2.
Keira has a square poster that she is framing and
placing on her wall. The poster has a diagonal 58
cm long and fits exactly inside the frame. The
width of the frame around the picture is 4 cm.
58 cm
4 cm
Determine and state the total area of the poster and
frame to the nearest tenth of a square centimeter.

Answers

Answer 1

So the total area of the poster and frame is approximately 2,293.61 square centimeters to the nearest tenth of a square centimeter.

What is area?

In mathematics, area refers to the measure of the amount of surface that a two-dimensional shape or object occupies. It is a fundamental concept in geometry and is usually expressed in square units, such as square centimeters (cm²), square meters (m²), square inches (in²), etc. The area of a simple shape, such as a rectangle, triangle, or circle, can be calculated using specific formulas. For example, the area of a rectangle is given by the product of its length and width, and the area of a triangle is given by half the product of its base and height. The area of a circle is given by the formula πr², where r is the radius of the circle. The area of a complex shape can be calculated by dividing it into smaller, simpler shapes and adding up their areas. For example, the area of an irregular polygon can be calculated by dividing it into triangles and then summing the areas of those triangles. Area is used in various fields of study, such as mathematics, physics, engineering, and architecture, to determine the amount of material needed to construct objects, calculate volumes and rates, and measure physical properties of objects.

Here,

Let x be the length of one side of the square poster. Then, using the Pythagorean theorem, we can write:

x² + x² = 58²

Simplifying this equation, we get:

2x² = 58²

x² = 58²/2

x = √(58²/2)

≈ 41.1 cm

The total width of the poster and frame is x + 2(4) = x + 8 cm. Therefore, the total area of the poster and frame is:

A = (x + 8)²

Substituting x ≈ 41.1 cm, we get:

A ≈ (41.1 + 8)²

≈ 2,293.61 cm²

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Related Questions

Four brothers each bough two hot dogs and a bag of chips at the football concession stand if the bag of chips was $1.25 and the total was $18.20 what was the price of one hot dog

Answers

Answer:

$1.65

Step-by-step explanation:

1.25 x 4 = 5.00

18.20 - 5.00 = 13.20

13.20 / 8 = 1.65

they bought 8 hotdogs because there is 4 brothers and each ate 2 so 4 x 2 = 8

If f (x) = 2x^3 - 5x +2, then what is the remainder when f (x) is divided by x - 4?

Answers

hmm let's do that with synthetic division, Check the picture below.

If f (x) = 2x^3 - 5x +2, then what is the remainder when f (x) is divided by x - 4?

Find 4 + 20, if ü -< -3, -7> and =< 4, -2 >
<-4,-32 >
<7,-3>
<-8, -30
< 5, -11 >
2 0 0 0

Answers

Given statement solution is :- The Vector Calculations and Addition results are as follows:

ü -< -3, -7 > = < -3, -7 >

=< 4, -2 > - < -4, -32 > = < 0, -34 >

< 7, -3 > - < -8, -30 > = < 15, 27 >

< 5, -11 > + < 2, 0, 0, 0 > = < 7, -11, 0, 0 >

And 4 + 20 = 24.

To find the sum of 4 + 20, we simply add the two numbers together:

4 + 20 = 24

As for the given vectors, let's perform the requested calculations:

ü -< -3, -7 > = < -3, -7 >

=< 4, -2 > - < -4, -32 > = < 4 + (-4), -2 + (-32) > = < 0, -34 >

< 7, -3 > - < -8, -30 > = < 7 - (-8), -3 - (-30) > = < 15, 27 >

< 5, -11 > + < 2, 0, 0, 0 > = < 5 + 2, -11 + 0, 0 + 0, 0 + 0 > = < 7, -11, 0, 0 >

Therefore, the Vector Calculations and Addition results are as follows:

ü -< -3, -7 > = < -3, -7 >

=< 4, -2 > - < -4, -32 > = < 0, -34 >

< 7, -3 > - < -8, -30 > = < 15, 27 >

< 5, -11 > + < 2, 0, 0, 0 > = < 7, -11, 0, 0 >

And 4 + 20 = 24.

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Really need help quick

Answers

Answer:

Total Number of times Spun = 1200

Key sentence: "Pr(Red) is same as Pr(Yellow).

Pr(Green)= 0.2

0.2 = x/1200

x= 0.2 x 1200

x = 240.

It landed on green 240 times

Pr(Brown) =0.54

0.54 = y/1200

y= 1200 x 0.54

y= 648.

