A rectangle is drawn so the width is 7 inches longer than the height. If the rectangle's diagonal
measurement is 29 inches, find the height.
Give your answer rounded to 1 decimal place.
inches

Answers

Answer 1

Answer:

h = 16.7 inches

Step-by-step explanation:

h² + (h + 7)² = 29²

h² + h² + 14h + 49 = 841

2h² + 14h - 792 = 0

h² + 7h - 396 = 0

quadratic formula

h = (-7 ±√(7² - 4(1)(-396))) / (2(1))

h = (-7 ± 40.4103) / 2

h = -23.705 which we ignore as negative length makes no sense

     (although 23.705 inches will turn out to be the width of our rectangle)

or

h = 16.705


Related Questions

Amanda needs to cut a board to use for a project. The board is 10 feet long. She first has to cut off 1 3/4 feet from one end of the board. She then cuts the remaining section of board into 4 equal pieces.

1 3/4x−4=10

1 3/4x+4=10

4x−1 3/4=10

4x+1 3/4=10

Answers

Answer: 4x+1 3/4=10

Step-by-step explanation: Took the test. Plus you can check to see if it equals to - 10 = 10 by replacing x with 2 1/16. Example: 4 * 2 1/16 + 1 3/4 =10. So 10 = 10 is a true match.

The given case can be represented as the equation 4x + 13/4 = 10.

What is a system of linear equations?

A system of linear equations can be defined as a number of equations needed to solve the equations. For n number of variables n number of equations are required.

Given that,

The length of board = 10 feet.

The length of piece that is cut first = 13/4 feet.

Suppose the length of each remaining piece cut into four equal parts is x feet.

Now, the expression for the total length of the board can be given as the sum of the total length of the remaining piece and the the piece that is cut first.

In mathematical form it can be written as,

4x + 13/4 = 10

Hence, the equation for the given case is 4x + 13/4 = 10.

To know more about linear equation click on,

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#SPJ2

4-(3+2)2 HOW DO I SOLVE THIS

Answers

The answer 6 I think

Simplify: 3a + 5a 20points

Answers

Answer: 8a

Step-by-step explanation:

3a + 5a

8a

4/7 x ? = 16

Can someone please explain step by step to get marked as brainliest

Answers

Answer:

28

Step-by-step explanation:

4 / 7 * x = 16

4 * x = 16 * 7

x = 4 * 7

x = 28

Answer:

the answer would be 28 becuase you would factor the numerator and denominator and cancel out the commen factors. i could explain more if needed :)

In 8 hours of training, Jenny walked 32 kilometers. During training, Jenny's average rate of speed was _______ kilometers per hour.

Answers

Answer:

4

Step-by-step explanation:

please help me. It’s due tomorrow morning

Answers

(A)

Step-by-step explanation:

To be able to compare the growth rates of these two people, we need to develop an equation to describe Ioana's growth history, just like Valentin did.

Let [tex]P_1(5, 102)[/tex] and [tex]P_2(10, 127).[/tex] Using the equation for the slope of a linear function,

[tex]m = \dfrac{y_2 - y_1}{x_2 - x_1}[/tex]

and this will represent the growth rate for Ioana. The slope in Valentin's equation also represents the growth rate. Using the values of the points that we picked, we get

[tex]m = \dfrac{127 - 102}{10 - 5} = \dfrac{25}{5} = 5[/tex]

The slope-intercept form of the equation that describes Ioana's growth can be written as

[tex]h_I = 5(a - 5) + b[/tex]

Note that we used (a - 5) instead of the usual variable a because the twins started recording their heights at the age of a = 5. Next, we need to figure out b, essentially Ioana's height at age 5. From the table, we can see that that b = 102. Hence, the equation for Ioana's height is

[tex]h_I = 5(a - 5) + 102[/tex]

Let's compare this with Valentin's equation for his height:

[tex]h_V = 4.5(a - 5) + 104[/tex]

We can see here that the slope for Ioana's equation is larger than Valentin's, which means that Ioana's growth rate is faster than that of Valentin, even though Valentin was taller when they first started.

At the Planetarium, tickets cost $11 for adults and $5.50 for kids under 12. What would be the total cost for 9 adult tickets and 16 kids tickets? What would be the total cost for aa adult tickets and kk kids tickets?

