mCAX is the same as mBAX so the answer would be 32 degrees
Answer:
-1/4 (2x - 5y)
Step-by-step explanation:
For us to factor -1/4 out of -1/2x -5/4y
We will have to multiply the values in bracket by the reciprocal of -1/4 i.e -4 as shown
-1/2x - 5/4 y
= -1/4 (-4(-1/2x) - (-4)(-5/4y))
= -1/4 (4/2 x - 20/4 y)
= -1/4 (2x - 5y)
Hence the factored expression is -1/4 (2x - 5y)
Answer:
the required equation is; y = 21 sin(πt/6)
Step-by-step explanation:
Given the data in the question;
Water rises above sea level = 21 ft
Water drops below sea level = 21 ft
so
maximum = 21 ft and also
minimum = 21 ft
Amplitude = ( maximum + minimum ) / 2
Amplitude = ( 21 + 21 ) / 2
Amplitude = ( 21 + 21 ) / 2 = 42/2 = 21 ft
Period = 12 hours
and we know that; period = 2π/b
so
12 = 2π/b
12b = 2π
b = 2π / 12
b = π/6
Standard equation for simple harmonic is; y = asin(bt)
we substitute
y = 21 sin(πt/6)
Hence the required equation is; y = 21 sin(πt/6)
Answer:
length is 28.86ft
width= 4.12ft
Step-by-step explanation:
<h2>
This problem bothers on the mensuration of solid shapes, a rectangular prism.</h2>
The storage space takes the shape of a rectangular prism, and we are required to find the width and length of the storage space.
let the width of the basement be "w"
Given data
volume v=
length l = 
width w= 
height h= 
We know that the expression for the volume of a rectangular prism is
substituting our data we have to find "w"
dividing both sides by 35 we have
find the square root of both sides we have
since we know that length= 7w and width = w , we can substitute our value for w and find the length and width
Added all that up and you get 680$
hope this helps