Now

To get the Number of times it landed on Red and Yellow

You simply subtract that of Green and Brown from 1200 and divide this result by 2(Since Red and Yellow are have equal occurrence).

1200 – (648 + 240)

= 312.

312/2 = 156.

So It landed on Red and Yellow 156 times each.

Step-by-step explanation:

Red ----- 156times

Green -----240times

Brown ----- 648times

Yellow -----156times

!!HELP MEEE!!!
What is the length of PQ?

14 units
17 units
27 units
34 units

Answers

The length of the line segment AB is 5 units.

Unfortunately, you haven't provided any information about PQ such as its location or any other data to help solve the question.

Therefore, it's impossible to determine the length of PQ using the given options. However, here is an explanation of how to find the length of a line segment using the distance formula, which may help you in solving similar questions in the future.

The distance formula is used to find the distance between two points in a coordinate plane, such as the length of a line segment. The formula is:

d = √((x₂ - x₁)² + (y₂ - y₁)²)

where d is the distance, (x₁, y₁) and (x₂, y₂) are the coordinates of the two points.

To use the distance formula, you first need to find the coordinates of the two points that make up the line segment. Then, substitute these coordinates into the formula and simplify to find the distance.

For example, let's say you have two points: A(1, 2) and B(4, 6), and you want to find the length of the line segment AB. Using the distance formula:

d = √((4 - 1)² + (6 - 2)²)
d = √(3² + 4²)
d = √(9 + 16)
d = √25
d = 5

Remember, the distance formula can be applied to any two points in a coordinate plane to find the distance between them.

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The area, in square units, of a rectangle is represented by the expression (x-4) (x+4) Which expression represents an equivalent area, in square units?

x^2-4

(x-8) (x+8)

(x-16) (x+16)

x^2-16

Answers

Answer:

x^2-16

Step-by-step explanation:

Foil Method

(x*x+4x-4x-16)

x^2-16

A real number between the square root of 13 and 14.

Answers

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

A real number between the square root of 13 and 14.

Submit your answers to the following questions. Be sure to explain your reasoning for each; it is helpful to draw this out to get started to see any quantitative patterns that develop.

If you write the counting numbers in rows of 7 numbers each, like shown below (but you keep going), where all the number line up in seven vertical columns as you go. (Note in the example below, the number 13 is in the 2nd row and the 6th column.)
1 2 3 4 5 6 7
8 9 10 11 12 13 14
15 16 17 18 19 20 21
In which column would the number 100 land?
In which row?
Now write the counting numbers in rows of 6 numbers each. What’s the location of 100 in this array?
Write arrays with other length rows. Find a way to predict in which row and column 100 will land for any array of numbers.

Answers

The number 100 would land in column 2

The number 100 would land in row 14The location of 100 in rows of 6 numbers is row 16 and column 3The location of 100 in rows of n numbers is row q and column rIn which column would the number 100 land?

Given that we have the array of numbers

The length of each row in the array is 7

Dividing 100 by 7, we have

100/7 = 14 Remainder 2

This means that

Column = 2

In which row would the number 100 land?

In (a), we have

100/7 = 14 Remainder 2

This means that

Row = 14

The location of 100 in rows of 6 numbers

Here, we have

The length of each row in the array is 6

Dividing 100 by 6, we have

100/6 = 16 Remainder 3

So, the location of 100 in rows of 6 numbers is row 16 and column 3

Predicting the row and column 100 will land

Let the length of each row in the array be n

Dividing 100 by n, we have

100/n = q Remainder r

This means that the location of 100 in rows of n numbers is row q and column r

Answers

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

Answer: $7.21$

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

Given: $\textsf{(2, -3) and (-4, -7)}$

Find: $\textsf{Find the distance between the two points}$

Solution: Use the distance formula and the two points that were provided to determine the distance.

Plug in the values

$d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$$d = \sqrt{(-4-2)^2+(-7-(-3))^2}$

Simplify and expand

$d = \sqrt{(-6)^2+(-7+3))^2}$$d = \sqrt{(-6)^2+(-4))^2}$$d = \sqrt{36+14}$$d = \sqrt{52}$

If we are using square root we use the square root of 52 but if we simplify it to a decimal point we would use 7.21

What is the answer ?

Answers

B is the wright answer

my cashapp is $alanajackson

Answers

Answer:

uhh okay what's the question

Steven graduated from college with $22,500 in student loans and is looking to refinance. The current interest rate is 5% and he is debating between a 10 year loan or a 20 year loan. Loan A (10 years) results in monthly payments of $238.65. Loan B (20 years) results in monthly payments of $148.49. What would be his total payback amount for each loan?

