The ratio of the length of an airplane wing to its width is 7 to 1. If the length of a wing is 26.2 meters, how wide must it be?

Answer:

Volume = 7.912

Step-by-step explanation:

V = πr²h

V = 3.14 × 3/4 × 3/4 × 6 3/4 ( π = 22/7 or 3.14 )

V = 3.14 × 9/16 ×18/4

V = 3.14 × 0.56 × 4.5

V = 7.912

Step-by-step explanation:

The radius,r is 1 unit

The sum of angles is = π + π/4

5π/4

The length of the arc = (5π/4)/2π • 2πr

= 5π/4 units

The correct option for the given sum is option B. The point (2,-9) paired with (2, 3), will make a side equal to this length.

Let the other point of the pentagon will be M(n, o).

The given point be A (a, b)

Also given one of the sides of a pentagon has length 12.

Now, we need to find the distance between the two points,

Distance between two points: |AM| = √\((a-n)^2+(b-o)^2\)

Now,

\(12 = \sqrt{(2-n)^2+(3-o)^2}\)

\((12)^2\) = \((2-n)^2+(3-o)^2\)

\((2-n)^2+(3-o)^2\) = 144 ----------------------------- eq (1)

Now, check every point for the values to match with equation (1)

Option A: \((2-14)^2+(3-15)^2\) = 288. So the option is false.

Option B:

\((2-2)^2+(3-(-9))^2\) =114

0+114 =114

Therefore option B is correct. The other point is (2,-9).

Learn more about Pentagon:

https://brainly.com/question/4343134

#SPJ1

Answer:

I think the answer is 31ft. It's probably wrong, but that's what I got.

Answer:

The answer is,

f(-2) = -2

Step-by-step explanation:

Since -2 < 0, and f(x) = x for x < 0,

so we get,

f(-2) = -2

Option (D) D. Points Q and R is used to removed to make this relation a function.

To determine which two points could be removed to make the relation a function, we need to check if there are any repeated x-values (inputs) in the given set of points. In a function, each input should have a unique output.

Let's analyze the given options:

A. Points R and S: (R, 3), (S, 5)

B. Points Q and T: (Q, 2), (T, 5)

C. Points P and Q: (P, 1), (Q, 2)

D. Points Q and R: (Q, 2), (R, 3)

In this case, if we remove points Q and R, we eliminate the repeated x-value of 2, which ensures that each input has a unique output. Therefore, the answer is:

D. Points Q and R.

for similar questions on function

https://brainly.com/question/25638609

#SPJ8

The ratio of 50 hours to 30 hours is 1.33 hours.

What is ratio ?

ratio can be defined as the given value divided by the total value, called as the ratio.

Given ,

To find the ratio of 50 hours to 30 hours

let ratio of x to y is x/ y

similarly,

ratio = 50/30

ratio = 5/3

ratio = 1.33 hours.

in terms of minutes it is = (5/3) * 60

number of minutes = 100 minutes

so the ratio of 50 hours to 30 hours in terms of minutes = 100 minutes

Hence, The ratio of 50 hours to 30 hours is 1.33 hours.

To learn more about ratio from the given link.

brainly.com/question/29192438

#SPJ1

Answer:

A rectangle of 10.6 x 11.4 dimensions.

Step-by-step explanation:

(5.3*2)*(5.7*2)=5.3*4*5.7=10.6x11.4.

Can you put more of the question

Step-by-step explanation:

a) f(1) = -1 → x = -1

b) g(1) = Undefined

c) f(x) = 1 → x= Undefined

d) g(x) = 1 → x= 5

The expected number of pairs of people who are standing next to each other in line and in the same group is ( 2n ) ! / 2^n * n! .

Given :

stand by me [14 points] what is the expected number of pairs of people who are standing next to each other in line and in the same group .

we know that ,

Number of pairs is determined by using the concept combinations of binomial distribution .

= ( 2n ) ! / 2^n * n !

here we represent * has . for multiplication to reduce the complexity .

= ( 2n ) ! / 2^n . n!

Learn more about the number here:

https://brainly.com/question/17429689

#SPJ4

Answer:

Hmm im not suree :l

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

After considering the given data we come to the conclusion that the area to the left of z is 0.982, which is Option D. And the standard deviation of the given data is 87.6, which is Option C.


In order to  calculate the area to the left of z=2.09 we have to  apply the z-table:
1. Search for the row that starts with "2.0" in the leftmost column of the z-table.
2. Then for the column that starts with "0.09" in the top row of the z-table.
3. Here the value at the intersection of this row and column is 0.9821.
4. Finally round this value to three decimal places to get 0.982.
Hence , the area to the left of z=2.09 is 0.982.

