Answer:
Step-by-step explanation:
It can be convenient to compute the length of the hypotenuse of this triangle (AC). The Pythagorean theorem tells you ...
AC^2 = AB^2 + CB^2
AC^2 = 4^2 + 3^2 = 16 + 9 = 25
AC = √25 = 5
The altitude divides ∆ABC into similar triangles ∆AHB and ∆BHC. The scale factor for ∆AHB is ...
scale factor ∆ABC to ∆AHB = AB/AC = 4/5 = 0.8
And the scale factor to ∆BHC is ...
scale factor ∆ABC to ∆BHC = BC/AC = 3/5 = 0.6
Then the side AH is 0.8·AB = 0.8·4 = 3.2
And the side CH is 0.6·BC = 0.6·3 = 1.8
These two side lengths should add to the length AC = 5, and they do.
The remaining side BH can be found from either scale factor:
BH = AB·0.6 = BC·0.8 = 4·0.6 = 3·0.8 = 2.4
_____
The sides of interest are ...
AH = 3.2
CH = 1.8
BH = 2.4
Answer:Jason’s salary depends on the number of hours he works. The independent variable is the number of hours and the dependent variable is salary. Let x = the number of hours worked Let y = Jason’s salary The set of ordered pairs {(1, 10), (2, 20), (3, 30), (4, 40), (5, 50)} can be used to represent the function, assuming Jason earns $10 per hour The number of hours the train takes depends on the distance. The distance is independent and the number of hours is dependent. {(2,20)(4,40)(6,60)(8,80)(10,100)} For every 2 hours it takes 20 miles. The amount of money depends on the time worked.
Step-by-step explanation:
Answer:
slope is -1 and y intercept is -7.
Step-by-step explanation:
3- y = x+10
or, -y = x +10-3
or, -y = x+ 7
or, y = -x-7
comparing with y= mx +c, m= -1, c= -7
Answer:
4. false
5. false
Step-by-step explanation:
4. so sometimes it is false and sometimes true; i went with false just because sometimes it is not true and it not being true some of the time is definitely dominant.
5. simple. lol
Answer:
0.1105
Step-by-step explanation:
We know that question about reporting a cheating is asked to 172 students.
So the sample size would be n=172.
Out of 172 undergraduate students only 19 students answered "yes". It means that only 19 out of 172 students are willing to report cheating and so x=19.
According to definition of proportion
proportion=number of favorable outcome/total number of outcome
p=x/n
we are given that x=19 and n=172 so,
p=19/172=0.1105.
Hence according to given data 11.05% of students are wiling to report cheating by other students.
