Use the sine theorem:
sin(angle A) / length of side a = sin (angle B) / lenght of side b
Here:
angle A = 32°
length of side a = length from school to library = x
angle B = 110°
length of side b = 2.2 mi
Then, sin(32°) / x = sin(110°) / 2.2 mi
=> x = 2.2 mi * sin (32) / sin (110)
x = 1.24 mi
Therefore the answer is the option B. 1.2 mi
Answer:
there are four significant figures
Step-by-step explanation:
zeros to the right of a non zero digit are ambiguous
Answer:
x=-1, y = 2, z = 1
Step-by-step explanation:
We are given with three equations and we are asked to find the solution to them.
2x + 2y + 3z = 5 ------------- (A)
6x + 3y + 6z = 6 --------------(B)
3x + 4y + 4z = 9 ---------------(C)
Step 1 .
multiplying equation (A) by 3 and subtracting B from the result
6x + 6y + 9z = 15
6x + 3y + 6z = 6
- - - = -
_______________
3y+3z=9
y+z=3
y=3-z ----------------- (C)
Step 2.
Substituting this value of y in equation B and C
6x + 3(3-z) + 6z = 6
6x+9-3z+6z=6
6x+3z=-3
2x+z=-1 ----------------(D)
3x + 4(3-z) + 4z = 9
3x+12-4z+4z=9
3x=-3
x=-1 ------------ (E)
Putting this value f x in (D)
2(-1)+z=-1
-2+z=-1
z=1
Now we put this value of z in equation (C)
y=3-z
y=3-1
y=2
Hence we have
x=-1, y=2 and z=1
Answer:
B) Rays AB and AE
Step-by-step explanation:
Though A-F, A-D, and A-C all meet at one point on line B-E, point A, they aren't a <em>part</em> of it. Point A on line B-E marks the "midpoint" of it, and therefore, ray A-E and A-B are part of line B-E.
Answer:
64 c^2
Step-by-step explanation:
If the base is 8c and the height is 8c
A = bh
= (8c) * (8c)
= 84 c^2
