A landscape architect designed a flower garden in the shape of a trapezoid.




The area of the garden is 13.92 square meters. A fence is planned around the perimeter of the garden. How many meters of fencing are needed?​

A Landscape Architect Designed A Flower Garden In The Shape Of A Trapezoid.The Area Of The Garden Is

Answers

Answer 1

By using area of trapezium, it can be calculated that-

Length of fencing needed in 15.88m

What is area of trapezium?

Area of trapezium is the total space taken by the trapezium.

If the length of parallel sides be a and b and distance between the parallel sides are d,

Area of trapezium = [tex]\frac{1}{2}\times(a + b) \times (d)[/tex]

Length of the parallel sides = [tex]b_1[/tex] m and 5.28 m

Length of non parallel sides = 3.3 m and 3.3 m

Distance between parallel sides = 3m

Area of trapezium = [tex]\frac{1}{2} \times (b_1 + 5.28) \times 3[/tex]

By the problem,

[tex]\frac{1}{2} \times (b_1 + 5.28) \times 3 = 13.92[/tex]

[tex]b_1 + 5.28 = 13.92 \times \frac{2}{3}\\b_1 + 5.28 = 9.28\\b_1 = 9.28 - 5.28\\b_1 = 4 \m[/tex]

Length of fencing needed = 4 + 5.28 + 3.3 + 3.3 = 15.88 m

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Related Questions

Answer plz i will give brainliest

Answers

Answer:

B

Step-by-step explanation:

Compare the graph of g(x) = 6x2 with the graph of f(x) = x2.

Answers

Answer:

see explanation

Explanation:

the graph of g(x) is the graph of f(x) shifted vertically by

+ 6 units

or equivalent to a translation  

(

0

6

)

in general  

g

(

x

)

=

x

2

±

a

for  

a

>

0

shift is  

(

0

a

)

for  

a

<

0

shift is  

(

0

a

)

graph{(y-x^2)(y-x^2-6)=0 [-20, 20, -10, 10]}

Step-by-step explanation:

Devonte is 7 years older than Hanna. In 7 years the sum of their ages will be 83. How old is Devonte now?

Answers

Answer:

Hannah = 34 and 1/2

Devonte = 41 and 1/2

Step-by-step explanation:

Hanna = x

Devonte = x+7

x+x+7=83-7

2x+7=76

2x=76-7

2x=69

x=34.5

Hannah = x = 34.5

Devonte = x+7 = 41.5

How do you do the half and sum of the equation?​

Answers

Answer:

13x - 4

Step-by-step explanation:

Hi,

5(3x -1)

-1/2(4x - 2)

To add...

5(3x - 1) + -1/2(4x - 2)

15x - 5 - 2x + 1

13x - 4

That's your answer :)

I hope this helps!

What is the approximate value of this logarithmic expression?

Answers

9514 1404 393

Answer:

  B.  1.80

Step-by-step explanation:

The change of base formula can be used.

  [tex]\log_5(18)=\dfrac{\log{18}}{\log{5}}\approx\dfrac{1.25527}{0.69897}\approx1.7959\\\\\boxed{\log_5{18}\approx1.80}[/tex]

_____

Some calculators can compute the value for you directly.

When I solved this quadratic using the square root property, I am not sure if i did it correctly and I am not sure if there should be two x solutions.

Answers

Answer:

yup your answer is right

Step-by-step explanation:

two x solutions are +2√3

+2√3 can be written as +2√3 or -2√3

Answer:

yesssss you are rightttt

What is the volume? 3 m 1 m cubic meters​

Answers

Answer:

9 cubic meters

Step-by-step explanation:

V = lwh

V = 1 by 3 by 3

Answer:

9 cubic meters

Step-by-step explanation:

1x3x3=9

Please guys helppp ;( F(x)=mx+ b, f(-2)=3 and f(4)=1 , what is the value of m and b

Answers

Answer:

73) C) -1

74) D) 1

Step-by-step explanation:

The only combination that equals 3 is

f(x)=(-1)(-2)+1=3

73) -1

74) 1

Select which correctly describe the 92% confidence interval. (Select all that apply.)

a. We are 92% confident that the mean height of the entire business is larger than this interval.
b. The upper height represents the 92nd percentile.
c. We are 92% confident that the mean height of the entire business is in this interval.
d. The 92% confidence interval is a subset of the 85% confidence interval.
e. We are 8% confident that the mean height of the entire business is in this interval.
f. The 85% confidence interval is a subset of the 92% confidence interval.
d. 92 employees have heights in this interval.
e. 92% of employees have heights in this interval.

Answers

Answer:

c. We are 92% confident that the mean height of the entire business is in this interval.

f. The 85% confidence interval is a subset of the 92% confidence interval.

Step-by-step explanation:

x% confidence interval:

A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.

Margin of error:

The larger the confidence interval, the larger the margin of error. That means that for example, an 85% confidence interval is a subset of the 92% confidence interval.

In this question:

92% confidence interval -> We are 92% sure that the population mean is in this interval.

The 85% confidence interval is a subset of the 92% confidence interval.

So options c and f.

