What is a golden rectangle and give an example of a real-life situation that uses a golden rectangle?

0.18

Percentages and decimals are closely related. As a matter of fact, we don't need to use any actual math to solve this question because there is a shortcut.

Answer by Dividing

One way to solve the question is by dividing. Percentages are numbers that represent a portion of 100. So, to find the decimal form we can divide the percentage by 100.

Shortcut

While dividing by 100 can work, there is an easier way to find the decimal form. Dividing by 100 will always be equivalent to moving the decimal point 2 digits to the left.

Answer:

1/3rd a cup

Step-by-step explanation:

make me brainly

Answer:

3(5x^2+7x+2)

Step-by-step explanation:

(5x+2)(3x+3)

I use the foil method, but if you need to use a different method you can look online at how it is done, but this should give you the correct answer.

First

Outside

Inside

Last

First you multiply 5x and 3x together (the first values in each bracket), which gives you 15x squared (15x^2)

Then you multiply the 5x and 3 (the values on the "outside" of the equation --> first and last) which gives you 15x

Then you multiply the "inside" values (the ones in the middle of all the terms), which is 2 and 3x, and gives you 6x

Last you multiply the 2 values that are last in each bracket, 2 and 3, which gives you 6

So then you put then in order of the exponent

15x^2+15x+6x+6

Then you collect like terms (which means terms that have the same number of the variable) and you're left with the answer

15x^2+21x+6

Then most likely you need to further simplify and you can common factor a number out (take the highest number that evenly mutiplies into each term and divide it out of each), so that you have,

3(5x^2+7x+2)

Answer:

x = -3

y = 2

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form:

(-3,2)

Equation Form:

x = -3, y = 2

The function in vertex form is equivalent to [tex]\rm y = (x + 2/4)^2 + \frac{3}{4}[/tex].

A quadratic equation is an equation of degree 2 in other words.Quadratic equations have the form ax² + bx + c = 0 and are second-degree algebraic expressions.

The standard quadratic function with vertex (h, k) is ;

[tex]\rm y = a(x - h)^2 + k[/tex]

The general quadratic equation is found as;

[tex]\rm y = ax^2 + bx + c[/tex]

The value of h is given as;

[tex]\rm h = \frac{-b}{2a}[/tex]

For the given equation in the problem;

[tex]\rm y = x^2 + x + 1[/tex]

The value of the k is found by;

[tex]\rm y =( \frac{-1}{2}) ^2 - \frac{1}{2} + 1 \\\\ y= \frac{1}{4} - \frac{1}{2}+ 1 \\\\ y= \frac{1}{4}- \frac{2}{4}+ \frac{4}{4}\\\\ y= \frac{3}{4}[/tex]

So the vertex is at [tex]\frac{-2}{4}[/tex] and [tex]\frac{1}{4}[/tex]  then the vertex form is:

[tex]y = (x +\frac{2}{4} )^2 + \frac{3}{4}[/tex]

Hence the functions in vertex form are equivalent [tex]\rm y = (x + 2/4)^2 + \frac{3}{4}[/tex].

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Answer: OPTION 3

Step-by-step explanation:

Answer:

I'm not positive but it should be 16/625

Step-by-step explanation:

if it is brainlist would be nice

Answer:

3 faces

A cylinder has 3 faces - 2 circle ones and a rectangle (if you take the top and bottom off a tin can then cut the cylinder part on the seam and flatten it out you would get a rectangle). It has 2 edges and no vertices (no corners).

Step-by-step explanation:

[tex] \huge\fbox\blue{ANSWER} [/tex]

A cylinder has 3 faces - 2 circle ones and a rectangle

Answer:65

Step-by-step explanation:

Hi

It’s 65 bc 35+80= 115. And triangles are 180° so 115-180= 65.

Hope it helped

Answer:

65

Step-by-step explanation:

The value of 35 degrees can be translated from the opposite diagonal. Adding the 80 degrees and 35 degrees equals 115 degrees. Finally find the remainder 180-115= 65

The probability that client D will be able to live to be 59 years old is 0.4.

