Answer:
Step-by-step explanation:
see the attached figure with letters to better understand the problem
Let
a ----> the height of rectangle in mm
b ---> the base of rectangle in mm
step 1
Find the base of rectangle
----> by segment addition postulate
substitute
step 2
Find the height of rectangle
---> by segment addition postulate
substitute the given values
Find the length sides CG
Applying the Pythagorean Theorem
substitute the given values
simplify
therefore
step 3
Find the area of rectangle
we have
substitute
Answer:
Step-by-step explanation:
1:9:3
brian gets x
alex gets 9x
colin gets 3x
Brian and colin receive 40
x + 3x = 40
x = 10
alex gets 9x = £90
Answer:
Step-by-step explanation:
Given that a researcher is trying to decide how many people to survey.
We have confidence intervals are intervals with middle value as the mean and on either side margin of error.
Confidence interval = Mean ± Margin of error
Thus confidence interval width depends on margin of error.
Margin of error =
Thus for the same confidence level and std deviation we find margin of error is inversely proportional to square root of sample size.
Hence for small n we get wide intervals.
So if sample size = 300, the researcher will get wider confidence interval
Answer:
77°, 103°
Step-by-step explanation:
x=103°
- z=x=103°
- y=180°-x=180°-103°=77°
-----------
∠5= 42°
∠3= 180°-42°=138°
Yes the student is correct