The length of rectangular garden is 6 feet longer than the width. If the area of the garden is 16 square feet, find the length and width of the garden.

The length is __________ ft

The width is ___________ ft

Answers

Answer 1

Answer:

The length is 8 ft.

The width is 2 ft.

Step-by-step explanation:

A = l*w

l = w + 6

16 = w(w + 6)

16 = w^2 + 6w

w^2 + 6w - 16 = 0

(w + 8)(w - 2) = 0

w = -8ft or 2ft

Since lengths cannot be negative in reality, w = 2ft.

l*2 = 16

l = 8ft


Related Questions

CONVERT THE PERCENTAGES FRACTION 140%​

Answers

Answer:

7/5 simplified

Step-by-step explanation:

Its 7/5 Trust

Brainliest please!

Answer:

14/10 or 7/5

Step-by-step explanation:



Which statement below about the quiz scores is true?

Answers

Answer:

need the whole question .....

Step-by-step explanation:

Answer:

The median score is 80 ;)

Step-by-step explanation:

find the area ojefwo rgw hercpx

Answers

Answer:

3.14, radius of this circle is 1 and 1^2 is 1 and 1x3.14 is 3.14

Step-by-step explanation:

PLEASE HELP ME PLEASE!

Answers

Answer:

-4 and d

==============

Please give brainliest, I really want to rank up, thank you!

Answer:

x = d

x = -4

Step-by-step explanation:

not sure i tried

Write the additive inverse and multiplicative inverse of 3-7i?

Answers

Step-by-step explanation:

additive inverse means multiplying 3-7i by it's conjugate which would be

(3-7i)(3+7i)=3^2+7^2=9+49=58

the multiplicative inverse of a number z is 1/z

1/(3-7i)

multiply numerator and denominator by 3-7i's conjugate and it equals 58

(3-7i)/58

3/58-7/58i

Hope that helps :)

giving brainliest !!!!!!!

Answers

Answer:

6 square inches

Step-by-step explanation:

6(1*1) = 6 in^2

Answer:

hi

Step-by-step explanation:

i think 6×1in²=6

i hope it is true

hope it helps

have a nice day

How does the stimulus check impact society please help me please i really need help please

Answers

Answer:

It helps families who or who do not have the resources and helps them with money issues

Step-by-step explanation:

hope it helps

In ΔQRS, s = 2.3 inches, ∠S=51° and ∠Q=44°. Find the area of ΔQRS, to the nearest 10th of an square inch.

Answers

Answer:

Area of ΔQRS = 2.3 square inches

Step-by-step explanation:

From the given information,

<S + <Q + <R = [tex]180^{o}[/tex]

51 + 44 + <R = [tex]180^{o}[/tex]

95 + <R = [tex]180^{o}[/tex]

<R = [tex]180^{o}[/tex] - 95

    = [tex]85^{o}[/tex]

<R = [tex]85^{o}[/tex]

Applying the Sine rule, we have;

[tex]\frac{q}{SinQ}[/tex] = [tex]\frac{r}{SinR}[/tex] = [tex]\frac{s}{SinS}[/tex]

Using [tex]\frac{r}{SinR}[/tex] = [tex]\frac{s}{SinS}[/tex]

[tex]\frac{r}{Sin 85}[/tex] = [tex]\frac{2.3}{Sin51}[/tex]

r = [tex]\frac{2.3*Sin85}{sin51}[/tex]

  = 2.9483

r = 2.9 inches

Also, [tex]\frac{q}{SinQ}[/tex] = [tex]\frac{s}{SinS}[/tex]

[tex]\frac{q}{Sin44}[/tex] = [tex]\frac{2.3}{Sin51}[/tex]

q = [tex]\frac{2.3*Sin44}{Sin51}[/tex]

  = 2.0559

q = 2.0 inches

From Herons formula,

Area of a triangle = [tex]\sqrt{s(s-q)(s-r)(s-s)}[/tex]

s = [tex]\frac{2.3 + 2.0 + 2.9}{2}[/tex]

  = 3.6

Area of ΔQRS = [tex]\sqrt{3.6(3.6-2.0(3.6-2.9)(3.6-2.3)}[/tex]

                        = 2.2895

Area of ΔQRS = 2.3 square inches

Answer:

2.4

Step-by-step explanation:

(2/5)^3=

anybody help???

