Given :
A sailor is 30 m above the water in the crow's nest on a sailboat.
The sailor encounters an orca surface at an angle of depression of 15 degrees.
The crows nest is 20 m horizontally from the bow (front) of the boat.
To Find :
How far in front of the boat is the orca.
Solution :
Let, distance of boat front from the crow's nest is x.
So,
Hence, this is the required solution.
Answer:
<h2>Amanda needs 72 grams of paint</h2>Step-by-step explanation:
Notice that she already painted one face of each cube, that is, 8 faces in total, and she used 24 grams for that.
Now, there remain 3 faces per cube to be painted, which means there are 24 faces.
Then, we use the rule of three, if she used 24 grams of paint for 8 faces, how much grams of paint she would need to paint 24 faces?
Therefore, Amanda needs 72 grams of paint for the unpainted surfaces.
For this case we have:
Let a function of the form
By definition, to graph , where
, we must move the graph of f (x), h units to the left.
We observe that the red graph has the same form as the black graph, but it is displaced "h" units to the left.
It is observed that
So, if the black graph is given by, the red graph is given by:
Answer:
Option A
Answer:
7,11
Step-by-step explanation:
The width is x. x+4= the length. The area is side times side, so it’s
x × (x+4) = 77
We can simplify this to:
x × x + x × 4 = 77
x^2 + 4x = 77
x^2 + 4x - 77 = 0 This is a quadratic equation. So we can solve using the quadratic formula:
x = ->
That’s the positive solution and that’s x, the width. So the width is 7 and the length is 7+4=11