Remark
I like to work from the original equation.
Givens
T = 2.2 seconds
pi = 3.14
L = ??
Substitute and Solve
T = 2*pi*sqrt(L/32) Find the value of 2*pi
2.2 = 2*3.14* sqrt(L/32)
2.2 = 6.28 * sqrt(L/32) Divide both sides by 6.28
2.2/6.28 = sqrt(L/32)
0.35032 = sqrt(L/32) Square both sides.
0.122723 = L/32 Multiply both sides by 32
0.122723 * 32 = L
L = 3.927 feet. <<<<< Length pendulum creating 2.2 seconds.
16x³ - 54
= 2(8x³ - 27)
= 2(2x - 3)(4x² + 6x + 9) ← answer
Answer:
There are 8 true/false questions and 26 fill-in-the-blank questions.
Step-by-step explanation:
Let "t" be the number of 2-point true/false questions and "f" the number of 5-point fill-in-the-blank questions.
Mrs. Simmons gave a history test worth 92 points. Symbollically,
2 t + 5 f = 92 [1]
There were a total of 34 questions in the test. Symbollicaly,
t + f = 34
t = 34 - f [2]
If we replace [2] in 1, we get
2 (34 - f) + 5 f = 92
68 - 2 f + 5 f = 92
3 f = 24
f = 8
We replace f = 8 in [2],
t = 34 - 8 = 26
There are 8 true/false questions and 26 fill-in-the-blank questions.
Avg. speed Joanna runs: 7.5km/h
how much she runs everyday: 15km
15km/7.5= 2 hours of running time everyday
She leaves at 8:30, comes back at ?
8:30+ 2:00= 10:30
Joanna arrives back at 10:30a.m.
