Answer:
x = <u>16</u> units
Step-by-step explanation:
∆ABC is a 45-45-90 triangle, and ∆BCD is a 30-60-90 triangle.
If side opposite of 90° [∆] = x, side opposite of 45° [∆] = x / √2 = x √ 2 / 2.
Given side AC is opposite of 90° [∆ABC] = 32 √ 2, side opposite of 45° [∆ABC] = 32 √ 2 / √ 2 = 32 which is AB or BC.
Since side BC is part of BCD.
Side opposite of 90° [∆BCD] = BC = 32.
Since x is opposite of 30° [∆BCD].
x = Side opposite of 90° [∆BCD] / 2 = 32 / 2 = 16.
Answer:
See explanation
Step-by-step explanation:
The constant of variation is found using the slope formula:

The given relation is
X : -2 , -3, -4, -5
Y : -5, -7.5,-10,-12.5
We can use any two ordered pair to find the constant of variation.
Using (-2,-5) and (-3,-7.5), we have

The constant of variation is 2.5
We need to repeat this for all the options to identify the one with -2.5 as slope.
unfortunately, you did not provide the remaining options.
Answer:
19 hrs
Step-by-step explanation:
t varies inversely with number of people p
t = k/p
If it takes 7.125 hrs for 8 workers to do the job
K = tp
= 7. 125 x 8
= 57
How many hours will it take if there are 3 workers .
Recall t = k/p
t = 57/3
= 19 hrs
Therefore, It’ll take 19 hrs to Complete the job if there are only three workers.
Answer:
y=-5/14x-3/2
Step-by-step explanation: Thats the equation
I really hope this answer make sense for you