1. A rectangular canvas picture measures 12 inches by 28 inches. The canvas is mounted inside a frame of uniform width, increasing the total area covered by both canvas and frame to 612 square inches. Find the uniform width of the frame.​

Answers

Answer 1

The uniform width of the frame is 16.61 inches.

Since a rectangular canvas picture measures 12 inches by 28 inches, and the canvas is mounted inside a frame of uniform width, increasing the total area covered by both canvas and frame to 612 square inches, to find the uniform width of the frame you must perform the following calculation:

√ (612 - (28 x 12)) = X √ (612 - 336) = X √276 = X 16.61 = X

Therefore, the uniform width of the frame is 16.61 inches.

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Related Questions

Washing his dad's car alone, Aidan takes 6 hours. If his dad helps him, then it takes 2 hours. How long does it take Aidan's dad to wash the car by himself?

Answers

Answer:

Step-by-step explanation:

If he washes his dads car alone it takes 6hrs, If his dad helps him it takes 2hrs.

6-2= 4

4hrs?

I dont understand the question lol.

Micah is saving to buy a new guitar and every month is putting $45 from his paycheck into his savings
account. He has already saved $120. How many more months will it take before he has enough to buy
the guitar if it costs $415?

Answers

Answer:

6.5555 months

Step-by-step explanation:

$415-$120= $295

Micah will need $295 from his paycheck earnings to be able to afford the guitar.

$295/$45= 6.5555months

please solve this problem

Answers

Answer:

sorry i am not sure

Step-by-step explanation:

sorry i am not sure

Express 8 1/5% as a mixed number or a fraction

Please show work so I can understand it so I know what to do on problems that look like this in the future

Answers

Answer:

41/5

Step-by-step explanation:

First we change the 8 and 1/5% to 8.2%

Write the fraction down as a number over one = 8.2/1

Multiply both top and bottom by 10 for every number after the decimal point:

As we have 1 numbers after the decimal point, we multiply both numerator and denominator by 10. So,

8.2/1 = (8.2 × 10)

(1 × 10) = 82/10

Reduce the above fraction by dividing both numerator and denominator by the GCD (Greatest Common Divisor) between them. In this case, GCD (82,10) = 2. So, (82÷2)/(10÷2) = 41/5 when reduced to the simplest form.

As the numerator is greater than the denominator, we have an IMPROPER fraction, so we can also express it as a MIXED NUMBER, thus 82/10 is also equal to 81/5 when expressed as a mixed number.

2/7 + 4/5 mixed forms

Answers

Answer:

38/35 or 1 3/35

Step-by-step explanation:

2/7 + 4/5 mixed forms

2/7 + 4/5 =

38/35 or 1 3/35

Answer:

38/35

Step-by-step explanation:

1. convert to like fractions

2/7-> 10/35

4/5-> 28/35

2. add fractions

10/35 + 28/35 = 38/35

 what is the geometric sequence and the 8th term and the 10th term

Answers

Answer:

The geometric sequence is decreasing by 0.5 * each term

common ratio = 0.5

an equation for this exact sequence would be

50(0.5)^x-1

Step-by-step explanation:

To find the common ratio for a geometric sequence we can divide the previous term value by the next term value

so 50 / 25 = 0.5

and to check we can divide

25 / 12.5 = 0.5

So our common ratio is 0.5

Step-by-step explanation:

Given sequence:

50, 25, 12.5, ...

The first term is 50 and the common ratio is:

r = 12.5/25 = 25/50 = 1/2

The equation:

tₙ = t₁rⁿ⁻¹tₙ = 50(1/2)ⁿ⁻¹

Find the 8th and 10th terms:

t₈ = 50(1/2)⁷ = 0.390625t₁₀ = 50(1/2)⁹ = 0.09765625

A 26 ft ladder leaning against a wall begins to slide. How fast is the top of the ladder sliding down the wall at the instant of time when the bottom of the ladder is 10 ft from the wall and sliding away from the wall at the rate of 3 ft/sec?

Answers

Answer:

The top of the ladder is sliding down at a rate of -1.25 ft/s.

Step-by-step explanation:

From the Pythagorean Theorem:

[tex]\displaystyle a^2 + b^2 = c^2[/tex]

(Where a is the height, b is the distance between the bottom of the ladder and the wall, and c is the length of the ladder itself.)

