What is the sum of the series below?
216,345
216,690
218,085
254,045

Answer:

a = 4, x = 1

Step-by-step explanation:

The opposite sides of a parallelogram are congruent , then

WX = YZ , that is

a² + 5a = 5a + 16 ( subtract 5a from both sides )

a² = 16 ( take the square root of both sides )

a = ± [tex]\sqrt{16}[/tex] = ± 4

Since a > 0 , then a = 4

Also

XY = WZ , that is

x² + 6x = 4x + 3 ( subtract 4x + 3 from both sides )

x² + 2x - 3 = 0 ← in standard form

(x + 3)(x - 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 3 = 0 ⇒ x = - 3

x - 1 = 0 ⇒ x = 1

Since x > 0 , then x = 1

Answer:

B?

Step-by-step explanation:

Because you know

diameter is answered into the radius then you divide by 2 if your doing a semi circle, but it's demonstrating that you can change it? I DUNNO HOW TO EXPLAIN, but i would go with B!

Answer:

z=23

Step-by-step explanation:

hope this helps! :)

Answer:

An integer is a whole number that can be either greater than 0, called positive, or less than 0, called negative.

Step-by-step explanation:

Answer:

-28, -19, -18, -15,

Step-by-step explanation Cause -14 is more closer to 0 then all 4 of those negative numbers so that mean all 4 of these negative numbers are greater than -14 :) if that makes sense

Answer: 15.4 m

Step-by-step explanation:

The area of a parallelgoram is:

A = bh,

where b is the base and h is the height.

We know that the base is 7.7 meters, and the height is 2 meters, so we can substitute:

A = 7.7 (2)

A = 15.4 m

Hope this helps! :)

Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

If y = 1/2x, then y will always be half of x.

Answer: x=20

Step-by-step explanation:

If im wrong, sorry

The angles of a triangle add up to 180 degrees.

(3x+5)+(2x+17)+(2x+18)=180

add the ones alike

3x + 2x + 2x=7x

5+17+18=40

so, 7x+40=180

we need to get the variable by itself so we take away 40 first by subtracting it from both sides of the equal sign

7x=140

we take away 7 from x by dividing it- opposite of multiplication is division

x=20

Answer:

x = 20

Step-by-step explanation:

3x+5° + 2x+18° + 2x+17° = 180° (sum of interior angles in a triangle is 180°)

collect like terms

3x + 2x + 2x + 5° + 18° + 17° = 180°

7x + 40° = 180°

solving for x

x = (180 - 40)/7

x = 140/7

x = 20

Answer:

Quotient = x² + x + 3

Reminder = 10

Step-by-step explanation:

We need to divide , x³ - 4x² - 2x - 5 by x - 5

x - 5) x³ - 4x² - 2x - 5 ( x² + x + 3

- x³ -(+)5 x²

_______________

0 + x² - 2x - 5

x² -5x

__________________

0 +3x - 5

+3x -15

__________________

+10

Answer:

The area of whole square is 396 sq mm

the area of triangle  = 99

396 - 99 = 297 sq mm

Answer - 297

Answer:

4/6

Step-by-step explanation:

im smart trust

Answer:

Positive

Step-by-step explanation:

refrigerator is 210, so it positive.

Answer:

Read the excerpt from "Pilgrim at Tinker Creek."

The sharks disappeared as each wave rolled toward me; then a new wave would swell above the horizon, containing in it, like scorpions in amber, sharks that roiled and heaved.

Which answer best describes how the word roiled affects this excerpt?

It shows that the sharks are swimming in unison.

It demonstrates that the sharks are wiggling playfully in the water.

It illustrates that the sharks are swaying gently.

Step-by-step explanation:

i took the test it is not c

Answer:

36 sq inches

Step-by-step explanation:

bases are the two parallel sides -- 8" and 4"

height is perpendicular to the base -- 6"

formula for area of a trapezoid:  A = 1/2h·(sum of bases)

A = 1/2(6)(8 + 4)

A = 3(12)

A = 36 sq inches

Answer: 1/12 is the answer

Step-by-step explanation: 3 , 4

1 of those colors so , 1/3 x 1/4 = 1/12!!

i hope that helps <3

Answer:

2 dogs

Step-by-step explanation:

2 dogs at 1st plus 7 dogs added equals 9

Answer:

64

Step-by-step explanation:

In this problem n is 6 which represents the sixth and final hour of the period. Therefore gn = g6.

g1 = 2 which is the first value in the sequence which corresponds to the first hour where 2 people know the                 rumor.

r = the common ratio is 2, because each successive hour the people who know the rumor doubles... {2, 4, 8...}.

