Answer:
Step-by-step explanation:
In a 30-60-90 triangle, the ratio of the lengths of the angles' opposite sides are <em>1-√3-2</em>.
If the long leg is 8, then the short one is 8/√3, or <em>8√3/3</em>.
Therefore, the hypotenuse, which is <em>double the short leg</em>, is 16√3/3.
Step-by-step explanation:
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- Length ( l ) = 4 cm
- Width ( w ) = 2 cm
- Height ( h ) = 5 cm
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- Total surface area of a cuboid
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Plug the known values :
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Surface area is just the area of all these 4 triangles plus the rectangle.
First we can find the area of the rectangle.

Half of the length is 28 cm, so the full length must be 28 * 2 = 56 cm.


The base for the left and right triangles are 27. The heights would be the net length minus half the length of the rectangle:

Calculate the area:



We have two of these triangles.

Now do the other two pair of triangles. The bases for them are 28 + 28 = 56 cm. The heights would be the net width minus the width of the rectangle:

Now find the area:



We have two of these triangles.

Add all the areas together:
The answer to question #5 is 17
Answer:
Step-by-step explanation:
A line perpendicular to the y-axis, which is vertical, is a line that is horizontal. Perfectly horizontal lines always have a slope of 0. Thus, the equation of the line perpendicular to the one given and passing through the given point (5, 1) is
y - 1 = 0(x - 5) and
y - 1 = 0x - 0 and
y - 1 = 0 so
y = 1 is the equation you're looking for.