Answers

Answer:

For Loan A, his total payback amount would be $28,638. In turn, for Loan B his total payback amount would be $35,637.60.

Step-by-step explanation:

For the 10-year Loan A, with monthly payments of $ 238.65, the total value of the payback is determined by calculating the monthly amount for the number of months that are 10 years old, that is: 238.65 x 10 x 12, the result of which is $ 28,638.

On the other hand, for the 20-year Loan B, with monthly payments of $ 148.49, the total value of the payback is determined by calculating the monthly amount for the number of months that are 20 years old, that is: 148.49 x 20 x 12, the result of which is $ 35,637.60.

Answer:

Loan B will have the lowest total payback because the total of the principal and the interest paid for loan B is less than the same total for loan A.

Step-by-step explanation:

Just plz trust me

what is 2.6 / 13 7.8 ?

Answers

Answer:

1.56

Step-by-step explanation:

If you were trying to make your equation look like (2.6/13)7.8 , then the answer would be 1.56.

2.6 * 7.8 = 20.28

20.28 / 13 = 1.56

If you were trying to make you equation look like 2.6/137.8 , then the answer would be 0.01886792452

Use a net to find the surface area of the prism

Answers

The surface area of the given rectangular prism is 406 $in^2$.

Rectangular Prism:

A rectangular prism is a six-faced, solid, three-dimensional object with rectangular bases. A rectangular prism also relates to a cuboid. A cuboid and a rectangular prism possess the same cross-section.

What is Surface Area ?

The amount of space surrounding a three-dimensional shape's exterior is its surface area.

In the given question,

Let

length = 14 in

width = 5 in

height = 7 in

Then,

The surface area is given by

SA = 2 ( lw+wh+lh) where l is length h is height and w is width

SA = 2(14*5 + 5*7+ 7*14)

= 2(70+35+98)

= 2(203)

= 406 $in^2$

Hence , surface area of the given prism is 406 $in^2$.

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Please look at the photo. Thank you!

Answers

The value of f(5) is positive

At f(x) = 0, the value of x is 1

For the interval f(x) ≤ 0, the values of x are [-2, 1]

How to determine the values of the function

From the question, we have the following parameters that can be used in our computation:

The graph

On the graph, we have

f(5) = 1

This means that f(5) is positive

Also, we have

When f(x) = 0, the value of x is 1

For the interval f(x) ≤ 0, we have the values of x to be

-2 ≤ x ≤ 1

When represented as an interval, we have

[-2, 1]

Answers

The value of n of the equation of line is n = 5.25

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the first point be P ( 3 , 0 )

Let the second point be Q ( 4 , -2 )

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 0 + 2 ) / ( 3 - 4 )

m = -2

And , equation of line is y - y₁ = m ( x - x₁ )

Now , when y = -3

The value of the corresponding x value is closer between 4 and 6

x = 5.25

Hence , the equation of line is solved and x = 5.25

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Brian has a huge barn, 32 chickens, 12 pigs, 8 horses, 6 cows, 16 ducks, and 10
goat

Answers

Answer:

what's the question

Step-by-step explanation:

Answer: So he has 84 animals was there a question to this or is Brian flexing his barn?

Step-by-step explanation:

What substitution should be used to rewrite x ^ 8 - 3x ^ 4 + 2 = 0 as a quadratic equation?

Answers

Answer:

Let m= x^4

m^2 -3m +2 = 0

Step-by-step explanation:

x ^ 8 - 3x ^ 4 + 2 = 0

Let m= x^4

m^2 -3m +2 = 0

From the top of the 140-foot high tower, an air traffic controller observes an airplane on the runway at an angle of depression of 18°.
18°
140 ft
How far is it from the base of the tower to the airplane? Round your answer to the nearest tenth of a foot.

Answers

Answer:

Step-by-step explanation:

The angle of depression is the downward angle the air traffic controller

looks down from in the tower. It also equals the angle of elevation which is the angle formed by the runway and the line of sight.

With this information you can find the remaining angle:

180 - (90 + 18)

180 - 108 = 72

Let Angle B = 72°

Angle A = 18°

Angle C =90°

We have one side - 140 feet - this is side a - it is across from angle A.

