Answer: the third option is the correct answer
Step-by-step explanation:
From the given right angle triangle,
The hypotenuse of the right angle triangle is 16√3
With m∠30 as the reference angle,
the adjacent side of the right angle triangle is x.
the opposite side of the right angle triangle is y.
To determine x, we would apply
the cosine trigonometric ratio.
Cos θ, = adjacent side/hypotenuse. Therefore,
Cos 30 = x/16√3
√3/2 = x/16√3
x = √3/2 × 16√3 = 3 × 8
x = 24
To determine y, we would apply
the Sine trigonometric ratio.
Sin θ, = opposite side/hypotenuse. Therefore,
Sin 30 = y/16√3
1/2 = y/16√3
y = 16√3 × 1/2
y = 8√3
Answer:
Step-by-step explanation:
Consider irght triangle PRS. By the Pythagorean theorem,
Thus,
Consider isosceles triangle MSC. In this triangle
The area of this triangle is
Consider right triangle PTS. The area of this triangle is
The area of the quadrilateral PMCT is the difference in area of triangles PTS and MSC:
<span>The
associative rule is a rule about when it's safe to move parentheses
around. You can remember that because the parentheses determine which
expressions you have to do first--which numbers can associate with each
other. It looks like this:
For addition: (a + b) + c = a + (b + c)
For multiplication: (ab)c = a(bc)
The commutative property is about which operations you can do backward
and forward. You can remember this by thinking of people commuting to
work: they go to work every morning, then they repeat the same operation
backward when they commute home. It looks like this:
For addition: a + b = b + a
For multiplication: ab = ba
Finally, the distributive property tells you what happens when you
distribute one operation against another kind in parentheses. It looks
like this:
a * (b + c) = ab + ac
In other words, the a is "distributed" over the b and c.
Of course, you can make these work together:
a * (b + (c + d))
= a * ((b + c) + d) (by the associative property)
= a * (d + (b + c)) (by the commutative property)
= ad + a (b + c) (by the distributive property)
= ad + ab + ac (by the distributive property again).
Hope this helps. </span>
Answer:
48cm
Step-by-step explanation:
96/12=8
This means that 8 is the factor by which the diagram and the actual ramp vary
so then you multiply 8 times the height on the diagram to find the true height
8x6=48
Answer:
2
Step-by-step explanation:
the formula is y=mx+b
b is the y in which is 3
the m means slope which is in front of the x
so the slope is 2
