Barney is eight years older than Nemo. In seven years the sum of their ages will be 46. How old is Barney now?.
1 answer:
You might be interested in
Answer: the height of the lighthouse is 838.8 feet
Step-by-step explanation:
The right angle triangle ABC illustrating the scenario is shown in the attached photo.
The angle of depression and angle A are alternate angles, hence, they are the equal.
The height, h of the lighthouse represents the opposite side of the right angle triangle. The distance of the boat from the foot of the lighthouse represents the adjacent side of the right angle triangle.
To determine h, we would apply
the tangent trigonometric ratio.
Tan θ, = opposite side/adjacent side. Therefore,
Tan 62 = h/446
h = 446tan62 = 446 × 1.8807
h = 838.8 feet to the nearest tenth.
Answer:
Option A, B and E
Step-by-step explanation:
Determinant = ad-bc
Let's look at the picture and solve all
<u><em>Option A)</em></u>
If the row ( c and d ) is zero, the determinant will be zero
=> a(0)-b(0)
=> 0-0
=> 0 (So, True)
<u><em>Option B) </em></u>
If a = b = c = d (Let's say 1), the determinant will be
=> (1)(1)-(1)(1)
=> 1-1
=> 0 (So, True)
<u><em>Option C)</em></u>
An Identity matrix is
=>
So , it's determinant will be
=> (1)(1)-(0)(0)
=> 1-0
=> 1 (So, False)
<u><em>Option D)</em></u>
The determinant with matrix will all positive numbers can be negative as well as positive. This is not necessary that it would be positive. (So, False)
<u><em>Option E)</em></u>
A zero matrix is
=>
So, it's determinant is:
=> (0)(0)-(0)(0)
=> 0-0
=> 0 (So,True)
