To find the measures of the lettered angles

Mathematics

1 answer:

OLEGan [10]3 years ago

3 0

< d = 90 - 57
< d = 33

< e = 90 - 61
< e = 29

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Given the expression 12 over 12 to the third power.

4vir4ik [10]

Part 1:
Before we begin, you need to remember the following rule:
$\frac{x^a}{x^b} = x^{a-b}$

The given expression is:
$\frac{12}{12^3}$

Since the base is the same in both numerator and denominator, we can apply the above rule. This means that:
$\frac{12}{12^3}$ = 12¹⁻³ = 12⁻²

Part 2:
Before we begin, you need to remember the following rule:
x⁻ᵃ = $\frac{1}{x^a}$

Now, from part 1, we simplified the expression into 12⁻²
Since the power is negative, we can apply the above rule.
This means that:
12⁻² = $\frac{1}{(12)^2} = \frac{1}{12*12} = \frac{1}{144}$

Hope this helps :)

5 0

4 years ago

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The center of the basketball court has a diameter of 12 feet. What is the area of the circle

jekas [21]

Answer:36π squared feet

Step-by-step explanation:

Diameter=12

Radius=diameter/2

Radius=12/2

Radius=6 feet

Area of circle=π x Radius x Radius