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Vilka [71]
3 years ago
8

Area between two shapes. Pls help geometry IXL !

Mathematics
2 answers:
fenix001 [56]3 years ago
4 0

Step-by-step explanation:

Area of shaded region = area of exterior rectangle - area of interior rectangle

37 \times 28 - 11 \times 20 \\  \\  = 1,036 - 220 \\  \\  = 816 \:  {yards}^{2}  \\

Lady_Fox [76]3 years ago
3 0

Answer:  816yd

Step-by-step explanation:

1. Multiply 37yd by 28yd which is 1036yd

2. Next, multiply 11yd by 20yd which is 220yd

3. Subtract 220yd from 1036yd which equals 816yd

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QUESTION 5
meriva

Answer:

900°


Step-by-step explanation:

The sum of interior angles of a polygon with n sides is given by:

Sum = (n-2)*180


Here, <u>the polygon has 7 sides</u>, so n=7. Plugging this into the formula gives us:

Sum = (7-2)*180\\=5*180\\=900


So the answer is the first choice, 900°.

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3 years ago
Question
Kay [80]

Answer:

f(x)=2(x-2)(x^2+64)

Step-by-step explanation:

A standard polynomial in factored form is given by:

f(x)=a(x-p)(x-q)...

Where <em>p</em> and <em>q</em> are the zeros.

We want to find a third-degree polynomial with zeros <em>x</em> = 2 and <em>x </em>= -8i and equals 320 when <em>x </em>= 4.

First, by the Complex Root Theorem, if <em>x</em> = -8i is a root, then <em>x </em>= 8i must also be a root.

Therefore, we acquire:

f(x)=a(x-(2))(x-(-8i))(x-(8i))

Simplify:

f(x)=a(x-2)(x+8i)(x-8i)

Expand the second and third factors:

=(x+8i)x+(x+8i)(-8i)\\\\=(x^2+8ix)+(-8ix-64i^2)\\\\=(x^2)+(8ix-8ix)+(-64i^2)\\\\=x^2-64(-1)\\\\ =x^2+64

Hence, our function is now:

f(x)=a(x-2)(x^2+64)

It equals 320 when <em>x</em> = 4. Therefore:

320=a(4-2)(4^2+64)

Solve for <em>a</em>. Evaluate:

320=(2)(80)a

So:

320=160a\Rightarrow a=2

Our third-degree polynomial equation is:

f(x)=2(x-2)(x^2+64)

7 0
3 years ago
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