Answer:
y = -2x +20
6x - 5y = 12
Put the value of y in 2nd equation
6x - 5( -2x +20 ) = 12
6x +10x -40 = 12
16x = 12 +40
16x = 52
x = 13/4
Putting the value of x in equation 1
y = -2x +20
y = -2(13/4 ) +20
y = 27/2
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If you sketch the man and the building on paper, you'll have a
right triangle. The right angle is the point where the wall of
the building meets the ground. The height of the building
is one leg of the triangle, the line on the ground from the
building to the man's feet is the other leg, and the line
from his feet to the top of the building is the hypotenuse.
We need to find the angle at his feet, between the hypotenuse
and the leg of the triangle.
Well, the side opposite the angle is the height of the building -- 350ft,
and the side adjacent to the angle is the distance from him to the
building -- 1,000 ft.
The tangent of the angle is (opposite) / (adjacent)
= (350 ft) / (1,000 ft) = 0.350 .
To find the angle, use a book, a slide rule, a Curta, or a calculator
to find the angle whose tangent is 0.350 .
tan⁻¹(0.350) = 19.29° . (rounded)
Answer:
Inverse of f exists.
Step-by-step explanation:
From the graph attached,
If we do the horizontal line test for the function graphed,
We find the function as one to one function.
In other words for every input value (x-value) there is a different output value.
Since, for one-to-one functions, inverse of the functions exist.
Therefore, the answer will be,
The inverse of 'f' exists.
Answer:
C Cos32
Step-by-step explanation:
Answer:
The height of deepness of submarine is 424.1 feet
Step-by-step explanation:
Given as :
The angle at which submarine drives of the surface of water = Ф = 13°
The speed at which submarine travel = s = 760 feet per minute
Let The height of deepness of submarine = h feet
The time taken to reach that deepness = t = 5 minutes
<u>According to question</u>
The height of deepness of submarine = 
i.e h × cos(90 - Ф) = 
Or, h × Sin(Ф) = 
Or, h × Sin(13°) = 95 feet
Or, h × 0.224 = 95 feet
∴ h = 
i.e h = 424.10 feet
So, The height of deepness of submarine = h = 424.10 feet
Hence, The height of deepness of submarine is 424.1 feet Answer