Trevor thought there would only be 8 teams in the soccer tournament, but there were 17. What was his percent error?

AC will be 4√2 when AB = 4 and BC = 4, in the given right triangle.

According to Pythagoras' Theorem, in a right triangle, the square of the length of the longest side, that is, the hypotenuse, that is, the side opposite to the right angle is equal to the sum of the squares of the lengths of the other two sides.

In the question, we are given a right triangle, with sides AB = 4 and BC = 4.

We are asked to find AC.

To find AC, we will use the Pythagoras theorem, according to which, we can write:

AC² = AB² + BC²

or, AC² = 4² + 4²,

or, AC² = 16 + 16,

or, AC² = 32,

or, AC = √32,

or, AC = √(16 * 2) = 4√2.

Therefore, AC will be 4√2 when AB = 4 and BC = 4, in the given right triangle.

Learn more about Pythagoras' Theorem at

https://brainly.com/question/231802

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Answer:

4ft and 3ft

Step-by-step explanation:

Real mural: 8ft by 15ft

Scale: 2ft by 5ft

Length and width of scale drawing> 8t / 2ft= 4ft (length

                                                         >15ft/ 5ft= 3ft(width)

ANSWER 4FT BY 3FT

Answer:

Andy should represent the 8 feet long floor on the floor plan with a dimension of 4 inches

Step-by-step explanation:

The  scale of the tree house plan is given as 1 in. to 2 ft,

Therefore we have a scale of 1/2 in. of the floor plane is equivalent to 1 ft. in actual dimensions

Given that Andy wants the floor to make the tree house floor to have a length of 8 ft., let the dimension of the floor plan of the house floor be x, we have;

[tex]\dfrac{\frac{1}{2} \ inches \ plan }{1 \ feet \ actual} =\dfrac{x \ inches \ plan}{8 \ feet \ actual}[/tex]

[tex]x \ inches \ plan =\dfrac{\frac{1}{2} \ inches \ plan }{1 \ feet \ actual} \times 8 \ feet \ actual = 4 \ inches[/tex]

Therefore, Andy should represent the 8 feet long floor on the floor plan with a dimension of 4 inches.

Answer:

1)  502.65"

2) 367.57 yd

3)  141.37'  

4) 471.24'

Step-by-step explanation:

Formula: volume of a cylinder = πr²h

1) v= πr²h                     2) v= πr²h                      

  v= π x 4² x 10                v= π x 3² x 13

  v=  502.65"                   v= 367.57 yd

3) v= πr²h                       4) v= πr²h

    v=  π x 3² x 5                 v= π x 5² x 6

     v= 141.37'                       v= 471.24'

I hope this helped

Answer:

1. 502.5 [tex]in^{3}[/tex]

2. 367.38 [tex]yd^{3}[/tex]

3. 141.3 [tex]cm^{3}[/tex]

4. 471 [tex]cm^{3}[/tex]

Step-by-step explanation:

The solution to finding the volume of a cylinder is: [tex]\pi r^{2} h[/tex].

They give us a diameter but no radius. So, we just need to divide the diameter, 8, by two. That leaves us with a radius of 4.

We can also see that the height of the first cylinder is 10. That gives us all our information to find the volume!

3.14 · [tex]4^{2}[/tex] · 10 = 502.5

So, the volume of the first cylinder is 502.5[tex]in^{3}[/tex]

This, hopefully explains how to find the volume of the rest of the cylinders!! :)

Hope this helps!! <3

Answer:

Yes

Step-by-step explanation:

3.212 x 10^4

=> 3.212 x 10000

=> 32.12 x 1000

=> 321.2 x 100

=> 3212 x 10

=> 32120 x 1

=> 32120

Answer:

Yes

Step-by-step explanation:

In scientific notation, the power is the number of times you move the decimal place to the right.

3.212 x 10^4 is equivalent to 32,120 when you move the decimal place 4 times to the right.

