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?​

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

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.

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

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

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.

Answer:

B

Step-by-step explanation:

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

Answer: 38

Step-by-step explanation:

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

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:

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:

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

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

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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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

Answer:

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

Step-by-step explanation:

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

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

Angle 3 and Angle 7 are supplementary is the wrong statement

Because, they are corresponding angles and they are equal.

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.

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

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!

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

Answer:v= x a h add then multiply

Step-by-step explanation:

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:

Answer:

6

Step-by-step explanation:

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

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•◍)✧*。!!!