. What is a Golden Rectangle? Why is it important in architecture and art? Look around you right now. Do you see anything that looks like a Golden Rectangle in your classroom?

Answer:

Half of the 10-inch quesadilla is greater than the entire 5-inch quesadilla

Step-by-step explanation:

we know that

The area of a circle is equal to

[tex]A=\pi r^2[/tex]

where

r is the radius

step 1

Find the area of the 10 inch-round quesadilla

we have

[tex]D=10\ in[/tex]

[tex]r=10/2=5\ in[/tex]

substitute

[tex]A=\pi (5)^2[/tex]

[tex]A=25\pi\ in^2[/tex]

step 2

Find the area of the 5 inch-round quesadilla

we have

[tex]D=5\ in[/tex]

[tex]r=5/2=2.5\ in[/tex]

substitute

[tex]A=\pi (2.5)^2[/tex]

[tex]A=6.25\pi\ in^2[/tex]

step 3

Which is larger, half of the 10-inch quesadilla or the entire 5-inch quesadilla?

Compare

half of the 10-inch quesadilla is equal to ----> [tex]\frac{1}{2}(25\pi)=12.5\pi\ in^2[/tex]

the entire 5-inch quesadilla ---->[tex]6.25\pi\ in^2[/tex]

therefore

Half of the 10-inch quesadilla is greater than the entire 5-inch quesadilla

Answer:

You are right! The answer is c.

Step-by-step explanation:

Hey there!

Our goal is to create the slope intercept equation for line W, which requires two things that we need to find out: the slope and the y-intercept.

We see that Line W is parallel to line V. Therefore, they have the same slope. So, the slope of Line W is 10/7.

Now, we need to find the y-intercept. To do this, we will plug the slope and the point we are given into the slope intercept equation and solve for b.

-3= 10/7(-3)+b

-3= -4 2/7+b

b=1 2/7

Now, we plug this into our final slope intercept form.

y=10/7x+1 2/7

I hope this helps! Have a great day!

Answer:

y = 4/5 x - 2

Step-by-step explanation:

Slope:

y₂ - y₁ / x₂ - x₁

6 - 2 / 10 - 5

4 / 5

y = 4/5 x + b

Solve for b by substituting one of the point's coordinate to the equation:

I'll use (5,2)

y = 4/5 x + b

(2) = 4/5 (5) + b

2 = 4 + b

2 - 4 = b

-2 = b

y = 4/5 x - 2

The probability of not drawing an I is the number of non-I letters divided by the total number of letters, which is 7/11.

The word MISSISSIPPI has a total of 11 letters, with the following distribution: 4 I's, 4 S's, 2 P's, and 1 M. To find the theoretical probability of NOT drawing an I, we need to consider all the other letters that could be drawn instead. There are 11 - 4 = 7 letters that are not Is. Therefore, the probability of not drawing an I is the number of non-I letters divided by the total number of letters, which is 7/11.

Answer:

Step-by-step explanation:

16.) 2/3

You add up the fractions and then reduce.

(5/12 + 3/12 = 8/12 = 2/3)

17.) No because if you add all the fractions together, you only get 7/8. This means the project is not complete yet.

Final answer:

The ratio of the surface areas of the two cubes with a linear scale factor of 4:1 is 16:1, because surface area is proportional to the square of the scale factor.

Explanation:

When working with scale factors in geometry, and specifically with cubes, the ratio of scale factors for linear dimensions affects the surface area and volume in specific ways. If two cubes have a scale factor of 4:1, the ratio of their surface areas is the square of the scale factor. Since the scale factor for the linear dimensions is 4, the ratio of the surface areas will be 42:12, or 16:1.

The surface area of a cube is calculated by multiplying the area of one face (length x width) by 6, as a cube has 6 faces. If one cube has a side four times as long as the other, each of its faces will be 42 times larger because area is a two-dimensional measurement. Thus, the surface area of the larger cube will be 16 times greater than that of the smaller cube, hence the ratio 16:1.

