Answer:
396cm
Step-by-step explanation:
first shape is 180
second shape is 216
Answer:
"first number line shown in the diagram"
Step-by-step explanation:
Whenever we have inequality of the form
| x + a | > b
we can write
1. x+a > b, and
2. -(x+a) > b
and solve both.
So we can write
1. 8x + 16 > 16
2. -(8x+16) > 16
<u>Solving 1:</u>
8x > 16 - 16
8x > 0
x > 0
<u>Solving 2:</u>
-(8x+16) > 16
-8x - 16 > 16
-16 -16 > 8x
-32 > 8x
-32/8 > x
-4 > x
Putting these together, we can say x is greater than 0 & x is less than -4
The first number line is right.
Vic and Dan are 2, 897m apart.
<h3>How to determine the distance</h3>
It is important to note that the distance between Vic and Dan is the base of CN
Let's say the distance to Dan is x
The distance to Vic is y
Using cosine ratio, we have
cos α = opposite / adjacent
α = 72°
opposite = 553. 3cm
Adjacent = x
cos 72° = 
Cross multiply
× 
= 
m
The distance to Vic is y
Using the cosine ratio, we have
Cross multiply
m
To determine how far apart Vic and Dan, we use = x + y
= 1790. 61 + 1106. 6
= 2, 897. 21m
= 2, 897m
Thus, Vic and Dan are 2, 897m apart.
Learn more about bearing and distance here:
https://brainly.in/question/47782732
#SPJ1
Answer: D. False." Within stratified samples, the number of individuals sampled from each stratum should be proportional to the size of the strata in the population."
Step-by-step explanation:
- A stratified sample is obtained by dividing the population into groups without overlapping called strata and then obtaining a simple random sample from each stratum.
The individuals within each stratum should be homogeneous or similar in some way.
Therefore, the given statement "When obtaining a stratified sample, the number of individuals included within each stratum must be equal." is false because within stratified samples, the number of individuals sampled from each stratum should be proportional to the size of the strata in the population.
