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Goryan [66]
3 years ago
13

What is the perimeter of the polygon?

Mathematics
1 answer:
mr_godi [17]3 years ago
6 0
Welp. I sure hope you like the Pythagorean theorem...
Top line:
One point is (-2,-2) while the other is (3,-3)
Thus the distance in between is sqrt((3-(-2))^2+(-3-(-2))^2)=sqrt(5^2+(-1)^2)=sqrt(26)
Most right line:
One point is (4,-6) while the other is (3,-3)
Thus the distance in between is sqrt((3-4)^2+(-3-(-6))^2)=sqrt((-1)^2+3^2)=sqrt(10)
Most bottom line:
One point is (1,-6) while the other is (4,-6)
Thus the distance in between is sqrt(4-1)^2+(-6-(-6))^2)=sqrt(3^2+0^2)=sqrt(9)=3
Most bottom left line:
One point is (1,-6) while the other is (-2,-4)
Thus the distance in between is sqrt((1-(-2))^2+(-6-(-4))^2)=sqrt(3^2+(-2)^2)=sqrt(13)
Lastly the most left line:
One point is (-2,-2) while the other is (-2,-4)
Thus the distance in between is sqrt((-2-(-2))^2+(-2-(-4))^2)=sqrt(0^2+(2)^2)=sqrt(4)=2
Thus to find the perimeter, we add up all the sides to get
sqrt(26)+sqrt(10)+3+sqrt(13)+2=16.8668 or B




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Jack bought a set of golf clubs for $250 and received a discount of $20 how much was the discount
Airida [17]

percent discount = (discount)/ original * 100

                             = (20)/250 * 100

                            =.08*100

                            = 8 percent

He got an 8 percent discount

                           

7 0
4 years ago
The product of two whole numbers is<br> 416 and their sum is<br> 42. What are the two numbers?
olga55 [171]

Answer:

The two numbers are <em>16</em> and <em>26</em>.

Step-by-step explanation:

We can solve this question using 2 simultaneous equations based on the given information from the question.

Let number 1 = x

Let number 2 = y

xy = 416 -> ( 1 )

x + y = 42 -> ( 2 )

We can use either substitution or elimination to solve simultaneous equations. For this question, we will use substitution as it is the easier and shorter option.

Make y the subject in ( 2 ):

x + y = 42 -> ( 2 )

y = 42 - x -> ( 3 )

Substitute ( 3 ) into ( 1 ):

xy = 416 -> ( 1 )

x ( 42 - x ) = 416

42x - x^2 = 416

-x^2 + 42x - 416 = 0

- [ x^2 - 42x + 416 ] = 0

- [ x^2 - 16x - 26x + 416 ] = 0

- [ x ( x - 16 ) - 26 ( x - 16 ) ] = 0

- ( x - 16 ) ( x - 26 ) = 0

x = 16 -> ( 4 ) , x = 26 -> ( 5 )

Substitute ( 4 ) into ( 3 ):

y = 42 - x -> ( 3 )

y = 42 - ( 16 )

y = 26

Substitute ( 5 ) into ( 3 ):

y = 42 - x -> ( 3 )

y = 42 - ( 26 )

y = 16

Therefore:

x = 16 , y = 26

x = 26 , y = 16

The two numbers are 16 and 26.

7 0
4 years ago
Can you solve: T-6=-4
Andreyy89
T-6=-4
Just simply add 6 to both sides, it will cancel out the -6 and leave T alone, and it will become T=2, There's your answer.
8 0
4 years ago
Identify the decimal with the greatest value 0.3,0.33,0.033
shtirl [24]
I think 0.033 is the greatest
5 0
3 years ago
Work out the value<br> of <br> 2. 4510 ×10to the power of 9<br> 1.15 × 10 to the power of 3
Simora [160]

Answer:

The result in standard form is: 2.3 \times 10^{6}

Step-by-step explanation:

Dividing the values:

To find the real part, we divide 2.645 by 1.15. So

2.645/1.15 = 2.3

Finding the power:

Its a division, so we keep the base, and subtract the exponents. So

\frac{10^9}{10^3} = 10^{9-3} = 10^{6}

Result in standard form:

The result in standard form is: 2.3 \times 10^{6}

8 0
3 years ago
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