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Marat540 [252]
4 years ago
9

A Norman window has the shape of a semicircle atop a rectangle so that the diameter of the semicircle is equal to the width of t

he rectangle. What is the area of the largest possible Norman window with a perimeter of 22 feet?
Mathematics
1 answer:
Advocard [28]4 years ago
5 0
<span> Norman window with a perimeter of 22 feet?</span>
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Determine the nature of the roots:
malfutka [58]

Answer:

A.  2 distinct roots.

Step-by-step explanation:

2x^2 + 8x + 3 = 0

Finding the discriminant:

b^2 - 4ac = 8^2 - 4 * 2 * 3

=  64 - 24

= 40

The discriminant is positive but not a perfect square

So there are 2 distinct ,real, irrational roots.

5 0
3 years ago
URGENT PLEASE HELP 45 POINTS! Complete this activity. Given: f(x) = x + 2 <br><br> [f(x)] 2 =
ivanzaharov [21]

We are told that f(x) = x + 2. We want to find (f(x))^{2}.

Squaring f(x) on one side means we square x + 2 on the other.

So,

f(x) = x + 2

(f(x))² = (x + 2)²

= (x + 2)(x + 2)

We can use FOIL to square x + 2. The first terms multiply to x², the outside terms to 2x, the inside terms to 2x and the last terms to 4.

= x² + 2x + 2x + 4

= x² + 4x + 4


So [f(x)]² = x² + 4x + 4

3 0
3 years ago
Natalie works in a department store selling clothing. She makes a guaranteed salary of $300 per week but is paid a commission on
Luba_88 [7]

Answer:  Natalie make $ 367.5 in a week  in which she made $225 in sales .

Natalie make $ ( 300+x ) in a week  in which she made $ x  in sales .

Step-by-step explanation:

Base Salary of Natalie =  $300

Also, she gets 30% of the her total sales for the week.

If total sales in a week = $225

commission = 30% of $225

= $ ( 0.30 × 225)

= $ 67.5

Natalie got = Base Salary  + Commission

= $300 + $ 67.5

= $ 367.5

∴ Natalie make $ 367.5 in a week  in which she made $225 in sales .

If total sales in a week = $x

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= $ ( 0.30 × x)

= $ 0.30 x

Natalie got = Base Salary  + Commission

= $ ( 300+x )

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7 0
3 years ago
What is the answer to |60| ____|-60|
Anna71 [15]

Answer:

=

Step-by-step explanation:

Equal too, you are finding the absolute value of both of them which means getting rid of any signs that is attached to them. 60 = 60

8 0
3 years ago
Read 2 more answers
50% more than what number is 20% less than 60% more than 10?
k0ka [10]

Answer:

Step-by-step explanation:

Let's start by decoding this :)

First lets do 60% more than 10; 16 (mental math)

Next, lets do 20% less than 16;  x/16 = 80/100 (Equation)

After solving by cross multiplying & then simplifying (make sure both denominators are 100), you should get 12.8 as your final #! Hope this helped.

6 0
3 years ago
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