Answer:
B) { 51, 149, 140 }
C) { 16, 63, 65 }
Step-by-step explanation:
We need to choose Pythagoras theorem formula

now, we can verify each options
option-A:
a=1
b=1
c=1
now, we can verify formula


We can see that left side is not equal to right side
so, this is FALSE
option-B
a=51
b=140
c=149
now, we can verify formula


We can see that left side is equal to right side
so, this is TRUE
option-C
a=16
b=63
c=65
now, we can verify formula


We can see that left side is equal to right side
so, this is TRUE
option-D:
a=6
b=8
c=11
now, we can verify formula


We can see that left side is not equal to right side
so, this is FALSE
Answer:
3
Step-by-step explanation:
2(x + 1) = 3(5 - x) + 2
Distribute,
2(x + 1) = 3(5 - x) + 2
2x + 2 = 3(5 - x) + 2
Rearrange terms,
2x + 2 = 3(5 - x) + 2
2x + 2 = 3(-x + 5) + 2
Distribute,
2x + 2 = 3(-x + 5) + 2
2x + 2 = -3x + 15 + 2
Add the numbers,
2x + 2 = -3x + 15 + 2
2x + 2 = -3x + 17
Subtract 2 from both sides,
2x + 2 = -3x + 17
2x + 2 - 2 = -3x + 17 - 2
2x = -3x + 17 - 2
2x = -3x + 15
Add 3x to both sides,
2x = -3x + 15
2x + 3x = -3x + 3x + 15
5x = -3x + 3x + 15
5x = 15
Divide both sides by the same factor (15),
5x = 15
5x/5 = 15/5
x = 15/5
x = 3
Hence, the answer is 3.
Using the mean concept, it is found that we will need 15 more points to bring up his average up to 90%.
The mean of a data-set is the <u>sum of all observations divided by the number of observations</u>.
In this problem:
- In the first 5 observations, total of 21 out of 25 points, hence the mean for these observations is
. - In the next n observations, mean of 1.
Hence, the mean is:

We want the mean to be of 0.9, thus:





3 more testes are need, each worth 5 points, hence, 15 more points are needed to bring up his average up to 90%.
A similar problem is given at brainly.com/question/25323941
Answer:
√8
Step-by-step explanation:
√2x√2x√2 is 2x2x2 which is 8 then the square root √8.