Step-by-step explanation:
8 /3 c - 2 = 2/3 c - 12
Put all the one u want to solve to one side
8 /3 c - 2 = 2/3 c - 12
8/3c - 2/3c = 2-12
6/3c = - 10
Now multiply 3c to both sides
6 = - 30c
c = 6/ - 30
= 1 / - 5
= 1
- - - - - - -
5
Answer:
(t, h(t)) = (4, 9256)
Step-by-step explanation:
We assume you intend the h(t) function to be ...
h(t) = -16t^2 +128t +9000
The equation can be written in vertex form as follows:
h(t) = -16(t^2 -8t) +9000
h(t) = -16(t^2 -8t +16) +9000 -(-16)(16) . . . . add and subtract -16(16) to complete the square
h(t) = -16(t -4)^2 +9256 . . . . . vertex form of the height function
The vertex of h(t) is (4, 9256), an altitude of 9256 feet after 4 seconds.
The answer is $2.25
I would use this proportion
24 / 3 18/x
18 times 3=54
54 divided by 24=2.25
X=$2.25
Answer:
Q1
cos 59° = x/16
x = 16 cos 59°
x = 8.24
Q2
BC is given 23 mi
Maybe AB is needed
AB = √34² + 23² = 41 (rounded)
Q3
BC² = AB² - AC²
BC = √(37² - 12²) = 35
Q4
Let the angle is x
cos x = 19/20
x = arccos (19/20)
x = 18.2° (rounded)
Q5
See attached
Added point D and segments AD and DC to help with calculation
BC² = BD² + DC² = (AB + AD)² + DC²
Find the length of added red segments
AD = AC cos 65° = 14 cos 65° = 5.9
DC = AC sin 65° = 14 sin 65° = 12.7
Now we can find the value of BC
BC² = (19 + 5.9)² + 12.7²
BC = √781.3
BC = 28.0 yd
All calculations are rounded