The area of a room is 425 square feet. The length is (x+9) feet and the width is (x+1) feet. Find the dimensions of the room.​

Answers

Answer 1

Answer:

width is 17

length is 25

Step-by-step explanation:

(x+9)(x+1) =[tex]x^{2}[/tex]  + 10x + 9 = 425

[tex]x^{2}[/tex]  + 10x - 416 = 0

(x-16)(x + 26) = 0

x = 16 or x = -26

x  cannot be -26

x = 16

so, (16 + 1) = 17

      (16 + 9) = 25


Related Questions

A pontoon boat is traveling 25 miles per hour in the direction of S 65° W. If it hits a current traveling at 6 miles per hour in the N 15° W direction, find the resultant vector.​

Answers

Answer:

resultant vector = 25.2

Step-by-step explanation:

we apply cosine theorem

8) The volume of a cuboid 12cm long 9 sm broad and 6 cm high is
a) 648 cm b) 648 m3
c) 648 cm3 d) 648 m​

Answers

[tex] \color{magenta} \huge{ \tt{{Answer}}}[/tex]

8.) The volume of a cuboid 12cm long 9 sm broad and 6 cm high is?

A.) 648 cm

Note: My answer is base on my understanding to your question.

Hopefully Help:)

#CarryOnLearning

_MafiaQueen4

Solve the system of equations using the elimination method. 2x − 3y = 50;7x + 8y = −10
A. (0, 5)

B. (6, 10)

C. (10, −10)

D. (3, −3)

Answers

Answer: C. (10, -10)

Step-by-step explanation:

Given

1) 2x-3y=50

2) 7x+8y=-10

Multiply both sides of 1) equation by 3.5

1) 3.5(2x-3y)=3.5×50

   7x-10.5y=175

2) 7x+8y=-10

Subtract 2) equation from the 1)

(7x-10.5y)-(7x+8y)=175-(-10)

-18.5y=185

y=-10

x=10

(10, -10)

Hope this helps!! :)

Please let me know if you have any questions

i got , C - (10,-10)

Simple Composite figures question. Find the area of the shape.

Answers

9514 1404 393

Answer:

  453.9 m²

Step-by-step explanation:

It considerably simplifies the area calculation to assume the figure decomposes to a parallelogram and an equilateral triangle.

The area of the parallelogram is ...

  A = bh

  A = (17 m)(6 m) = 102 m²

The area of the equilateral triangle—using the given altitude—is ...

  A = 1/2bh

  A = 1/2(17 m)(14.7 m) = 124.95 m²

The area of the whole figure is double the sum of these areas, so is ...

  A = 2(102 m² +124.95 m²) = 453.9 m²

The area of the shape is 453.9 m².

__

Additional comment

Unless we make some assumptions about the location of the concave exterior angle at the left and right, we cannot compute the area of the figure. At least, we must assume the 10 m segments are parallel. If that is the only assumption, and other dimensions are taken at face value, the area of the figure computes to about 453.4 m². As you can see from the attachments, the altitude of 14.7 is not quite enough to make the triangle equilateral. That prevents the quadrilateral from being a parallelogram.

Further dividing the quadrilateral along its short diagonal, various lengths and angles can be found using the law of sines and the law of cosines. Then the figure area can be found as the sum of triangle areas: two triangles in the quadrilateral, and the one with altitude 14.7. This alternate approach is shown in the second attachment.

Which option below best describes the maximums of these two functions? Function g has the greater maximum of 2. Functions g and h have the same maximum of -2. Functions g and h have the same maximum of 2. Function h has the greater maximum of -2.

Answers

Answer:

salak

Step-by-step explanation:

Hi people I need help on this question can y’all help me pls!!!!!! Thanks

Answers

I’m pretty sure it’s 43.96 I may be wrong though!

yolandas mother was born in 1975 how old is her mother ?

Answers

45 OR 46

It depends on which month and day she is born on in 1975.

If you want it from todays current date, she would be 46.

If her birthday is the 11 / 04 / 1975 (eleventh of April) -  31 / 12 / 1975 (thirty-first of December) then she is 45 years old. If her birthday has already passed in 2021 she is 46.

A laptop carry bag cost $30. The total cost will include an 8% sales tax. Which expression can be used in calculating the total cost with tax?

Answers

Answer:

30+8%=C

Step-by-step explanation:

place the cost of the bag first then add the precent and make it equal to C wich is cost

Can you solve the inequalities 9.50(70+x)≥1000

Answers

Answer: x_>(70+x_>)1000

Step-by-step explanation:

Answer:

35.26315789

Step-by-step explanation:

Question: 9.5(70+x)≥1000

70+x≥1000/9.5

(divide by 9.5 into both sides)

70+x≥105.2631579

x≥105.2631579-70

(minus 70 into both sides)

x≥670/19

x≥35.26315789

Donna borrowed $10, 500 at a simple interest rate of 4% for 3 years to buy her new car. How much interest would Donna pay and how much is the car altogether?

