Answer = 55,25 inches
Solution -
let's take x as length and y as width of the metal piece. As per the question x is 30 more than y,
⇒ x = y + 30
Then four square pieces of side 6 are cut from each corner,
so the new length and width are
x-12 , y-12
Then the volume of the new box created will be
(x-12)(y-12)6
in the question the volume of the given figure is given to be 3354
so (x-12)(y-12)6 = 3354
putting the value of x in the the above equation
⇒ (y+30 - 12)(x-12) = 3354/6 = 559
⇒ (y+18)(y-12) = 559
⇒ y² + 6y - 775 = 0
⇒ y² + 31y - 25y -775 = 0
⇒ (y+31)(y-25) = 0
⇒ y = -31, 25
as length can not be -ve , so y = 25
then x = 25+30 = 55
Hence the dimensions of the metal piece are 55, 25 inches
Answer:
r = 5y/8
Step-by-step explanation:
isolate the variable by dividing each side by factors that contain the variable.
1) Since in the USA 8 x 10 ^9 messages are sent every month, that means that approximately 8 billion messages are sent.
2) We can Prime factorize it:
Note that on the right side we've picked only prime numbers. In this case, 2 and 5.
So we can rewrite 8 x 10^9 as prime factors.
3) Hence, the answer is:
Answer:
Approximately 50 pounds less carbon (in CO₂) will be produced by the second auto on this trip.
Step-by-step explanation:
We have been given that the combustion of one gallon of automobile fuel produces about 5 pounds of carbon (in CO₂). Two autos are making a trip of 600 miles.
Let us find amount of fuel used by autos by dividing the total distance by their mileage.
Let us find the difference of fuel used by both autos.
Since one gallon of automobile fuel produces about 5 pounds of carbon, so 10 gallons of fuel will produces pounds of carbon.
Since 2nd auto used 10 gallons less than 1st auto, therefore, 2nd auto will produce 50 pounds less carbon than 1st auto.
Answer:
3.14 square units
Step-by-step explanation:
Circumference of a circle = 2πr
2πr = 6.28
r = 6.28/2π
r = 3.142/π
Area of a circle = πr^2
slot in the value of r
Area of the circle = π( 3.142/π)^2
" = π(9.87/ π^2)
" = 9.87/π
π = 3.14
Area of a circle = 9.867/ (3.14)
" = 3.14 square units