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IgorC [24]
3 years ago
5

Simplify exponential expression (M^4/5n^9)^3

Mathematics
1 answer:
telo118 [61]3 years ago
5 0

Multiply each exponent inside the parentheses by the exponent on the outside of the parentheses:

4/5 x 3 = 12/5

9 x 3 = 27

Answer : m^12/5n^27

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Answer:

20g

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7 0
3 years ago
Express answer in exact form.
bazaltina [42]
The answer is 5.13 in²

Step 1. Calculate the diameter of the circle (d).
Step 2. Calculate the radius of the circle (r).
Step 3. Calculate the area of the circle (A1).
Step 4. Calculate the area of the square (A2).
Step 5. Calculate the difference between two areas (A1 - A2) and divide it by 4 (because there are total 4 segments) to get <span>the area of one segment formed by a square with sides of 6" inscribed in a circle.
</span>
Step 1:
The diameter (d) of the circle is actually the diagonal (D) of the square inscribed in the circle. The diagonal (D) of the square with side a is:
D = a√2            (ratio of 1:1:√2 means side a : side a : diagonal D = 1 : 1 : √2)
If a = 6 in, then D = 6√2 in.
d = D = 6√2 in

Step 2.
The radius (r) of the circle is half of its diameter (d):
r = d/2 = 6√2 / 2 = 3√2 in

Step 3.
The area of the circle (A1) is:
A = π * r²
A = 3.14 * (3√2)² = 3.14 * 3² * (√2)² = 3.14 * 9 * 2 = 56.52 in²

Step 4.
The area of the square (A2) is:
A2 = a²
A2 = 6² = 36 in²

Step 5:
(A1 - A2)/4 = (56.52 - 36)/4 = 20.52/4 =  5.13 in²
6 0
2 years ago
Read 2 more answers
X-5=17??????????????????
yKpoI14uk [10]

Answer:

x=21

Step-by-step explanation:

add 5 to both sides. it gives u 21

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3 years ago
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2 yards is more because 2 yards = 72 inches
5 0
3 years ago
What is the measure of an angle that is complementary to a 47° angle?
77julia77 [94]
Complementary angles add up to 90 so
angle + 47 = 90
angle = 90 - 47
angle = 43 so A
6 0
2 years ago
Read 2 more answers
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