Answers

Question:-

Donna borrowed $10,500 at a simple interest rate of 4% for 3 years to buy her new car. How much interest would Donna pay and how much is the car altogether ?

Answer:-

Given:-

[tex] \bullet [/tex] Principal (P) = $10,500

[tex] \bullet [/tex] Rate of interest (r) = 4%

[tex] \bullet [/tex] Time (t) = 3 years

To Find:-

Interest of Donna and amount of car altogether.

Solution:-

We know,

[tex] { \boxed{\rm \red {I \: = \frac{Prt}{100}}}} [/tex]

[tex] \therefore [/tex] I = [tex] \frac{10,500 \: × \: 4 \: × \: 3}{100} [/tex]

I = [tex] \frac{126,000}{100} [/tex]

I = $1260

Now,

Amount of the car = $ (10,500 + 1260)

= $ 11,760

$1260 interest would Donna pay and $11,760 is the car altogether. [Answer]

Step-by-step explanation:

We know that Interest = Principal×Rate×Time/100

So,

10,500×4×3/100

= 10,500×3/25 (by cancelling 100 by 4)

=31500/25

= 1260

Therefore,

$1260 Answer

hope it helps.....

PLEASEPLEASE ANSWER IM BEGGING JSJDJDJ

Answers

Answer: x=15

Explanation: you can set 2x+100 = 5x+55 because they are corresponding interior angles.

Work:
2x+100 = 5x+55
2x+100-5x = 55
2x-5x = 55-100
-3x = -45
divide by -3 to cancel the negative and get x by itself
x = 15

Hope this helped! :)

a firefighter is placing a 15-foot ladder against a house. he places the ladder 10 feet away from the house. how high up the house will he be able to reach? round to the nearest foot

Answers

20 feet is correct have a nice day :D

a person eats 100 bananas in 1 second likelihood

Answers

Answer:

Not very likely

Step-by-step explanation:

Brₐinliest plz

En Cartagena de cada 10 personas 4 tienen una enfermedad, a este ritmo ¿cuántas personas se contagiarán si son 400 personas?

porfa para ya

ayudaaaaaaa

Answers

Answer:

Se contagiarian 160 personas.

Step-by-step explanation:

Para este problema debenos usar la siguiente regla de tres:

[tex]\frac{10(personas)}{4(enfermas)}=\frac{400(personas)}{x(enfermas)}[/tex]

Ahora, debemos despejar x de la ecuacion de arriba.

[tex]x=\frac{400(personas)*4(enfermas)}{10(personas)}[/tex]

[tex]x=160(enfermas)[/tex]

Por lo tanto, se contagiarian 160 personas.

Espero te haya sido de ayuda!

PLEASE HELP. no links.

Answers

Answer:

45 i think

Step-by-step explanation:

solve for x by finding the missing side of the triangle. Round your answer to the nearest tenth ​

Answers

Answer:

i thought i had the answer but then i got it wrong im sorry

Step-by-step explanation:

Answer:

Step-by-step explanation:

Remark

The side opposite (the side not connected to the angle) and the hypotenuse relate the sine

Equation

Sin(y) = opposite / hypotenuse

Solution

y = 41 degrees

hypotenuse = 12

x = ?

Sin(41) = x / 12                     Multiply both sides by 12

12 Sin(41) = x

Sin(41) = 0.6561

12 * 0.6561 = x

x = 7.8727

Maggie is rock climbing. After reaching the summit, she descends 14 feet in 213 1 3 minutes. If she continues at this rate, where will Maggie be in relation to the summit after 8 minutes?

Answers

Answer:

48 feets

Step-by-step explanation:

Given that:

Maggie descends 14 feets in 2 1/3 minutes

14 feets takes 7/3 minutes

The amount of feets she descends after 8 minutes will be x ;

14 = 7/3

x = 8

Cross multiply

7/3 * x = 14 * 8

7x /3 = 112

7x = 112 * 3

7x = 336

x = 336 / 7

x = 48 feets

-3x=6.3

what is x value

Answers

Answer:

-2.1 so you divide 6.3 and -3 and then boom that your answer

Answer:

[tex]x=-2.1[/tex]

Step-by-step explanation:

1. Solve the equation using division

[tex]\frac{-3}{-3} x=\frac{6.3}{-3}[/tex]

2. Solve equation

[tex]x=-2.1[/tex]

3. Check answer

[tex]-3(-2.1)=6.3\\6.3=6.3[/tex]

Please help and explain how you got the answer I am also being timed so please answer quickly thank you for your time

Answers

Answer:

I got you!

