Answer:The correct answer is m= and θ = 30º.
Step-by-step explanation:First, we must form a triangle whose hypotenuse is the radius r=1, its adjacent leg is m, its opposite leg is and the angle is theta.
First, we calculate the angle with theta's breast:
sin (θ) =
where H is the hypotenuse, in this case, the radio.
θ = ()
θ = 30º
Now, we calculate the adjacent leg, which is equal to the x-coordinate of the point:
cos (θ) =
m = cos 30º * H
m =
m =
Have a nice day!
Answer:
10.89
Step-by-step explanation:
Given:
A figure of combination of hemisphere, cylinder and cone.
Radius of hemisphere, cylinder and cone = 6 units.
Height of cylinder = 12 units
Slant height of cone = 10 units.
To find:
The volume of the given figure.
Solution:
Volume of hemisphere is:

Where, r is the radius of the hemisphere.



Volume of cylinder is:

Where, r is the radius of the cylinder and h is the height of the cylinder.



We know that,
[Pythagoras theorem]
Where, l is length, r is the radius and h is the height of the cone.

Volume of cone is:

Where, r is the radius of the cone and h is the height of the cone.



Now, the volume of the combined figure is:



Therefore, the volume of the given figure is 2110.08 cubic units.
Answer:
18
Step-by-step explanation:
1/3 * 18 = 6 or 6/(1/3) = 18 or 6 * 3 =18
Answer:
Measure of arc AE = 58°
Step-by-step explanation:
As shown: ABCD is a quadrilateral, ∠C = 119°
So, ∠C + ∠A = 180°
∴ ∠A = 180° - ∠C = 180° - 119° = 61°
ΔAGB is a right triangle at G
So, ∠A + ∠B = 90°
∴ ∠ABG = 90 - ∠A = 90 - 61 = 29°
Arc AE opposite to the angle ∠ABG
So, measure of arc AE = 2∠ABG = 2 * 29° = 58°