Note that the hypotenuse c is a constant value at 26 feet. Substitute:

[tex]\displaystyle a^2 + b^2 = (26\text{ ft})^2 = 676 \text{ ft}^2[/tex]

We want to determine how fast the top of the ladder is sliding down the wall at the instant of time when the bottom of the ladder is 10 feet from the wall and sliding away from the wall at the rate of 3 ft/s.

In other words, we want to find da/dt given that b = 10 ft, and db/dt = 3 ft/s.

First, we can differentiate both sides with respect to t, where a and b are both functions of t:

[tex]\displaystyle \frac{d}{dt}\left[ a^2 + b^2\right ] = \frac{d}{dt}\left [ 676 \text{ feet}^2\right ][/tex]

Implicit differentiation yields:

[tex]\displaystyle 2a \frac{da}{dt} + 2b \frac{db}{dt} = 0[/tex]

Next, since we know that b = 10 ft, we can find a:

[tex]\displaystyle \begin{aligned} a^2 + b^2 & = 676\text{ ft}^2 \\ \\ a^2 +(10 \text{ ft})^2 & = 676\text{ ft}^2 \\ \\ a & = 24\text{ ft} \end{aligned}[/tex]

Substitute and solve for da/dt:

[tex]\displaystyle \begin{aligned} 2a \frac{da}{dt} + 2b\frac{db}{dt} & = 0 \\ \\ 2(24 \text{ ft}) \frac{da}{dt} + 2(10 \text{ ft})(3 \text{ ft/s}) & = 0 \\ \\ 48 \text{ ft} \cdot \frac{da}{dt} & = -60 \text{ ft$^2$/s} \\ \\ \frac{da}{dt} & = -1.25 \text{ ft/s} \end{aligned}[/tex]

Since the ladder is sliding down the wall, da/dt is expected to be negative.

In conclusion, the top of the ladder is sliding down at a rate of -1.25 ft/s.

Find the missing dimension of the prism.​

Answers

Answer:

10

Step-by-step explanation:

To find volume you have to multiply all 3 sides 7*8*x=560 = 56*x=560 we divide it by 56 and get x=10

Kylie just accepted a job at a new company where she will make an annual salary of $43000. Kylie was told that for each year she stays with the company, she will be given a salary raise of $5000. How much would Kylie make as a salary after 6 years working for the company? What would be her salary after tt years?

Answers

Answer:5600

Step-by-step explanation:

Because I just did it

i need help with this

Answers

Answer:

I love you baby

Step-by-step explanation:

I love you baby to quit all night I love you baby

Kendrick went to the playground. He played on the swings for 30 minutes and went on the slide for 30 minutes. It was 11:15 A.M. when Kendrick left the playground. What time was it when Kendrick arrived at the playground? Include A.M. or P.M. in your answer (for example, 11:58 A.M.).

Answers

10:55 am i’m pretty sure

11,912 + 26,102 + 26,102

Answers

Answer:

it's 64,116

Step-by-step explanation:

ur welcome

the answer is 64,116

Round 1,597 to the nearest hundred

Answers

1,600


Explanation:

If you are rounding 1,597 to the nearest hundred you look at the next number and if it’s 5 or less it will be 1,500 and if it was 5 or greater it will be 1,600

Answer:

1600

Step-by-step explanation:

13. Amy will rent 10 different movies this month.
•A one-day rental fee is $1.50.
A monthly pass is $10.00. (Unlimited visits during the month)

How much money will Amy save by buying a monthly pass?

Please help I will give you brainless please

Answers

Answer:

35

Step-by-step explanation:

1.5x30=45 -

45-10= 35

month=30 days

Movie costs 1.5 for a day and it will cost 10 for a month so you have to do 1.5x30=45 then you have to subtract 10 becuses that's the monthly pay so your answer would be 35 please (give brainless)

Solve for x

(8x-29)+(3x-1)+(6x-11)=180

Answers

Answer:

x= 13

Step-by-step explanation:

can i please get branlist? if not thats okay.

X equals 13!!!! :))


Simplifying
8x + -29 + 6x + -11 + 3x + -1 = 180

Reorder the terms:
-29 + -11 + -1 + 8x + 6x + 3x = 180

Combine like terms: -29 + -11 = -40
-40 + -1 + 8x + 6x + 3x = 180

Combine like terms: -40 + -1 = -41
-41 + 8x + 6x + 3x = 180

Combine like terms: 8x + 6x = 14x
-41 + 14x + 3x = 180

Combine like terms: 14x + 3x = 17x
-41 + 17x = 180

Solving
-41 + 17x = 180

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '41' to each side of the equation.
-41 + 41 + 17x = 180 + 41

Combine like terms: -41 + 41 = 0
0 + 17x = 180 + 41
17x = 180 + 41

Combine like terms: 180 + 41 = 221
17x = 221

Divide each side by '17'.
x = 13

Simplifying
x = 13

v = u + at

Make u the subject of the formula.