Tyler’s brother earns $14 per hour. The store offers him a raise... an 8% increase per hour. After the raise, how much will Tyler’s brother make per hour?

Answers

He will make $15.12 a hour from the raise.

answer of the question

Answers

Answer:

The number of milk chocolate pieces is between 115 and 120 pieces.

Step-by-step explanation:

Kaitlyn is walking on a treadmill at a constant pace for 28 minutes. She has programmed the treadmill for a 2-mile walk. The display counts backward to show the distance remaining. Enter and graph the equation that gives the distance f(x) left in miles as a function of the number x of minutes she has been walking. Then, find and compete the interpretation of the x- and y-intercepts.

Answers

Is this multiplying or what??? Anyways try calculating those numbers so basically you need to calculate 28x2 or if you have to divide them or multiply them you would get the answer is very simple

Complete the following table based on Absolute and Relative change. (Write your relative change as a percentage with a percent sign rounded to the nearest whole percent.)

Time

Value

Absolute Change

Relative Change

0

13.60





1

17.00





2

21.25





3

26.56





4

33.20





5

41.50

Answers

The relative change is solved as percentages and the absolute change is also solved

What is Percentage?

A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %

The difference between an exact value and an approximation to it is the approximation error in a data value. Either an absolute error or a relative error might be used to describe this error.

Percentage change is the difference between the measured value and the true value , as a percentage of the true value

Percentage change =( (| Measured Value - True Value |) / True Value ) x 100

Given data ,

Let the initial value be represented as A = 13.60 at time t = 0

Now , when the value is changed to 17.00

The absolute change = 17.00 - 13.60 = 3.40

The relative change = 3.40 / 13.60 = 0.25 = 25 %

Now , the percentage = 25 %

And , when the value is changed to 21.25

The absolute change = 21.25 - 17.00 = 4.25

The relative change = 4.25 / 17.00 = 0.25 = 25 %

And , when the value is changed to 26.56

The absolute change = 26.56 - 21.25 = 5.31

The relative change = 5.31 / 21.25 = 0.25 = 25 %

Now , the percentage = 25 %

And , when the value is changed to 33.20

The absolute change = 33.20 - 26.56 = 6.64

The relative change = 6.64 / 26.56 = 0.25 = 25 %

And , when the value is changed to 41.50

The absolute change = 41.50 - 33.20 = 4.25

The relative change = 8.3 / 33.20 = 0.25 = 25 %

Now , the percentage = 25 %

Hence , the relative change is given by the equation A = 25 %

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If , p x 6= 36 what is p? A. 1/6 B. 6 C. 216 D. 180

PLEASSEEEEEE

Answers

Answer:

6

Step-by-step explanation:

All you need to do is the inverse operation: 36 divided by 6, which is 6!


What is the area of the square? It has a side of 5 mm.

Please help i give brainliest

Answers

Answer:
25



Exp: bh so 5x5

This equation shows how the money Kensington Middle School spends on workbooks is related to the total number of workbooks they buy.d = 64.6tThe variable t represents the number of workbooks bought by the school, and the variable d represents the total cost of those workbooks. At most how many workbooks can Kensington Middle School buy if it has $64.60 to spend?

Answers

Answer:

1 workbook

Step-by-step explanation:

Equation:

d = 64.6t

Given:

d = total cost

t = number of workbooks

Work:

d = 64.6t

64.6 = 64.6t

t = 64.6/64.6

t = 1

Answer: 1 work book t=1

Step-by-step explanation:

A sixty-minute television program has 5 commercial breaks. Each break lasts 2 minutes. Write a numerical expression that represents the length of the program without commercial breaks. *

Answers

Answer: 60 - 10

Step-by-step explanation:

There are 5 commercial breaks with each of the breaks lasting 2 minutes.

Commercial breaks in total therefore last:

= 5 * 2

= 10 minutes.

The program is a 60 minute program so to find the amount of time the program lasts without the commercials, the expression is:

= 60 - 10

It lasts 50 minutes without commercials.

Quick for 15 points. William was playing a board game that had a spinner with six equal-sized sections. Three of
the sections were red, two sections were blue, and one section was yellow. Find the probability
that he landed on a purple section.
Ratio:
Percent:

Answers

Ummmmmm u didn’t say how many parts were purple but I’m assuming there’s one so

1/6= 6:1 (ratios)

1/6= 16.666666666(it goes on forever)

Not sure if it’s correct or not so u might wanna double check ur answer

What is the value of X PLEASE HLEPPP

Answers

Answer:

Using the formula,(x= base×height).

And the formula, (6+6×).

The answer should be: (A) 12

Step-by-step explanation:

Hope this helps! Have a good day/or night!

P.S: Sorry if I'm wrong I tried my best. Best wishes!!! And here's some sparkles ✨ (◍•ᴗ•◍)✧*。!!!

The value of x would be A (12)

Find the value of x in the triangle below

Answers

Answer:

50

Step-by-step explanation:

a triangle's angles add up to 180 degrees.

