Answer:
k=4
Step-by-step explanation:
-The constant of proportionality is defined as the ratio between two directly proportional variables.
-Given that B=4f
#The constant of proportionality is calculated as:
- the equation can be written in the form y=kx,
where y varies directly with x and k is the constant of variation:

Hence, B varies directly with f with a constant of proportionality k=4
The number of cruise passengers must there have been in 2017 is 26.7 million.
<h3>What is percentage?</h3>
The term "percentage" comes from the Latin phrase "per centum," meaning "by the hundred." Percentages represent fractions with a denominator of 100. In other terms, it is the relationship between portion and whole in which the value of the whole is always assumed to be 100.
Now according to the question;
Let x represent the total number for cruise passengers during 2017.
In 2018, a 6.7% rise in x results in 28.5 million cruise passengers.
So, 106.7 % of x = 28.5

Multiplying both sides by 100;

Dividing both sides by 106.7;

x = 26.7
Therefore, the number of cruise passengers in 2017 must have ranged from 26.7 million.
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Answer:
Triangular prism with a surface area of 144, C
Step-by-step explanation:
4 x 3 = 12, 12 divided by 2 ( x 1/2 ) = 6
6 x 2 = 12
3 x 11 = 33
4 x 11 = 44
5 x 11 = 55
12 + 33 + 44 + 55 = 144
Answer:
(0,5)
Step-by-step explanation:
Its where the 2 lines intersect.
The value of DF = 20.
<h3>What is similarity?</h3>
Two objects are similar if they have the same shape, or one has the same shape as the mirror image of the other.
Given:
Using theorem
If two triangles are similar, then the ratio of the area of both triangles is proportional to the square of the ratio of their corresponding sides.
ΔSDF/Δ RTY = (SD/RT)= (DF/TY)= (FS/ YR)
ar ΔSDF² / ar ΔRTY² = 16/81
SD/ RT = 4/9
SD = 4x, RT= 9x
SD= 8
4x = 8
x = 2
So,
RT= 9*2 = 18
SF = RT -2
SF = 16
(SD/RT)= (FS/ YR)
8 / 18 = 16/ YR
YR= 36
TY= 9 +RY = 45
(DF/TY)= (FS/ YR)
DF / 45= 16/ 36
DF=20
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