A 12-foot by 15-foot patio is increased by placing a stone border around the patio. The width of the border is the same all around the patio.The perimeter of the patio after it is expanded is 74 feet.

Answer:

40.32

Step-by-step explanation:

lengthxwidthxheight

Answer:

.

Step-by-step explanation:

Answer:

5/2

Step-by-step explanation:

The claim that Stock A is worth $74.93 more than Stock B is accurate regarding the value of his investments after 4 years is

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Answer: Step-by-step explanation:

540g and 2 kg=2540g

Answer:

36

Step-by-step explanation:

you add the first two the order of operations then you do big and little

Applying the angle of intersecting tangents theorem, m∠ABC = 99°

If two tangents intersect and form an angle outside a circle, based on the angle of intersecting tangents theorem, the angle formed equals half the positive difference of the intercepted arcs.

Given the following:

Apply the angle of intersecting tangents theorem:

m∠ABC = 1/2[m(AD) - m(AC)]

Substitute

4x + 15 = 1/2[(17x + 2) - (7x - 10)]

2(4x + 15) = 17x + 2 - 7x + 10

8x + 30 = 10x - 12

8x - 10x = -30 - 12

-2x = -42

x = -42/-2

x = 21

m∠ABC = (4x + 15)

Plug in the value of x

m∠ABC = 4(21) + 15 = 99°

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Answer:

3/1

Step-by-step explanation:

is the slop of this graph

Answer:

7.

area of parallelogram=base×height=19×7.8=148.2yd²

8.

area of semi circle=1/2[π(d/2)²]=

π×44²/8=760.265in²

9.

area of rectangle =length ×breadth

=16.4×11.8=193.52ft²

10.

area of triangle =1/2 ×base×height=1/2×20.4×14.6=148.92in²

Area of the given shapes are:

The area is the entire amount of space occupied by a flat (2-D) surface or an object's form. On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a form on paper is the area that it occupies.

Given, Four shapes and we need to calculate the area.

For parallelogram:

area of parallelogram = base×height

area of parallelogram = 19×7.8 = 148.2yd²

For, Semicircle:

area of semi circle= 1/2 [π(d/2)²]

area of semi circle= π×44²/8 = 760.265 in²

For Rectangle:

area of rectangle = length ×breadth

area of rectangle = 16.4×11.8 = 193.52 ft²

For triangle:

area of triangle = 1/2 ×base×height

area of triangle = 1/2×20.4×14.6 = 148.92in²

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Answer:

A.

Step-by-step explanation:

To get the answer, you will need to divide the number of bacterias that Culture A has by the number of bacterias that Culture B has.

Size=(8*104)/(4*104)

=2

So, A will be the correct answer. (I have corrected your answer's no. of bacterias that Culture B contains as 104.)

Answer:

I got great news for you! I have a wonderful grade in math...

Anyway the answer is 6,318

Step-by-step explanation:

Ok so 18x13 is 234. 234x21 is 4,914. Now we have the volume of the box (4,914).

as we know 18x13 is 234. So if we multiply 234x12 we get 2,808. So now all we have to do is divide 2,808 by 2. That gives us 1,404.

1,404+4,914=6,318

So now WALLA we have our answer.

Answer:

The radius is 20 units.

Step-by-step explanation:

(r)^2 + 21^2 = (r+9)^2

r^2 + 441 = r^2 + 18r + 81

360 - 18r = 0

360 = 18r

20 = r

Answer:

The substitution method consists of solving for in one of the equations, basically the one that is easiest, and substituting the resulting expression in the other. With this, the second equation is converted into a linear equation with one unknown, which is solved by simply solving for.

Step-by-step explanation:

l hope and this can help you

Answer:imma try to help you

Step-by-step explanation:

The function for the line can be written as F(x) = -(1/2)x - 3.

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given that line that includes the points (4,−5) and (8,−7).

The slope will be calculated as,

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Slope = ( -7 +5  ) / ( 8 - 4)

Slope = -2 / 4= -1/2

The y-intercept will be calculated as,

y = mx + c

-7 = -1/2 x 8 + c

-7 = -4 + c

c = -3

The equation can be written as,

y = mx + c

y= -1/2(x) - 3

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Answer:

F

Step-by-step explanation:

I'm guessing wjdhksdjene

Answer:

J

Step-by-step explanation:

The answer is option J

Answer:

I attached both the work and explanation down below. Hope it helps!

Answer:

-14, -4.5, -2, 0, 5.7, 6

Step-by-step explanation:

Answer:

it will take 25 months until the cost is the same.

500 / 20 = 25

Step-by-step explanation:

Answer:

The focus of the ellipse are;

(-12·√(10), -8) and (12·√(10), -8)

Step-by-step explanation:

The given equation for the ellipse is presented as follows;

[tex]\dfrac{x^2}{46} + \dfrac{(y + 8)^2}{26} = 1[/tex]

From the general equation of the ellipse, we have;

[tex]\dfrac{(x - h)^2}{a^2} + \dfrac{(y - k)^2}{b^2} = 1[/tex]

The focus of the ellipse are, (h - c₁, k) and (h + c₁, k)

By comparison, we get;

h = 0, k = -8, a = 46, b = 26

We have;

c² = a² - b²

c² = 46² - 26² = 1440

c = 12·√(10)

The focus of the ellipse are therefore;

(0 - 12·√(10), -8) = (-12·√(10), -8), and (0 + 12·√(10), -8) = (12·√(10), -8).

