Answer:
Cosθ = 3/5
Step-by-step explanation:
Given:
In ∆ ABC.
AB measures = 4
BC measures = 5
CA measures = 3
The angle formed at point C is marked theta
angle A is the right angle
Find attached the diagram from the given information.
We are to find the cosine ratio. To do this, we would apply SOHCAHTOA in trigonometry
Sine ratio: Sinθ = opposite /hypotenuse
Cosine ratio: Cosθ = adjacent/hypotenuse
Tangent ratio: Tanθ = opposite/adjacent
From the diagram,
adjacent = AC
hypotenuse = BC
Using the above formula,
Cosθ = adjacent/hypotenuse = AC/BC
Cosθ = 3/5
Answer:
Surface area: 4323pi
Fill the box with the value "4323", as there is a "pi" after the box.
Step-by-step explanation:
We need to find the surface area of the cone (without the base) and the surface area of the semi sphere (without the base).
The surface area of the cone, without the base, is:
S1 = pi * r * s
Where s is the slant height.
To find s, we can use the Pythagoras' theorem with the radius and the height:
s^2 = h^2 + r^2
s^2 = 56^2 + 33^2 = 4225
s = 65
So the surface area is:
S1 = pi * 33 * 65 = 2145pi
Now, to find the surface area of the semi sphere, we just need to find half of the surface area of a sphere:
S2 = (1/2) * 4 * pi * r^2
S2 = 2 * pi * 33^2 = 2178pi
Finally to find the total surface area we just need to sum both surface areas:
S = S1 + S2 = 2145pi + 2178pi = 4323pi.
As after the box to answer there is a pi, we just need to fill the box with the value "4323"
Answer:
23
Step-by-step explanation:
The equation that is satisfied by all of the plotted points would be F. 3x because the y-intercept is at 0 so there wouldn't be one and the graph has a ratio of 3/1 so for every 3 numbers the line moves up it moves 1 space to the right, also indicating that it is positive.
Answer:
The expression can be given as : 
Step-by-step explanation:
Though any options are not given, but the question is complete so we can solve this by assuming the initial price of the property to be = x
Given, that the price is increased by 275%, this means x+x(275%)
275% can be written as : 
So, the expression can be given as : 