There is a right triangle formed by the runway (side b) the tower, side a, and the line of sight (side c)

Using the law of sines:

sin A/a = sinB/b

sin 18°/a = sin72°/b

.3090/140 = .9510/x

cross multiply and then divide

140 × .9510/.3090

133.14/.3090

430.873 ft

round to a tenth = 430.9 ft

Cost of Freon Automobiles built before 1993 use Freon in their air
conditioners. The federal government now prohibits the manufacture of
Freon. Because the supply of Freon is decreasing, the price per pound is
increasing exponentially. Current estimates put the formula for the price per
pound of Freon at p(t) = 17.6(1.25)', where t is the number of years since
2000. Find the price of Freon in 2000 and 2010. How much will Freon cost in
the
year 2025?

Answers

9514 1404 393

Answer:

2000: 17.60 per pound2010: 163.91 per pound2025: 4,658.68 per pound

Step-by-step explanation:

We assume your formula is intended to be ...

p(t) = 17.6(1.25^t)

For t=0, ...

p(0) = 17.6

For t=10, ...

p(10) = 17.6·1.25^10 ≈ 163.91

For t=25, ...

p(25) = 17.6·1.25^25 ≈ 4,658.68

1. What would the slope of a line that is parallel to the line in the graph be?
(4,3)
X

Answers

keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the line above, since a parallel line will have the same slope anyway

$(\stackrel{x_1}{4}~,~\stackrel{y_1}{3})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{-1}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-1}-\stackrel{y1}{3}}}{\underset{run} {\underset{x_2}{1}-\underset{x_1}{4}}} \implies \cfrac{ -4 }{ -3 } \implies {\Large \begin{array}{llll} \cfrac{ 4 }{ 3 } \end{array}}$

Sylvie made the solid figures shown using unit cubes.
Which statement about these models is true?

A.The volume of Model A is 10 cubic units less than the volume of Model B.

B.The volume of Model B is 4 cubic units greater than the volume of Model A.

C.The volume of Model A and Model B combined is 54 cubic units.

D.Model A and Model B have the same volume.

Answers

Answer:

The answer is B.

"The volume of Model B is 4 cubic units greater than the volume of Model A."

Step-by-step explanation:

I just took the test and it's correct, I am sorry if it's not correct but I'm 99.9% sure it is accurate

What is the hourly difference in median income for a male versus female with an associate’s degree, occupational program?

Consumers math B

Answers

Answer:

median income for the man with advanced degree

Step-by-step explanation:

What is the hourly difference in median income for a male versus female with an associate’s degree, occupational program?

Person 1, person 2, and person 3 paid a total of $120 for lunch. They split the money respectively using the ratio 1:2:3. How much more did person 3 pay than person 2?

Answers

Person 3's payment exceeded person 2's payment by $20.

To find out how much more person 3 paid than person 2, we need to calculate the amounts each person paid based on the given ratio and then compare their payments.

The ratio given is 1:2:3, which means that person 1 gets 1 part, person 2 gets 2 parts, and person 3 gets 3 parts of the total amount.

Step 1: Calculate the total number of parts in the ratio.

1 + 2 + 3 = 6

Step 2: Determine the value of one part.

$120 (total amount) divided by 6 (total number of parts) = $20

Step 3: Calculate the payments for each person based on the ratio.

Person 1: 1 part * $20 = $20

Person 2: 2 parts * $20 = $40

Person 3: 3 parts * $20 = $60

Therefore, person 3 paid $60, while person 2 paid $40. To find out how much more person 3 paid than person 2, we subtract the amount person 2 paid from the amount person 3 paid:

$60 - $40 = $20

Hence, person 3 paid $20 more than person 2.

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please hellllp!Thank you so much.

(see the picture)

Answers

Answer:

147.33

Step-by-step explanation:

mupitply 26*17 and then dived my 3

2x² +6 = 8x
what are the values of x here?

Answers

x1 = 1
x2 = 3
Hopefully this helped!

Answer:

x = 1 and x = 3

Step-by-step explanation:

Move 8x over to get the equation 2x² - 8x +6 = 0

Then factor to get (2x - 2)(x - 3)

Set both factors equal to zero and solve

2x - 2 = 0

2x = 2

x = 1

x - 3 = 0

x = 3

Help me out please please

Answers

Answer:

490000

Step-by-step explanation:

Substituting $x=40$,

$I=-425(40)^2 + 45500(40) - 650000=490000$

State whether the following angle measures can form a triangle.
A) 90, 90, 35
B) 60, 27, 93
(PLEASE HELP)
(If you could also please help me with question 4 as well I will give you brainliest)

Answers

Answer:

3.b because 60,27,93

Step-by-step explanation:

can you brainliest me

Answer:

3.b

2.155/⅘

Step-by-step explanation:

hope it's helpful

a. Jacob is the most popular name among the 2,086,814 males born in 2000. The Jacobs make up 1.6516% of all males born that year. How many Jacobs were born in 2000?

