You can use the distance formula: d = sqrt((second x value - first x value)^2 + (second y value - first y value)^2):
answer : d = sqrt((3+2)^2+(6+6)^2) = 11.95826074 units
Answer:
The length of the pipe = 17 feet
Step-by-step explanation:
length = 15 feet
width = 8 feet
Pythagorean theorem,
(diagonal)² = (length)² +(width)² {all angles of rectangle are 90°}
= 15² + 8²
= 225 + 64 = 289
diagonal = √289 = √ 17 * 17
= 17 feet
14/16 & 7/8 Would be two Equivalent
Remove parentheses.
-3/8 -1/6
Find the Least Common Denominator (LCD) of 3/8, 1/6. In other words, find the Least Common Multiple (LCM) of 8,6.
LCD=24
Make the denominators the same as the LCD.
- 3x3/8x3 - 1x4/6x4
Simplify. Denominators are now the same
-9/24 - 4/24
Join the denominators
-9-4/24
Simplify
-13/24
Answer: each girl received 30 stickers.
Step-by-step explanation:
Let x represent the number of stickers that the boys received.
Let y represent the number of stickers that the girls received.
The total number of children was 42. 2/3 of the children were boys. It means that the number of boys were
2/3 × 42 = 28
The number if girls would be
42 - 28 = 14
The total number of stickers that the school principal shared was 840. It means that
28x + 14y = 840- - - - - - - - -1
Each of the boys received the same number of stickers while each girl received twice as many as each boy. It means that
y = 2x
Substituting y = 2x into equation 1, it becomes
28x + 14 × 2x = 840
28x + 28x = 840
56x = 840
x = 840/56
x = 15
y = 2x = 15 × 2
y = 30
