hi
u0 = 64 with u(n+1) = un *0.75
u3 = 64 *0.75^3 = 27
sum is : 64 * ( 0.75^4 -1) / 0.75-1 = 175
manual proof : 64 + 48+36+27 = 175
Answer:
1. x=3
2. x=2
3. 0 i think
4. y=6
5. x=7/5
Bonus: k=6
Step-by-step explanation:
combine like terms
Answer: The ladder is 5.3 m long
Step by step solution
1. Draw out the scenario, ie a right triangle where the hypotenuse is the ladder, the wall is 4.5m and the angle the ladder and the ground makes 58 degree.
2. Soh, Cah, Toa
The wall is opposite, the ground is adjacent, and the ladder is hypotenuse
Sine (58) = 4.5/h
3. Solve for hypotenuse
h * sine (58) = 4.5
h = 4.5/sine (58)
h = ~ 5.3 m
check the picture below.
recall that in a rhombus, both diagonals bisect each other, namely cut each other in equal halves and at right-angles, so we end up with 4 right-triangles.
now, the sides in a rhombus are all equal, thus the perimeter is 13+13+13+13.
Answer: 7.2%
Step-by-step explanation:
First find the difference between the amounts.
7,400, 000 - 6, 900,000 = 500, 000
Now divide the obtain number by the original number which is 6,900,000
500, 000/ 6,900,000 = 0.07246
Multiply 0.07246 by 100 to convert it to a percent.
0.07246 = 7.2463..%
Round it to the nearest tenth of a percent.
7.2463.. rounded to the nearest tenth is 7.2%
