Answer: a) -6, b) 32, c) -48, d) 9, e) -12
Step-by-step explanation:
Since we have given that
A and B are 4 × 4 matrices.
Here,
det (A) = -3
det (B) = 2
We need to find the respective parts:
a) det (AB)

b) det (B⁵ )

c) det (2A)
Since we know that

so, it becomes,

d) 
Since we know that

so, it becomes,

e) det (B⁻¹AB)
As we know that

so, it becomes,

Hence, a) -6, b) 32, c) -48, d) 9, e) -12
Answer: -3
Step-by-step explanation:
-10+7=-3
20) 13=2f+5
2f=8
f=4
6x<=3
x<=1/2
-f-5(2f-3)=-f-10f+15=-11f+15
answer B
45+0,15*45=45+6,75=51,75$
Draw a diagram to illustrate the problem as shown in the figure below.
Let h the height of the hill. =
At position A, the angle of elevation is 40°, and the horizontal distance to the foot of the hill is x.
By definition,
tan(40°) = h/x h = x tan40 = 0.8391x
(1)
At position B, Joe is (x - 450) ft from the foot of the hill. His angle of elevation is
40 + 18 = 58°.
By definition, tan(58°) = h/(x - 450)
h = (x - 450) tan(58°) = 1.6003(x-450)
h = 1.6003x - 720.135 (2)
Equate (1) and (2).
1.6003x - 720.135 = 0.8391x 0.7612x = 720.135
x = 946.0523
From (1), obtain
h = 0.8391*946.0523 = 793.8 ft
Answer: The height of the hill is approximately 794 ft (nearest integer)
Answer:
-7j-k-1
Step-by-step explanation: