The answer is <span>b) Mia is closer because her distance to the chest is opposite the smaller angle.
In the relationship of triangle sides and its angles, the shortest side will always be opposite to the smallest interior angle. Furthermore, the largest side will always be opposite to the largest interior angle. Since Mia's distance to the treasure chest is opposite to the smaller angle 65</span>°, then she is much closer to the chest.<span> </span>
Answer:
8x+3y+6=0
transfer 8x and 6 to the equal side which becomes
3y=-8×-6
5 out of 6 is the chances NOT to roll a 5.
Approximately 83.33% of a chance to NOT roll a 5.
In square based pyramid
Length of base (a)=6cm
Slant height (l)=4 cm
Now,
LSA=2al
= 2*6*4
=48cm^2
Step-by-step explanation:
remember : the sum of all angles in a triangle is always 180 degrees.
the law of sines :
a/sin(A) = b/sin(B) = c/sin(C) with the sides being always opposite of the angles.
so,
the opposite angle of x is
180 - 90 - 58 = 32 degrees.
x/sin(32) = 11/sin(58)
x = 11×sin(32)/sin(58) = 6.873562871...
rounded x = 6.9