Answer:
yards
Step-by-step explanation:
0.92085175 radians
Let's first calculate the length of the diagonal of the base. Using the Pythagorean theorem:
b = sqrt(9^2 + 7^2) = sqrt(81 + 49) = sqrt(130) = 11.40175425
Now the length of the diagonal to the box. Once again, using the Pythagorean theorem:
d = sqrt(15^2 + 11.40175425^2) = sqrt(225 + 130) = sqrt(335) = 18.84144368
We now have a right triangle where we know the lengths of all three sides. The lengths are:
a = 15
b = sqrt(130) ≠11.40175425
c = sqrt(335) ≠18.84144368
we want the angle opposite to side a. So
tan(A) = 15/11.40175425 = 1.315587029
A = atan(1.315587029)
A = 0.92085175 radians
Answer:
x = ⅓ acos(y/7) + π/18, [-7, 7/2]
Step-by-step explanation:
y = 7 cos(3x − π/6)
Solving for x:
y/7 = cos(3x − π/6)
acos(y/7) = 3x − π/6
acos(y/7) + π/6 = 3x
x = ⅓ acos(y/7) + π/18
The domain of x is the same as the range of y.
When x = π/6:
y = 7 cos(3π/6 − π/6)
y = 7 cos(π/3)
y = 7/2
When x = 7π/18:
y = 7 cos(21π/18 − π/6)
y = 7 cos(π)
y = -7
So the domain of x as a function of y is [-7, 7/2].
Answer: 3.84 m
Step-by-step explanation: The biggest clue here is that the scale factor is 1:12.
1:12=32:
To find , multiply 32 by 12. 32x12 is 384. You can't say the answer is 384, however, since the label for the actual water tower says "m" for meters instead of "cm" like for the model. 384 cm is equal to 3.84 m.
Hope this helped! ;)