Now for the second part of the question
Applying the given data set {10, 26, 84, 48, 250, 56}, we can evaluate the standard deviation as follows:

1. Evaluate the mean:
mean = (10 + 26 + 84 + 48 + 250 + 56) / 6 = 74
2. Applying subtraction of the mean from each data point:
{10 - 74, 26 - 74, 84 - 74, 48 - 74, 250 - 74, 56 - 74}
= {-64, -48, 10, -26, 176, -18}
3. Applying square of the result of step 2:
{(-64)², (-48)², (10)², (-26)², (176)², (-18)²}
= {4096, 2304, 100, 676, 30976, 324}
4. Exercising summation of the result of step 3:
4096 + 2304 + 100 + 676 + 30976 + 324
= 38176
5. Applying division of the result of step 4 by the number of data points (n):
standard deviation = √(38176 / (6 -1))
= √7625.2)
≈ 87.6.
Therefore, the answer is  87.6
To learn more about standard deviation
https://brainly.com/question/24298037
#SPJ1

Answer:

80

Step-by-step explanation:

800/5= 160

take the results and divide it by 2 and you get 80.  

Answer:

0.90$

Step-by-step explanation:

4hour=0.60

6hour=x

x=(0.60×6)/4

x=0.90$

The cost to run the fan for 6 hours is $0.90.

The value of money that has been used up to produce something or deliver a service, and hence is not available for use anymore.

How to solve?

4hour=0.60

6hour=x

x=(0.60×6)/4

x=0.90$

Learn more about Cost:

https://brainly.com/question/15301858

#SPJ2

16 ounces is 1 pound.

So 1 ounce will be 1/16 pound.

750 × 1/16

\(\displaystyle \frac{750}{16}\)

Answer:

The correct answer is ounces

Step-by-step explanation:

1 pound= 16 ounces

750x 1/16=7.50

so it will be ounces

Hope this helps!

Answer:

A.  4

Step-by-step explanation:

Given inequality:

\(x+9 < 4x\)

Rearrange the inequality to isolate x.

Subtract x from both sides of the inequality:

\(\begin{aligned}x+9-x & < 4x-x\\9& < 3x\end{aligned}\)

Divide both sides of the inequality by 3:

\(\begin{aligned}\dfrac{9}{3}& < \dfrac{3x}{3}\\\\3& < x\\\\x& > 3\end{aligned}\)

So the values of x that make the inequality true are:

Therefore, from the given answer options, the value of x that makes the inequality true is x = 4.

To check this, substitute x = 4 into the inequality:

\(\begin{aligned}x+9& < 4x\\x=4\implies 4+9& < 4(4)\\13& < 16\end{aligned}\)

As 13 is less than 16, the inequality is true when x = 4.

The equations that are parallel to the line 3x - 4y = 7 and pass through the point (-4, -2) can be represented by: \(y + 2 = \frac{3}{4} (x + 4)\)  and  \(3x - 4y = -4\)

We know that the equation can represent the slope-intercept form of a line: y = mx + c, where b is y-intercept and m is the slope

We can represent the line 3x - 4y =7 in the equation of slope-intercept form:   => 3x - 4y = 7  =>  4y = 3x - 7

          => \(y = \frac{3}{4} x - \frac{7}{4}\)

by comparing this, we get slope for equation 3x - 4y = 7 => m = 3/4

Also, Parallel lines have the same slopes so the slope of the parallel line will be m = 3/4

We are given that the line passes through (-4, -2) and with m = 3/4 we can get the point-slope form of the line: y - y₁ = m(x - x₁)

where (-4, -2) = (x₁, y₁)  and m = 3=4

        =>  \(y - (-2) = \frac{3}{4}(x - (-4)\)         =>  \(y + 2 = \frac{3}{4} (x + 4)\)

So,   \(y + 2 = \frac{3}{4} (x + 4)\) is the parallel line

By simplifying this equation, we get :

\(y = \frac{3}{4} (x + 4) -2\)   =>  \(y = \frac{3x +12 -8}{4}\)

\(4y = 3x + 4\)     =>   \(3x - 4y = -4\)

Hence, The equations representing the lines parallel to 3x - 4y = 7 are: \(y + 2 = \frac{3}{4} (x + 4)\) and \(3x - 4y = -4\)

To know more about Equations on Parallel lines, Click here :

https://brainly.com/question/356285

#SPJ9

1. An equation that represents "the amount of tax on an item of price p",

t = p x X / 100

2. Marta does pay on an item whose price is $20, $1.6

Percentage is a way to express a number as a fraction of 100. It is often used to represent ratios and proportions in a more convenient and understandable form, especially in financial and statistical contexts. For example, 50% means 50 per 100, or half of a given quantity. It is denoted using the symbol "%".

Given that,

Tax rate = 8%

1. Let's assume that the sales tax rate is X%.

Then, the equation that represents the amount of tax (t) Marta pays on an item whose price is p can be written as:

t = p x X / 100

2. If the price of the item is $20, the amount of tax Marta pays can be calculated as follows:

t = $20 x X / 100

t = $20 x 8 / 100

t = $1.6

So, Marta pays $1.6 in sales tax on an item whose price is $100.

To know more about Percentage check:

https://brainly.com/question/29306119

#SPJ1

Answer:

The rate of change is 28.