Answers

Answer:

34,466

Step-by-step explanation:

Given:

Number of males born in 2000 = 2,086,814

Percentage of males bearing Jacob of all males born in 2000 = 1.6516%

Required:

Number of Jacobs born in 2000

Solution:

Number of Jacobs born in 2000 = 1.6516% of number of males born in 2000.

$ = \frac{1.6516}{100}*2,086,814 $

$ = 0.016516*2,086,814 = 34,465.82 $

Number of Jacobs born in 2000 is approximately 34,466.

Elana has a square piece of wood with an area of 69 square inches. How long should each side be by rounding to the nearest 10th of an inch?

Answers

You need to find the root of 69 since the length and width are multiplied to get the area, so it would be 8.3 inches.

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Determine if the lines are parallel, perpendicular, or neither.y=-2x 42x + y = 5 Please help me with this Use el imperfecto calcium is one of the electrolytes important in muscle contraction. large amounts of calcium must be available inside the cell to promote the development of tension in muscle cells. what must happen to intracellular calcium levels for this to occur? Who becomes the most powerful man in Japan? How? The time period of his rule is known as? what is the change from 3 to -8? In an arithmetic sequence, if the 4th term is 3 and the 22nd term is 15, then what is the 1st term?2/31-3-4/3None of the above 18.What type of figurative language is being used in the following sentence? These cookies are garbage! a. simile b. metaphor c. hyperbole d. personification Calculate the percentage by mass of oxygen in ammonium nitrate (NH4NO3).Relative atomic masses (Ar): H= 1 N = 14 O=16Relative formula mass (Mr): NH4NO3 = 80 Which expression is equivalent to 2.3 x 2.3 x 2.3 x 2.3 x 2.3? It is of the utmost importance for a lawyer to be prepared for a trial. One of your matters, namely a claim for damages, is set down for trial. You are the defence attorney. Describe the steps you will take to prepare for trial to place all available evidence before court. Refer to and explain the types of evidence that you will use in your preparation for the trial and also why this evidence is important. The radius of a sphere is 3 inches. Which represents the volume of the sphere?12 cubic inches36 cubic inches64 cubic inches81 cubic inches you are working deliveries and checking in a cii order. before you sign for the order, what must you day Is the solution to -2.7 + x = -3.5 positive or negativeExplain how you know. I dont understand I need help When microsoft creates an advertisement that promotes microsoft as a whole, it is using? which business is cyclical? qid: 3571017 mark for review a appliance manufacturer b packaged food c pharmaceuticals d utilities which of the following is not a form of kinetic energy? a. chemival energy, b. electrical energy, c. light energy, d. mechanical energy After preparing and posting the closing entries for revenues and expenses, the income summary account has a debit balance of $23,000. The entry to close the income summary account will be: Debit Owner Withdrawals $23,000; credit Income Summary $23,000. Debit Income Summary $23,000; credit Owner Withdrawals $23,000. Debit Income Summary $23,000; credit Owner Capital $23,000. Debit Owner Capital $23,000; credit Income Summary $23,000. Credit Owner Capital $23,000; debit Owner Withdrawals $23,000 g assume that the annual u.s. interest rate is currently 9 percent and germany's annual interest rate is currently 8 percent. the euro's one-year forward rate currently exhibits a premium of 2 percent. does interest rate parity exist? yes, interest rate parity exists. no, interest rate parity does not exist.can a u.s. firm benefit from investing funds in germany using covered interest arbitrage? no, because of interest rate parity. no, because the u.s. interest rate is higher than the german interest rate. yes, because even though it would earn 1 percent less interest over the year by investing in euros, it would be able to sell euro for 2 percent more than it paid for them.can a german subsidiary of a u.s. firm benefit by investing funds in the united states through covered interest arbitrage? no, because of interest rate parity. no, because the premium on a forward sale exceeds the interest rate advantage of investing in the u.s. yes, because the german interest rate is lower than the u.s. interest rate. a diner is deciding whether to use its own ingredients to prepare meals or purchase frozen prepared items from a supplier. this is an example of a (n) .