Answer:

12

Step-by-step explanation

4 designes of necklaces

in 3 different stones

4x3= 12 DIFFERENT DESIGHNES

The least amount of money Azand could have earned by selling books is $2640. This is because it would allow him to purchase an exact number of concert tickets without any money left over. Therefore, the least number of books he sold is 60.

The subject of your question is Mathematics, specifically an application of simple arithmetic and algebra within the context of real world scenarios. To find out the least amount of money Azand could have earned from selling the books and the least number of books he could have sold, we need to realize one key piece of information: the total money spent on tickets (which is also the total money earned from the books) needs to be a multiple of both $44 (the cost of a book) and $60 (the cost of a ticket).

To find the lowest common multiple you simply multiply the numbers together. This gives $2640. Therefore, the least amount of money Azand could have earned by selling the books is $2640. The least number of books he sold can be calculated by dividing the total money by the cost of each book, $2640/$44, which equals 60. So he sold at least 60 books.

#SPJ12

Answer:

Option A -280 feet

Step-by-step explanation:

Let

x ----> the lowest elevation in Long Beach, California in feet

y ----> the approximate elevation of Death Valley in feet

Remember that

An elevation below the sea level is negative and above the sea level is positive (The sea level is the level zero)

we know that

The lowest elevation in Long Beach, California, is 7 feet below sea level

so

[tex]x=-7\ ft[/tex]

The elevation  of Death Valley is about 40 times lower than the elevation of Long Beach.

so

[tex]y=40x[/tex]

substitute the value of x

[tex]y=40(-7)=-280\ ft[/tex]

therefore

The approximate elevation of Death Valley is about 280 feet below the sea level

Answer:

13

Step-by-step explanation:

If you use the square root method, p^2 becomes p and 169 becomes 13.

Answer:

13

Step-by-step explanation:

The equation is basically

And 13x13 equals 169 so its 13

Answer: Graph C

Step-by-step explanation:

Answer:

$6.03

Step-by-step explanation:

Let the amout Travis spent on pizza be reapresented as A.

Travis bought a sticker for $2.53,

Belt = $5.68

Pizza = ?

Total amount of money spent = $14.24

To get the amount spent on pizza , add up amount of everything he bought and equate them to total amount spent

That’s

$2.53 + $5.68 + A = $14.24

$8.21 + A = $14.24

Subtract $8.21 from both sides

$8.21 - $8.21 + A = $14.24 - $8.21

A = $6.03

Travis spent $6.03 on the pizza

x = 45°

Solution:

Given data:

Measure of larger arc = 152°

Measure of smaller arc = 62°

If a tangent and a secant intersect at the exterior of a circle then the measure of angle formed is one-half the positive difference of the measures of the intercepted arcs.

[tex]$\Rightarrow x = \frac{1}{2}(\text{ larger arc }- \text{smaller arc} )[/tex]

[tex]$\Rightarrow x = \frac{1}{2}(152^\circ-62^\circ)[/tex]

[tex]$\Rightarrow x = \frac{1}{2}(90^\circ)[/tex]

⇒ x = 45°

The value of x is 45°.

Answer:

45

Step-by-step explanation:

Area of the figure is 42 in²

Step-by-step explanation:

⇒ Area of the rectangle = length × width = 6 × 5 = 30 in²

⇒ Area of the triangle = 1/2 × base × height = 1/2 × 4 × 6 = 12 in²

∴ Area of the figure = 30 + 12 = 42 in²

The surface area is the area of all the faces of the solid.

So, it is composed by the two triangles (front and rear) and the two lateral rectangles.

