Answer:
b = 15.75
Step-by-step explanation:
Lets find the interception points of the curves
36 x² = 25
x² = 25/36 = 0.69444
|x| = √(25/36) = 5/6
thus the interception points are 5/6 and -5/6. By evaluating in 0, we can conclude that the curve y=25 is above the other curve and b should be between 0 and 25 (note that 0 is the smallest value of 36 x²).
The area of the bounded region is given by the integral
The whole region has an area of 250/9. We need b such as the area of the region below the curve y =b and above y=36x^2 is 125/9. The region would be bounded by the points z and -z, for certain z (this is for the symmetry). Also for the symmetry, this region can be splitted into 2 regions with equal area: between -z and 0, and between 0 and z. The area between 0 and z should be 125/18. Note that 36 z² = b, then z = √b/6.
125/18 = b^{1.5}/9
b = (62.5²)^{1/3} = 15.75
If the dinner altogether costs £64, and there is a 20% tip, that brings the total amount paid to £76.80, and if four people are paying £19 towards the total, then there would not be enough for them to pay for both the meal and the tip, as 19x4 is 76, and the total is £76.80, meaning you need another 80 Pence.
Answer: No, as there is 80 pence off the total amount with all of there money added together which they would need to pay for the meal and the tip.
Hope this helps! Xo
Answer:
8,941,136.4 Minutes/ 8,935,200 Minutes
Step-by-step explanation:
Answer:
degree
Step-by-step explanation:
The angle between the bottom of the ladder and the ground is given by
Where
B = distance between wall of house and the foot of ladder
L = Length of the ladder
Substituting the given values we get -
Answer:
To write a two-variable equation, I would first need to know how much Maya’s allowance was. Then, I would need the cost of playing the arcade game and of riding the Ferris wheel. I could let the equation be cost of playing the arcade games plus cost of riding the Ferris wheel equals the total allowance. My variables would represent the number of times Maya played the arcade game and the number of times she rode the Ferris wheel. With this equation I could solve for how many times she rode the Ferris wheel given the number of times she played the arcade game.
Step-by-step explanation:
