Answer:
C
Step-by-step explanation:
sin(theta)=7/8, theta=arcsin(7/8)=61
Answer:
1,-1
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
+ 6 = x ( subtract 6 from both sides )
= x - 6 ( square both sides )
x = (x - 6)² ← expand using FOIL
x = x² - 12x + 36 ( subtract x from both sides )
0 = x² - 13x + 36 , that is
x² - 13x + 36 = 0 ← in standard form
(x - 4)(x - 9) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 4 = 0 ⇒ x = 4
x - 9 = 0 ⇒ x = 9
As a check
Substitute these values into the equation and if both sides are equal then they are the solutions.
x = 4
left side =
+ 6 = 2 + 6 = 8
right side = x = 4
Since 8 ≠ 4 then x = 4 is an extraneous solution
x = 9
left side =
+ 6 = 3 + 6 = 9
right side = x = 9
Thus the solution is x = 9 → B
Step-by-step explanation:
Have godd lesson :))))
You haven't provided neither the diagram nor the options.
Therefore, I cannot provide an exact answer, however, I will try to help you with the concept.
<u>For a triangle, the measure of each angle is proportional to the length of its opposite side.</u>
<u>This means that:</u>
1- The largest angle is the angle opposite to the longest side
2- The smallest angle is the angle opposite to the shortest side
Since you are looking for the largest angle, pick the one facing the longest side
<u>Some tips and tricks:</u>
<u>1- In a right angle triangle</u>, we know that the hypotenuse is the longest side, therefore, the largest angle would be the right angle
<u>2- In an obtuse triangle</u>, the largest angle is simply the obtuse angle itself (the one whose measure is greater than 90)
<u>3- In equilateral triangle</u>, all three angles are equal
Hope this helps :)