The triangles have base 12 and height 8 (both given), so their area is

[tex]A_t=\dfrac{12\cdot 8}{2}=12\cdot 4=48[/tex]

The rectangles have base 14 and height 10 (both given), so their area is

[tex]A_r=14\cdot 10=140[/tex]

Finally, there's a base rectangle with dimensions 14 and 12, which has area

[tex]A_b = 14\cdot 12 = 168[/tex]

The surface area is made of two lateral rectangles, one base rectangle and two triangles, so it is

[tex]S=2A_r+2A_t+A_b=96+280+168=544[/tex]

Answer: 544

Step-by-step explanation:

Answer:

a b c d e f g the jgh hgghg

Step-by-step explanation:

Final answer:

Provides equations to find the area and width of a rectangular deck based on given information.

Explanation:

a. Let the width of the deck be w. The length is given as 6 feet more than 2 times the width, which translates to 2w + 6. The area of a rectangle is length multiplied by width, so for this case, the equation expressing the area in terms of the width is w(2w + 6) = 80.

b. By solving the equation w(2w + 6) = 80, we find the width of the deck to be 10 feet.

Answer:

The answer to 36 is -18

Step-by-step explanation:

x=-18 because 3×(-6)=(-6×-6) cancels

Answer:

4 packs of 5

3 packs of 2

Step-by-step explanation:

5•4=20

2•3=6

20+6=26

Let's solve this problem using a system of equations. We'll use two variables:
Let \( x \) be the number of gourmet treat packages (each with 2 treats).
Let \( y \) be the number of dental treat packages (each with 5 treats).
We have two pieces of information that will translate into equations:
1. The dog groomer buys 7 packages in total: \( x + y = 7 \)
2. The dog groomer buys 26 treats in all: \( 2x + 5y = 26 \)
Now, we have a system of two equations with two variables:
\[ \begin{align*}
x + y &= 7 \quad \text{(Equation 1)} \\
2x + 5y &= 26 \quad \text{(Equation 2)}
\end{align*} \]
We will solve this system using the substitution or elimination method. Let's use substitution in this case. We can solve Equation 1 for \( x \):
\[ x = 7 - y \]
Next, we substitute \( 7 - y \) for \( x \) in Equation 2:
\[ 2(7 - y) + 5y = 26 \]
Expanding and simplifying,
\[ 14 - 2y + 5y = 26 \]
Combine the \( y \) terms:
\[ 3y = 26 - 14 \]
\[ 3y = 12 \]
Divide both sides by 3 to solve for \( y \):
\[ y = \frac{12}{3} \]
\[ y = 4 \]
Now that we have \( y \), we can find \( x \) using \( x = 7 - y \):
\[ x = 7 - 4 \]
\[ x = 3 \]
So, the dog groomer bought 3 packages of gourmet treats and 4 packages of dental treats.
To check if the solution is correct, we can plug the values back into the original equations:
Equation 1 (number of packages)
\[ 3 + 4 = 7 \] (Correct)
Equation 2 (total number of treats)
\[ 2(3) + 5(4) = 6 + 20 = 26 \] (Correct)
The solution is correct, and the problem is solved. The dog groomer bought 3 packages of gourmet treats and 4 packages of dental treats.

Answer:

$2.5

Step-by-step explanation:

The amount saved is 10% of $25

That’s

10% /100% x $25

0.1 x $25

$2.5

Amount saved is $2.5

Answer:

5.14

Step-by-step explanation:

[tex]3.7\times2.7[/tex]

Multiply the second numbers in both decimals to each other:

[tex].7\times.7=.14[/tex]

Now multiply the first numbers to each other:

[tex]3\times2=5[/tex]

[tex]=5.14[/tex]

Answer:

The expression showing how many more meters Mathieu ran than Edgar ran during that time is  [tex]t(m-e)[/tex].

Step-by-step explanation:

Edgar ran 'e' meters per second, and Mathieu ran 'm' meters per second. The boys ran for 't' seconds.

The expression [tex]t(m-e)[/tex] describes how many more meters Mathieu ran than Edgar ran during that time.

We can also use the expression [tex]tm-te[/tex] represent the same quantity.

