It took Shawn 6 hours to walk to Susan's house at 2 kilometers per hour. How far is it between Shawn's house and Susan's house?

Answer:

Part A) The legs have already been given. I’m looking for the hypotenuse

Part B) [tex]c^{2}=40^{2} +71.5^{2}[/tex]

Part C) The missing length is [tex]81.93\ in[/tex]

Part D) [tex]82\ in[/tex]

Step-by-step explanation:

Part A) What parts of the right triangle have you been given? Are you looking for a leg or the hypotenuse?

we know that

Applying the Pythagoras Theorem

[tex]c^{2}=a^{2} +b^{2}[/tex]

where

c ----> is the hypotenuse of the right triangle

a and b -------> are the legs of the right triangle

In this problem we have

[tex]a=40\ in[/tex]

[tex]b=71.5\ in[/tex]

so

The legs have already been given. I’m looking for the hypotenuse

Part B) Set-up your equation by substituting the correct numbers in to the formula

we have

[tex]a=40\ in[/tex]

[tex]b=71.5\ in[/tex]

substitute in the Pythagoras Theorem and solve for c (hypotenuse)

[tex]c^{2}=40^{2} +71.5^{2}[/tex]

Part C) Solve for the missing length

we have

[tex]c^{2}=40^{2} +71.5^{2}[/tex]

solve for c

[tex]c^{2}=1,600 +5,112.25[/tex]

[tex]c^{2}=6,712.25[/tex]

[tex]c=\sqrt{6,712.25}\ in[/tex]

[tex]c=81.93\ in[/tex]

Part D) What is the size of the television rounded to the nearest whole inch (whole number)?

[tex]81.93=82\ in[/tex]

The Pythagorean Theorem is used to find the size of the TV, which is the hypotenuse in this scenario and equals to approximately 82 inches when rounded to the nearest whole inch.

Since we've set up our equation as 71.5^2+40^2=c^2, we can now simply solve for c, which is our hypotenuse, and in this case, represents the size of the television.

To do so, calculate the square of both given sides and add them: (71.5)^2 + (40)^2 = 5112.25 + 1600 = 6712.25.

The next step is to take the square root of that sum to get the length of the hypotenuse/c: sqrt(6712.25) = ~81.94 inches

Part D: Now, to answer the final part of your question, if we round this result to the nearest whole inch, we get 82 inches as the size of the new television.

https://brainly.com/question/28361847

#SPJ3

Answer:

What are the signs between the numbers?

Step-by-step explanation:

Answer:

The product of -4x^3y^2(7xy^4) is (2^6•7y^6x)

Answer:

60

Step-by-step explanation:

Is means equals and of means multiply

9 = 15% * N

Change to decimal form

9 = .15 N

Divide each side by .15

9/.15 = .15N/.15

60 = N

Answer: hi the answer is 60 hope i helped

Step-by-step explanation:

Answer:

0.0837 ,  0.088 ,  0.8 ,  0.84

Step-by-step explanation:

C

the answer should be C because the 45.75 represents the price of the fruit trees and if x was 88 that means there are 88 fruit trees

pls mark brainliest!!

Answer:

The correct option is C.

Step-by-step explanation:

Answer:

The volume of the rectangular prism is [tex]8\frac{1}{2}\ units^{3}[/tex]

Step-by-step explanation:

we know that

The Volume of a rectangular prism is equal to

[tex]V=BL[/tex]

where

B is the area of the base

L is the length of the prism

In this problem we have

[tex]B=2\frac{1}{8}\ units^{2}=\frac{8*2+1}{8}=\frac{17}{8}\ units^{2}[/tex]

[tex]L=4\ units[/tex]

substitute

[tex]V=(\frac{17}{8})(4)=\frac{17}{2}=8\frac{1}{2}\ units^{3}[/tex]

Answer:

type in decreased|TA i promise it will work

Step-by-step explanation:

trust bro trust

{decreased|TA}

In short, any high or low value outlier affect the data set the same way. When the outlier is removed, the standard deviation decreases.

Given that, a set of data has a high-value outliner.

In simple terms, an outlier is an extremely high or extremely low data point relative to the nearest data point and the rest of the neighboring co-existing values in a data graph or dataset you're working with. Outliers are extreme values that stand out greatly from the overall pattern of values in a dataset or graph.

