A rectangle is drawn so the width is 7 inches longer than the height. If the rectangles diagonal measurement is 44 inches, find the height

Answers

Answer 1

Answer:

h = 27.4 in

Step-by-step explanation:

Height = h

Width = h + 7

Diagonal = 44

These 3 form a right-angle triangle, we can therefore use pythagoras theorem to formulate a solveable equation to find h:

h² + (h + 7)² = (44)²

h² + h² + 14h + 49 = 1936

2h² + 14h - 1887 = 0

[tex]2(h^{2} + 7h -\frac{1887}{2}) = 0 \\\\ 2((h + \frac{7}{2})^{2}-\frac{49}{4} -\frac{1887}{2}) = 0 \\\\ 2((h + \frac{7}{2})^{2}-\frac{3823}{4}) = 0 \\\\ 2(h + \frac{7}{2})^{2} - \frac{3823}{2} = 0 \\\\ (h + \frac{7}{2})^{2} = \frac{3823}{4} \\\\ h + \frac{7}{2} = \frac{+}{}\frac{\sqrt{3823}}{2} \\\\ h = -\frac{7}{2} \frac{+}{} \frac{\sqrt{3823}}{2} \\\\ h = 27.4152... \ or \ h = -34.4152...[/tex]

The height cannot be a negative value ∴ the height we are looking for is the other.

h = 27.4 in


Related Questions

Plz help I need help

Answers

Answer:

c

Step-by-step explanation:

the equation is basiclly:

3*1/5x-3*1/7

3/5x-3/7

Answer:

[tex]\frac{3}{5} x-\frac{3}{7}[/tex]

Step-by-step explanation:

[tex]3(\frac{1}{5}x- \frac{1}{7} )[/tex]

[tex]\frac{3}{5} x-\frac{3}{7}[/tex]

1.What is the factored form of ײ–6×+8?
A.(×–2 ) (×+4)
B.(×–8) (×+1)
C.(×–2) (×–4)
D.(×–8) (×–1
2.what is the factored form of ײ–49?
A.(×–7) (×+7)
B.(×–49) (×+49)
C.(×–7) (×–7)
D.(×–49) (×–49)
3.factor the following expression:ײ+8×+12?
A.(×–6) (×–2)
B.(×+6) (×+2)
C.(×+4) (×–3)
D.(×–4) (×–3)

Answers

#1

Option C

[tex]\\ \sf\longmapsto (x-2)(x-4)[/tex]

[tex]\\ \sf\longmapsto x(x-4)-2(x-4)[/tex]

[tex]\\ \sf\longmapsto x^2-4x-2x+8[tex]

[tex]\\ \sf\longmapsto x^2-6x+8[/tex]

#2

Option A

[tex]\\ \sf\longmapsto (x-7)(x+7)[/tex]

[tex]\\ \sf\longmapsto x^2-7^2[/tex]

[tex]\\ \sf\longmapsto x^2-49[/tex]

#3

Option A

[tex]\\ \sf\longmapsto (x-6)(x-2)[/tex]

[tex]\\ \sf\longmapsto x^2+6x+2x+12[/tex]

[tex]\\ \sf\longmapsto x^2+8x+12[/tex]

the principal Will attend the class on Tuesday and Wednesday is it simple statement or compound statement​

Answers

Answer:

compound

Step-by-step explanation:

because it has and

The given statement is a compound statement.

A simple statement is one that does not contain another statement as a component.

A compound statement contains at least one simple statement as a component, along with a logical operator, or connectives.

Given statement is,

    The principal will attend the class on Tuesday and Wednesday

In above statement and is connective word.

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Solve 9x + 3y = 15 for y.

A. y=-3x + 15
B. y = 9x + 15
C. y = -9x + 5
D. y=-3x + 5

Answers

Answer: D) y = -3x + 5

Step-by-step explanation:

Move x.

3y = -9x + 15

Divide by 3.

y = -3x + 5

Hope it helps :) and let me know if you want me to elaborate.

Answer:

D. y = -3x + 5

Step-by-step explanation:

Subtract 9x from both sides

3y = 15 - 9x

y = 15/3 - 9x/3

y = 5 - 3x

y = -3x + 5

A carpenter can make at most 20 tables and at most 30 chairs per day. Each table requires 3 hours of labour and each chair requires 2 hours of labour. The maximum total hours disposal is 96 . (A) give 3 inequalities that express the condition about. (B) graph and shade the common region that satisfy these. (C) find the maximum number of chairs and table does the carpenter can make.​

Answers

c) find the maximum number of chairs and table does the carpenter can make

i need help here plz
NO LINKS!!!!!!!!!!!
Give honest answer!!

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Radius of sphere is ~

[tex] \dfrac{4.4}{2} [/tex]

[tex]2.2 \: \: cm[/tex]

Now, let's find the volume ~

[tex] \dfrac{4}{3} \pi {r}^{3} [/tex]

[tex] \dfrac{4}{3} \times 3.14 \times 2.2 \times 2.2 \times 2.2[/tex]

[tex] \dfrac{133.73888}{3} [/tex]

[tex]44.5796[/tex]

[tex] \approx44.6 \: \: {cm}^{3} [/tex]

Answer:  I think its answer d) -not really sure

step-by-step explanation:  4.4  -move decimal one time to the right, the thenths place is the 4 and because its a low number it wont increse..

