Answer: 900
Step-by-step explanation:
12% means 0.12
total amount means X
"of" means multiply
"is" means equal sign
0.12 * X = 108 / Divide both sides by 0.12
X = 108 / 0.12 = 900
<h3>
Answer: Yes, those sides form a right triangle</h3>
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Work Shown:
a^2+b^2 = c^2
15^2+20^2 = 25^2
225+400 = 625
625 = 625
Since the last equation is true, this makes the first equation true for those a,b,c values. Therefore, by the pythagorean theorem converse, this is a right triangle.
Side note: c is always the longest side.
Step-by-step explanation:
2sin(x)cos(x) - sin(x) + 2cos(x)-1= 0
<=> sinx( 2cosx -1) + ( 2cosx -1) =0
<=> (sinx +1) + ( 2cosx-1)=0
<=> sinx=-1 or cosx= 1/2
+) sinx=1 => x= pi/2 + k×2pi
+)cosx=1/2 => x= pi/3+ k×2pi or x=-pi/3 + k×2pi
x€ [0,2pi] => x= pi/2, pi/3.
Answer:
190
Step-by-step explanation:
57.5 x 2=115 so that is the arc for CE
then you add that to 55 to get 170
a circle is 360 so then you subtract 360 for 170