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3 years ago

(05.05)Polygon ABCD has the following vertices:

Mathematics

1 answer:

Kaylis [27]3 years ago

4 0

Answer is option b)38.5 sq.units

Given vertices are A(-4,2) ,B(3,2),C(3,-5) and D(-4,-2)

Area of polygon is defined in the image.

If you have any doubts see the image or ask in comments box.

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Standard deviation of 300, 785, 670, 187, 760, 724

White raven [17]

STEP 1

Mean = $\frac{300+785+670+187+760+724}{6} = \frac{3426}{6}=571$

STEP 2

Subtract the mean from each data value then square the answer
$300-571=-271$ ⇒ $(-271)^{2} =73441$
$785-571=214$ ⇒ $(214)^{2}=45796$
$670-571=99$ ⇒ $(99)^{2}=9801$
$187-571=-384$ ⇒ $(-384)^{2} =147456$
$760-571=189$ ⇒ $189^{2}=35721$
$724-571=153$ ⇒ $153^{2} =23409$

STEP 3

Add the squared answers in STEP 2 then find the mean

$\frac{73441+45796+9801+147456+35721+23409}{6}= \frac{335624}{6}=55937.3$

STEP 4

Square root the answer in STEP 3
$\sqrt{55937.3} =236.5$

Standard deviation is 236.5

7 0

3 years ago

Find the value of x.<br> (16x-4)°<br> 58°<br> (9x-6)°

mars1129 [50]

16x - 4 + 58 + 9x - 6 = 180
25x + 48 = 180
25x = 132
x = 5.28

5 0

2 years ago

Find vertex of f(x)=(x+3)(x-5)

astra-53 [7]

The x coordinate of the vertex will be the average of the two zeros, here -3 and 5, so x=(-3+5)/2 = 1, f(1)=(1+3)(1-5) = -16.

Answer: (1, -16)

Let's do it some other ways. How about completing the square to turn f in to vertex form?

f(x) = (x+3)(x-5) = x² - 2x - 15 = (x² - 2x + 1) - 1 - 15 = (x-1)² - 16

and now we can read off (1, -16) as the vertex.

The other method is the vertex is x= - b/2a = - (-2)/2(1) = 1.

Three methods, same answer. Good.

4 0

2 years ago

Read 2 more answers

Barb exercise for 14 hours in 1 week how many hour does she exercise in 32 weeks

Blizzard [7]

14 times 1 = 14

14 times 32 = 448

Barb exercised for 448 hours in 32 weeks.

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3 years ago

What is 1 mile to 800 feet?

zalisa [80]

1 mile is 6.6 times 800 feet.

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2 years ago