Answers

Answer:

8/ 125

Step-by-step explanation:

8/ 125

Answer:

8/125

Step-by-step explanation:

I think. you can use the app photo math

I WILL GIVE BRAINIEST IF ANSWERED WITH CLEAR EXPLANATION AND ANSWERS.
Find the area of each figure. Round your answer to 2 decimal places if required. (Use = 3.14 if needed)

Answers

Answer:

285 ft²

Step-by-step explanation:

Hello There!

The figure shown is a composite figure so in order to find the total area we are going to need to split the irregular figure into two regular figures:

A parallelogram with the following dimensions

base = 15

height = 7

and a trapezoid with the following dimensions

base 1 = 11

base 2 = 13 (found by subtracting the height of the parallelogram ( 7 ) from the total height of the composite figure ( 20 ) 20 - 7 = 13 so the length of base 2 is 13 ft)

height = 15

Now that we have identified each dimensions of the two regular figures we need to find the area of each individual figure

For the parallelogram

The area of a parallelogram can simply be found by multiplying the height and the base

So A = 15 * 7

15 * 7 = 105 so the area of the parallelogram is 105 square feet

For the Trapezoid

The area of a trapezoid can be found by using this formula

[tex]A=\frac{a+b}{2} h[/tex] where a and b = bases and h = height

So using the information that we had found about the trapezoids dimensions we plug in the values

[tex]A=\frac{11+13}{2} 15\\11+13=24\\\frac{24}{2} =12\\12*15=180[/tex]

So the area of the trapezoid is 180 square feet

Finally we add the areas of the two regular figures

180 + 105 = 285

so we can conclude that the area of the composite figure is 285 ft²

Amanda had five and sixty seven hundredths pounds of peanuts in her pantry how is this number written in expanded notation
A(5 × 100) + (6 ×10 )+ (7 ×1 )
B (5 ×1) + (6×0.01)+(7×0.1)
c (5×1)+(6×0.1)+(7×0.01)
D (5×10)+(6×1)+(7×1)​

Answers

9514 1404 393

Answer:

  C (5×1)+(6×0.1)+(7×0.01)

Step-by-step explanation:

The number being expanded is ...

  5.67

This is written in expanded notation as a sum that totals 5.67. The only sum with that total is answer choice C.

__

The offered sum choices are ...

  A  567

  B  5.76

  C  5.67

  D  63

Question 2
A laboratory did 36 blood tests on Monday, 43 on Tuesday,
29 on Wednesday, and 48 on Thursday. What is the mean
(average) number of blood tests the lab did each day?
answer choices :
o 45
o 42
o 39
0 33

Answers

Answer:

The answer is 39.

Step-by-step explanation:

The average is the total amount of blood tests divided by the number of days.

Total: 36 + 43 + 29 + 48 = 156 blood tests / 4 days =  39 blood tests per day.

Find the measure of the inscribed angle(real answers only please)

Answers

Answer:

46

Step-by-step explanation:

Sum of all the Arcs of a circle = 360.

So, the angle of the 3 arcs is

153 + 115 + x =360

=>268+x=360

=> x = 92

*** x = Arc FG

We know that the inscribed angle is 1/2 times the amount that of the intercepted arc.

=> Inscribed Angle = 1/2 * Intercepted Arc

=>  ? = 1/2* Arc FG

=> ? = 1/2 * 92

=> Angle E = 46

help please ! order the side lengths GH , HI , IG from least to greatest

Answers

Answer:

IH < IG < HG

Step-by-step explanation:

To solve this equation remember that angle measurements correspond with sides. So, the largest angle will be opposite of the longest side and the smallest angle will be opposite of the shortest side.

