Mathematics College

On a U.S. flag that is 19 feet by 10 feet, theunion is 7 5/8 feet by 5 3/8 feet. For each question, firstestimate the answer and then compute the actualpercentage.What percentage of the flag is red? For the actualpercentage round to the nearest tenth of a percent.

Answers

Answer 1

We find the total area of the flag

$A=\text{length}\cdot width=19\cdot10=190$

Total area 190 ft^2

Next, we have 13 red and white stripes that have a height of 10/13 ft.

And 3 red stripes are 19 ft by 10/13 ft. So the area for a red stripe is:

$\begin{gathered} A=19\cdot\frac{10}{13}=\frac{190}{13}=14.61 \\ \end{gathered}$

Area a red stripe 14.61 ft^2

Also, we have 4 stripes that is (19 - 7 5/8)ft by 10/13 ft. Then, the area for a stripe is:

$A=(19-7\frac{5}{8})\cdot\frac{10}{13}=(19-\frac{61}{8})\cdot\frac{10}{13}=\frac{91}{8}\cdot\frac{10}{13}=\frac{910}{104}=8.75$

Area red stripe 8.75 ft^2

Therefore, the total area of red color of the flag is

$A=3\cdot14.61+4\cdot8.75=43.83+35=78.83$

Area of the flag is red 78.83 ft^2

Finally, we find the percentage,

190 ---> 100%

78.83 --> x %

$\begin{gathered} x\cdot190=100\cdot78.83 \\ x\cdot\frac{190}{190}=\frac{100\cdot78.83}{190} \\ x=\frac{7883}{190}=41.5 \end{gathered}$

Answer: percentage of the flag is red 41.5%

Related Questions

Sample Responses Label axes according to input
and output variables. Plot the ordered pair of the
independent and dependent variable on the
coordinate plane. Identify if there is a relationship
Which of the following did you include in your
response?
O Label the x-axis the input variable, age.
O Label the y-axis the output variable, texting speed.
O Plot the points according to age and texting speed.
O Identify a relationship between the change in
texting speed as age increases.

Answers

The following elements were included in the response: labeling x-axis as age, labeling y-axis as texting speed, plotting points according to age and texting speed, and identifying a relationship between texting speed and age.

In the response, the following elements were included:

1. Labeling the x-axis as the input variable, age: This is important to indicate the independent variable being plotted.

2. Labeling the y-axis as the output variable, texting speed: This is crucial to indicate the dependent variable being represented.

3 Plotting the points according to age and texting speed: This involves placing the ordered pairs (age, texting speed) on the coordinate plane, with age values on the x-axis and texting speed values on the y-axis.

4. Identifying a relationship between the change in texting speed as age increases: By analyzing the plotted points and examining the pattern or trend, one can determine if there is a relationship between age and texting speed. For example, if the texting speed generally increases as age increases or if there is a linear or nonlinear relationship between the two variables.

Including all of these elements allows for a comprehensive analysis of the relationship between age and texting speed, providing a visual representation and enabling the identification of any patterns or trends.

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What is r squared?

A. The standard deviation

B. The correlation coefficient

C. The coefficient of determination

Answers

Answer:

is A

Step-by-step explanation:

I got it right........

Answer:

C The coefficient of determination

Step-by-step explanation:

In statistics, the coefficient of determination, denoted R² or r² and pronounced "R squared", is the proportion of the variation in the dependent variable that is predictable from the independent variable.

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

Answers

Answer:

x = 3

y = 5

Step-by-step explanation:

Since the parallelogram is just a warped square, all the sides are the same

4(3) + 3 = 12 + 3 = 15

5 x 3 = 15

3 x 5 = 15

BUT IF I'M WRONG:

I can tell you're using G.oogle Forms

You can press ctrl + U and find the answers to the questions in the code

I recommend you do this anyway

4.1 Draw the four different views of the object, as indicated below, on square grid paper. Left Back Front Right

Answers

Remember to make use of the grid paper to maintain accuracy and proportionality across all four views.

Certainly! Below is a verbal description of how you can draw the four different views of the object on square grid paper:

Left View: Start by drawing the left side of the object as you would see it from a leftward perspective.

Capture its shape, height, and any visible features. Use the grid lines to maintain proportion and accuracy.

Back View: Move to the back of the object and draw what you see from that viewpoint.

Focus on its rear-facing details, contours, and any distinguishing characteristics. Utilize the grid paper to ensure proper alignment.

Front View: Now, face the object directly and draw its front view. Pay attention to its overall shape, dimensions, and any frontal features or patterns.

Utilize the grid lines to maintain symmetry and precision.

Right View: Finally, position yourself on the right side of the object and draw its appearance from that angle.

Portray the right-facing side, capturing its unique attributes and maintaining consistency with the previous views.

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Which linear inequality is graphed with y >x-2 to
create the given solution set?
Oy>x+1
O y Oy>x-1
O y

Answers

The inequality y > x - 2, plotting the inequality using geogebra online graphing tool, the solution is attached.