When you have an outlier that is higher then the bulk of the data, the standard deviation is larger then it would be without the outlier. If the outlier was lower than the bulk of data, then the standard deviation would again be larger then it would be without the outlier and the mean would go down when the outlier is removed. Where it differs is the fact that removing the outlier would result in an increase of the mean instead of a decrease.

Therefore, in short, any high or low value outlier affect the data set the same way. When the outlier is removed, the standard deviation decreases.

Learn more about an outlier here:

https://brainly.com/question/26958242.

#SPJ6

Answer:

k^2 -3k +9/2

(k-3/2)^2

Step-by-step explanation:

k^2 -3k

Take b/2 and then square it to find the term to complete the square

(-3/2) ^2 = 9/4

k^2 -3k +9/2

The expression factors to (k-b/2)^2

(k-3/2)^2

The frequency is 2Hz

Using the formula

Arranging the equation

Frequency = Speed / Wavelength

Frequency = 200 / 100

Frequency = 2 Hz

Answer:

Roughly around 7mph

Step-by-step explanation:

Answer:

See below.

Step-by-step explanation:

Solve the equation using each of the properties listed.

3n - 5 = -8(6 + 5n)

3n - 5 = -48 - 40n              Distributive Property

3n + 40n - 5 = -48

43n - 5 = -48                      Addition Property of Equality

43n = -48 + 5

43n = -43                           Addition Property of Equality

n = -43/43

n = -1                                  Division property of Equality

Answer:

Guess that was the answwr

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The perimeter of the figure is the total distance around the figure.

Add each side to find the total distance.

10 + 8 + 8 + 2+2 + 6 = 36

Answer:

V=144

Step-by-step explanation:

To find the volume of a pyramid, use the formula V=B•h, B being the base and h the height. So 12•12=144.

The answer is 576 cm

.......................................

Answer:

A

Step-by-step explanation:

6 x 6 = 36

10 x 10 = 100

Answer:

A

Step-by-step explanation:

6x6=36

10x10=100

Answer:1/3  <  1 8/35  <  5/4

Step-by-step explanation:

Showing Work

Rewriting as fractions if necessary:

43/35, 1/3, 5/4

The least common denominator (LCD) is: 420.

Rewriting as equivalent fractions with the LCD:

516/420, 140/420, 525/420

Ordering these fractions by the numerator in order from least to greatest:

140/420 < 516/420 < 525/420

Therefore, your input in order from least to greatest is:

1/3 < 1 8/35 < 5/4

Answer:

a = -2b - 10

Step-by-step explanation:

a + 3b + 10 = b

a + 10 = -2b

a = -2b - 10

At Manny's taco shop, you can get an order of chips and two tacos for $9.25. The cost for two orders of chips and five tacos is $21.75.

You can get an order of chips and two tacos for $9.25.

1 Chips + 2 Tacos = 9.25

The cost for two orders of chips and five tacos is $21.75.

2 Chips + 5 Tacos = 21.75

First equate the coefficient - in this case x:

(x + 2y = 9.25) * 2 = 2x + 4y = 18.50

2x + 4y = 18.50

2x + 5y = 21.75

Minus the equations from each other to remove the coefficient you equated:

(2x + 5y) - (2x + 4y) = 21.75 - 18.50

(2x - 2x) + (5y - 4y) = 21.75 - 18.50

1 Taco = $3.25

y = 3.25

Substitute this into the equation.

x + 2y = 9.25

x + (2 * 3.25) = 9.25

x + 6.50 = 9.25

Rearrange to find x:

x = 9.25 - 6.50

x = 2.75

Chips = $2.75

Answer:

7

Step-by-step explanation:

Again just cross multiplication.

84 = 12m

Divide each side by 12.

m = 7.

Answer:

Part a) The length of each of the sides after the dilation is

[tex]A'B'=30\ units[/tex]

[tex]B'C'=25\ units[/tex]

[tex]A'C'=35\ units[/tex]

Part b) The graph in the attached figure

Step-by-step explanation:

Part a) What is the length of each of the sides after the dilation?

In this problem we have that the scale factor is 2.5

The scale factor is greater than 1

so

The dilation is an enlargement

To find the length of each of the sides after the dilation, multiply the original length by the scale factor

so

[tex]A'B'=AB*2.5=12*2.5=30\ units[/tex]

[tex]B'C'=BC*2.5=10*2.5=25\ units[/tex]

[tex]A'C'=AC*2.5=14*2.5=35\ units[/tex]

Part b) Draw the new image and label it

using a graphing tool

see the attached figure

Answer:

Do you still need help with this? If so just say if you do in the comments and I can probably help.