First, you need to find m<I; do this by subtracting 52 and 45 from 180. This means that m<I=83, making it the largest angle. Therefore, the angles, in order of least to greatest, are <G, <H, <I. So, to find the final answer, find the sides opposite of each of the angles. This means the answer is IH < IG < HG.

Write the slope-intercept form of the line given point and slope. ( show work if possible please)

through: (-2,-5), slope = 5 ​

Answers

Answer:

y=5x+5

Step-by-step explanation:

y-y1=m(x-x1)

y-(-5)=5(x-(-2))

y+5=5(x+2)

y=5x+10-5

y=5x+5

Simplify (-3/5) divided by (7/6)

Answers

-18/35 is the answer to (-3/5) divided by (7/6)

The lengths of nails produced in a factory are normally distributed with a mean of 4.95 centimeters and a standard deviation of 0.05 centimeters. Find the two lengths that separate the top 5% and the bottom 5%. These lengths could serve as limits used to identify which nails should be rejected. Round your answer to the nearest hundredth, if necessary.

Answers

Answer:

The length that separates the bottom 5% is of 4.87 centimeters.

The length that separates the top 5% is of 5.03 centimeters.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 4.95 centimeters and a standard deviation of 0.05 centimeters.

This means that [tex]\mu = 4.95, \sigma = 0.05[/tex]

Bottom 5%:

The 5th percentile, which is X when Z has a pvalue of 0.05. So X when Z = -1.645.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-1.645 = \frac{X - 4.95}{0.05}[/tex]

[tex]X - 4.95 = -1.645*0.05[/tex]

[tex]X = 4.87[/tex]

The length that separates the bottom 5% is of 4.87 centimeters.

Top 5%:

The 100 - 5 = 95th percentile, which is X when Z has a pvalue of 0.95. So X when Z = 1.645.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]1.645 = \frac{X - 4.95}{0.05}[/tex]

[tex]X - 4.95 = 1.645*0.05[/tex]

[tex]X = 5.03[/tex]

The length that separates the top 5% is of 5.03 centimeters.

what is 1/4 compared to 25%

Answers

Answer:

i dunno if this will help any but i think 1/4 and 25% is the same since 100/4=25

Step-by-step explanation:

if it doesn't i'm sorry for waisting ur time-

1/4 is equal to 25%. I know this because 1/4 is equal to 25/100.

Correct me if I’m wrong.

the equation is
Y=4x + 2
-6x+ 2y=8

I'm trying to figure out whats the value of x +y​

Answers

Answer:

Y = 4x +2

substitute Y into the second equation

-6x +2[4x +2] =8

-6x +8x +4 =8

collect like terms

-6x +8x =8-4

2x=4

x=2

Substitute (x=2) into the first equation

Y= 4(2) +2

Y= 8+2

Y= 10

I picked the last one by accident but what is the correct answer?

Answers

the third choice because -10 is greater than -14 and greater numbers are more towards the right.

What is the answer for 1+4?

Answers

Answer:

man thats really hard i think youve gotta ask a professional for that

Step-by-step explanation:

Answer:

1+4=5

1-4=-3 (3)

1 x 4= 4

1/4 =4

Step-by-step explanation:

20 POINTS FOR ANSWERING ALL PARTS

Answers

Answer:

wont let me download

Step-by-step explanation:

3. Kim's farm is 1.292 acres. Jack's
farm is 1,104 acres. Which is the
best estimate of the difference
in size between Kim's farm and
Jack's farm?
A 400 acres
B 200 acres
B
C100 acres
D90 acres

Answers

Answer:

d 90

Step-by-step explanation:

hope this helped you

Answer:

B. 200 acres

Step-by-step explanation:

Create an estimate by rounding the size of each of their farms to the nearest hundred.

Kim's farm is approximately 1,300 acres, since 292 is closest to 300.

Jack's farm is approximately 1,100 acres, since 104 is closest to 100.