Inequality

Inequality is an expression that is used to show the non equal comparison of two or more numbers and variables.

Given the inequality y > x - 2, plotting the inequality using geogebra online graphing tool, the solution is attached.

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The inequality region is represented by the inequality y < x + 1.

We have to given that,

To find the inequality set which is graphed with y > –x – 2 to create the given solution set.

Now, One of the line is having the y intercept -2 and slope -1 having the equation y = -x -2.

Since, The shaded region is having the inequality y>-x-2.

The other line is having the y intercept 1 and slope of 1.

Hence equation of line is,

⇒ y = x + 1.

And, The shaded part is above the line .

Hence, The inequality region is represented by the inequality y < x + 1.

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Complete question is,

Which linear inequality is graphed with y > –x – 2 to create the given solution set?

A=y > x + 1

B=y < x – 1

C=y > x – 1

D=y < x + 1

Which linear inequality is graphed with y >x-2 tocreate the given solution set?Oy>x+1O yOy>x-1O

The picture below has got me stuck

Answers

Answer:

X=42

Step-by-step explanation:

when the question says that ABCD ~ EFGH that's just saying that they are equal.

AB = 16 FE = 10 the first shape has sides that are 6 longer than the second shape.

next, to find X in FG, it's going to be BC - 6 = X - 4 = FG (aka 30 - 6 = 42 - 4 = 20).

i hope thought this out right for you, and hope that helps. :)

Find the quotient of 10^-4/10^2

Answers

The quotient of 10⁻⁴/10² is 10⁻⁶

How to Find the quotient of 10⁻⁴/10²?

Quotient is the result obtained by dividing one quantity by another. It represents the value that is obtained after division.

For example, if you divide 20 by 2, the quotient is 10 because 20 divided by 2 equals 10.

Division law states that:

10ᵃ / 10ᵇ = 10ᵃ⁻ᵇ

In this case have:

10⁻⁴/10² = 10⁻⁴⁻² (Division law)

10⁻⁴/10² = 10⁻⁶

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The mean height of the students in a class is 152 cm. The mean height of boys is 158 cmwith a standard deviation of 5 cm. And the mean height of girls is 148 cm with a standarddeviation of 4 cm. Find the percentage of boys in the class and also the S.D of heights of allthe students in the class?

Answers

The percentage of boys in the class and also the standard deviation of heights of all the students in the class are 78% and 9 cm respectively

How to find the percentage of boys in the class?

Percentage of the boys in the class deals with a ratio of the boys to the number of students in the class

The given parameters that will help us to get the percentage are

Mean height of the class = 152 cm

Mean height of the boys = 158 cm

The standard deviation of the boys = 5 cm

Mean height of the girls = 148 cm

Standard deviation of the girls = 4 cm

(1) The percentage of boys in the class is

Total mean height = 158 +148 = 306

Percentage = 158/306 * 100 = 51.6%

Then the percentages 51.6/100 * 152 = 78%

(2) The total standard deviation of all the students

Boys + girls = 5+4 = 9 cm

Therefore, the percentage of boys in the class and also the standard deviation of heights of all the students in the class are 78 students and 9 cm respectively

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selling price of a $23 pair of shorts with a 6.8% sales tax.

Answers

Answer:

yes it is 24.56 all you have to do is add 23.00 plus 6.8% that gives you 24.564 but since there is a 4 after the 6 and its lower than 5 it goes to 56 and not 57

How much does the airplane weigh if it is carrying 66 gallons of fuel? PLEASE ANSWER WITH CORRECT ANSWER PICTURE INCLUDED

Answers

The weight of the plane when there is 66 gallons of fuel in it is 2,529 lb.

What is the weight of the plane?

A linear function is a function that when drawn on a coordinate plane, it is a straight line. A linear function is made up of a single variable that is raised to the power of one.

If the weight of the plane is a linear function, it means that the weight of the plane increases at a constant rate.

The first step is to determine the rate of increase in the weight of the plane: (2451 - 2230) / (54 - 20) = 6.5 lb

The second step is to determine the weight of the plane when there is no fuel in it:

2451 - (6.5 x 54) = 2100 lb

Weight of the plane when there is 66 gallons of fuel in it : 2100 + (6.5 x 66) = 2,529 lb

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Find the midpoint of the line segment.

Answers

Answer:

-2,-3

Step-by-step explanation:

What is the y-intercept of y = –3x + 6?

Answers

The Answer Is -3(x-2)

(0,6) is the y intercept !

Use what you know about intersecting lines to label the missing and
picture below.
35°
X
type of angle pair:
zoom in
X =
OManeuvering the Middle LLC, 2016, 2022

Answers

Answer:

x = 145

Step-by-step explanation:

x and 35° lie on a straight line and are supplementary angles , sum to 180°

x + 35 = 180 ( subtract 35 from both sides )

x = 145

A force of 200n is inclined at an angle of 120° to another force P. The angle between the 200n force and the resultant force is 50°. Find the magnitude of the force P and the resultant of the two force.?

