Answer:
see explanation
Step-by-step explanation:
To find x use the sine ratio in the right triangle and the exact value
sin60° = 
, then
sin60° = 
= 
= ( cross- multiply )
x 
= 28 ( divide both sides by )
x = 28
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To find y use the tangent ratio in the right triangle and the exact value
tan60° = , then
tan60° = 
= 
= ( multiply both sides by y )
14 = y ( divide both sides by )
y = 14
Answer:
Yes
Step-by-step explanation:
3, 4, 5 is a pythagorean triplet, meaning they satisfy the Pythagorean theorem.
*The width in your question - I assumed it is refers to the height of the triangle base.
Volume of a triangle prism = base area x height
The base is a triangle:
Volume of a triangle prism = (1/2 x base x height₁) x height₂
Plug in the values and solve for height₂:
50.4 = (1/2 x 9 x 3.5) x height
50.4 = 15.75 x height
height = 50.4 ÷ 15.75
height = 3.2 units
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Answer: Height = 3.2 units
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Answer:
y=-4x+9
Step-by-step explanation:
a line parallel to another line means the two lines have the same slope
so you can already cross out the second and last equation
the y-intercept is 9 so it is positive, not a negative 9
