The new perimeter would be 60. because the width and the height are doubled.
Independent because the ratio of the second cube is the same (1:6), and it isn't affected by the result of the first cube
Answer:
x = 12
Step-by-step explanation:
First you figure out which function your going to use. I notice that from the angle we have 5 which is the opposite side and 23 which is the adjacent side. This means we have to use tangent.
Then set up your equation: tan(x)=5/23. This is because the opposite side is 5 and the adjacent is 23 and it must be set up in that order.
Next get x alone by making the equation: x=tan^-1(5/23).
Then put it into the calculator and round to get 12.
Answer:
Interest earned = 2713.8
Explanation:
We will solve this problem on two steps:
1- get the final amount after three years
2- get the interest earned by subtracting the initial amount from the final one.
1- getting the final amount after 3 years:
The formula that we will use is as follows:
A = P (1 + r/n)^(nt)
where:
A is the final amount we want to calculate
P is the initial amount = 6300
r is the interest = 0.12
n is the number of compounds per year =12
t is time in years = 3
Substitute to get the final amount:
A = P (1 + r/n)^(nt)
A = 6300 (1 + 0.12/12) ^ (12*3)
A = 9013.8
2- getting the interest earned:
Interest earned = final amount - initial amount
Interest earned = 9013.8 - 6300
Interest earned = 2713.8
Hope this helps :)
Answer:
Step-by-step explanation:
x(3x+2)=16
3x²+2x-16=0
3x²+8x-6x-16=0
x(3x+8)-2(3x+8)=0
(3x+8)(x-2)=0
either 3x+8=0
x=-8/3(rejected as width can't be negative)
x-2=0
x=2
so width=2
length=3×2+2=6+2=8
