Answer:
31.5 cm
Step-by-step explanation:
scale of an architecture is ratio of size of drawing to size of actual object.
Given size of football field is 160 feet by 360 feet
Given that on map shortest side is 14
since value of shortest side is 160 feet
then
scale defined for this football filed will be
scale = size of shortest side on model/size of shortest side of actual football field
scale = 14/160
Given that scale will remain same for longer side as
14/160= size of longer side on model/size of longer side of actual
14/160 = size of longer side on model/360
thus,
size of longer side on model = (14/160) * 360
size of longer side on model = 14*360/160 = 31.5
Thus, the other side of model that is longer side is 31.5 cm
Answer:
• (6, -7)
• (-4, 13)
Explanation:
• Option One
2x + y = 5
2(6) + (-7) = 5
12 - 7 = 5
5 = 5 {true}
3y = 15 - 6x
3(-7) = 15 - 6(6)
-21 = 15 - 36
-21 = -21 {true}
• Option Two
2x + y = 5
2(2) + 1 = 5
4 + 1 = 5
5 = 5 {true}
3y = 15 - 6x
3(1) = 15 - 6(2)
3 = 15 - 12
3 = 13 {not true}
• Option Three
2x + y = 5
2(-2) + (-9) = 5
-4 - 9 = 5
-13 = 5 {not true}
3y = 15 - 6x
3(-9) = 15 - 6(-2)
-27 = 15 + 12
-27 = 27 {not true}
• Option Four
2x + y = 5
2(-4) + 13 = 5
-8 + 13 = 5
5 = 5 {true}
3y = 15 - 6x
3(13) = 15 - 6(-4)
39 = 15 + 24
39 = 39 {true}
5/6F - 3/4F = 1/4
5x4/24F - 3x6/4F = 1/4
20/24F - 18/24F = 1/4
20F - 18F = 1/4x24
2F = 6
F = 6/2
F = 3
Answer:
16
Step-by-step explanation:
The mean of a group of values is calculated as
mean = 
Given 5 numbers with a mean of 12, then
= 12 ( multiply both sides by 5 )
sum = 60
let the number removed be x , then
= 11 ( multiply both sides by 4 )
60 - x = 44 ( subtract 60 from both sides )
- x = - 16 ( multiply both sides by - 1 )
x = 16
The number removed was 16