100-80=100

since two of the sides are the same length, the two angles must also be the same so you just divide 100 by two

100/2=50

In Exercises 1-4, the sample size n, probability of success p, and probability of
failure q are given for a binomial experiment. Determine whether you can use a
normal distribution to approximate the distribution of x.
1. n = 24, p = 0.85, 9 = 0.15
2. n = 15, p = 0.70, q = 0.30
3. n = 18, p = 0.90, q = 0.10
4. n = 20, p = 0.65, q = 0.35

Answers

Answer:

1. No

2. No

3. No

4. Yes

Step-by-step explanation:

Binomial approximation to normal.

The binomial probability distribution has parameters n, p and q.

If

[tex]np \geq 5[/tex] and [tex]nq \geq 5[/tex], you can use the normal approximation.

1. n = 24, p = 0.85, q = 0.15

[tex]np = 24*0.85 = 20.4 > 5[/tex]

[tex]nq = 24*0.15 = 3.6 < 5[/tex]

So no.

2. n = 15, p = 0.70, q = 0.30

[tex]np = 15*0.7 = 10.5 > 5[/tex]

[tex]nq = 15*0.3 = 4.5 < 5[/tex]

So no.

3. n = 18, p = 0.90, q = 0.10

[tex]np = 18*0.9 = 16.2 > 5[/tex]

[tex]nq = 18*0.1 = 1.8 < 5[/tex]

No

4. n = 20, p = 0.65, q = 0.35

[tex]np = 20*0.65 = 13 > 5[/tex]

[tex]nq = 20*0.35 = 7 > 5[/tex]

Yes

Volume by multiplying area of base times height

Answers

Answer:v= x a h add then multiply

Step-by-step explanation:

Clara bought 16 cases of water bottles. There were 12 water bottles in each case. Four students wrote and solved equations to find b, the number of bottles that Clara bought. Which student wrote and solved the equation correctly?
Maya’s work:
StartFraction b Over 12 EndFraction = 16. b = 1.3
Larissa’s work:
12 b = 16. b = 1.3
Sally’s work:
StartFraction b Over 12 EndFraction = 16. b = 192.
Anika’s work:StartFraction 12 Over b EndFraction = 16. b = 192.

Answers

Answer:

Sally is correct

Step-by-step explanation:

[tex]\frac{b}{12} =16[/tex]

to solve for b we can multiply both sides by 12 to get b alone.

b = 16 × 12

b = 192

Find the volume of the sphere. Radius is 1

Answers

Hi there!

[tex]\large\boxed{V = 4/3\pi \text{ or } \approx 4.19 \text{ } units^{3}}[/tex]

Find the volume of a sphere using the following equation:

V = 4/3πr³

Substitute in the given radius:

V = 4/3π(1)³

V = 4/3π or ≈ 4.19 units³

Answer:

32/3π on khan academy

Step-by-step explanation:

Add the product of 2 and 5 to the product of 9 and 8

Answers

Answer:

82

Step-by-step explanation:

2*5 + 9*8 = 10 + 72 = 82

Answer:

82

Step-by-step explanation:

product means multiply 2*5= 10  9*8= 72

10 + 72 = 82

1. Which of the following is not a true statement?

Group of answer choices

Angle 1 and Angle 3 are supplementary angles.

Angle 2 and Angle 7 are congruent

Angle 5 and Angle 8 are congruent.​

Angle 3 and Angle 7 are supplementary angles.

Answers

[tex]\bf{Hello!}[/tex]

Angle 3 and Angle 7 are supplementary is the wrong statement

Because, they are corresponding angles and they are equal.

Find the value of x

Answers

Answer: 38

Step-by-step explanation:

A picture of Margo's garden is shown below. It is made of 2 rectangular prisms. She wants to
-10 feet -
1 foot
3 feet
7 feet
3 feet
7 feet
2 feet
09 cubic feet
O 10 cubic feet
0 98 cubic feet
0 107 cubic feet

Answers

The Volume of dirt required for the Margo's garden which is made of 2 rectangular prisms is, 107 cubic feet, So option D is correct

What is Volume?

In mathematics, Space occupied by three dimensional objects is called Volume. Basically it is a space within closed region of  every three dimensional objects.

In given problem, we have two rectangular prisms

One has sides (1 feet, 3  feet, 3  feet)

Another one has sides (2 feet, 7 feet, 7 feet)

Volume of a rectangular prism  = Length×Height×Width

Volume of a rectangular prism 1  = 3×1×3 = 9

Volume of a rectangular prism 2  = 7×2×7 = 98

Total Volume = 107

Hence, Total dirt required  107 cubic feet

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In ΔIJK, the measure of ∠K=90°, KJ = 63, IK = 16, and JI = 65. What ratio represents the sine of ∠I?

Answers

The sine of ∠I is represented by the ratio 63:65

Please help! Picture attached!

Answers

Answer:

6.2

Step-by-step explanation:

Formula :

Distance between two points = √(xB−xA)2+(yB−yA)2(xB-xA)2+(yB-yA)2

Solution :

Distance between two points = √(5.5−1)2+(9.25−5)2(5.5-1)2+(9.25-5)2

= √4.52+4.2524.52+4.252

= √20.25+18.062520.25+18.0625

= √38.312538.3125 = 6.1897

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