Answer:
Step-by-step explanation:
<u>The two angles of the triangle ADB are:</u>
- m∠A/2 and m∠B/2 or
- α/2 and β/2
<u>The three interior angles add to 180°, so the missing angle is:</u>
- m∠ADB = 180° - 1/2(α + β)
Answer:

Step-by-step explanation:
Given
See attachment for circles
Required
Ratio of the outer sector to inner sector
The area of a sector is:
For the inner circle

The sector of the inner circle has the following area

For the whole circle

The sector of the outer sector has the following area

So, the ratio of the outer sector to the inner sector is:


Cancel out common factor

Express as fraction

Answer:
<h3>C. They are both perfect squares and perfect cubes.</h3>
Step-by-step explanation:
Perfect squares are numbers that their square root can be found easily without any remainder.
Given the following patterns;
1*1 = 1 and 1*1*1 = 1
It can be seen that 1 is 1 perfect square since 1*1 = 1² = 1
Also 1 is perfect cube since 1*1*1 = 1³ = 1 (cube of the value gives 1)
Similarly for the expression;
8*8 = 64
8² = 64 (since the square of 8 gives 64, then 64 is known to be a perfect square)
Also 4*4*4 = 64
i.e 4³ = 64 (This shows that the cube root of 64 is 4 making it a perfect cube since we can get a whole number for the cube root of 64)
The same is applicable for other expressions 729 = 27 × 27, and 9 × 9 × 9, 4,096 = 64 × 64, and 16 × 16 × 16
This values are easily expressed as a constant multiple of a number showing that they are both perfect squares and perfect cubes.
Answer:
(344*20) + ( 2*20) = (20*2) = ?
Step-by-step explanation:
Answer:
The volume of the cone is 75.36 cm³
Step-by-step explanation:
The rule of the volume of a cone is V =
π r² h, where
- r is the length of the radius of its base
- h is the height of the cone
In the given figure
∵ The length of the radius of the cone is 3 cm
∴ r = 3 cm
∵ The length of the height of the cone is 8 cm
∴ h = 8 cm
→ Substitute the values of r and h in the rule of the volume above
∵ π ≅ 3.14
∵ V =
(3.14)(3)²(8)
∴ V = 75.36 cm³
∴ The volume of the cone is 75.36 cm³