Answer:
The answer is option B
Step-by-step explanation:
To find cos 45° we must first find the adjacent and the hypotenuse
Let the adjacent be x
Let the hypotenuse be h
To find the adjacent we use tan
tan ∅ = opposite / adjacent
From the question
the opposite is 9
So we have
tan 45 = 9 / x
x tan 45 = 9
but tan 45 = 1
x = 9
Since we have the adjacent we use Pythagoras theorem to find the hypotenuse
That's
h² = 9² + 9²
h² = 81 + 81
h² = 162
h = √162
h = 9√2
Now use the formula for cosine
cos∅ = adjacent / hypotenuse
The adjacent is 9
The hypotenuse is 9√2
So we have
cos 45 = 9/9√2
We have the final answer as
<h3 /><h3>cos 45 = 1 / √2</h3>
Hope this helps you
Answer:
1)=> x=22
2)=> x=16
Step-by-step explanation:
....,....................
Hello!
Since she can not make negative money and the maximum amount of money she can make is 225 so the domain is
Hope this helps!
A) Scale factor:
Divide 2 congruent sides:
24 / 36 = 0.667
From PQR to XYZ is a 0.667 (2/3 as a fraction) scale factor.
B) Volume = (1/2 x base x side) x height:
Volume = 1/2 * 36 x 48 = 864 * 15 = 12,960 cubic inches.
C) Find the height of the prism:
7776 = (1/2 * base * sides) x height
7776 = (1/2 x 36 x 48) * height
7776 = 864 * height
Height = 7776 / 864 = 9 inches.
The scale factor is 2/3, the height of XYZ = 2/3 *9 = 6 inches.
Volume of XYZ = 1/2 x 24 x 32 = 384 x 6 = 2,304 cubic inches.
Answer:
The angle must be at 3.81°
Step-by-step explanation:
The horizontal distance of the shooting range is 60 yards
The height of the target is 12ft.
We'll have to convert the value of the height from ft to yards.
1 yards = 3 foot
X yards = 12ft
X = 4yards.
The height of the target is 4 yards.
Now, to find the angle at which the shooter makes with the zenith of the target(height), we'll have to use use SOHCAHTOA
To know which of the rules we'll follow, a pictorial illustration of the values will help
(See attached document for better illustration).
From the diagram, we can see we have values at both opposite and adjacent.
Opposite = 4
Adjacent = 60
Hence we can use Tanθ = opposite/ adjacent
Tanθ = 4 / 60
Tanθ = 0.067
θ = Tan⁻0.067
θ = 3.81°
The angle at which the rifle must be set to hit the target is 3.81°