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:
14
Step-by-step explanation:
PEMDAS - First Do Parentheses
29-3(5)
Then Do Multiplication
29-15
Then Finish with Subtraction
<u>14</u>
Step-by-step explanation:
this creates 2 similar triangles.
that means all angles are the same. and all the side lengths of one triangle correlate to the corresponding side lengths of the other triangle by the same multiplication factor.
her shadow is 23.05 - 18.9 = 4.15 m long.
the factor between the shadow lengths is then
4.15 × f = 23.05
f = 23.05 / 4.15 = 5.554216867...
the same factor now applies to the relation of the heights :
1.45 × 5.554216867... = 8.053614458... m
rounded the tree is 8.05 m tall.
Answer: LAST OPTION.
Step-by-step explanation:
1. You have the following equation:
2. Then you must solve for x, as following:
Therefore, as you can see above, the answer for the exercise is the last option.
