Answer:
65.4°
Step-by-step explanation:
According to question
The equation is
Cos(x)=5/12
x=acos(5/12)
x=65.4°
Answer:
10x=10y so x and y are the same or x=y
Step-by-step explanation:
a. By the fundamental theorem of calculus, the velocity function is

The particle starts at rest, so
, and we have

Then the position function is

with
, so

b. The particle is at rest whenever
; this happens for

where
is any integer.
Answer:
x = 45 when y = 20 and z = 6
Step-by-step explanation:
The general formula here is y = kx/z²
If x = 24 and y = 6, z = 8, so:
y = kx/z² becomes 6 = k(24)/8², and:
6 1
k = ---------------- = -------------- = 16
24/64 4/64
Then y = 16x/z², and so, if y = 20 and z = 6 (check this!), then:
20 = 16x/36, or 16x = 720, or x = 45
x = 45 when y = 20 and z = 6
Answer:
Step-by-step explanation:
Let two consecutive odd numbers
x, x+2
According to condition
X(x+2) = 899
x2 +2x -899=0
X2 +31x -29x -899=0
x(x+31) -29(x+31)=0
(x+31)(x-29)=0
X=-31 or x =29
Now,
X=29
X+2= 29+2 = 31
Two consecutive odd numbers is 29 and 31