Answer:
BC ≈ 4.0
Step-by-step explanation:
∠ DCA = 180° - 70° = 110° ( adjacent angles )
∠ DAC = 180° - (30 + 110)° ← sum of angles in triangle
∠ DAC = 180° - 140° = 40°
Using the Sine rule in Δ ACD to find common side AC
= 
( cross- multiply )
AC × sin40° = 15 × sin30° ( divide both sides by sin40° )
AC = 
≈ 11.668
Using the cosine ratio in right triangle ABC
cos70° = 
= 
= 
( multiply both sides by 11.668 )
11.668 × cos70° = BC , then
BC ≈ 4.0 ( to the nearest tenth )
Answer:
Step-by-step explanation:
We are going the use the revolve constructive geometry operation
Step one:
Knowing fully well that the simple mug has a cylindrical shape, and all preliminary settings are in place, like the units may be in inches or mm.
We first need to draft out the section of the mug, this will look like an "L" shape with thickness set to whatever dimension you may have in mind.
The next in line is to create an axis using a construction line parallel to the L shape.
Then use the revolve tool to create the cylindrical shape by selecting the axis as the reference of rotation and the angle of rotation set to 360 degrees.
Hey!
The sum of four times a number and -2
Let us take the number as ' x '
( 4x - 2 )
Six times a number and 3
( 6x + 3 )
The sum = ( 4x - 2 ) + ( 6x + 3 )
Hope helps!
Since the sine and cosine functions are cofunctions, they are complementary. The format for this is that sinx=cos(90-x). This works for secant and cosecant and tangent and cotangent. So, sin25°=cos65°.
