Answer:
The smallest number is 0.008
Step-by-step explanation:
To find out which number is the smallest we convert the decimals to percentages
That's
0.008 × 100= 0.8%
1/3 × 100 = 33.3%
0.048 × 100 = 4.8%
0.36 × 100 = 36%
1/9 × 100 = 11.1%
Comparing from the above percentages the smallest one is 0.8% which is
0.008.
Hope this helps you.
Applying the tangent ratio, the distance across the suspension bridge is: 499.2 ft.
<h3>What is the Tangent Ratio?</h3>
Where we are given a right triangle, the tangent ratio is determined using the formula, tan ∅ = opposite side/adjacent side.
The diagram atatched beow whos the distance across the suspension bridge which consists of 6 identical right triangles.
Find the adjacent side of each right triangle using the tangent ratio:
∅ = 32
Opposite side = 52 ft
Adjacent side = x
Plug in the values into the tangent ratio:
tan 32 = 52/x
x = 52/tan 32
x = 83.2 ft.
Distance across the suspension bridge = 6(83.2) = 499.2 ft.
Therefore, applying the tangent ratio, the distance across the suspension bridge is: 499.2 ft.
Learn more about the tangent ratio on:
brainly.com/question/4326804
In this question , we have to find the value of tan 30 and we need to write the answer in simplified form .

Substituting the values of sin (30) and cos(30, we will get

Multiplying both numerator and denominator by 2, we will get

TO simplify it, we need to multiply both numerator and denominator by square root 3.

If "a" and "b" are two values of x-coordinate, and "m" is the midpoint between them, it means the distance from one end to the midpoint is the same as the distance from the midpoint to the other end
... a-m = m-b
When we add m+b to this equation, we get
... a+b = 2m
Solving for m gives
... m = (a+b)/2
This applies to y-coordinates as well. So ...
... The midpoint between (x1, y1) and (x2, y2) is ((x1+x2)/2, (y1+y2)/2)
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Jennifer had (x1, y1) = (-4, 10) and (x2, y2) = (-2, 6). So her calculation would be
... midpoint = ((-4-2)/2, (10+6)/2) = (-6/2, 16/2) = (-3, 8)
Brandon had (x1, y1) = (9, -4) and (x2, y2) = (-12, 8). So his calculation would be
... midpoint = ((9-12)/2, (-4+8)/2) = (-3/2, 4/2) = (-1.5, 2)
X = number of servers
y = number of guests

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There must be at least 1 server for every 12 tables: