Answer:
Step-by-step explanation:
nth term = ar^(n-1)
a3 = 1/8; ar² = 1/8
a6 = 1; ar⁵ = 1



So, Option C is correct.
Step-by-step explanation:
We need to find Volume of cone.
We are given:
π = 3.14
Length = 27 cm
Diameter = 15 cm
The formula used to find Volume of cone is:

We are given diameter but we need radius in the formula
So, Radius = Diameter/2 = 15/2 = 7.5 cm
We need to find height of cone.
Using Pythagoras theorem:

So, Height of cone = p= 25.93
So, r= 7.5 and h= 25.93 and π = 3.14
Putting values in the formula:


Rounding off to the nearest tenth:

So, Option C is correct.
Keywords: Volume of cone.
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The statement ' educators should ensure math instruction is only taught through structured activities rather than through everyday situations and routines is True. Option A
<h3>Ways to improve mathematics education</h3>
They include;
- Using hands-on learning methods
- Integration of mathematics game
- Connecting math concepts to everyday life
- Allow students to explain their reasoning
- Rewarding students progress
Thus, the statement ' educators should ensure math instruction is only taught through structured activities rather than through everyday situations and routines is True. Option A
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Answer:
1) 27.374
2)9.177
Step-by-step explanation:
1) To get the value of x , we use the appropriate trigonometric ratio
From what we are given;
we have the hypotenuse ( the side facing the right angle) and the adjacent
The trigonometric identity to use here is the cos
The cos of an angle is the ratio of the adjacent to the hypotenuse
cos 64 = 12/x
x = 12/cos 64
x = 27.374
2) Here, we are given the hypotenuse and the opposite
The trigonometric ratio to use here is the sine
the sine of an angle is the ratio of the opposite to the hypotenuse
thus, we have it that;
sin 35 = x/16
x = 16 sin 35
x = 9.177