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Pythagorean Theorem. Lights and More Lights
The residents of watson Avenue are decorating their houses for upcoming holidays
They have decided to all string lights around the roofs their houses, How many feet of
lighting does Sarina need if she wants to string lights along roof?
Your work should include:
Length of the roof including formulas used (3 points)
A description of the Pythagorean Theorem (3 points)
Calculations (3 points)
Explanations using math terms (3 points)
If you need more space to show your problem
solving go to th next slide

Answer:

c i believe

Step-by-step explanation:

Answer:

A vacuum

Step-by-step explanation:

Answer:

30 lbs.

Step-by-step explanation:

There is a much easier way to do this involving percentages, but I hate percentages so here is my way.

The adult weight will be 100% and the puppy is currently around 30%. If you multiply 30% by 3, you get 90% which is almost 100%.

So I multiplied 9 by 3 to get 27 lbs.

Now I need to get the remaining 10%. 9 lbs is 30%, soto get to 10%, I divide 30% by 3. I divided the 9 lbs by 3 to get 3 lbs.

Add the two numbers together: 27+3=30 lbs

Answer:

3V/pi r2=h

Step-by-step explanation:

pi is piπ

Answer:

164 is less than the expectation

Step-by-step explanation:

Given

[tex]n = 480[/tex] --- Cars

[tex]p = 0.375[/tex] --- Probability of silver

Required

Determine if 164 is more or less than the expectation

First, we calculate the expected value (E(x))

[tex]E(x) = n * p[/tex]

Substitute values for n and p

[tex]E(x) = 480 * 0.375[/tex]

[tex]E(x) = 180[/tex]

The expected number of silver cars is 180.

Hence, 164 is less than the expectation.

Answer:

Step-by-step explanation:

2x + 3y = -12

-x - 3y = 18

x = 6

-6 - 3y = 18

-3y = 24

y = -8

(6, -8)

The solution of the system by using the elimination method is (6, -8).

An equation says that two things are equal. It will have an equals sign "="

How to solve it?

We have,

2x + 3y = -12

-x - 3y = 18

x = 6

Now,

-6 - 3y = 18

-3y = 24

y = -8

We got the solution:

(6, -8)

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Answer:

Y=1/2x

Step-by-step explanation:

the y intercept is 0 so we dont show it, and slope is rise over run, it goes up one unit every two times to the right

i hope this help!

Answer:=25

Step-by-step explanation:

Answer:

2 is B

3 is C

and i'm pretty sure 4 is B

Step-by-step explanation:

the calculator says otherwise -.-

Thats the correct answer.

Answer:

[tex]Tree = 17ft[/tex]

Step-by-step explanation:

Given

[tex]Wall = 4ft\ 3in[/tex]

[tex]Wall\ Shadow = 6ft[/tex]

[tex]Tree\ Shadow = 24ft[/tex]

Required:

Determine the height of the tree

To do this, we make use of the following equivalent ratios

Wall : Wall Shadow = Tree : Tree shadow

Substitute values for Wall, Wall Shadow and Tree Shadow

[tex]4ft\ 3in : 6ft = Tree : 24ft[/tex]

Convert all units to ft

[tex]4ft+ 0.25ft : 6ft = Tree : 24ft[/tex]

[tex]4.25ft : 6ft = Tree : 24ft[/tex]

Convert to fractions

[tex]\frac{4.25ft}{6ft} = \frac{Tree }{ 24ft}[/tex]

Cross Multiply

[tex]Tree * 6ft = 4.25ft * 24ft[/tex]

[tex]Tree * 6ft = 102ft^2[/tex]

Make Tree the subject

[tex]Tree = \frac{102ft^2}{6ft}[/tex]

[tex]Tree = \frac{102ft}{6}[/tex]

[tex]Tree = 17ft[/tex]

Hence, the tree is 17ft tall

Answer:

d. 28

Step-by-step explanation:

7x = 3x + 16

subtract 3x from both sides: 4x = 16

divide both sides by 4: x = 4

plug in four to find length of QA: 3 x (4) + 16 = 12 + 16 = 28

Answer:

The area would reduce to 1/4 the original area

Step-by-step explanation:

The area of a triangle = (1/2)(base)(height) or bh/2

If the triangle base and height were to reduce by one-half, the formula would change to:

Area = (1/2)(1/2 base)(1/2 height) or bh/8. Which is a reduction by 1/4

Answer:

2x−y=5

Step-by-step explanation:

Answer:

-x-8

Step-by-step explanation:

hope this helps

Answer:

if it is -8 subtracted from -x then

-x-(-8)

if it is 8 subtracted from x then

x-8

Answer: 7

Step-by-step explanation:

Distribute

3c - 6 = 15

Add 6 to both sides

3c = 21

Divide 3 to both sides

c = 7

Answer:

Follows are the solution to this question:

Step-by-step explanation:

Please find the complete question in the attachment file.

[tex]n_1 = 26 \\\\ x_1 = 16.12 \\\\s_1 = 3.58\\\\n_2 = 26\\\\ x_2 = 19.85 \\\\ s_2 = 4.51[/tex]

[tex]H_0: u_1 = u_2\\\\H_1: u_1 \neq u_2[/tex]

Using formula:

[tex]\to S^{2}_{p}=\frac{S^{2}_{1}(n_1 -1)+ S^{2}_{2}(n_2-1)}{n_1+n_2-2}[/tex]

[tex]\to Sp^2 = \frac{((26-1) \times (3.58^2) + (26-1) \times (4.51^2))}{(26+26-2)}[/tex]

          [tex]= \frac{((25) \times 12.8164 + (25) \times 20.3401 )}{(26+24)}\\\\ = \frac{(320.41 + 508.5025)}{(50)}\\\\ = \frac{(828.9125)}{(50)}\\\\=16.57825[/tex]

[tex]\to Sp = 4.0716[/tex]

Calculating the value of standard error:

[tex]\to SE = Sp \times \sqrt{\frac{1}{n_1}+\frac{1}{n_2}}[/tex]

          [tex]=4.0716 \times \sqrt{\frac{1}{26}+\frac{1}{26}}\\\\=4.0716 \times \sqrt{\frac{1+1}{26}}\\\\=4.0716 \times \sqrt{\frac{2}{26}}\\\\=4.0716 \times \sqrt{\frac{1}{13}}\\\\=4.0716 \times 0.277 \\\\=1.1278332\\\\= 1.1293[/tex]

Calculating the value of test statistic:

Formula:

[tex]\to t = \frac{(x_1-x_2)}{SE}[/tex]

      [tex]= \frac{(16.12 -19.85)}{1.1293}\\\\= \frac{(-3.73)}{1.1293}\\\\=-3.303[/tex]

Calculating the value of Degree of freedom:

[tex]= n_1+n_2 -2 \\\\= 26+26 -2 \\\\= 52 -2 \\\\= 50[/tex]

Because the P-value is a 2-tailed test = 0.0018

Thus they reject H0, because of P-value < 0.05,

Yeah, certain data show clearly that the means are different.

Answer:

I'm not going to lie I'm not 100% sure but I think it's c

Answer:

D

Step-by-step explanation:

4x=4+2y

3y=5+2x

Answer:

0,8022

Step-by-step explanation:

guess it helped

Answer:

The correct answer is (-1,-3)

Step-by-step explanation:

its right i think lol

9514 1404 393

Answer:

  r ≈ 19.0

  s ≈ 17.7

Step-by-step explanation:

The relevant trig relations are ...

  Sin = Opposite/Hypotenuse

  Cos = Adjacent/Hypotenuse

So, you have ...

  cos(43°) = r/26

  r = 26·cos(43°) ≈ 19.0

__

  sin(43°) = s/26

  s = 26·sin(43°) ≈ 17.7

Answer:

not yet di ko po maintindihan

Step-by-step explanation:

sana po magets nyo po

Answer:

74%->91.22

100%-> 123.27(estimated)

The total amount of the utility bill will be $123.2.

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that on a recent utility bill, the water/sewer/garbage portion of the bill was $91.22. This consisted of 74% of the total bill.

The total amount will be calculated as below:-

74% ⇒ $91.22

1% ⇒ 91.22 / 74

100% ⇒ ( 91.22 x 100 ) / 74

100% ⇒ $123.27

Therefore, the total amount of the utility bill will be $123.2.

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Answer:

a. 76 b. 52

Step-by-step explanation:

The perimeter of a rectangle is the sum of its four sides.

Now all rectangles have a width and a length.

To find the perimeter it is 2 width + 2 length or 2W +2L.

So if the Perimeter P = 344 and Width W = 76 and P = 2W + 2L

Then...

2(76) + 2L = 344 multiply 2 and 76

2L + 152 = 344 subtract 152 from both sides

2L = 192 divide both sides by 2

L = 96

The length is 96.

The equation of an area of a rectangle is A or  area = width x length or W x L

So the equation is A = W x L

If the area is 4732 and the length is 91 then

91W = 4732 divide both sides by 91

W = 52

The width is 52.

Hope that helps, good luck with your homework!

Answer:

Step-by-step explanation:

sorry need the points

Answer:

Step-by-step explanation:

Tan A = Sin A/Cos A

Cot A = Cos A / Sin A

Sin A*Cos A * tan A + Cos A * Sin A * Cot A

  [tex]= Sin A * Cos A * \frac{Sin A}{Cos A} + Cos A*Sin A * \frac{Cos A}{Sin A}\\\\= Sin A * Sin A + Cos A * Cos A\\\\= Sin^{2} A + Cos^{2} A\\\\= 1[/tex]

9514 1404 393

Answer:

  L = 5√10

Step-by-step explanation:

The Pythagorean theorem tells you the square of the hypotenuse is the sum of the squares of the other two sides.

  (10√3)² = L² + (5√2)²

  300 = L² + 50 . . . . . . . . . evaluate the squares

  L² = 300 -50 = 250 . . . . subtract 50

  L = √250 = (√25)(√10) . . . . take the square root and factor for simplification

  L = 5√10

Answer:

{(1, 0), (1, 1), (2,0), (2,1), (2, 2), (3,0), (3,1), (3,2), (3,3), (4, 0), (4,1), (4,2), (4,3), (4,4), (5,0), (5,1),(5,2), (5,3), (5,4), (5,5), (6,0), (6,1),(6,2), (6,3), (6,4), (6,5), (6,6)}

B.)

{(2,2), (3,2), (4,2), (4,4), (5,2), (5,4), (6,2), (6,4), (6,6)}

Step-by-step explanation:

Sample space :

Die roll, then number of coin tosses based on the outcome of the die roll, then number of heada from the toss(es) is recorded along with the outcome of the die roll.

{(1, 0), (1, 1), (2,0), (2,1), (2, 2), (3,0), (3,1), (3,2), (3,3), (4, 0), (4,1), (4,2), (4,3), (4,4), (5,0), (5,1),(5,2), (5,3), (5,4), (5,5), (6,0), (6,1),(6,2), (6,3), (6,4), (6,5), (6,6)}

Event that the total number of head is even:

{(2,2), (3,2), (4,2), (4,4), (5,2), (5,4), (6,2), (6,4), (6,6)}

Answer:

x > -6.33

Step-by-step explanation:

-3x + 4 < 25

-3x + 4 - 4 < 25 - 4

-3x < 19

-3x/3 < 19/-3

x > -6.33

Answer:

x> -7

Step-by-step explanation:

Subtract 4 from both sides:

−3x+4−4<25−4

Simplify:

−3x<21

Multiply both sides by −1 (reverse the inequality)

(−3x)(−1)>21(−1)

Simplify again:

3x>−21

Divide both sides by 3

(3x/3) >(−21/3 )

Simplify again to get the result!

x > -7