On a given blueprint, 1 in. = 16 ft. If the dimensions of the bedroom on the blueprint are 0.75 inches × 1.5 inches, what are its actual measurements?

Answers

Answer:

288ft

Step-by-step explanation:

1inche=16ft

0.75inches=0.75×16=12ft

1.5inches=1.5×16=24ft

so: 12ft×24ft=288ft

need help on this plz and thank you

Answers

Answer:

Yes

Step-by-step explanation:

Yes, it's a function.

If It have one more y to the same x, it's not a function.

I hope I've helped you.

5p+6>41

SHOW WORK.

giving brainiest

Answers

Answer:

P>7

Step-by-step explanation:

1)     Subtract 6 from both sides.

5p>41-6

2)    Simplify  41-6 to 35.

5p>35

3)    Divide both sides by 5.

p>35/5

4)    Simplify 35/5 to 7.

p>7

Which expression gives the best estimate of 45 percent of 76?

Answers

Answer:

[tex]34\frac{1}{5}[/tex]

Step-by-step explanation:

[tex]\frac{45}{100}*76[/tex]

[tex]\frac{171}{5} = 34\frac{1}{5}[/tex]

Answer:

Step-by-step explanation:

babababa

Help help help help help help help help help help

Answers

Answer:

A (7,7)

B (10,4)

C (6,5)

Step-by-step explanation:

The translation rule shows that you have to move the coordinates 9 units right on the x axis, and 3 units up on the y axis.

A.
x f(x)
0 1
2 3
3 4
4 5
5 6
6 7

B.
x f(x)
-3 9
-2 4
-1 1
0 0
1 1
2 4

C.
x f(x)
0 3
2 3
3 3
4 3
5 3
6 3

D.
x f(x)
0 -1
2 3
0 4
2 5
0 6
2 7

Which table does NOT represent a function?

A)A
B)B
C)C
D)D

Answers

Answer:

xf xf f1x2 x f, y. x y = 2x + 3,. 10, 32. for x = 0, y = 2x + 3 = 2 #0 + 3 = 3; and so on.

Step-by-step explanation:

Solve the system of linear equations by graphing. y=-2x^2-x+3. y=-x-5

Answers

keeping in mind that solutions to a system of equations is where the graphs intersect or meet, Check the picture below.

Make the ratios equal. 9:25 = 36:?

Answers

The equivalent ratio of 9:25 is 36:100.

Ratio expresses the degree of proportionality between two or more numbers. It expresses the number of times one number is contained in another number.  

In order to make the ratios equal, the relationship that exists between 9 and 36 has to be determined. 36 is a multiple of 9. It is 9 multiplied by 4. So, in order to make the ratios equal, multiply, 25 by 4.

25 x 4 = 100

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4
The ordered pair (6, 4) is a solution of the linear equation 2x + ky = 8. What is the value of k?
-8
B
-1
What is the Answer

Answers

Answer:

k = -1

Step-by-step explanation:

Plug the known values into the linear equation:

[tex]2x + ky = 8\\2(6) + k(4) = 8\\12 + 4k = 8\\[/tex]

Subtract 12 from both sides to isolate 4k:

[tex]12 + 4k - 12 = 8 - 12\\4k = -4\\[/tex]

Divide both sides by 4:

[tex]\frac{4k}{4} = \frac{-4}{4}[/tex]

k = -1

Hope this helps!

the test is already done but I don't have the answer scheme

Answers

Step-by-step explanation:

[tex] = {( \frac{3 {x}^{2} y}{x {y}^{ - 1} } )}^{2} \times ( \frac{4 {x}^{ \frac{1}{2}} {y}^{ - 2} }{ \sqrt{27 {x}^{3} } } )[/tex]

[tex] = {(3 {x}^{2 - 1} {y}^{1 - ( - 1)} )}^{2} \times (\frac{4 {x}^{ \frac{1}{2} } {y}^{ - 2} }{ {27}^{ \frac{1}{2} } {x}^{ \frac{3}{2} } } )[/tex]

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

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

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

[tex] =4 \times {3}^{2 - \frac{3}{2} } {x}^{2 - 1} {y}^{4 - 2} [/tex]

[tex] = 4 \times {3}^{ \frac{1}{2} } x {y}^{2} [/tex]

[tex] = 4 \times \sqrt{3} xy[/tex]

[tex] = 4xy \sqrt{3} [/tex]

Justice needs 24 feet of fencing to surround his garden. The fencing is priced at $0.25 per inch how much will it cost justice to fence in his garden?

Answers

Answer:

66 dollars

Step-by-step explanation:

Justice needs $72 to fence in his garden.

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

Justice needs 24 feet of fencing to surround his garden.

The fencing is priced at $0.25 per inch.

Since, 1 foot = 12 inch

Hence, 24 feet = 24 x 12 inch = 288 inch.

