
Step-by-step explanation:
Hi there!
We are given ΔABC, which is a right triangle (m<C=90°), m<A=60°, AB=8, and BC=y
We need to find the value of y (BC)
The side AB is the hypotenuse of the (the side opposite from the right angle).
BC is a leg, which is a side that makes up the right angle.
Now, if we have a right triangle that has one of the acute angles as 60°, the side OPPOSITE from that 60° angle (in this case, BC) is equal to , where a is the length of the hypotenuse
Since we have the hypotenuse given as 8, the length of BC (y) is , or 4√3
so <u>y=4√3 units</u>
Hope this helps!
Hey, Melany. To answer this problem, simply set up a proportion: . Now let's solve for x.
- Cross multiply:
- Isolate x:
This means that x = 24.
There are 24 9th graders in the band.