Answer:
The most precise measurement is 1/36 yd.
Step-by-step explanation:
In order to compare measurements, you would need to first convert them all to the same form of measurement in order to place them from least to greatest. Since there are 12 inches per foot and three feet per yard, that would mean there are 36 inches per yard. Since the first two measurements 3/32 and 3/12 are both in inches, then we just need to convert 1/12 ft and 1/36 yd to inches. Since there are 12 inches per foot, we can multiply 1/12 x 1/12 to get 1/144 inches. Likewise, since there are 36 inches per yard, we can multiply 1/36 x 1/36 to get 1/1296 inches. Looking at our fractions, we see that 1/1296 inches would be the most precise measurement because it is the smallest fraction.
Answer: the length of the field is 70 yards. The width of the field is 35 yards
Step-by-step explanation:
Let L represent the length of the rectangular athletic field.
Let W represent the width of the rectangular athletic field.
A rectangular athletic field is twice as long as it is wide. This means that
L = 2W
The formula for determining the perimeter of a rectangle is expressed as
Perimeter = 2(L + W)
If the perimeter of the athletic field is 210 yards, it means that
210 = 2(L + W)
L + W = 210/2 = 105
Substituting L = 2W into L + W = 105, it becomes
2W + W = 105
3W = 105
W = 105/3 = 35
L = 2W = 2 × 35
L = 70
Answer:
6-10b
Step-by-step explanation:
Answer:
210° , 330°
Step-by-step explanation:
using the sides of the 30- 60- 90 triangle
with legs 1, 
and hypotenuse 2 , then
= 30° ← related acute angle
since -
then angle is in third / fourth quadrants , then required angles are
180° + 30° = 210° ← in third quadrant
360° - 30° = 330° ← in fourth quadrant
Answer:
# of 20cent stamps = 8
Step-by-step explanation:
Let the number 20cent stamps be = x
Let the number 60 cents stamps be = y
Total number of stamps => 20 = x + y ----------- ( 1 )
Total cost of the stamps = 8.80
That is, 0.20x + 0.60y = 8.80 ------------- ( 2 )
( 2 ) => 20x + 60y = 880
=> x + 3y = 44
=> x = 44 - 3y
Substitute x in ( 1 ) => x + y = 20
44 - 3y + y = 20
- 2y = 20 - 44
- 2y = - 24
2y = 24
y = 12
Substitute y = 12 in ( 1 ) => x + y = 20
x + 12 = 20
x = 8
