The value of the acute angle is 40°
Step-by-step explanation:
Let the angle be 'θ'
Length of the ramp = 1 m
Height = 0.643 m
To find :
The angle of elevation.
we can use sine to find the angle of elevation.
sin θ = 0.643/1
sin θ = 0.643
0.643 = sin 40°
sin θ = sin 40°
So, θ = 40°
The angle of elevation is 40°
area of square = 9 x 9 = 81 square feet
area of 1 corner = 1/2 * 3 * 3 = 4.5 square feet
4.5 * 4 = 18 square feet total of all 4 corners
81 - 18 = 63 square feet total not covered by benches.
Please mark Brainliest.
Write the set of points from -6 to 0 but excluding -4 and 0 as a union of intervals
First we take the interval -6 to 0. In that -4 and 0 are excluded.
So we split the interval -6 to 0.
Start with -6 and go up to -4. -4 is excluded so we break at -4. Also we use parenthesis for -4.
Interval becomes [-6,-4) . It says -6 included but -4 excluded.
Next interval starts at -4 and ends at 0. -4 and 0 are excluded so we use parenthesis not square brackets
(-4,0)
Now we take union of both intervals
[-6,-4) U (-4,0) --- Interval from -6 to 0 but excluding -4 and 0
Answer:
D. All three functions have the same minimum value
Step-by-step explanation:
f(x) = -3 sin (x-pi) +2
Sin has a minimum value of -1, but since it is multiplied by a negative, we want its maximum value
sin has a maximum of 1
f (min) = -3(1) +2 = -1
g(x) has a minimum at x =3
g(minimum) = -1
h(x) = (x+7)^2 -1
The smallest a squared value can be is zero
= 0 -1
h(min) =-1
Step-by-step explanation:
Hypotenuse : Opposite the right angle.
Opposite : Opposite the angle.
Adjacent : the last side left.
Your formulas.
Soh Cah Toa (Sin Cos Tan)
You'll be using Cos (Cah) because hypotenuse and adjacent are the only sides with something in it.
You rearranged formula :
Side length × Cos (Angle) = your answer to x