Answer:
Step-by-step explanation:
Area of trapezium = 1/2 × h (a+b) = 864 cm^2
where h is the height and a and b are the two parallel sides
h = 24 cm
a = 30 cm
b = ?
1/2 × 24 ( 30 + b ) = 864
12 ( 30 + b ) = 864
30 + b = 864/12
30 + b = 72
b = 72 - 30
b = 42
Therefore the lenght of other base = 42 cm
Plz mark it as brainliest !!!!!!!!!!
Answer:
Package A
Step-by-step explanation:
Hello there!
The reason that package A is a better deal is beacause it goes down by a fixed rate, not by a percentage. If you get 15 carwashes, you will pay nothing for the 15th, but even if you washed your car 100 times with Package B, you would still pay something!
Have a great day!
Answer:
volume of trapezoidal prism = 15x^2 cubic units
Step-by-step explanation:
First, area of the trapezoidal bases.
Parallel sides measure x and 2x, for an average of 1.5x.
Height = x
Area of trapezoidal base = 1.5x*x = 1.5x^2
Volume of prism = area base * height
(length does not matter, height does)
= 1.5x^2 * 10 = 15x^2
First, let me do the Mathematical part of that, and then I shall explain the theory behind it.
Mathematical part:
We are going to multiply 513 with 46. So the two partial products that we are going to choose are 40 and 6.
Multiply 513 with 6 first.
513
x46
--------------------------
18 (as 6*3 = 18)
60 (as 6*10 = 60; In 513, the digit at tenths place is 1, so 1*10=10)
3000 (as 6*500 = 3000; In 513, 5 is at hundredth place, so 5*100=500)
120 (as 40*3 = 120; since 4 is at the tenth place, so 4*10=40)
400 (as 40*10 = 400)
20000 (as 40*500 = 20000)
--------------------------
23598 (Add all of them)
Theory:
As you can see above that we have chosen the two partial products individually which are 6 and 40. Since 4 in 46 is in tenth place, we have to consider it 40 (since 4*10 = 40). One by one, we first multiply 6 with 513. Then we move to the tenth place, and multiply 513 with 40. At the end, we have added all the results we found after multiplication.
Check: If we check the multiplication result by using the calculator, we would get the same result (23598).
Another Method (instant):
513 * (40+6) = (513*40) + (513*6) = 23598.
I believe the answer is 27/30