So, 32,120 is equivalent to 3.212 x 10^4

Answer:

5,15

Step-by-step explanation:

let the numbers be x and y

but y = 3x

3x - x = 10

2x = 10

x = 5

Answer:

[tex]\Large \boxed{\sf 15 \ and \ 5}[/tex]

Step-by-step explanation:

Let the first number be x.

Let the second number be y.

x is 3 times y.

Difference of x and y is 10.

[tex]x=3y[/tex]

[tex]x-y=10[/tex]

Put x as 3y in the second equation.

[tex]3y-y=10[/tex]

Combine like terms.

[tex]2y=10[/tex]

Divide both sides by 2.

[tex]y=5[/tex]

Plug y as 5 in the first equation.

[tex]x=3(5)[/tex]

Multiply.

[tex]x=15[/tex]

The two numbers are 15 and 5.

Answer:

[tex]\huge \boxed{20}[/tex]

Step-by-step explanation:

The angles add up to 90 degrees.

x + 2x + x + 10 = 90

Combine like terms.

4x + 10 = 90

Subtract 10 from both sides.

4x = 80

Divide both sides by 4.

x = 20

Answer:

x = 20

Step-by-step explanation:

Since we are solving for x let's create an equation

The whole thing is equal to 90 degrees, so we can keep that on one part of the equation

x + 2x + (x + 10) = 90

First let's add all of the x's together making it 4x + 10 = 90

Now subtract 10 from each side 4x = 80

Lastly, divide 4 on each side

x = 20

Answer:

12x⁴ - 15x³ + 18x²

Step-by-step explanation:

1. distribute -3x²

-3x² • 5x = -15x³

-3x² • -4x² = 12x⁴

-3x² • -6 = 18x²

2. combine terms and put in descending order (standard form)

12x⁴ - 15x³ + 18x²

Answer:

12x⁴ - 15x³ + 18x²

Step-by-step explanation:

1. distribute -3x²

-3x² • 5x = -15x³

-3x² • -4x² = 12x⁴

-3x² • -6 = 18x²

2. combine terms and put in descending order (standard form)

12x⁴ - 15x³ + 18x² correct answer would be this

Answer:

Below

Step-by-step explanation:

● vector ED:

Vector ED = a since the Vectors ED and AB are colinear and have the same sense.

● vector CD:

Vector CD = -b since the vectors FA and CD are colinear but have opposite senses.

● Vector FB:

Vector FB = a+b

Using Chasles relation, we can express FB as the sum of the Vectors FA and AB.

● Vector BE:

Vector BE= -2b

The vectors BE and FA are colinear but have different senses. BE has a magnitude that is the double of FA's one.

●Vector EF:

Again using Chasles, relation we can express EF as the sum of the vectors FA and AB.

Vector EF= a+b

● Vector CF:

Vectors CF and AB are colinear but have opposite senses. The distance CF is the double of AB.

So: Vector CF=a+b

Answer:

18 m

Step-by-step explanation:

Answer:

18m

Step-by-step explanation:

Answer:

y=-x+2  

Step-by-step explanation:

it is linear equation y=mx+b two points (0,2),(1,1)

find m ( slope)=y2-y1/x2-x1 ⇒1-2/1-0⇒-1

y=mx+b choosea point from graph :(0,2)\when x =0 the y=b=2

y=-x+2  

Answer:

sec(π/6 - x) = R.H.S = 2/(√3cosx + sinx)  = L.H.S.

Step-by-step explanation:

sec(π/6 - x) = 1/cos(π/6 - x)

Using compound angle formula,

cos(A - B) = cosAcosB + sinAsinB where A = π/6 and B = x.

So, cos(π/6 - x) = cos(π/6)cosx + sin(π/6)sinx , cosπ/6 = √3/2 and sinπ/6 = 1/2

cos(π/6 - x) = cosπ/6cosx + sinπ/6sinx = (√3/2)cosx + (1/2)sinx

sec(π/6 - x) = 1/cos(π/6 - x)

= 1/(√3/2)cosx + (1/2)sinx = 2/(√3cosx + sinx)

= L.H.S

So, sec(π/6 - x) = R.H.S = 2/(√3cosx + sinx)  = L.H.S

Answer:

The standard deviation is zero

Step-by-step explanation:

Given that:

Web site W receives orders for its products every day.

