Answer:
1st side=44 cm, 2nd side= 55cm
Step-by-step explanation:
let a = '4x' , b = '5x'
h= 12cm
Area of trapezium=1/2*(a+b)h
area=594=1/2*9x*12
594*2/12=9x
594/6=9x
99=9x
99/9=11=x
therefore, 4x=4*11=44cm
&5x=5*11=55cm
Answer:
3 1/2 hours
Step-by-step explanation:
This is a problem in units conversion. We want to get from bags to hours by way of minutes per bag. One bag takes an effort of 2/3 person·minute, so we need to divide the total effort by the number of persons and convert minutes to hours.
(1575 bags)×(2/3 person·min/bag)/(5 person)/(60 min/h)
= (1575)(2/3)(1/5)(1/60) h = 3.5
It will take the 5 of them about 3 1/2 hours to prepare 1575 bags.
When you have ratios and some unknowns you can create complex fractions from them.Bring them to the same denominator and solve for X.
Answer:
If we assume that the bottle is cylindrical and we take the same radius (3.26) of both the bottles (bottles only differ in heights) then the larger bottle will hold approximately 701.14 ml of fluid (the answer says 700ml which is very close)
Step-by-step explanation:
Step 1: Formula of volume of a cylinder is pi*r^2*h
where value of pi is 3.14
r is the radius
h is the height of the bottle (height is different for both bottles)
After putting the values and estimated radius for both as 3.26, we get the volume of the taller bottle.
You can extract the radius by following this method:
Volume of a cylinder = pi*r^2*h (now put the value of the known volume and height of the smaller cylinder)
500 = 3.14 * (r)^2 *15
500/(3.14*15) = r^2
10.616 = r^2
Taking sqrt. on both sides
We get r = 3.26
Now put the same value in the formula of volume with the radius and height. You will get the answer for second bottle.
V= 3.14 * (3.26)^2 *21
V= 701.14 (approx)
Answer:
The GCF is - 4y
Step-by-step explanation:
Given the polynomial expression −16y4 + 12y2 – 4y?
If we carefully traverse all the terms we can factor out 4y from all the terms
=-4y(4y³-3y+1) which is similar to the original expression
Hence the greatest common factor GCF = - 4y
The Greatest Common Factor (GCF) is the largest number that will divided evenly into that number.
