The length of the base diagonal (d) can be found using the Pythagorean theorem on length and width:
... d = √((3 in)² +(13 in)²) = √(9+169) in = √178 in
The tangent of the angle you want to find is the ratio of the height of the box to this length:
... tan(α) = 4/√178
Taking the arctangent, we have
... α = arctan(4/√178) ≈ 0.291285 radians
Answer:
n=22
Step-by-step explanation:
20-9=11
0.5 x n =11
11/0.5=22
n=22
Answer:
2 feet
Step-by-step explanation:
1 pm = 8ft
<em> 2pm = 6ft </em>The rate of change is 2
<em> 3pm = 4ft </em>
4pm = 2ft
Given is a function f(x) and function g(x) is formed when f(x) is shifted 4 units to the right.
Since the transformation is on x-axis, so it would be g(x)= f(x+k).
Positive values of k shifts the original graph to the left and Negative values of the k shifts the original graph to the right.
'4 units to the right' means k = -4.
So, it would be g(x) = f(x-4).
Given f(x) = -[x]
Therefore g(x) = f(x-4) = -[x-4]
Hence, option C is correct i.e. g(x) = - [x - 4].
Answer: 55.5 (A.)
Step-by-step explanation:
Since angle A = 29 and angle B = 41, angle C must be equal to 110
180 = m<A + m<B + m<C
180 = 29 +41 + m<C
180 = 70 + m<C
110 = m<C
Therefore, side c must be the longest, side b must be the second longest, and side a must be the shortest.
Since side length a, angle A, and angle B are known, one can use the law of sines to solve for side b.
Law of Sines: sinA/a = sinB/b = sinC/c
sinA/a = sinB/b
sin29/41 = sin41/b
b(sin29/41) = sin41
b = 41(sin41)/(sin29)
b = 55.48
b = 55.5