The numbers as powers of 5 are 5^-1, 5^-2, 5^-3 and 5^0
<h3>How to rewrite the numbers as a power of 5?</h3>
The numbers are given as:
• 0.2
• 0.04
• 125^-1
• 15^0
<u>Number 1: 0.2</u>
Express as fraction
1/5
Apply the power rule of indices
5^-1
<u>Number 2: 0.04</u>
Express as fraction
1/25
Express 25 as 5^2
1/5^2
Apply the power rule of indices
5^-2
<u>Number 3: 125^-1</u>
Express as fraction
1/125
Express 125 as 5^3
1/5^3
Apply the power rule of indices
5^-3
<u>Number 4: 15^0</u>
Evaluate the exponent
15^0 = 1
Express 1 as 5^0
15^0 = 5^0
Hence, the numbers as a power of 5 are 5^-1, 5^-2, 5^-3 and 5^0
Read more about exponents at
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Answer:
m∡ZA = 51°
m∡ZB = 39°
Step-by-step explanation:
∡ZB = 'b'
∡ZA = '12 + b'
b + 12 + b = 90
2b + 12 = 90
2b = 78
b = 39
12 + 39 = 51
Given:
Rectangle inside a circle.
To find:
The area of the shaded region.
Solution:
Length of a rectangle = 3 cm
Width of a rectangle = 3 cm
Area of a rectangle = length × width
= 3 × 3
Area of a rectangle = 9 cm²
Radius of a circle = 4 cm
Area of a circle = πr²
= 3.15 × 4²
Area of a circle = 50.24 cm²
Area of shaded region = Area of circle - Area of rectangle
= 50.24 - 9
= 41.24 cm²
The area of the shaded region is 41.24 cm².
Answer:
n = -1
Step-by-step explanation:
To make n on its own, you have to subtract 1 from both sides
0 - 1 = -1 + 1 + n
-1 + 1 = 0
-1 = n
