Answer:
Erm idk what you meant but the answers either 0.8 or .125
Hope this helped!
Good luck :p
~ Emmy
Answer:
Because <CBD is an inscribed angle and <CAD is a central angle with the same intercepted arc, m<CBD = 55°, or half of the measure of <CAD.
Step-by-step explanation:
The Inscribed Angle Theorem proves that an inscribed angle is half the measure of a central angle, if both the inscribed angle and the central angle intercepts the same arc.
Also, according to the inscribed angle theorem, an inscribed angle is ½ of the measure of the arc it intercepts.
Therefore, m<CBD is half of m<CAD, or half of the measure of the arc CD that they both intercept together.
Thus, m<CBD = 55°, which is ½ of m<arc CD.
m<arc CD = 110° = m<CAD.
m<CBD = ½ of m<CAD = 55°.
The statement that best describes the relationship between <CBD and <CAD is "Because <CBD is an inscribed angle and <CAD is a central angle with the same intercepted arc, m<CBD = 55°, or half of the measure of <CAD."
Answer:
- Question 1a. i)

- Question 1a. ii)

- Question 1b)

Explanation:
<u><em>Question 1 a. i) Find the value of x.</em></u>

For the smalll triangle you can write:

For tthe big triangle:

Substitute:

Solve for x:

<u><em>Question 1a ii) Find the volume of the frustrum</em></u>
- Find the volume of a cone with height = 2.7m + 1.8m = 4.5m, and radius = 2.5m
Formula:

Substitute:

- Find the volume of a cone with heigth = 1.8m and radius = 1m

- Subtract the volume of the small cone from the volume of the big cone

<u><em>Question 1b. Calculate the volume of the bin</em></u>
<u>i) Upper frustrum</u>
This is the same frustrum from the equation of above, thus ist volume is 27.6m³.
<u>ii) Lower frustrum</u>




<u>iii) Add the volume of the two frustrums</u>
The area is given by:
A = Ab + Al
Where,
Ab: base area
Al: lateral area
The area of the base is:
Ab = (3/2) * (L ^ 2) * (root (3))
Where,
L: side of the hexagon.
Substituting we have:
Ab = (3/2) * (4 ^ 2) * (root (3))
Ab = (3/2) * (16) * (root (3))
Ab = 24raiz (3)
The lateral area is:
Al = (6) * (1/2) * (b) * (h)
Where,
b: base of the triangle
h: height of the triangle
Substituting we have:
Al = (6) * (1/2) * (4) * (6)
Al = 72
The total area is:
A = 24raiz (3) + 72
Answer:
A = 24raiz (3) + 72