Youe information is incomplete. Therefore, an overview of probability will be given.

Let's assume that there is an entire population of 50 people and the number of those that lives to 59 years is 20.

Therefore, the probability that can be deduced of those that live to 59 years will be:

= 20/50 × 100

= 2/5 × 100.

= 40%

= 0.4

In conclusion, the probability is 0.4.

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Answer:

16.3 ft

Explanation:

circumference of circle = 2πr       ( r is the radius )

Here radius = 2.6 ft

Circumference:

Digram :

[tex] \setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\qbezier(2.3,0)(2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,-2.121)(0,-2.3)\qbezier(2.3,0)(2.121,-2.121)(-0,-2.3)\put(0,0){\line(1,0){2.3}}\put(0.5,0.3){\bf\large 2.6ft\ cm}\end{picture}[/tex]

[tex] \\ \\ [/tex]

Given :

[tex] \\ \\ [/tex]

To find :

[tex] \\ \\ [/tex]

Solution :-

We know :

[tex] \boxed{ \rm Circumference_{(\sf circle)} = 2\pi \: radius}[/tex]

[tex] \\ [/tex]

So:-

[tex] \dashrightarrow\sf Circumference_{(\sf circle)} = 2\pi \: radius \\ [/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow\sf Circumference_{(\sf circle)} = 2 \times \dfrac{22}{7} \times 2.6\\ [/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow\sf Circumference_{(\sf circle)} = 2 \times \dfrac{22}{7} \times \dfrac{26}{10} \\ [/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow\sf Circumference_{(\sf circle)} =\dfrac{44}{7} \times \dfrac{26}{10} \\ [/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow\sf Circumference_{(\sf circle)} =\dfrac{1144}{7 \times 10} \\ [/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow\sf Circumference_{(\sf circle)} =\dfrac{1144}{70} \\ [/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow\bf Circumference_{(\bf circle)} =16.34~ft\{approx\} \\ [/tex]

Check the picture below.

Answer:

the slope u find by looking for where the line hits an exact + and the y-int is where the line touches the y-axis

Answer:

$24.42

Step-by-step explanation:

3.14*r^2= area

3.14*1.2^2=4.52

5.40*4.52=24.42

Answer:

Step-by-step explanation:

Remark

First find the area of the circular piece of fabric. Then deal with cost per square foot.

Area of the fabric

Area =  pi * r^2

Area = 3.14 * 1.2^2

Area = 3.14 * 1.44

Area = 4.5216 square feet

Cost

1 square foot costs 5.40 dollars

4.5216 square feet costs x                   Cross multiply

x = 5.40 * 4.5216

Answerx = 24.42 dollars for the fabric bought.

For ellipses:

-First, let's use completing the square method to determine values of a(semi-major axis), b(semi-minor axis), and the coordinates of the center of the ellipse.

-The center of the ellipse is at C(5, 3), semi-major axis, a = 4, and semi-minor axis, b = 2.

-Since the major axis of the ellipse is horizontal, the distance between the center of the ellipse and the co-vertices of the ellipse is ±b.

-The coordinates of the co-vertices of the ellipse are:

For the parabola:

-We have the following data:

The parabola is opening to the left and axis symmetry along the major axis of the ellipse (axis of symmetry: y = 3):

The focus of the parabola is the center of the ellipses.

-The parabola is passing through the co-vertices of the ellipse:

-The parabola is passing through poînts (5, 5) and (5, 1)

-From the first data, we know that the value of k is equal to 3 because the axis of symmetry of the parabola is y = 3.

-From the second data, we know that the x-coordinate of the vertex is at h = 5 + a. (Note: the distance of the focus of the parabola and the vertex of the parabola is equal to ±a, since the parabola is opening the the left we use -a)

[tex]\mathsf{F=(5,3)}[/tex]

-Substitute the coordinates of the vertex of the parabola

-From the third data, we know that if the poînts lies on the parabola, the coordinates of the poînts must satisfy the equation of the parabola.