Answers

Answer:

Step-by-step explanation:

9 * 11 = 99 dollars for adults.  16 * 5.50 = 88 dollars for kids.

Togther it would be 99 + 88 = 187

how did the jones act change life r puerto rican’s??
in your own words

Answers

Answer: Well I would say Jones Act, any vessel can enter Puerto Rico. In fact, many foreign vessels enter Puerto Rico regularly, importing goods from countries around the world. However, transportation of goods between two U.S. ports must be carried out by a vessel that was built in the U.S. and operated primarily by Americans.

Step-by-step explanation:

from y² + 5 y - 7, subtract y² - 3 y - 4​n​

Answers

[tex] \: {y }^{2} + 5y - 7 \: subtract \: ({y}^{2} - 3y - 4n) \\ {y}^{2} + 5y - 7 - {y}^{2} + 3y + 4n \\ y {}^{2} - {y}^{2} + 5y + 3y + 4n - 7 \\ 8y + 4n - 7[/tex]
Answer: 8y + 4n - 7

Explanation: In the attachment.


Due to an economic downturn, a company had to decrease its staff
from 133 employees to 48 employees. What was the percentage
decrease in staff? Round your answer to the nearest tenth.

Answers

I’m he answer is around 68

What is the common ratio for the geometric sequence?

18,12,8,16/3,

Answers

Answer is 2/3

because

16/3 / 8=2/3

Does anyone know this?

Answers

Answer:

5√2

Hope this helps!

Circle P has a circumference of approximately 75
inches.
What is the approximate length of the radius, r? Use
3.14 for 1. Round to the nearest inch.
12 inches
24 inches
38 inches
46 inches

Answers

38 i ised my brain i think

2x - 3y = 10
6y = 4x - 20​

Answers

That would be the answer to it

Answer:

(5,0)

Step-by-step explanation:

Switch the second equation around so it matches up with the first one :

4x-6y = 20

Then solve by elimination :

-2 (2x-3y = 10) = -4x+6y = -20

-4x+3y = -20

+ 4x-6y = 20

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

-3y = 0

y = 0

Plug y as 0 into one equation :

2x-3(0) = 10

2x = 10

x = 5

Your solution would be (5,0) .

Solve the equation: j – 18 = -41

Answers

Answer:

j = -23

Step-by-step explanation:

j - 18 = -41j = -41+18j = -23

What is the percent of change from 8,000 to 80?

Answers

Answer:

-99%

Step-by-step explanation:

Since it is going down, it'll be negative.

8,000 - 80 = 7,920

7,920 / 8,000 = 0.99

0.99 x 100 = 99%

-99%

(they might be asking for just 99% though too!)

Have a nice day!

   I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

HELPPPPPPPPPPPPPPPP!!!!!!11

Answers

Answer:

The answer is C

Step-by-step explanation:

Answer:

h = 209

Step-by-step explanation:

So we want to solve h, therefore, we must get it by itself on one side. We can do that by somehow removing the three that is with h. So how could we do that? Well, by multiplying h/3 by 3, we get h because the threes cancel out. However, whatever we do to one side, we must do it to the other too because then the equation does not hold true. So, 3 x (69 + 2/3) = 209

WILL MARK BRAINLIEST
The measure of angle e is?

Answers

Answer:

49 degrees

Step-by-step explanation:

Answer:

m<E = 49°

Step-by-step explanation:

Using the straight angle theorem, we can add the angles measuring 63, 68, and the angle above the 68(let's call it x) add to 180. We can write an equation:

63 + 68 + x = 180

This means:

x = 49

Angle x is alternate interior to angle E, meaning the two are congruent and have the same measure. This means m<E = 49

Use the scatter plot and regression line shown below to answer the questions.
(a) Describe the association if any, between the variables.
(b) Estimate the correlation coefficient (r) between the variables.
(c) The points (7,28) and (9,33) are one the regression. Find the slope of the regression line (show all your work)
(d) Determine the equation of the regression line (show all your work)
(e) Estimate the value of y if x=25 (show all your work)

Answers

The relationship between the x and y variables in the scatter plot is

approximately linear.

