Yes
Reason - figure b has been increased by 3 (x3 for each side)
Eg. figure b - 1. Figure a - 3
Answer:
The length of the diagonal HJ is 10.82 units
Step-by-step explanation:
* Lets revise the rule of the distance between two points
-
, where
and
are the two points
* Lets use this rule to find the length of the diagonal HJ
∵ The coordinates of point H are (-4 , 3)
∵ The coordinates of point J are (5 , -3)
∴
and 
∴
and 
- Lets find the length of the diagonal HJ by using the rule above
∴ HJ = 
∴ HJ = 
∴ HJ = 10.82
* The length of the diagonal HJ is 10.82 units
Answer:
Yes
Step-by-step explanation:
First, we need to find how many cars out of the entire fleet fail the test
4/32 = x/150
Cross multiply to find x
32x = 150(4)
32x = 600
32x/32 = 600/32
x = 18.75
I'll round it to 19. So 19 out of 150 cars fail the test. Find the percentage of this and compare it to the 30% estimate
19 /150 = 0.127
0.127(100) = 12.7%
12.7% is obviously lower than 30% so yes it is strong evidence the percentage of the fleet out of compliance is different from their initial thought
$6.60 i think, i subtracted the total ($14.40) with the cost of the beads ($7.80) and came to the remaining cost of $6.60 to be spent
4k-36 = 9k-44
add 36 to both sides:
4k =9k-8
subtract 9k from each side
-5k=-8
k = -8 / -5 = 8/5