Using these estimates, find the difference between them:

1,300 - 1,100

= 200

So, the best estimate of the size difference is B. 200 acres

Let the universal set U = {q, r, s, t, u, v, w, x,
y, z}; with
subsets A = (q, s, u, w, y); B = {q, s, y, z}; and C={v, w, x, y, z).
List the members of the indicated set, using set braces.
AUB​

Answers

AUB means adding all the members of set A and all the members of set B
A=(q,s,u,w,y) + set B=(q,s,u,y,s)
Therefore,AUB =(q,s,u,w,y,z)

Research indicates that many Americans do not save enough for retirement, on average. A group of economists at the Federal Reserve Bank of St. Louis are interested in conducting a study to examine whether Americans between the ages of 55 and 65 have saved too little. The analysts obtain a random sample of Americans in this age group and proceed to test if there is evidence of insufficient savings from these data. The variable considered is the total amount of savings for each individual, reported in thousands of US dollars (i.e. if value 3 appears in the data set, it stands for $3,000.)

Required:
Assume that financial specialists suggest that the minimum level of retirement savings should be 1.5 million US dollars. Use the JMP output to report the value of the test statistic used to gather evidence against the null hypothesis.

Answers

This question is incomplete, the complete question is;

Research indicates that many Americans do not save enough for retirement, on average. A group of economists at the Federal Reserve Bank of St. Louis are interested in conducting a study to examine whether Americans between the ages of 55 and 65 have saved too little. The analysts obtain a random sample of Americans in this age group and proceed to test if there is evidence of insufficient savings from these data. The variable considered is the total amount of savings for each individual, reported in thousands of US dollars (i.e. if value 3 appears in the data set, it stands for $3,000.)

Required:

Assume that financial specialists suggest that the minimum level of retirement savings should be 1.5 million US dollars. Use the JMP output to report the value of the test statistic used to gather evidence against the null hypothesis. Report your answer as a number ( no symbols ) and round up to two decimal places.

Test mean

Hypothesized value : 1500

Actual Estimate        : 1613.07

DF                             : 251

Std Dev                    : 782.626

t Test

prob > |t|  0.0226*

Answer:

the value of the test statistic used to gather evidence against the null hypothesis is 2.29

Step-by-step explanation:

Given the data in the question,

we determine Test statistics of using the formula

t = (x" - μ) / (s/√n)

where;

μ is the theoretical mean ( 1500 )

x" is the observed mean ( 1613.07)

s is the standard deviation ( 782.626 )

n is the sample size ( DF = n - 1, n = DF + 1 , n = 251 + 1 = 252 )

so we substitute

t = (1613.07 - 1500 ) / (782.626 / √252)

t = 113.07 / 49.3008

t = 2.29

Therefore, the value of the test statistic used to gather evidence against the null hypothesis is 2.29

True or False
You can only multiply exponents when the bases are the same.

Answers

Answer:

The answer is false

Answer:

False

Step-by-step explanation:

What are the coordinates of point A

Answers

Answer:

The coordinates of point A are (-4, 3)

hope it helps

Answer:

The coordinates of point A is (-4,3)

Step-by-step explanation:

(x,y)

X= -4

Y= 3

PLEASE ANSWER THE QUESTION IN THE PICTURE BELOW

Answers

9514 1404 393

Answer:

  32 in²

Step-by-step explanation:

The area is given by ...

  A = bh

  A = (8 in)(4 in) = 32 in²

The area of the parallelogram is 32 square inches.

Find the area of the following trapezoid. 5 7 14

Answers

Answer:

84

Step-by-step explanation:

5+7 times 14 divided by 2 i think there's no pic

Answer:

Welp, you didn't provide a picture so I'll go with every choice.

Step-by-step explanation:

If the two bases are 5 and 7, and the height is 14, then the area is 84.

If the two bases are 5 and 14, and the height is 7, then the area is 66.5.

If the two bases are 7 and 14, and the height is 5, then the area is 52.5.