We know that,

[tex]\text{Distance} =\text{Speed}\times \text{Time}[/tex]

Distance covered by Edgar = te

Distance covered by Mathieu = tm

Difference in distance [tex]d= tm - te=t(m-e)[/tex]

The expression showing how many more meters Mathieu ran than Edgar ran during that time is  [tex]t(m-e)[/tex].

Step-by-step explanation:

Let the required number be x.

Therefore, according to the given condition:

[tex] {x}^{2} - 10 = 3x \\ \therefore \: {x}^{2} - 3x - 10 = 0 \\ \therefore \: {x}^{2} - 5x + 2x - 10 = 0 \\ \therefore \: x(x - 5) + 2(x - 5) = 0 \\ \therefore \: (x - 5)(x + 2) = 0 \\ \therefore \: x - 5 = 0 \: \: or \: \: x + 2 = 0 \\ \therefore \: x = 5 \: \: or \: \: x = - 2 \\ [/tex]

Therefore, x = - 2 is the negative solution.

Good morning ☕️

Answer:

Step-by-step explanation:

First ,we need to model the situation by expressing it as an equation

so, let x represent the uncknown negative number :

We get

x² - 10 = 3x

then

x² - 3x - 10 = 0

now using the quadratic formula:

Let Δ be the discriminant

Δ = b² - 4ac = (-3)² - 4(1)(-10) = 9 + 40 = 49 → √∆ = 7

Therefore

[tex]x = \frac{3+7}{2}=5 \\or\\x= \frac{3-7}{2}=-2[/tex]

_______________________________________

:)

Answer:

1056.25 pi

Step-by-step explanation:

f the circumference of the circle is 65\pi, then the diameter is 65. If the diameter is 65, the radius is \frac{1}{2} * 65, and then you would do 32.5^2 * \pi, which would equal

Answer:

A =1056.25 pi

Step-by-step explanation:

The circumference is given by

C = 2*pi*r

65 pi = 2*pi*r

Divide each side by 2 pi

65 pi /2 pi = 2*pi*r/2pi

32.5 = r

To find the area

A = pi * r^2

A = pi *(32.5)^2

A =1056.25 pi

Answer: y = 3/2x+4 if you need to write it in slope intercept form and please give brainliest i will appreciate it.

Step-by-step explanation:

Question 5

y = - 3x

Question 6

[tex]y = \frac{50}{x} \\ [/tex]

Answer:

X would have to equal 6. To work it out, you subtract 4 from each side to cancel out the 4. -x = -6. You have to make -x just x so you × each side by -1. You get x = 6.

Step-by-step explanation:

[tex]4 - x = - 2 \\ - x = - 2 - 4 \\ - x = - 6 \\ x = 6 [/tex]

Answer:

The answer is 25

Step-by-step explanation:

you move the decimal back one place.

Answer:

187.2

Step-by-step explanation:

just multiply everything

Solution:

Given that,

Amanda answered all the questions on her math test but got 10 answers wrong

She received 4 points for every correct answer, and there were no points for wrong answers

Find the number of questions answered correctly:

Her final score was 76 points

4 points for every correct answer

Thus,

[tex]correct\ answers = \frac{76}{4} = 19[/tex]

From given.

Incorrect answers = 10

Let "x" be the total number of questions on his math test

Then,

x = correct answered questions + incorrect answered questions

x = 19 + 10

x = 29

Thus there are 29 total number of questions on his math test

Amanda's test had 29 questions in total.

Amanda answered all the questions on her math test but got 10 answers wrong. She received 4 points for every correct answer, with no points for wrong answers, and her final score was 76 points.

Step-by-Step Solution

1. Let q represent the total number of questions on the test.

2. The number of correct answers Amanda got is (q - 10).

3. Amanda's score for correct answers can be represented as 4 × (q - 10).

4. According to the problem, her score was 76 points, so we can set up the equation: 4 × (q - 10) = 76.

5. Simplify and solve for q:
4q - 40 = 76
4q = 116
q = 29

Therefore, the total number of questions on Amanda's math test is 29.