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3 years ago

Which side of the polygon is exactly 6 units long?

Mathematics

1 answer:

stiks02 [169]3 years ago

7 0

Answer:

its CD because you see the points for

Step-by-step explanation:

-6,-8 and 4,-8

hope its right

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Help how do and is help?

Dimas [21]

Answer:

x = 12

Step-by-step explanation:

The total of all the angle is 180 degrees so just divide 180 by the total number of x's which is 5+4+3+2+1 = 15

180/15 = 12

If you wanted to know how much each angle is just plug in 12 for x.

So first angle is just X so it is 12 degrees.

Second angle is 2X so 2x12 = 24 degrees.

and so on for all the angles.

6 0

3 years ago

Janine is twice as old as her brother Mark at the center of their ages is 24 hot how old is Janine

Marianna [84]

Answer:

Let Marc's age be x. If Jeanine is twice as old as Marc, then her age will be 2x. If their ages added together are 24, then you can create the following equation:2x + x = 243x = 24x = 8Remember that x is Marc's age. So if Marc is 8, and Jeanine is twice as old, she will be 16.

Step-by-step explanation:

8 0

3 years ago

Will give brainiest!! Please tell me if these two questions are the same. I can't tell I swear. Thank you

elena-14-01-66 [18.8K]

Answer:

The questions are the same

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

A container in the shape of a square-based prism has a volume of 2744 cm'. What dimensions give the

Vinvika [58]

Answer:

The dimensions that give the minimum surface area are:

Length = 14cm

width = 14cm

height = 14cm

And the minimum surface is:

S = 1,176 cm^2

Step-by-step explanation:

A regular rectangular prism has the measures: length L, width W and height H.

The volume of this prism is:

V = L*W*H

The surface of this prism is:

S = 2*(L*W + H*L + H*W)

If the base of the prism is a square, then we have L = W

Then the equations become:

V = L*L*H = L^2*H

S = 2*(L^2 + 2*H*L)

We know that the volume of the figure is 2744 cm^3

Then:

V = 2744 cm^3 = H*(L^2)

In this equation, we can isolate H.

H = (2744 cm^3)/(L^2)

Now we can replace this on the surface equation:

S = 2*(L^2 + 2*L* (2744 cm^3)/(L^2))

S = 2*L^2 + 4(2744 cm^3)/L

Now we want to minimize the surface area, then we need to find the zeros of the first derivative of S.

S' = 2*(2*L) - 4*(2744 cm^3)/L^2

This is equal to zero when:

0 = 2*(2*L) - 4*(2744 cm^3)/L^2

0 = 4*L*L^2 - 4*(2744 cm^3)

4*(2744 cm^3) = 4*L^3

2744 cm^3 = L^3

∛(2744 cm^3) = L = 14cm

Then the length of the base that minimizes the surface is L = 14.

Then we have:

H = (2744 cm^3)/(L^2) = (2744 cm^3)/(14cm)^2 = 14cm

Then the surface is:

S = 2*(L^2 + 2*L*H) = 2*( (14cm)^2 + 2*(14cm)*(14cm)) = 1,176 cm^2

8 0

3 years ago

The dimensions of a rectangle are such that its length is 3 in. more than its width. If the length were doubled and if the width

Kay [80]

Answer:

The length of the rectangle is 11 inch and its width is 8 inch.

Step-by-step explanation:

Given:

Rectangle $(R_1)$ and rectangle $(R_2)$ .

Let the width of the rectangle be 'x' inch.

Its length = '(x+3)' inch

Area of the rectangle = $(A_1)$

⇒ $A_1$ = $(x)(x+3)$

Now for rectangle $(R_2)$ its width is decreased by 1 inch and length is doubled,the area $(A_2)$ will increased by 66 sq-inch.

So,

$A_2=A_1+66$

According to the question.

⇒ Area of rectangle $(R_2)$ with width '(x-1)' and length '2(x+3)'='(2x+6)' .

⇒ $A_2=(x-1)(2x+6)$

Plugging the values of $A_2$ in terms of $A_1$ .

⇒ $A_1+66= (x-1)(2x+6)$

Plugging $A_1$ = $(x)(x+3)$ into the equation.

⇒ $(x)(x+3)+66=(x-1)(2x+6)$

⇒ $x^2+3x+66=2x^2+6x-2x-6$

⇒ $x^2-2x^2+3x-6x+2x+6+66=0$

⇒ $-x^2-x+72=0$

Now using quadratic formula we can find the value of 'x'.

Quadratic formula, (x)= $\frac{\pm b+\sqrt{b^2-4ac} }{2a}$

x= -9 and x= 8

Discarding the negative value.

Our width = 'x' = 8 inches.

So the length of the rectangle = 11 inches and width of the rectangle = 8 inches.

7 0

3 years ago