Step-by-step explanation:

The equation is in slope-intercept form,  y = mx + b, where m is the slope, and b is the y-intercept.

The line passing through p₁ and q₁ is parallel to the line passing through p₂ and q₂.

(a) To find the center and radius of a circle with the equation x² + y² + 2x + 8y = 8, we need to rewrite the equation in the standard form of a circle, which is (x - h)² + (y - k)² = r², where (h, k) represents the center of the circle and r represents the radius.

We start by completing the square for both x and y terms:

x² + 2x + y² + 8y = 8

(x² + 2x) + (y² + 8y) = 8

To complete the square for x terms, we add (2/2)² = 1 to both sides inside the parentheses:

(x² + 2x + 1) + (y² + 8y) = 8 + 1

(x + 1)² + (y² + 8y) = 9

To complete the square for y terms, we add (8/2)² = 16 to both sides inside the parentheses:

(x + 1)² + (y² + 8y + 16) = 9 + 16

(x + 1)² + (y + 4)² = 25

Now the equation is in the standard form. We can see that the center of the circle is (-1, -4) and the radius is the square root of 25, which is 5. Therefore, the center of the circle is (-1, -4) and the radius is 5.

(b) To show that the line through p₁(3, -4) and q₁(-2, 6) is parallel to the line through p₂(-3, 6) and q₂(9, -18), we need to demonstrate that the slopes of the two lines are equal.

The slope of the line passing through p₁ and q₁ is given by:

m₁ = (y₂ - y₁) / (x₂ - x₁)

  = (6 - (-4)) / (-2 - 3)

  = 10 / -5

  = -2

The slope of the line passing through p₂ and q₂ is given by:

m₂ = (y₂ - y₁) / (x₂ - x₁)

  = (-18 - 6) / (9 - (-3))

  = -24 / 12

  = -2

We can see that both slopes are equal to -2. Therefore, the line passing through p₁ and q₁ is parallel to the line passing through p₂ and q₂.

By demonstrating that the slopes of the two lines are equal, we have shown that the line through p₁(3, -4) and q₁(-2, 6) is parallel to the line through p₂(-3, 6) and q₂(9, -18).

for more such question on line  visit

https://brainly.com/question/24644930

#SPJ8

The correct answer is (1,1) because both of the lines meet together at these numbers

Answer:

14

Step-by-step explanation:

(3)^2 + 4(3) - 7

9 + 12 - 7

21 - 7

14

The length of section of pipe on the construction plan on conversion of units from feet to inches, 7 feet 5 1/8 inches will be 7.427 feet. On rounding off to the two places after decimal the length will be 7.43 feet.

We know that 1 foot = 12 inches. In order to convert feet into inches we'll multiply the given number by 12. Similarly to convert given inches to feet, we'll divide the given number by 12.

Here the length of pipe= 7 feet 5 1/8 inches

To convert 5 1/8 inches to feet: Divide by 12 {1 foot =12 inches}

                   =\(\frac{41}{8\\}\) ÷ 12

                   =\(\frac{41}{8}\) × \(\frac{1}{12\\}\)

5 1/8 inches =\(\frac{41}{96\\}\) feet

Now, 7 feet 5 1/8 inches = 7 feet + \(\frac{41}{96} \\\) feet

                                        = 7 feet + 0.4270 feet

                                        =7.4270 feet

                                        =7.43 feet

To know more about conversion, visit:

https://brainly.com/question/28005036

#SPJ1

The mean value is 7.6. Option (D) is the correct answer.

The number of successes in a sample of size n drawn with replacement from a population of size N is frequently modeled using the binomial distribution.

The mean value of a binomial distribution is,

\(\mu =np\\=38*0.2\\=7.6\)

Multiplication:

In mathematics, multiplying two or more numbers yields the product of the numbers. It is one of the basic mathematical operations that we carry out on a regular basis. The most obvious application is using multiplication tables. The multiplication of two numbers in mathematics represents the repeated addition of one number in respect to another. These numbers can be natural numbers, whole numbers, fractions, integers, or other types of numbers. When m is multiplied by n, m is either multiplied by n times or added to itself n times.

To learn more about multiplication visit: https://brainly.com/question/5992872

#SPJ9

\(f { }^{ - } (x) = \frac{2(x + 4)}{2 |x + 4| {}^{} } = \frac{x + 4}{ |x + 4| } \)

\( |x + 4| \: is \: always \: positive\)

\(solve \: x + 4 > 0\)

\(x > - 4\)

\(f(x) \: is \: incresing \: from \\\)

Answer:

False

Step-by-step explanation:

x ≤ - 2

the symbol ≤ ( less than or equal to ) means that x can equal - 2 and any values to the left of - 2 on the number line.

- 1 is to the right of - 2 and - 3 is to the left , so

the values represented are - 2, - 3

Answer:

? = 77°

Step-by-step explanation:

the 3 angles in a triangle sum to 180° , that is

? + 35° + 68° = 180°

? + 103° = 180° ( subtract 103° from both sides )

? = 77°

Answer:77

Step-by-step explanation:

180-103=77