Using the point (5, 5), x = 5, y = 5:

-Another way to solve for the value of a is using the formula for the length of the latus rectum (LR = 4a). Since the length of the latus rectum is equal to the minor axis of the ellipse, we can easily solve for the value of a.

-Substitute the value of a in the equation:

(ノ‥)ノ

Answer:

D

Step-by-step explanation:

Each box represents one observation.The data table is 7 boxes by 3 boxes.    7 * 3 is 21, so the answer is D.

Hope this helps :)

Have a nice day!

Any value in the interval (-∞,-2√5] ∪[2√5,∞) will cause the quadratic equation x2+bx+5 = 0 to have two real number solutions.

Given quadratic equation is:

[tex]x^{2} +bx+5=0[/tex]

Any equation of the form [tex]ax^{2} +bx+c=0[/tex] is called a quadratic equation where a≠0.

To have two real number solutions the discriminant of a quadratic equation should be greater than or equal to zero.

[tex]D\geq 0[/tex]

[tex]b^{2} -4(1)(5)\geq 0[/tex]

[tex]b^{2}-20 \geq 0[/tex]

[tex]b^{2} -(2\sqrt{5}) ^{2}\geq 0[/tex]

[tex](b+2\sqrt{5} )(b-2\sqrt{5} )\geq 0[/tex]

b∈[tex](-\infty,-2\sqrt{5}][/tex]∪[tex][2\sqrt{5},\infty)[/tex]

Hence, any value in the interval (-∞,-2√5] ∪[2√5,∞) will cause the quadratic equation x2+bx+5 = 0 to have two real number solutions.

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two pipes= $1.20

Selling price of the first pipe = $1.20

Profit = 20%

Let’s try to find the cost price of the first pipe

CP = Selling price - Profit

CP = 1.20 - 20% of CP

CP = 1.20 - 0.20CP

CP + 0.20CP = 1.20

1.20CP = 1.20

CP = 1.20/1.20

CP = $ 1

Selling price of the Second pipe = $1.20

Loss = 20%

Let’s try to find the cost price of the second pipe

CP = Selling price + Loss

CP = 1.20 + 20% of CP

CP = 1.20 + 0.20CP

CP - 0.20CP = 1.20

0.80CP = 1.20

CP = 1.20/0.80

CP = $1.50

Therefore, total cost price of the two pipes

= $1.00 + $1.50

= $2.50

And total selling price of the two pipes

= $1.20 + $1.20

= $2.40

Loss = $2.50 – $2.40 = $0.10

Therefore, Mr. Jones loss 10 cents.

answer= option d.

Answer:

Hamilton

Hamilton

Hamilton

Circuit

Circuit

The second statement is true. It is a reduction because 0 < n < 1.

Dilation means changing the size of an object without changing its shape. The size of the object may be increased or decreased based on the scale factor.

Given: A triangle is dilated by a scale factor of n = 1/3. As n is less than 1 but greater than 0.

A dilation is a rigid transformation that forms an image that is the same shape as of the original figure but with a different size.  A dilation transforms a figure by scalar factor 'n' about the center of dilation is a fixed point in the plane which never changes.

A dilation that forms a larger image is known as enlargement.  A dilation that forms a smaller image is known as reduction.

• If n is greater than 1, then the image is an enlargement.

• If n is between 0 and 1, then the image is a reduction.

• If n is 1, the figure and then the image is exactly the same.

Hence the second statement is true. It is a reduction because 0 < n < 1.

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Answer:

high chance tat it is 405/88. mixed farction = 4 53/88

Step-by-step explanation:

Answer:

I think the answer is No

Step-by-step explanation:

It is not a function because there cannot be two points on the same x value. Hope I remembered this correctly.

Answer:

234mm

Step-by-step explanation: