A rectangular garden is 16 feet by 30 feet. Vivian wants to build a fence along the diagonal of the garden. How long does the fence need to be?

Answer:

Following are the responses to the given question.

Step-by-step explanation:

In this question, the points values are missing which is why its solution can be defined as follows:

Let

[tex]l= (7,-1) \\\\m=(-2, 4)\\\\n =(6,5)\\\\[/tex]

Formula:

[tex]d=\sqrt{((x_2-x_1)^2+(y_2-y_1)^2)}[/tex]

For d1:

[tex]x_1=7, y_1=-1, x_2=-2, y_2=4\\\\[/tex]

[tex]d=\sqrt{((-2-7)^2+(4+1)^2)}[/tex]

  [tex]=\sqrt{((-2-7)^2+(4+1)^2)}\\\\=\sqrt{((-9)^2+(5)^2)}\\\\=\sqrt{(81+25)}\\\\=\sqrt{(106)}\\\\=10.29[/tex]

For d2:

[tex]x_1=7, y_1=-1, x_2=6, y_2=5\\\\[/tex]

[tex]d=\sqrt{((6-7)^2+(5+1)^2)}[/tex]

  [tex]=\sqrt{((-1)^2+(6)^2)}\\\\=\sqrt{(1+36)}\\\\=\sqrt{(37)}\\\\=6.08[/tex]

The first distance value is greater than the second distance value.

Answer:

40.5

Step-by-step explanation:

there are 4 laps in 200 metres.

(200m÷50m)

2min 42 sec=120 sec+42sec (162sec)

so,

162÷4=40.5

Answer: maybe line C, i dont know

Step-by-step explanation:

Answer:

Follows are the responses to this question:

Step-by-step explanation:

[tex]H_O: \mu=220\\\\H_a:\mu \neq 220\\\\[/tex]

0.05 degree of significance for two tail tests and n-1= 9 df, critica t= 2.262

When the absolute value of the test statistic |t| >2.262, the decision rule rejects[tex]H_0[/tex].

[tex]\mu=220\\\bar{x}=228.200\\n=10.00\\smaple \ std \ deviation = 18.200\\std\ error \ ' sx= \frac{s}{\sqrt{n}} =5.7553\\test stat t=\frac{(x-\mu) \times \sqrt{n}}{sx}=1.4248\\p value=0.1880\\[/tex]

In point c:

It does not reject[tex]H_0[/tex], because it has the sample that not contradicts the manufacturer's claim

In point d:

For point 1:  

The value of p is 0.1880 , that is higher than the 0.05

For point 2:

Yes

Answer:

Step-by-step explanation:

2/16

1/8

8/1=8

2/16=0.125 which is equal to 1/8

2/14=1/7

1/8=1/8 is 2/16 simplified so they are the same

14/2=7

Answer:

C

Step-by-step explanation:

Pythagorean theorem = a² + b² = c²

Answer:

C.

Step-by-step explanation:

Pythagrean Theorem is on C

Answer:

First one i think is C and the second one is A it was easy

Step-by-step explanation:

Calculate the side length of the enlarged picture

Answer:

Hence, final picture will have a side length of 1.02 foot

Step-by-step explanation:

Side length of square photo, s = 0.17

Original dimension = (0.17 by 0.17)

Enlarged photo = double the original dimension:

2 * (0.17 * 0.17)

(0.34 * 0.34)

Second enlargement = Tripling the new dimension:

3 * (0.34 * 0.34)

(1.02 * 1.02)

Hence, final enlarged dimension = (1.02 * 1.02)

Hence, final picture will have a side length of 1.02 foot

12cm

have an amazing day <3

Answer:

-8

Step-by-step explanation:

a negative number multiplied by a positive one gives as a result a negative number

-2 x 4 = -8

Answer:

1:2

Step-by-step explanation:

Triangle = 3

Square = 6

3/3 = 1

6/3 = 2

1:2

Please Mark Brainiest

Answer:

1,260:280

or

1,260 to 280

or

1,260/280 Simplified → 4 1/2

Step-by-step explanation:

Since it asks for apples first put the amount first apples first to the amount of bananas second, since it asks for bananas second.

Answer:

I do not understand ummmm

Answer:

-25 = -(4v+7)+10

-25 = -4v-7+10

-25 = -4v+3

4v = 3+25

4v = 28

v = 28 ÷ 4

v = 7

Answer:

Therefore the value of v in the equation is 7

Answer:

61.2 decimeter.

Step-by-step explanation:

Answer:

there should be a "paper clip" sign

Step-by-step explanation:

then go to it click it and pick or take a photo

Answer:

x = 29

Step-by-step explanation:

8(5x-3)-11(3x+7)=102

40x - 24 - 33x - 77 = 102

7x - 101 = 102

7x = 203

x = 29

Answer:

X=29

Step-by-step explanation:

Answer:

5062043

Step-by-step explanation:

add the numbers for north and south America, add the numbers for Europe and Africa, and than subtract them. (north America+south America) - (Europe + Africa) = answer

Answer: They were able to use 665 pencils

Step-by-step explanation: You would simply do 8,454 - 1,789=665

                  Give Brainliest please :)

Answer:

24 cm³

Step-by-step explanation:

2 × 3 × 4 = 24

Step-by-step explanation:

I think Gold is the correct answer. Thanks.

Pretty sure the answer is Alloys.

Answer:

5575.28 cm

Step-by-step explanation:

The formula for volume of a sphere is  4/3 time (pie) time r and if your is 11 this should be right.

Answer:

C: 36

Step-by-step explanation:

There are 3 pairs of shoes. They all cost the same. Since these shoes add up to 108 dollars, they basically multiply by three to get to 108. (3x=108) If you want to figure out the cost of one shoe you just have to reverse the process by using division. So just do simple division by dividing 108 by three (108/3=x) and there is your answer, 36.

Answer:

What are the options?

CPCT?

Answer:

a) $6,875

Step-by-step explanation:

S.I. = P×R×T/100

= 55,000 × 2.5 × 5/100

= 687500/100

= $6,875

Answer:

6(d - 5)

Step-by-step explanation:

The difference of d and 5 represents (d - 5)

Multiply that by 6 to get 6(d - 5)

Answer:

Step-by-step explanation:

13. 2/3

14. 0

15. 5/2

Answer:

The new perimeter is 4.6 times the original perimeter of the parallelogram.

Step-by-step explanation:

A parallelogram is a four-sided figure, such that the opposite sides are parallel.

So a parallelogram is defined by two measures, we can define them as the length L and the width W (W can be equal to L, as in the case of the square or the rhombus)

The perimeter of one parallelogram is then:

P = 2*L + 2*W = 2*(L + W)

If a scale factor of 4.6 is applied to the parallelogram, then all the dimensions must be multiplied by 4.6

This means that the new length is L' = 4.6*L and the new width is W' = 4.6*W

Then the new perimeter is:

P' = 2*W' + 2*L' = 2*(L' + W') = 2*(4.6*L + 4.6*W) = 4.6*[2*(L + W)]

And the thing inside brackets is equal to the original perimeter, then:

P' = 4.6*P

The new perimeter is 4.6 times the original perimeter of the parallelogram.