Answer:
dependent
Step-by-step explanation:
The given system is :
15x-18=3y
5x=y+6
Rewrite the equations in standard form to get:
15x-3y=18
5x-y=6
Multiply the bottom equation by 3.
15x-3y=18
15x-3y=18
Sub both equations:
0-0=0
0=0
We got an identity
The system is dependent because there are infinitely many solutions
Answer:
Step-by-step explanation:
1) the triangle is a right angle triangle.
From the given right angle triangle,
With 67° as the reference angle,
x represents the adjacent side of the right angle triangle.
17 represents the opposite side of the right angle triangle.
To determine x, we would apply
the Tangent trigonometric ratio.
Tan θ = opposite side/adjacent side.
Therefore,
Tan 67 = 17/x
xTan 67 = 17
x = 17/Tan 67
x = 17/2.3559
x = 7.22
2) From the given right angle triangle, with 24° as the reference angle,
x represents the opposite side of the right angle triangle.
12 represents the adjacent side of the right angle triangle.
To determine x, we would apply
the Tangent trigonometric ratio.
Tan θ = opposite side/adjacent side.
Therefore,
Tan 24 = x/12
x = 12Tan 24
x = 12 × 0.4452
x = 5.34
The volume of a pyramid is given by:
Where:
• Ab is the area of the base,
,
• h is the height.
In this case, we have:
• a = 3 units,
,
• b = 7 units,
,
• c = 9 units,
,
• Ab = b * c,
,
• h = a = 3 units.
Replacing the data in the formula above, we get:
Answer: 63 units³
It would be 4.0
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