To find Angle A we use cosine
cos ∅ = adjacent / hypotenuse
From the question
The adjacent is 17
The hypotenuse is 38
So we have
cos A = 17/38
A = cos-¹ 17/38
A = 63.4
<h3>A = 63° to the nearest degree</h3>
To find Angle C we use sine
sin ∅ = opposite / hypotenuse
From the question
The opposite is 17
The hypotenuse is 38
So we have
sin C = 17/38
C = sin-¹ 17/38
C = 26.57
<h3>C = 27° to the nearest degree</h3>
Hope this helps you
Answer:
segment EH and segment E prime H prime both pass through the center of dilation.
Step-by-step explanation:
Center of dilation is point (0.1), same as H. Both, E(0,5) and H(0,1) are placed over y-axis, then E' and H' are also located at y-axis.
After dilation, H' is placed at (0,1) because it coincides with the center of dilation
Distance between E and center of dilation is 4 units, then E' should be at 4*3=12 units from the center of dilation and over y-axis. Therefore, E' is placed at (0, 13)
So, segment E'H' goes from (0,1) to (0,13), and pass through the center of dilation, like segment EH.
Answer:
The volume of the toy is 
Step-by-step explanation:
step 1
Find the volume of the hemisphere
The volume of the hemisphere is given by the formula
In this problem, the wide of the toy is equal to the diameter of the hemisphere
so
----> the radius is half the diameter
substitute
step 2
Find the volume of the cone
The volume of the cone is given by
we know that
The radius of the cone is the same that the radius of the hemisphere
so
The height of the cone is equal to subtract the radius of the hemisphere from the height of the toy
substitute the given values
step 3
Find the volume of the toy
we know that
The volume of the toy, is equal to the volume of the cone plus the volume of the hemisphere.
so
assume
Can you take a picture of the problem?
Answer: A. 1
Step-by-step explanation:
sorry if im wrong
