Answer:
(a) 27°
(b) 17.9m
Step-by-step explanation:
According to the attachment
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let AB be the ladder
BC be the distance between the ladder and wall
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(a) We have to find ∠A by trigonometry formula
![\sf \sin A = \frac{perpendicular}{hypotenuse}](https://tex.z-dn.net/?f=%20%5Csf%20%20%5Csin%20A%20%20%3D%20%20%5Cfrac%7Bperpendicular%7D%7Bhypotenuse%7D%20)
Here angle A is facing BC so it is perpendicular
and AB is the longest side so it is hypotenuse
![\sf \implies \sin A = \frac{BC}{AB} \\ \\ \\ \sf \implies \sin A = \frac{9}{20} \\ \\ \\ \sf \implies \sin A = 0.45 \\ \\ \\ \sf \implies \sin A = \sin27{ \degree} \\ \\ \\ \sf \purple {A = 27{ \degree}}](https://tex.z-dn.net/?f=%20%5Csf%20%20%5Cimplies%20%5Csin%20A%20%3D%20%20%5Cfrac%7BBC%7D%7BAB%7D%20%20%5C%5C%20%20%5C%5C%20%20%5C%5C%20%20%5Csf%20%20%5Cimplies%20%20%5Csin%20A%20%3D%20%20%20%5Cfrac%7B9%7D%7B20%7D%20%20%5C%5C%20%20%5C%5C%20%20%5C%5C%20%20%5Csf%20%5Cimplies%20%20%5Csin%20A%20%3D%200.45%20%5C%5C%20%20%5C%5C%20%20%5C%5C%20%20%5Csf%20%20%5Cimplies%20%20%5Csin%20A%20%3D%20%20%5Csin27%7B%20%5Cdegree%7D%20%20%5C%5C%20%20%5C%5C%20%20%5C%5C%20%20%5Csf%20%5Cpurple%20%7BA%20%3D%2027%7B%20%5Cdegree%7D%7D)
(b)
AC is the distance from the upper end of the ladder to ground
we will find it by Pythagoras theorem
![\sf {hypotenuse}^{2} = {perpendicular}^{2} + {base}^{2} \\ \\ \\ \sf \implies {AB}^{2} = {BC}^{2} + {AC}^{2} \\ \\ \\ \sf \implies {20}^{2} = {9}^{2} + {AC}^{2} \\ \\ \\ \sf \implies 400 = 81 + {AC}^{2} \\ \\ \\ \sf \implies 400 - 81 = {AC}^{2} \\ \\ \\ \sf \implies 319 = {AC}^{2} \\ \\ \\ \sf \implies \sqrt{319} = AC \\ \\ \\ \sf \blue{\implies 17.86 = AC}](https://tex.z-dn.net/?f=%20%5Csf%20%7Bhypotenuse%7D%5E%7B2%7D%20%20%3D%20%20%7Bperpendicular%7D%5E%7B2%7D%20%20%2B%20%20%20%7Bbase%7D%5E%7B2%7D%20%20%5C%5C%20%20%5C%5C%20%20%5C%5C%20%20%5Csf%20%20%5Cimplies%20%20%7BAB%7D%5E%7B2%7D%20%20%3D%20%20%7BBC%7D%5E%7B2%7D%20%20%2B%20%20%7BAC%7D%5E%7B2%7D%20%20%5C%5C%20%20%5C%5C%20%20%5C%5C%20%20%5Csf%20%5Cimplies%20%20%7B20%7D%5E%7B2%7D%20%20%3D%20%20%7B9%7D%5E%7B2%7D%20%20%2B%20%20%7BAC%7D%5E%7B2%7D%20%20%5C%5C%20%20%5C%5C%20%20%5C%5C%20%20%5Csf%20%20%5Cimplies%20400%20%3D%2081%20%2B%20%20%7BAC%7D%5E%7B2%7D%20%20%5C%5C%20%20%5C%5C%20%20%5C%5C%20%20%5Csf%20%20%5Cimplies%20400%20-%2081%20%3D%20%20%7BAC%7D%5E%7B2%7D%20%20%5C%5C%20%20%5C%5C%20%20%5C%5C%20%20%5Csf%20%5Cimplies%20319%20%3D%20%20%7BAC%7D%5E%7B2%7D%20%20%5C%5C%20%20%5C%5C%20%20%5C%5C%20%20%5Csf%20%20%5Cimplies%20%20%20%5Csqrt%7B319%7D%20%20%3D%20AC%20%5C%5C%20%20%5C%5C%20%20%5C%5C%20%20%5Csf%20%20%20%5Cblue%7B%5Cimplies%2017.86%20%3D%20AC%7D)
60 times
You have a 1/3 chance each spin.
1/3 = x/180
180 = 3x
x = 60
Answer:
C. The median for town A, 30°, is less than the median for town B.
Step-by-step explanation:
A box plot can clearly represent the median as a center of the distribution of a data set.
Thus, the median of a box plot is depicted by the vertical line that divides the rectangular box.
Therefore:
Town A Median temperature = 30°
Town B Median temperature = 40°
The standby that best compares their centers is:
C. "The median for town A, 30°, is less than the median for town B."
I havent done this stuff but I'm assuming x has to be equal to the number its being subtracted from so that the end result would be 0.
Let x = Pacific Paradise
You can set up the equation like this:
x + (3x - 25) + (x + 18) = 928
(Combine like-terms)
5x - 7 = 928
(Add 7 to both sides)
5x = 935
(divide by 5 to both sides)
x = 187 (# of deluxe staterooms Pacific Paradise)
Next to find the # of deluxe staterooms of the other cruise ships create two equations
Let y = Carribean Paradise
x + 18 = y
(plug in the value of x which is 187)
187 + 18 = y
(combine like-terms)
205 = y (# of deluxe staterooms Carribean Paradise)
Let z = Mediterranean Paradise
3x - 25 = z
(plug in the value of x which is 187)
3(187) - 25 = z
(follow PEMDAS to simplify and combine like-terms)
536 = z (# of deluxe staterooms Mediterranean Paradise)
Finally check your answer by adding up all of your answers to make sure it equals 928
536 + 205 + 187 = ? (928!)