Substitute into equation:     g6 = 2 x 26-1 = 2 x 25 = 2  x 32 = 64 Answer is 64.

Answer:

[tex]Base = 6cm[/tex] and [tex]Height = 12cm[/tex]

[tex]Base = 4cm[/tex] and [tex]Height = 18cm[/tex]

[tex]Base = 9cm[/tex] and [tex]Height = 8cm[/tex]

Step-by-step explanation:

Given

Shape: Triangle

[tex]Area = 36cm^2[/tex]

Solving (a): Three possible dimensions

The area of a triangle is:

[tex]Area = 0.5 * Base * Height[/tex]

Let: [tex]Base = 6cm[/tex]

So, we have:

[tex]36= 0.5 * 6* Height[/tex]

[tex]36= 3* Height[/tex]

Solve for Height

[tex]12 = Height[/tex]

[tex]Height = 12[/tex]

So, a possible dimension is: [tex]Base = 6cm[/tex] and [tex]Height = 12cm[/tex]

Let: [tex]Base = 4cm[/tex]

So, we have:

[tex]36= 0.5 * 4* Height[/tex]

[tex]36= 2* Height[/tex]

Solve for Height

[tex]18 = Height[/tex]

[tex]Height = 18[/tex]

So, a possible dimension is: [tex]Base = 4cm[/tex] and [tex]Height = 18cm[/tex]

Let: [tex]Base = 9cm[/tex]

So, we have:

[tex]36= 0.5 * 9* Height[/tex]

[tex]36= 4.5* Height[/tex]

Solve for Height

[tex]8 = Height[/tex]

[tex]Height = 8[/tex]

So, a possible dimension is: [tex]Base = 9cm[/tex] and [tex]Height = 8cm[/tex]

So, the three possible dimensions are:

[tex]Base = 6cm[/tex] and [tex]Height = 12cm[/tex]

[tex]Base = 4cm[/tex] and [tex]Height = 18cm[/tex]

[tex]Base = 9cm[/tex] and [tex]Height = 8cm[/tex]

Solving (b): Can the side lengths be given

We can only determine the base and the height of the triangle, the third side length can not be determined using the available information

Answer:

Ok

Step-by-step explanation:

Answer:

The width of the garden is 7 feet.

Step-by-step explanation:

If the area is 56 feet, and the length is 8 feet, we can put this into the area equation.

Area = width * length

A = wl

Substitute variables.

56 = 8w

Divide by 8.

7 = w, or w = 7.

The width of the garden is 7 feet.

Answer:

1/12

Step-by-step explanation:

1/4 ÷ 3 = 1/4 x 1/3 = 1/12

Answer:

I would say 32 but I'm so sorry if it's wrong

Answer:

[tex]2\frac{2}{3}[/tex]

Step-by-step explanation:

The first circle is: 3/3

The second circle is: 3/3

The last circle is: 2/3

We just add them all up:

3/3 + 3/3 + 2/3 = 8/3 or [tex]2\frac{2}{3}[/tex]

Answer:

They both can First=1,885 second=628.3

Step-by-step explanation:

Answer:

Yes, I belive so. For the first one (1.884.95592), you have to round them starting with the lowest place number and work your way up.

Answer:

Step-by-step explanation:

Distance from starting point = 8 + 12 = 20km

ok screw it i need to sneep i can't even do simple addition its too late

sorry

-cheesetoasty

Answer:

8 dogs

Step-by-step explanation:

If there were 6 cats, there would be 4 dogs. Since there is double that amount of cats, then we just double the amount of dogs from 4 to 8, our final answer.

I would appreciate Brainliest but no worries.

Answer:

233

Step-by-step explanation:

2=33=2=

Answer:

If you were to attach the shape, I could help.