1 mile = 5280 feet.
Convert the dimensions to feet:
10 miles = 5280 x 10 = 52,800 feet
30 miles = 5280 x 30 = 158,400 feet
Multiply together to get the area:
52,800 x 158,400 = 8,363,520,000 square feet.
1 inch = 1/12 of a foot.
Multiply the area by 1/12 for the volume of rain:
8,363,520,000 x 1/12 = 696,960,000 cubic feet.
Step-by-step explanation:
(c)
By area of similar triangle theorem:
Answer:
Amount of crimson velvet left = 3200 - 120 - 1400 = 1680 cm
Step-by-step explanation:
The arts and craft shop has a bolt of crimson velvet of 32 meters long. A customer bought 120 centimetres of the velvet. In the afternoon another customer bought 14 meters. The remaining length of crimson velvet Malik shop possess after the morning and afternoon sales can be calculated below.
The total length of the crimson velvet = 32 meters. Since our answer should be in centimetre we will convert all the units to cm.
total length = 32 m
1 m = 100 cm
32 m = ?
cross multiply
total length in cm = 32 × 100 = 3200 cm
The first customer bought 120 cm
The second customer bought 14 m so let convert again.
1 m = 100 cm
14 m = ?
cross multiply
the second customer length in cm = 14 × 100 = 1400 cm
The amount left in the shop will be as follows
Amount of crimson velvet left = 3200 - 120 - 1400 = 1680 cm
It will take 4.5 more hours before they have painted an equal total number of square feet.
Answer:
(-5/9, 16/9)
Step-by-step explanation:
2y = -x + 3
-y = 5x + 1
To find the intersection, you need to substitute the y-value from the second equation into the first equation. Rearrange the second equation so that it is equal to y.
-y = 5x + 1
-1(-y) = -1(5x + 1)
y = -5x - 1
Substitute this equation into the y-value of the first equation.
2y = -x + 3
2(-5x - 1) = -x + 3
-10x - 2 = -x + 3
(-10x - 2) + 2 = (-x + 3) + 2
-10x = -x + 5
(-10x) + x = (-x + 5) + x
-9x = 5
(-9x)/(-9) = (5)/(-9)
x = -5/9
Plug this x value into one of the equations and solve for y.
2y = -x + 3
2y = -(-5/9) + 3
2y = 5/9 + 3
2y = 32/9
(2y)/2 = (32/9)/2
y = 32/18 = 16/9
The ordered pair is (-5/9, 16/9).