What is the standard deviation of the numbers of orders that Web site W received daily for the past 5 days?

If :

(1) The average (arithmetic mean) number of orders that Web site W received per day for the past 5 days is equal to the greatest of the numbers of orders that Web site W received daily for the past 5 days.

SO, IF the average (arithmetic mean) is greatest , therefore, this implies that the  number of orders per day remains the same. Then the standard deviation will be zero because the set of values for the number of orders per day for the five days is the same.( i.e contains identical numbers).

.(2) The range of the numbers of orders that Web site W received daily for the past 5 days is equal to 0.

The range is the difference between the greatest value and the smallest value.

i.e

greatest value -  smallest value = 0

greatest value =  smallest value

Therefore , the range is zero and the standard deviation will remain the same (zero)

Answer:

9 tables

12 stools

Step-by-step explanation:

x= number of tables

x+3= number of stools

4x+3(x+3)=72

4x+3x+9=72

4x+3x=72-9

7x=63

x=9

So he built 9 tables and 12 stools

(9x4=36, 3X12=36, 36+36=72) CHECK

Answer:

answer is B . in order to make the triangles congruent the angle A and angle A'

Answer:

a and  b

Step-by-step explanation:

Answer

19 X 3= 57

10 X 5= 10

57 + 10=

Therefore your answer is $67

Hope this helps! （づ￣3￣）づ╭❤～

Step-by-step explanation:

Answer:

x³ + 5x

Step-by-step explanation:

2x+5x3+3x−4x3

=2x+5x3+3x+−4x3

Combine Like Terms:

=2x+5x3+3x+−4x3

=(5x3+−4x3)+(2x+3x)

=x3+5x

Answer:

[tex]\large \boxed{x^3+5x}[/tex]

Step-by-step explanation:

[tex]2x + 5x^3 + 3x - 4x^3[/tex]

[tex]\sf Group \ like \ terms.[/tex]

[tex]5x^3 - 4x^3+2x+3x[/tex]

[tex]\sf Combine \ like \ terms.[/tex]

[tex]x^3+5x[/tex]

Answer:

48

Step-by-step explanation:

Adam has 2/3 of books that brett and charlie have : 2/3 of 72 wich is 48

Answer:

Step-by-step explanation:

The expression

- 3x³

To find the value of the expression when

x = 4 substitute the value of x that's 4 into the expression

We have

- 3(4)³

= - 3( 64)

The final answer is

Hope this helps you

Answer:

a. Fifty-seven thousand eight hundred and twenty-two hundredths < fifty-seven thousand eight hundred and three tenths

Step-by-step explanation:

In numbers it is written in the order

Th    H    Tens    Units    Decimal   Tenths   Hundredths  Thousandths

57    8      0          0          .                0             22

57     8      0         0          .                 3

This could be simply explained that the if we make compare the numbers before the decimal they are same but after the decimal we can analyze

3/10 and 22/100

Converting them into decimals we get

0.3 and 0.22

therefore 0.3 is greater than 0.22

so Choice a is only correct .

a. Fifty-seven thousand eight hundred and twenty-two hundredths < fifty-seven thousand eight hundred and three tenths

Answer: The person above me is correct

explanation:

I said that because i don't want no one saying that i copied them

Answer:

120

Step 1: Value of triangle's sides

First, we need to find out the height of the parallelogram, since the equation to find the area is b * h. To find the height, we must use the Pythagorean Theorem to find the sides of the triangle on the right. Since the base is 15 cm, we know that the top is also 15 cm, so we subtract 9 from 15 to get 6. One of the sides of the triangle is 6, and the hypotenuse (longest side of the triangle) is 10.