The correct answer is B Fitteen is less than r

To translate that into a numerical inaquiltiy, that is 15<r but the answer to the question is B.

Hope this helps!

Brainliest would be nice!

Answer:

B

Step-by-step explanation:

Hello There!

An inequality must include < or > which means greater than or less than

This meaning that the inequality when shown by using words must include the is less than or more (sometimes greater) than

The answer would be B because it uses the expression is less than which can be represented by the inequality sign <

15 is less than r

exchange the inequality sign with is less than

15 < r

they still have the same meaning and it is written as an inequality

Reasons why its not the other answer choices

For A:

Four times 0.45 plus x

written as an expression:

4(0.45+x)

the expression does not include < or > therefore the statement "Four times 0.45 plus x " cannot be written as an inequality

For C:

Half the product of 4 and s

written as an expression:

[tex]\frac{4s}{2}[/tex]

once again the expression does not include an inequality sign therefore C is not the answer.

For D:

eight times p is 20

written as an expression

8p = 20

Like the other answer choices the expression does not include an inequality sign therefore D is not the correct answer choice

A rope 13 meters long will just reach from the top of a flagpole to a point on the ground 12 meters from teh base of the flagpole. Find the height of the flagpole

Answers

Answer:

the height of the flagpole is 5 meters

Step-by-step explanation:

The computation of the height of the flagpole is given below

Given that

the length of the rope is 13 meters

And, the ground would be 12 meters

Based on the above information, the height of the flagpole is

= √13^2 - √12^2

= √169 - √144

= √25

= 5 meters

hence the height of the flagpole is 5 meters

determine the value of f(3) for the function f(x)=2x+4

Answers

Answer:

f(3)=10

Step-by-step explanation:

got the answer right on a test!

For the following set of temperatures recorded during 7 days in Hartford, find the mean.
51º, 530, 640, 499, 64º, 540, 50°
The mean is

Answers

Answer:

means is 339.142 degrees

Step-by-step explanation:

mean= sum of all values /number of values

mean=2374/7

mean=339.142

Kenneth started saving for retirement at age 40 with plans to retire at age 70. He invested an average of $400 per month in various securities, with an average annual return of 7% adjusted for inflation. Assuming monthly compounding, how much has Kenneth saved at the start of retirement.
A. $487,988.40

B. $720,421.84

C. $37,784.31

D. $556,559.8​

Answers

Answer:

487,988.40

Step-by-step explanation:

I took the test

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Answers

Mean of week one = 27.142
Mean of week two = 31.42

Answer is C

The rabbits ate three fifths of the celery crop in each of 8 gardens. What fraction of celery crop did they eat in all?

Answers

Answer:

The answer is a

Step by step

Multiplication

8×5 = 40

8×3 = 21

21/40

Step-by-step explanation:

#1. Use substitution to solve the system of equations
y = 6x
2x + 3y = -20
Solution: (

Answers

Answer:

I hope this would help you:)

Solve the problem below by finding a common denominator 1/3 - 1/5

Answers

Answer:

2/15

Step-by-step explanation:

1/3-1/5

5/15-3/15

= 2/15

Answer:

hi

Step-by-step explanation:

[tex] \frac{1}{3} - \frac{1}{5} = \frac{5}{15} - \frac{3}{15} = \frac{2}{15} [/tex]

have a nice day

Someone help if right will mark brainiest

Answers

Answer:

D, 3/5

Step-by-step explanation:

Sin equals opposite over hypotenuse.

The side opposite of Z is 30, the hypotenuse is 50

30/50 simplifies to 3/5

4-
2-
р
911) =
-1 – 3+ 4
0
-4
- 2
2
4
-2-
On which interval are both functions increasing?
O
1-2
3
4
0
-
c)

Answers

Answer:

Step-by-step explanation:

To get the correct answer, you can count the total number of shaded tenths and the total number of shaded hundredths and then regroup.

There are 9 shaded tenths and 18 shaded hundredths. Regroup 10 hundredths into 1 tenth to get 10 tenths and 8 hundredths. Then regroup the 10 tenths in one whole, giving you 1 whole and 8 hundredths. The product is 1.08.

Another way to get the answer is to count the total number of shaded hundredths. There are 108 hundredths. Regroup 100 of them as one whole, giving you 1 whole and 8 hundredths.

Mangi surveyed students about their favorite types of music. Find the ratio of students who chose dance to the total number of students surveyed. Favorite Music Pop 7 Country 5 Dance 4

Answers

Answer:

1 : 4

Step-by-step explanation:

Given:

Favorite Music :

Pop _____ 7

Country __ 5

Dance ___ 4

Total number of students surveyed :

(pop + country + dance). = (7 + 5 + 4) = 16

Number who chose dance = 4

Ratio of dance to total number surveyed

4 : 16 = 1 : 4

1 :4 (lowest term)

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