Step-by-step explanation:

Answer:

1/8 of the number of students

Step-by-step explanation:

1/4 + 1/3 + 1/8 + 1/6 =

= 6/24 + 8/24 + 3/24 + 4/24

= 21/24

= 7/8

7/8 of the class chose drinks.

1 - 7/8 = 8/8 - 7/8 = 1/8

That means that 1/8 did not have a drink.

Since we don't know the number of students in her class, we cannot tell the number of students who did not have a drink, but we do know it is 1/8 of the number of students.

Answer:

Right triangle

Step-by-step explanation:

because it has one 90 degree angle

Step-by-step explanation:

It's a RIGHT TRIANGLE because one of the angles has measure 90°.

Equilateral triangle has every angle with the same measure of 60°.

Isisceles triangle has two equal angle with the same measure.

Answer:

First polynomial minus the second polynomial:

3 x³ + x² + 7 x - 11.

Step-by-step explanation:

The question asks for the difference between the two cubic polynomials (maximum power of x is three.) As the other answerer mentioned, the question doesn't say anything about the value of x. In that case, the difference between the two polynomials will still be a polynomial about x.

The power x in the difference can be as high as three. Assume that to be a cubic polynomial.

? x³ + ? x² + ? x + ?.

What are the values of each coefficient?

For example, the coefficient in front of x³ in the difference is the difference between the coefficients of x³ in the two original polynomials.

Subtract the second coefficient from the first. 8 - 5 = 3. In other words, 3 is the value of the x³ coefficient in the difference.

3 x³ + ? x² + ? x + ?.

Repeat this step for the x² and x coefficients.

3 x³ + x² + 7x + ?.

The constant in the difference is the difference between the two constants.

-7 - 4 = -11.

Hence the difference:

3 x³ + x² + 7x - 11.

Alternatively, group the terms by the power of x:

(8 x³ - 2 x² + 5 x - 7) - (5 x³ - 3 x² - 2 x + 4)

= (8 x³ - 5 x³) + (-2 x² + 3 x²) + (5 x + 2 x) + (-7 - 4)

= 3 x³ + x² + 7 x - 11.

Answer:

34

Step-by-step explanation:

30+30+35+35+40=170

Since there are 5 numbers You have two divide 170/2=34

Glad i could help!

129.26 because 7 is over 5

Answer:

{2, 3}

Step-by-step explanation:

[tex] x^2 – 5x + 6 = 0 [/tex]

Factor the left side.

[tex] (x - 3)(x - 2) = 0 [/tex]

[tex] x - 3 = 0 [/tex]  or  [tex] x - 2 = 0 [/tex]

[tex] x = 3 [/tex]  or  [tex] x = 2 [/tex]

Answer: {2, 3}

How do you want us to solve it?

20% of 300 would come out to be 60 six graders who think cookie dough is best

Answer:

the second one

Step-by-step explanation:

Just put the equation in the quadratic formula but first get it in the ax^2+bx+c=0 form for that take 1 to the other side and subtract it

[tex]8x^2-2x-1\\a=8,b=-2,c=-1[/tex]

the quadratic formula is shown in the picture along with the rest of the working

the answer is the second option :)

hope this helps, best of luck graduating :)

Answer:   [tex]\bold{\dfrac{2\pm \sqrt{36}}{16}}[/tex]

Step-by-step explanation:

[tex]8x^2-2x-1=0\quad \rightarrow \quad a=8,\ b=-2,\ c=-1\\\\\\Quadratic\ formula: x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\\\x=\dfrac{-(-2)\pm \sqrt{(-2)^2-4(8)(-1)}}{2(8)}\\\\\\.\ =\dfrac{2\pm \sqrt{4+32}}{16}\\\\\\.\ =\dfrac{2\pm \sqrt{36}}{16}[/tex]

Answer:

9^7

Step-by-step explanation:

7*2=9

Answer:

54π in³

Step-by-step explanation:

The volume (V) of a cylinder is calculated using the formula

V = πr²h ( r is the radius and h the height )

here r = 3 and h = 6, thus

V = π × 3² × 6 = π × 9 × 6 = 54π in³ ← exact value