Step 2: Pythagorean Theorem

[tex]a^2+b^2=c^2[/tex]. This is the equation we always use if we want to find the sides of a right triangle. Here, a = 6 and c = 10. In the formula, a and c needs to be squared to find b.

[tex]10^2 (10*10)=100\\6^2 (6*6)=36\\\\c^2=100\\a^2=36[/tex]

Now, we have to subtract c^2 from a^2 to get b^2.

[tex]100-36=b^2\\100-36=64\\b^2=64[/tex]

Finally, we find the square of 64 and that is 8.

8 is our height.

Step 3: Finding the area

This last step is really simple. to find the area of this parallelogram, we just have to multiply the height (8) by the base (15).

[tex]8*15=120\\Area=120[/tex]

Our area is 120.

Answer:

120

Step-by-step explanation:

at first you need to calculate h Using the Pythagorean relation

10

[tex]10 { }^{2} = 6 {}^{2} + x {}^{2} [/tex]

[tex] x {}^{2} = 100 - 36 = 64[/tex]

[tex]x = 8 = h[/tex]

area=

[tex]8 \times 15 = 120[/tex]

Answer:

10.5

Step-by-step explanation:

2/3=7/x

2x=21

x=21/2=10.5

Answer:

24 inches

Step-by-step explanation:

So, 1 inch = 5 feet

then, x inch = 120 feet

Let's represent this as a ratio.

1 inch / x inch = 5 feet / 120 feet

1 inch / x inch = 1 feet /24 feet

x = 24 inches

Answer:

The correct option is;

C. Marginal frequency

Step-by-step explanation:

The objective of comparison of two distributions is to check the significant difference from each other

The general measures used to compare the difference between distributions are the measures of centers such as the mean, the measures of spread such as the standard deviation and the shape of the compared distribution curves

Marginal frequencies are the values found in the total row and total column portion of a two way frequency distribution table

The marginal frequency is used to calculate the marginal relative frequency

The values of the marginal frequency, which is a sum, does not characterize the details of a distribution to a large extent.

Answer:

C. Marginal frequency

Step-by-step explanation:

Answer: 6√2

Step-by-step explanation: The easiest way to do this problem is to factor 72 as 2 · 36, then recognize 36 as a perfect square, 6 · 6.

There's no need to factor further because the 6's pair up

so a 6 comes out of the radical leaving a 2 inside.

So our answer is 6√2.

Always be on the lookout for perfect squares!

Work is attached below.

Answer:

(16x + 8)m²

Step-by-step explanation:

area of a rectangle = 2length + 2width

=2(3x + 5) + 2(5x-1)

=6x + 10 + 10x - 2

=(16x + 8)m²

Answer:

[tex] 4 ms^{-2} [/tex]

Step-by-step explanation:

[tex] \because Force = mass \times acceleration \\

\therefore Acceleration = \frac {Force} {mass} \\

= \frac {12}{3} \\

= 4 ms^{-2} [/tex]

Step-by-step explanation:

[tex]as \: we \: know \: that \: force = mass \times accerlation \: [/tex]

[tex]so \: it \: means \: accerltion = \frac{mass}{force} [/tex]

[tex]so \: put \: the \: values [/tex]

[tex]acceleration = \frac{12}{3} [/tex]

[tex]after \: solving \: it \: we \: get \: the \: answer \: 4[/tex]

so the acceleration is 4 m/s.^2

Hope it helps u

Answer:

6 + 8x

46

Step-by-step explanation:

1. Write the expression

6 + 8x

2. Plug in 5 for x

6 + 8(5) → 6 + 40 = 46

Answer:

Expression=8x+6

The value of expression=46

Answer:

Step-by-step explanation:

4*3^x+1=27+(3^2)^x

(3^2)^x=(3^x)^2

3^x=t

4t+1=27+t^2

t^2-4t+27-1=0

t^2-4t+26=0

delta=4^2-4*1*26=16-84=-68<0

the  equation has not real solutions