Cost of the fencing in one inch = $0.25

So, Cost of the fencing in 288 inch = 288 x 0.25

                                                      = $72

Thus, Justice needs $72 to fence in his garden.

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#SPJ6

If 4 kg of pork cost $1200, which would give the cost of 9kg of pork?

Answers

4 kg of pork = $1200

Then, 1 kg of pork = $1200/4 = $300

Now, cost of 9 kg of pork = $300 × 9

=》Cost of 9 kg of pork = $2700

_____

RainbowSalt2222 ☔

If a job pays $10 per hour, how much would it pay for 15 minutes?

Answers

Answer:  $2.50

Explanation:

15 minutes is 1/4 of an hour. This means we'll divide the hourly wage by 4

10/4 = 2.50

Side note: This assumes that your boss is paying in 15 minute increments (or some other fractional amount of an hour). However, your boss may only pay for full hours only.

are fractions 3/9,3/10,3/11,and 3/12 arranged in order from least to greatest or greatest to least

Answers

Answer:

They are arranged in order from greatest to least

Step-by-step explanation:

Since the numerator in these fraction are all the same, as smaller the denominator, as bigger the fraction. So these fractions are arranged in order from greatest to least.

Can someone please help me

Answers

Answer:

Honestly you can just look these up

Step-by-step explanation:

Like for the first one, 53 cups in gallons is 3.3125, round that to 3.31, mixed number fraction would be 3 31/100

A rectangle has a length of 1.5abc and a width of 10abc find the area of the rectangle

Answers

Answer:

A =  15 a²b²c² square units

Step-by-step explanation:

Area of a rectangle = LW

                    A = (1.5abc)(10abc)

                    A =  15 a²b²c² square units

Given the graph of two linear equations, describe how to determine the solution. How could the solution be verified?

Answers

Answer:

The solution is the point of intersection between the lines on the graph. Identify this point and substitute the x and y values into both equations to see whether they produce two true statements.

Step-by-step explanation:

(This is the exact answer on edge)

Hope it helps :) Have a great day!

(Sorry I couldent get to you sooner)

Answer:

To solve the given graph, we need to mark the crossing point made by the two lines. Once the crossing point is marked, we need to look for its 'x' and 'y' coordinates to locate the coordinates of the crossing point.

Step-by-step explanation:

Please give me brainliest. This is not the sample response on edge.

Together, teammates Pedro and Ricky got 2673 base hits last season. Pedro had 281 more hits than Ricky. How many hits did each player​ have?

Answers

2,673 minus 281 is 2,392.

2,392 divided by 2 is 1,196.

1,196 plus 281 is 1,477.

Answer: Ricky hit 1,196 and Pedro hit 1,477.

During bowling practice, Marley rolled 14 strikes out of 70 attempts. What percent of Marley's attempts were ​

Answers

Answer:

1/5

Step-by-step explanation:

If you divide 70/14 you will get 5.

Knowing this i can determining that every 5 attempts will get a strike.

This means 1/5 attempts will land with a strike.

When Max was a puppy, he weighed 5 1/2 pounds. At his 1-year check-up with the vet, Max weighed 15.8 pounds.

How much weight did Max gain between the time he was a puppy and his 1-year check-up?

Enter your answer as a decimal or simplified mixed number in the box.

Answers

Using the subtraction operation, the amount of weight gained by Max after 1 year is 10.3 pounds.

Given the Parameters :

Weight as a puppy = 5.5 pounds Weight at 1 year = 15.8 pounds

The weight gained can be calculated thus :

Weight at 1year - Weight as a puppy

Weight gained = 15.8 - 5.5 = 10.3 pounds.

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Which of the following is equivalent to the expression below (x+3)(x+4)

Answers

Answer:

Now, we can visually see that 6/8, is equivalent to 3/4, because the total height of the colored parts remains the same. Next, let's multiply the numerator 6, with 3, and the denominator 8, with 3

Step-by-step explanation:

please, and  i hope that is a answer

Convert decimals to fractions

Answers

Answer:I’m not sure if you had a file if so it’s not there but heres something else

Step-by-step explanation:

Decimals can be written in fraction form. To convert a decimal to a fraction, place the decimal number over its place value. For example, in 0.6, the six is in the tenths place, so we place 6 over 10 to create the equivalent fraction, 6/10. If needed, simplify the fraction.

Here is the histogram of a data distribution. All class widths are 1.
5
4
3
3
2
1
1 2 3 4 5 6 7 8 9 10
What is the median of the distribution?
A. 7
O B. 5
C. 4
O D. 6

Answers

Answer:

D. 6

Step-by-step explanation:

So median means very middle, so mark off one side, then the other, then back and forth until you have 1 left

5                                       X

4                                       X  

3                           X          X

2              X           X    X   X    X

1          X   X    X    X    X   X    X   X

     1    2    3    4    5    6    7    8    9    10

The answer is 6 because it is in the very middle when finding the median

How many ways can you choose 7 coins consisting of dimes and nickels so that their total value does not exceed half a dollar?
O 3 ways
4 ways
O 2 ways
O 5 ways

Answers

Answer:

3 porque un dólar es solo uno, por lo que el dólar podría dividirse en 3

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