The formula for the area of a trapezoid is : (a+b)/2 * h

The side lengths of a triangle are 12, 19, and x units.
12
19
(The figure above gives only one possible configuration for the triangle.)
Determine the possible values of x.
Write your answer as an inequality.
Use x only once in your inequality.
D>
ISO
D20
Х
?

Answers

Answer:

7<x<31

Step-by-step explanation:

The third side of any triangle must be more than the difference between the other two sides.

x>19-12

x>7 (or) 7<x

The third side of any triangle must be less than the sum of the other two sides.

x<19+12

x<31 (or) 31>x

Put them together.

7<x<31 (or) 31>x>7

7<x<31 are the possible values of x.

What is Triangle?

A triangle is a three-sided polygon that consists of three edges and three vertices.

Given that  side lengths of a triangle are 12, 19, and x units.

We need to find the value of x.

We know that the third side of any triangle must be more than the difference between the other two sides.

x is greater than difference of nineteen and twelve

x>19-12

x>7 (or) 7<x

The third side of any triangle must be less than the sum of the other two sides.

x<19+12

x<31 (or) 31>x

From this we get the interval as

7<x<31 (or) 31>x>7

Hence, 7<x<31 are the possible values of x.

To learn more on Triangles click:

https://brainly.com/question/2773823

#SPJ2

Other Questions
please help! Thank you :) also don't spam for points I know a moderator What tool can help you organize your ideas before you begin writing your first draft A. Dictionary B. OutlineC. Search engine D. Index CardPls help and be honest Using the rules that we developed in this chapter (ARIO), we might have expected these two compounds to have the same pKa. Nevertheless, they are different. Salicylic acid is apparently more acidic than its constitutional isomer. Can you offer an explanation for this observation Brainliest included to the right answer help, i will give brainliest What kind of waste is shown in the photograph?A. Composted wasteB. E-wasteC. Hazardous wasteO D. Septic system waste Five students wrote a test and the scores were as follows:5,3,7,9 and x. If their total score was 30 find the value of x Select the correct answer.Which of these is the best definition of a primary source?A. an authentic retelling of events or time periodsB. a firsthand account of an event or time periodC. research collected from other sourcesD. created by someone who didnt directly experience an eventE. a summary of firsthand accounts of events or time periods What is the area of the shaded region?6 units Ferns tend to live in which of the following habitats?"moist and sunnymoist and shadyO dry and sunnyOdry and shady Find the value of x.B10-X3DE2.Acx = [?] HELPP PLSS AND NO BOTS I WILL REPORT In September, finches and jays make up more than 60% of the birds at thefeeder. The box plots show data about testscores for two classes.Test ScoresClass 1Class 2.+t60709010080ScoreWhich statement is best supported by theinformation in the box plots? (7.1A, 7.18,7.1E, 716) Why is 10^5/10^4 equal to 10^11? Explain or show your thinking A birthday cake is being made using a cylindrical baking pan. The radius of the pan is 4 inches, and the height is 5 inches.Which formula represents the correct way to calculate the volume of the cake?O V = (4)(5)O V = r(4)(5)O V = $(5) (4)O V = $(4)?(5) Please answer part b and part C! soooooooootechnically i've neevr lost a fight with a tiger When a 20 kg explosive detonates and sends a 5 kilogram piece traveling to the right at 105 m/swhat is the speed and direction of the other 15 kilogram piece of the explosive! which crop did the spanish settlers grew first? Bridgeport Company is constructing a building. Construction began on February 1 and was completed on December 31. Expenditures were $1,836,000 on March 1, $1,236,000 on June 1, and $3,038,370 on December 31. Bridgeport Company borrowed $1,112,250 on March 1 on a 5-year, 12% note to help finance construction of the building. In addition, the company had outstanding all year a 9%, 5-year, $2,342,100 note payable and an 10%, 4-year, $3,467,800 note payable. Compute the weighted-average interest rate used for interest capitalization purposes.