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Ymorist [56]
3 years ago
5

The diameter of the bottom of a lamp shade is twice the diameter of the top of the lamp shade. The top of the lamp shade has a 9

-inch diameter. What’s the circumference of the bottom of the lamp shade? (Hint: Find the diameter of the bottom of the shade, then the circumference.)
Mathematics
1 answer:
GarryVolchara [31]3 years ago
5 0

Answer:

see explanation

Step-by-step explanation:

The circumference (C) is calculated as

C = πd ← d is the diameter

diameter = 2 × 9 = 18 in ( twice the top diameter ), thus

C = 18π in ← exact value ≈ 56.55 in ( to 2 dec. places )

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An angle measures 32° more than the measure of its complementary angle. What is the measure of each angle?
Leviafan [203]

Answer:

29° ; 61°

Step-by-step explanation:

Let one angle  = x°

Other angle = (x + 32)°

x + x + 32 = 90   {given they are complementary}

2x + 32 = 90

2x = 90 -32

2x = 58

x = 58/2

x = 29

One angle  = 29°

Other angle = 29 + 32 = 61°            

3 0
3 years ago
What is the value of x?   Enter your answer in the box. x = [ ]​
zhenek [66]
<h2>Answer:</h2>

Since both angles are vertical angles, we need to set them equal to each other.

2(x + 10) = 3x - 30\\\\2x + 20 = 3x - 30\\\\5x + 20 = 30\\\\5x = 50\\\\x = 10

The final answer is <em>x = 10</em>.

4 0
3 years ago
Explain (1+y)^2 how does it turn into 1+2y+y^2 ? i don't understand
Greeley [361]
I will show you the steps on how you get that answer and if you have any questions after that let me know and I'd be more than happy to help answer them for you.
The first step for solving (1 + y)² is to use the equation (a + b)² = a² + 2ab + b² to expand the expression.
1² + 2 × 1y + y²
1 raised to any power equals 1,, so remove the power.
1 + 2 × 1y + y²
Calculate the product of 2 × 1y.
1 + 2y + y²
Finally,, use the commutative property to reorder the terms.
y² + 2y + 1
Let me know if you have any further questions.
:)
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SashulF [63]
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3 years ago
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