Plz, Write down the answer and don’t put spaces.

Answers

Answer:

u=v-at

Step-by-step explanation:

When making something the subject of the formula, we need to get that thing on 1 side of the equation all by itself. To do this, we need to rearrange.

Because I can see that the side with my "u" has a "+at", I need to get the "+at" onto the other side of the "=", I can do this by subtracting it on both sides (because that - is the inverse of +). So I now have v-at=u. Which is the final answer.

Note: it doesn't matter which side U is on, as long as it is alone (so this equation can also be written as u=v-at.

(-6,7) (0,3)

I'm having treble finding the slop I need the sem

Answers

Did you use the formula

gradient =

[tex] \frac{y2 - y1}{x2 - x1} [/tex]

??

I'm not shear but i think that run to -6 then 3 is the correct sorry am learning it


Cheryl bought 16 pounds of apples for $12. How much did it cost per
Sund of apples?
$192
$0.75
$1.33
$28

Answers

Answer:

.75

Step-by-step explanation:

$12 / 16 = $0.75

$0.75 is your answer if you just multiply

The expression: 4xy – 2y(x + 1) can be simplified to ​

Answers

Answer:

2. 2xy-2y

Step-by-step explanation:

4xy-2y(x+1)=4xy-2xy-2y

=2xy-2y

PLEASE HELP ME ITS ALGEBRA THANK YOUUUU

Answers

Answer: 20

Step-by-step explanation:

so if you divide 40 w 8, it’ll be 5 which means that she reads 5 books in a month. divide 100 w 5 and you’ll get 20

please help on all asap, tysm <33

Answers

Answer:

1. 4.22

2. 19.415

3. nine and thirty- five

4. Three and four hundred twelve

Step-by-step explanation

Consider the transformation shown.

Use the drop-down menus to complete the sentence.

The transformation is ________________..

1a. isometric

1b. nonrigid

1c. rigid


because the______________..

2a. segment lengths are not

2b. segment lengths are

2c. angle measurements are not

2d. angle measurements


preserved

Answers

nonrigid

segment lengths are not

Answer:

1 Nonrigid

2 segment lengths are not

It costs $8.28 for an 18 ounce jar of peanut butter. How much does it cost per ounce of peanut butter?​

Answers

Answer:

8.28/18 = 0.46

46 cents

Step-by-step explanation:

Which of the following systems of inequalities would produce the region
indicated on the graph below?

Answers

Answer: Im pretty sure its B

(/ ^_^/) .....

2x+2y=16x Solve for X Solve for Y ​

Answers

Answer:

x = [tex]\frac{y}{7}[/tex], y = 7x

Step-by-step explanation:

hope this helps

what is the answer to this question (-4uv²)³​

Answers

Answer:

     [tex]-64u^{3}[/tex][tex]v^{6}[/tex]

Step-by-step explanation:

Answer:

(-64u³vto the 6th power)

Step-by-step explanation:

(4³u³v to the 6th power)

(-64u³vto the 6th power)

Please help me and can you explain step by step please

Answers

Answer:

16 robots

Step-by-step explanation:

Each worker can move 12 boxes/minute and there are 24 workers.

24 x 12 =  288

Divide the total work by 18 (since a robot can move 18 boxes/minute)

288 ÷ 18 = 16



pls help!!! i don’t know how to do this .

Answers

Answer:

-30 ,-2

5, -3

hope it will.help u

Need helpppppppppppppppppp

Answers

Answer:

46.3

Step-by-step explanation:

Mean is the average of all values. You add all the values on the table and divide them by the amount of values (here there are 10 land animals so you would divide by 10).

[tex]\frac{70+61+50+48+45+43+40+39+35+32}{10} =\frac{463}{10} = 46.3[/tex]

WILL MARK BRAINLIEST REAL ANSWERS ONLY

Mark can read 20 pages of a book in 1 hour. His school assignment is to da 260 page book. Track how many hours he has left to read. Number of Pages left hours to read. What is the unit rate? And write an equation for the line. (also please help me graph it)​

Answers

Answer:

for the table

x y

0 260

1 240

2 220

3 200

Unit Rate is -20

we know this because the question tells us, he reads 20 pages per hour

the equation would be

y = -20x + 260

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