Kate is arranging new furniture in her rectangular sitting room. She has mapped the arrangement on a coordinate pane. A, B, and C represent the sofas, V1 and V2 are decorative vases and AQ represents the aquarium. Find the distance between V2 and the aquarium in Kate's sitting room.
A. 1 units
B. √101
C. √221
D. 11 units

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Answer:

An = 74(1.07)^n-1

Step-by-step explanation:

Here, we want to get the explicit rule

We are told that the sequence is geometric

At hour 4, we have that this is the 4th term

With conformance to the rule of geometric progression;

T4 = ar^3

90 = ar^3

for the 6th hour, this is the sixth term

103 = ar^5

dividing the 6th term by the 4th term, we have that

103/90 = ar^5/ar^3

103/90 = r^2

r = 1.07

To get a, we simply use any of the terms to substitute

using;

ar^3 = 90

a = 90/r^3

a = 90/1.07^3

a = 73.5 which is approximately 74

So the explicit rule is as follows;

An = 74(1.07)^n-1

Answer:

Area of sector = 117.6 cm²

Step-by-step explanation:

Radius of sector r = 10 cm

Angle Ф = 135°

We need to find Area of sector

The formula used is: [tex]\mathbf{Area\:of\:Sector=\frac{\theta}{360^{\circ}}\times \pi r^2}[/tex]

Where Ф is the angle, and r is the radius.

Putting values and finding area of sector

[tex]\mathbf{Area\:of\:Sector=\frac{\theta}{360^{\circ}}\times \pi r^2}\\Area\:of\:Sector=\frac{135}{360}\times 3.14 (10)^2\\Area\:of\:Sector=0.375 \times 3.14 \times 100\\Area\:of\:Sector=117.75[/tex]

Now, rounding off answer to 1 decimal place:

[tex]Area\:of\:Sector=117.6\: cm^2[/tex]

So, Area of sector = 117.6 cm²

Answer:  B) neither

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Let's isolate y in the first equation. This way we can find the slope.

x-2y = 4

-2y = 4-x

-2y = -x+4

y = (-x+4)/(-2)

y = -x/(-2) + 4/(-2)

y = (1/2)x - 2

This matches with y = mx+b form with m = 1/2 being the slope.

The slope of y = 2x-2 is m = 2

------------------------------

The slope of the first line is 1/2 and the slope of the second line is 2.

Since the two slopes (1/2 and 2) are not equal, this means the lines are not parallel.

Also, the two slopes do not multiply to -1, so the lines aren't perpendicular either.

This leads to B) neither as the final answer.

Answer:

√13 - √11

Step-by-step explanation:

You have to simply the radical expression

Answer:

1400/100 x 2.25 = $31.50

Answer:

y=[tex]6\sqrt{2}[/tex]

Step-by-step explanation:

[tex]\frac{6}{sin45} =\frac{x}{sin45} \\x=6\\\\y^{2}=6^{2} +6^{2} \\y=\sqrt{72} \\y=6\sqrt{2}[/tex]

Step-by-step explanation:

(2x+13)°=3y°

(5y-4)-180=3y

5y-184=3y

5y-3y=184

2y=184

y=92

2x+13=3*92

2x=263

x=131.5

Answer:

As Mixed Fraction

= $ (4 171717/1000000)

As a fraction

= $(4171717/1000000)

Step-by-step explanation:

A manufacturer determines that the cost of making a computer component is $4.171717. Write the repeating decimal cost as a fraction and as a mixed number

As a mixed fractions

= $4.171717 = $4 + 171717/1000000

= 4 171717/1000000

As. Fraction

= 4171717/1000000

Answer:

2 miles branliest pls

Step-by-step explanation:

Answer:

2miles in 1 hour

Step-by-step explanation:

miles  hours

1/2        1/4

1           2/4

1 1/2      3/4

2          4/4

Answer:

The point is not a solution for both inequalities, so the point is not a solution for the system of inequalities.

Step-by-step explanation:

Answer: y = -1/3x - 1

Step-by-step explanation:

Answer:

(a): [tex]x-5> 4[/tex] and [tex]2x-10 >8[/tex]

Step-by-step explanation:

Given

Pairs of inequalities

Required

Select which is equivalent

(a): [tex]x-5> 4[/tex] and [tex]2x-10 >8[/tex]

Multiply both sides of [tex]x-5> 4[/tex] by 2

[tex]2 * (x - 5) > 4 *2[/tex]

[tex]2 * x - 2*5 > 4 *2[/tex]

[tex]2x - 10 > 8[/tex]

Hence: [tex]x-5> 4[/tex] is equivalent to [tex]2x - 10 > 8[/tex]

