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3 years ago

Find the area of the shaded polygons:

Mathematics

2 answers:

aleksandrvk [35]3 years ago

8 0

Answer:

$\large\boxed{Area=9}$

Step-by-step explanation:

$\text{Use Pick's theorem.}$

$\text{Pick’s Theorem then states that:}$

$Area= i + \frac{b}{2}-1$

$i\ \text{stands for the number of points in the interior of the shape,}\\b\ \text{stands for the number of points on the boundary of the shape.}$

$\text{We have}\\\\i=8\ \text{and}\ b=4.\\\\\text{Substitute:}\\\\Area=8+\dfrac{4}{2}-1=8+2-1=9$

garri49 [273]3 years ago

3 0

Answer:

Step-by-step explanation:

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Kali trains for a race by running around a track each lap around the track is 400 meters she runs 4 kilometers each day how many

ASHA 777 [7]

I am not very sure but it might be 30 laps.

5 0

3 years ago

Heyaaa, can you help me out? I'm not exactly sure how to go about solving this.

scZoUnD [109]

Answer:

$48

Step-by-step explanation:

if youre paying 9.60 in tax and the tax is 20% you have to find out what 9.60 is 20% of

and 9.60 is 20% of 48

4 0

2 years ago

Read 2 more answers

I need to find measure of angle "u" m

garik1379 [7]

Answer:

30°

Step-by-step explanation:

TW UV

If an ARC subtends an angle in the circle (on the opposite side of the circumference), the measure of that angle will be HALF of the Arc. In other words, the Arc's measure will be DOUBLE of that angle.

The measure of the angle would be SAME if the angle subtended in the center of the circle, thought.

Now, looking at the image, we can see that:

Arc TW subtends Angle V and Angle U

*on the opposite side of the circumference*

So,

Angle V (measure given to be 30) is HALF of Arc TW, so

Arc TW = 2 * 30 = 60

So, Angle U is half of Arc TW

60/2 = 30

Hence,

7 0

3 years ago

George is throwing a party for his son's 9th birthday he orders for sandwiches to the party if each person will eat 2/3 of a san

ddd [48]

Answer:

George can feed 6 people.

Step-by-step explanation:

Given:

Number of sandwiches = 4

Each person eats two-third of a sandwich.

Therefore, number of persons eating 4 sandwich is given as:

$\textrm{Number of persons} =\frac{\textrm{Total sandwiches eaten}}{\textrm{Total sandwiches eaten by 1 person}}$

Therefore,

$\textrm{Number of persons} = \frac{4}{\frac{2}{3}}\\\\\textrm{Number of persons} =4\times \frac{3}{2}=6$

7 0

3 years ago

Finding a polynomial of a given degree with given zeros

galben [10]

Since f(x) is a polynomial with 3rd degree, then it will have 3 roots (zeroes)

One of them is real and the other two are complex conjugate roots

Since the real root is 4, then

x = 4

Since the complex root is (1 - i), then

The other root will be the conjugate of it (1 + i)

x = (1 - i)

x = (1 + i)

To find f(x) we will multiply the three factors of it

We can get the factors from the zeroes

$x=4$

Subtract 4 from both sides

$\begin{gathered} x-4=4-4 \\ x-4=0 \end{gathered}$

The first factor is (x - 4)

$\begin{gathered} x=1-i \\ x-(1-i)=(1-i)-(1-i) \\ x-1+i=0 \end{gathered}$

The second factor is (x - 1 + i)

The third factor is (x - 1 - i)

$f(x)=(x-4)(x-1+i)(x-1-i)$

We will multiply them to find f(x)

$\begin{gathered} (x-1+i)(x-1-i)= \\ x^2-x-ix-x+1+i+ix-i-(i^2)= \\ x^2-2x+1-(-1)= \\ x^2-2x+1+1= \\ x^2-2x+2 \end{gathered}$

Multiply it by (x - 4)

$\begin{gathered} f(x)=(x-4)(x^2-2x+2) \\ f(x)=x^3-2x^2+2x-4x^2+8x-8 \\ f(x)=x^3-6x^2+10x-8 \end{gathered}$

The answer is

$f(x)=x^3-6x^2+10x-8$

5 0

1 year ago