(a) Increase in the y-variable follows from an increase in the x-variable

(b) The regression coefficient is approximately 0.9465

(c) The slope of the regression line is 2.5

(d) The equation of the regression line is approximately; y = 2.5·x + 10.5

(e) If x = 25, the value of y is 73

Reasons:

(a) From the attached graph, we have;

The increase in the x-variable gives a corresponding increase in the y-

variable.

(b) The correlation coefficient is given by plotting the given points using

MS Excel and finding the regression line, from which we have;

The regression coefficient is R ≈ √(0.8958) ≈ 0.9465

(c) The slope of the regression line is given by the slope of the line with

points (7, 28), and (9, 33), as follows;

[tex]Slope = \dfrac{33 - 28}{9 - 7} = 2.5[/tex]

The slope of the regression line is approximately 2.5

(d) Using the slope, m = 2.5, we get;

Equation of regression line, is y - 33 = 2.5·(x - 9)

Which gives;

y - 33 = 2.5·(x - 9) = 2.5·x - 22.5

y = 2.5·x - 22.5 + 33 =

The equation of the line is; y = 2.5·x + 10.5

(e)  If x = 25, we have;

y = 2.5 × 25 + 10.5 = 73

Therefore, if x = 25, y = 73

Learn more here:

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How do I calculate the root of 121? Please explain step by step to get marked

Answers

Answer:

11

Step-by-step explanation:

You can plug it inot a calculator, or can make a factor tree, in which the 2 factors would be 11, so 11^2=121 and [tex]\sqrt121[/tex]=11

Answer:

11

Step-by-step explanation:

its something you basically have to just memorize and know... i dont know how to explain it, but like basically not all numbers have an even number square root. to have an even number for a square root, the number has to be able to be divided by the same 2 numbers. like 121, for it to have a whole number square root, it has to be able to be divided by 2 same numbers. or doubles... 11 times 11

11 squared is 121

square root of 121 is 11

hope this helps.

mark me brainliest :D

how do yall do the square root sign my phone doesnt even have it

Answers

Answer:

you multiply the same number by each other and check if it matches squareroot number

Step-by-step explanation:

Please help I’m stuck on this

Answers

Answer:

Y = -1/4x + 2

Step-by-step explanation:

Found the answer by doing rise over run. Rise = 1  Run = -4

1/8 divided by 3/4 what is it?

Answers

1/8 times 4/3 = 4/24

Answer:

1/6

Step-by-step explanation:

g For this group of integral calculus students, an extra 10 points on Exam 1 is associated with an extra points on Exam 2, on average. Compute the r.m.s.-error associated with using the regression method to estimate Exam 2 from Exam 1.

Answers

The answer is a because I had that Same question and it was a

Ashley walked 3/5 of a mile in 1/4 hours. How many miles did she walk in 2 hours? Write your answer in decimal form

Answers

Answer:

4.8 miles

Step-by-step explanation:

Use proportions.

Which best describes the association between the number of years since 2006 and the average ticket price?

Answers

Answer: Strong positive association

Hope this help

Step-by-step explanation: can i get the crown

Strong positive association

1in.)
3in.
15 in-
1
.
5in.

Answers

15 in deep yes i think

helppppp mee plz i neeed help

Answers

Answer:

Basically the first image goes in the first box because opposites attract and the second image is what happens when you let the magnets go. The third image would go into the second chart because same-sides repel each other and the fourth picture shows what happens if you let the magnets that have the same sides facing each other go.

Step-by-step explanation:

Find the Derivative and explain what rule used

Answers

Answer:

[tex]\frac{6x^2+3x-1}{x^{\frac{3}{2} } }[/tex]

Step-by-step explanation:

PLx Help will mark brainlests IF CAN NO FILES OR LINKS OR DOWLOADS OR BIT WEBSITES

It takes Nadia four over nine h to complete her Language Arts homework and two over nine h to complete her mathematics homework. Which takes longer? How much longer?

Answers

Answer:

Four over nine looks like 4/9 and 2 over nine looks like 2/9.

Since they have the same denominator, which is 9, 4/9 would be bigger than 2/9, because 4 is bigger than 2.

Step-by-step explanation:

Hope this helps you :)

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