(b): [tex]x-5> 4[/tex] and [tex]2x+10 >8[/tex]

Multiply both sides of [tex]x-5> 4[/tex] by 2

[tex]2 * (x - 5) > 4 *2[/tex]

[tex]2 * x - 2*5 > 4 *2[/tex]

[tex]2x - 10 > 8[/tex]

Hence: [tex]x-5> 4[/tex] is not equivalent to [tex]2x+10 <8[/tex]

(c): [tex]x+5> 4[/tex] and [tex]2x+10 <8[/tex]

Multiply both sides of [tex]x+5> 4[/tex] by 2

[tex]2 * (x + 5) > 4 *2[/tex]

[tex]2 * x + 2*5 > 4 *2[/tex]

[tex]2x + 10 > 8[/tex]

Hence: [tex]x+5> 4[/tex] is not equivalent to [tex]2x+10 <8[/tex]

Answer:

7 - 2 / x = 4 + 10 / x

or , 7 - 4 = 10 / x + 2 / x

or , 3 = 12 / x

or , x = 12 / 3

Therefore , x = 4

Answer:

Step-by-step explanation:

They are both sine functions. The blue one is multiplied by 2 and shifted down one.

blue:  y = 2 * sin(theta) - 1

green: y = sin(theta)

I'm not sure what the answers mean.

Answer:

6

Step-by-step explanation:

Answer:

hmmmmmm

i believe that the answer is _

because of _

(i helped w/ your other one lol)

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Quotient means the answer of a division problem.

The only answer choice that shows division is option D.

Answer:

48

Step-by-step explanation:

Picture relating to the question is attached

Answer:

Andy = 1/2

Bill = 1/8

Carl = 1/8

Evan = 1/8

Dirk = 1/8

Step-by-step explanation:

According to the picture depicting the sharing of the land :

Fraction of the total rectangular plot = 1

Andy got a portion of the whole divided into 2 = 1/2

Fraction left after Andy's portion:

1 - 1/2 = 1/2

1/2 of the fraction left was divided equally between Dirk and Evan

Hence ;

1/2 of 1/2 = 1/2 * 1/2 = 1/4

Dirk's share = 1/4 ÷ 2 = 1/4 * 1/2 = 1/8

Evan's share = 1/4 ÷ 2 = 1/4 * 1/2 = 1/8

Fraction of land left :

1 - (1/2 + 1/8 + 1/8) = 1 - 3/4 = 1/4

1/4 was divided equally into 2 for Bill and Carl:

Bill's share = 1/4 ÷ 2 = 1/4 * 1/2 = 1/8

Carl's share = 1/4 ÷ 2 = 1/4 * 1/2 = 1/8

Answer:

N=5

Step-by-step explanation:

38N = 10*4 + (4+6)15

38N = 180

N=5

Answer:

Answer:

N=5

Step-by-step explanation:

Step-by-step explanation:

38N = 10*4 + (4+6)15

38N = 190

N=5

Answer:

In geometry, a triangular prism is a three-sided prism; it is a polyhedron made of a triangular base, a translated copy, and 3 faces joining corresponding sides. A right triangular prism has rectangular sides, otherwise it is oblique. A uniform triangular prism is a right triangular prism with equilateral bases, and square sides.

Step-by-step explanation:

bro trust me

Answer: Each candy bar cost him 3$

Step-by-step explanation:

First you subtract 26-2 to get 24. This is since he purchased the drink for 2$. Now he uses the 24 dollars to buy 8 candy bars, to figure how much each is you have to divide. You divide 24 by 8 in order to get 3.

Answer:

$3

Step-by-step explanation:

Answer: 1/6

Step-by-step explanation:

5/6 - 4/6 = 1/6

Answer:

1

-

6

Step-by-step explanation:

Step-by-step explanation:

An = -2 * An-1

What this means is that you multiply -2 to the term to get the next term.

Since our 1st term (A1) is -2, we have:

A2 = -2 * A1 = -2 * (-2) = 4,

A3 = -2 * A2 = -2 * (4) = -8,

A4 = -2 * A3 = -2 * (-8) = 16,

A5 = -2 * A4 = -2 * (16) = -32,

A6 = -2 * A5 = -2 * (-32) = 64.

Hence our first 6 terms in the GP are

-2, 4, -8, 16, -32 and 64.

Answer:

y = 2/3x -1

Step-by-step explanation:

y intersect is -1 as that's where the line passes the y axis

the slope can be found by finding two points and using the slope formula (y-y)/(x-x)

Answer: x = 11

Step-by-step explanation:

first, i did simple calculations.

4x(2) = 88

that calculates out to:

8x = 88

then, i divided both sides by 8, in order to get x by itself.

8x/8 = 88/8

x = 11