Answer:

29 is the correct answer. Hope you like my answer.

Answer: -5

Step-by-step explanation:so the elwvator goes down 3 floors so -3+5-7=-5 because 3-5=2 and 2-7=-5 hope this helps

Answer:

D P/B=T

Step-by-step explanation:

Answer:

16.5/100

Step-by-step explanation:

An equivalent fraction to 33/200 could be 66/400.

Answer:

Yes, it lies on the circle.

Step-by-step explanation:

The actual question is:

"Prove or disprove that the point (√51, 7) lies on the circle centered at the origin and containing the point (6, 8)."

The equation of a circle of radius R and centered at the point (a, b) is:

(x - a)^2 + (y - b)^2  = R^2

In this case we have a circle centered at the origin, then: (a, b) = (0, 0)

And the equation becomes:

(x - 0)^2 + (y  - 0)^2 = R^2

x^2 + y^2 = R^2

We also know that this circle contains the point (6, 8), then we can find the radius of our circle if we replace x by 6 and y by 8.

6^2 + 8^2 = R^2

100 = R^2

√100 = 10 = R

Then the circle equation is:

x^2 + y^2 = 10^2

Now let's see if the point (√51, 7) is a solution of the above equation:

(√51)^2 + ( 7)^2 = 10^2 = 100

51 + 49 = 100

100 = 100

This is true, so we can conclude that (√51, 7) is a solution of the circle equation, so the point lies on the defined circle.

Answer:

(-12, -12)

Step-by-step explanation:

Since the scale factor is 3, you would multiply the x-coordinate and y-coordinate by it.

-4×3=-12

Hope this helps!!

Answer: B. x = 16/3

3/5x + 1/2 = 3/4x -3/10

minus 3/4x on both sides

-3/20x + 1/2 = -3/10

minus 1/2 on both sides

-3/20x = -3/10

multiply both sides by 20/-3

x = 16/3

Answer:

B) [tex]x=\frac{16}{3}[/tex]

Step-by-step explanation:

[tex]\frac{3}{5}x+\frac{1}{2}=\frac{3}{4}x-\frac{3}{10}[/tex]

[tex]\frac{12}{20}x+\frac{10}{20}=\frac{15}{20}x-\frac{6}{20}[/tex]

[tex]\frac{10}{20}=\frac{3}{20}x-\frac{6}{20}[/tex]

[tex]\frac{16}{20}=\frac{3}{20}x[/tex]

[tex]16=3x[/tex]

[tex]\frac{16}{3}=x[/tex]

Therefore, your answer is B) [tex]x=\frac{16}{3}[/tex]

Answer:

10 sides

Step-by-step explanation:

Deca means 10 (decameter/decahedron/decagon)

Answer: 10 sides

Step-by-step explanation:

There are a list of suffixes for a "-gon"

- Pentagon=5 sides

- Hexagon=6 sides

- Heptagon=7 sides

- Octagon=8 sides

- Nonagon=9 sides

- Decagon=10 sides

- Hendecagon=11 sides

- Dodecagon=12 sides

Therefore, if the polygon is a decagon, then it has 10 sides

Hope this helps!! :)

Please let me know if you have any questions

Given:

A fourth-degree polynomial function has zeros 4​, -4, 4i ​, and -4i .

To find:

The fourth-degree polynomial  function in factored form.

Solution:

The factor for of nth degree polynomial is:

[tex]P(x)=(x-a_1)(x-a_2)...(x-a_n)[/tex]

Where, [tex]a_1,a_2,...,a_n[/tex] are n zeros of the polynomial.

It is given that a fourth-degree polynomial function has zeros 4​, -4, 4i ​, and -4i. So, the factor form of given polynomial is:

[tex]P(x)=(x-4)(x-(-4))(x-4i)(x-(-4i))[/tex]

[tex]P(x)=(x-4)(x+4)(x-4i)(x+4i)[/tex]

[tex]P(x)=(x-4)(x+4)(x^2-(4i)^2)[/tex]           [tex][\because a^2-b^2=(a-b)(a+b)][/tex]

On further simplification, we get

[tex]P(x)=(x-4)(x+4)(x^2-4^2i^2)[/tex]

[tex]P(x)=(x-4)(x+4)(x^2+16)[/tex]                [tex][\because i^2=-1][/tex]

Therefore, the required fourth degree polynomial is [tex]P(x)=(x-4)(x+4)(x^2+16)[/tex].

The fourth degree polynomial is given by f(x) = (x - 4)(x + 4)(x + 4i)(x - 4i)

Polynomial is an expression that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.

Polynomials can be classified based on degree as linear, quadratic, cubic, fourth degree.

Let f(x) represent the function with zeros 4​, -4, 4i ​, and -4i. Hence:

x = 4; x = -4; x = 4i; x = -4i

x - 4 = 0; x + 4 = 0; x - 4i = 0; x + 4i = 0

f(x) = (x - 4)(x + 4)(x + 4i)(x - 4i)

The fourth degree polynomial is given by f(x) = (x - 4)(x + 4)(x + 4i)(x - 4i)

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