Question:
Choose an equivalent expression for 12^3 • 12^9 • 12^4 • 12^2
A. 12^4 B. 12^18 C. 12^35 D. 12^216
Answer:

Step-by-step explanation:
Given

Required
Determine the equivalent
Applying law of indices, we have:


Hence:

This is a combination of the formula of several figures.
The first one is the bottom of the cylinder AKA a circle.
The second one is the cylinder - the bottom and the top.
The third one is a cone without a bottom.
The first one can be written like this: r^2*3.14 where r is the radius of the circle
The second one is written like this: 2*3.14*r*h where r is the radius, and h the height
The third one is written like this: l*r*3.14
After this you just have to input the values.
bottom cylinder Cone (Use calculator if possible)
(3^2*3.14)+(2*3.14*3*5)+(6*3*3.14)=
28.26 + 94.2 + 56.52 = 178.98 in^2
The correct answer is 178.98 in^2.
Youre welcome.
EXTRA:
If youre wondering how to find the different formulas, you can search for the full formula, then remove the parts you do not need, by matching them with the formula of the part you want to remove.
Example:
Cylinder:
SA = 2(pi<span> r</span><span> 2</span><span>) + (2 </span><span>pi </span><span>r)* h
</span>In this case, i didnt need the top and bottom, then i look for the formula of a circle.
Circle SA = pi r^2
Is this anywhere in the cylinder? Yes! The first part.
Then we are left with:
2 + (2 pi r)*h
But that 2 looks strangely placed, and with some reason, one quickly understands that it means "top AND bottom", but since we removed the circle surface, we have to remove that part too.
So the final result of the formula is:
2 pi r h
Answer:
Line A overlaps line B
Step-by-step explanation:
find gradient of both A and B and use it to find the equation of both lines
final answer will reveal that both lines are the same implying that one overlaps the other
Answer:
The first one 7 × 10³
Step-by-step explanation:
7 × <u>10³</u>
evaluate the power
7 × 1000
multiply
7000
Length of the radius of the cone is equals to 5 cm.
<h3>What is right circular cone?</h3>
" A right circular cone is the 3 dimensional solid shape, which has an axis that is perpendicular to its circular base."
Formula used
Pythagoras theorem
(Hypotenuse)² = (adjacent side)² + (opposite side)²
According to the question,
Slant height 'l' of the cone = 13cm
height 'h' of the cone = 12cm
Let 'r' be the radius of the base of the cone.
As per the diagram,
InΔABC,
Apply Pythagoras theorem, we get
(l)² = (h)² +(r)²
Substitute the values of 'l' and 'h' in the formula we get,
(13)² =(12)² + (r)²
⇒ (r)² = 169 - 144
⇒ r =√25
⇒ r = 5cm
Hence, length of the radius of the cone is equals to 5 cm.
Learn more about right circular cone here
brainly.com/question/12478210
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