Nd Practice
1 answer:
Answer:
a. Factor (divisor).
b. Factor (divisor).
c. Multiple.
Step-by-step explanation:
Given the algebraic expression;
28 = 7 * 4
We can re-write the expression as;
1.
2.
Hence, we can deduce the following points from the above algebraic expression;
a) With respect to 28, 4 represents a factor or divisor.
b) With respect to 28, 7 represents a factor or divisor.
c) With respect to each of the numbers 7 and 4, 28 represents a multiple.
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Formula of the Volume of a hemisphere:
V =
r³
144
= r³
Multiply by 3 to cancel fraction in the right side
144 × 3 = 2 r³
432 = 2r³
Divide by 2 on either sides to isolate r³
= 
r³
2 and 
cancel out
216 = r³
Take cube root to find the radius
![\sqrt[3]{216}](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B216%7D%20)
= ![\sqrt[3]{r^3}](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7Br%5E3%7D%20)
6 = r
Radius is 6 units
The formula of the surface area of a hemisphere is:
S.A = 2r² + r²
=
(6)² + (6)²
=2 × 36 + 36
= 72 + 36
= 108 units² (in terms of )
≈ 339.12 units²
Surface area = 108 units
V =
144
Multiply by 3 to cancel fraction in the right side
144
432
Divide by 2
2
216 = r³
Take cube root to find the radius
6 = r
Radius is 6 units
The formula of the surface area of a hemisphere is:
S.A = 2
=
=2
= 72
= 108
≈ 339.12 units²
Surface area = 108
Answer:
See Explanation
Step-by-step explanation:
The question has missing details. So, I'll solve using a general assumption.
Let one of the coordinates of the figure be
Let the scale factor be n
When dilated, the new figure is:
To return the image back to the original figure, the new scale factor mus be a reciprocal of the previous scale factor i.e.
So:
Substitute n(x,y) for A';
Take for instance:
-- scale factor
To get A from A', using the analysis above