Answers

Answers:

Magnitude of force P = 163.041494

Magnitude of resultant force = 184.320997

Values are approximate. Units are in newtons.

====================================================

Explanation:

Let for P be pulled directly to the east. The vector for this force is <x, 0> where x is positive.

The 200 newton force has the vector <200*cos(120), 200*sin(120)>

The resultant vector is <x+200*cos(120),200*sin(120)>. Each component is the sum of the corresponding components of <x,0> and <200*cos(120), 200*sin(120)>

The resultant vector is also <r*cos(70),r*sin(70)>. Note how 70+50 = 120. The 50 degree angle is known, so we effectively do 120-50 = 70 to find the angle of the resultant vector with the positive x axis.

------------------------------

The resultant vector expressions we found were

<r*cos(70),r*sin(70)><x+200*cos(120),200*sin(120)>

Equate the y components of each resultant vector expression. Solve for r

r*sin(70) = 200*sin(120)

r = 200*sin(120)/sin(70)

r = 184.320997021376

Make sure your calculator is in degree mode.

Let's round this r value to 6 decimal places to simplify things a bit

r = 184.320997

------------------------------

Now equate the x components of each resultant vector expression, plug in the r value we found, and solve for x

x+200*cos(120) = r*cos(70)

x+200*cos(120) = 184.320997*cos(70)

x = 184.320997*cos(70) - 200*cos(120)

x = 163.041494

this value is approximate just like r is as well

------------------------------

The magnitude of force P is

magnitude = sqrt(x^2+y^2)

magnitude = sqrt(x^2+0^2)

magnitude = sqrt((163.041494)^2+0^2)

magnitude = 163.041494

Which is equal to the x value. This applies because y = 0.

-----------------------------

The magnitude of the resultant is r = 184.320997 which we found earlier

3. Aşağıda verilen çıkarma işleminde bazı rakamların yerine semboller kullanılmıştır.
4 318
3 2*
4 1 A6
Buna göre, bu sembollerin yerine yazılması gereken rakamlar için (1+A)** işlemi-
nin sonucu kaçtır?
A) 28
B) 30
C) 55
D) 63
g
ANK-0502

Answers

Answer:

thr answers are A and D of the question

Find the values of x, y, z, A, and B in the image below. List the facts that both triangles have 90° angles and that the triangles are similar. What is the value of A and B in degrees? What is the measure of y and z?

Answers

Answer:

$\begin{gathered} A=36.87\text{\degree} \\ B=53.13\text{\degree} \\ x=12 \\ y=10.15 \\ z=6.25 \end{gathered}$

Step-by-step explanation:

First, we'll work on the triangle that's on the left side. We'll find the values of A,B and x.

Using the law of sines, we'll have that:

$\frac{\sin(90)}{15}=\frac{\sin(A)}{9}$

Solving for A,

$\begin{gathered} \frac{\sin(90)}{15}=\frac{\sin(A)}{9} \\ \\ \rightarrow\sin(A)=\frac{9\sin(90)}{15} \\ \\ \rightarrow\sin(A)=\frac{3}{5} \\ \\ \rightarrow A=\sin^{-1}(\frac{3}{5}) \\ \\ \Rightarrow A=36.87\text{\degree} \end{gathered}$

Now, since we know that the sum of the interior angles of a triangle is 180°, we'll have that:

$\begin{gathered} 90+A+B=180 \\ \rightarrow B=180-A-90 \\ \rightarrow B=180-36.87-90 \\ \\ \Rightarrow B=53.13\text{\degree} \end{gathered}$

Using the law of sines again, we'll get that:

$\frac{x}{\sin(B)}=\frac{15}{\sin(90)}$

Solving for x,

$\begin{gathered} \frac{x}{\sin(B)}=\frac{15}{\sin(90)} \\ \\ \rightarrow x=\frac{15\sin(B)}{\sin(90)}\rightarrow x=\frac{15\sin(53.13)}{\sin(90)} \\ \\ \Rightarrow x=12 \end{gathered}$

Now, we'll work on the triangle that's on the right side. We'll find the values of y and z.

Since this is a right triangle (it has a 90° angle), we can say that:

$\cos(38)=\frac{8}{y}$

Solving for y,

$\begin{gathered} \cos(38)=\frac{8}{y}\rightarrow y\cos(38)=8\rightarrow y=\frac{8}{\cos(38)} \\ \\ \Rightarrow y=10.15 \end{gathered}$

We can also state that:

$\tan(38)=\frac{z}{8}$

Soving for z,

$\begin{gathered} \tan(38)=\frac{z}{8}\rightarrow z=8\tan(38) \\ \\ \Rightarrow z=6.25 \\ \end{gathered}$

This way, we can conclude that:

$\begin{gathered} A=36.87\text{\degree} \\ B=53.13\text{\degree} \\ x=12 \\ y=10.15 \\ z=6.25 \end{gathered}$

Match each function with the correct translation of the parent function f(x) = x.
160=1x1-4
f(x) = (x+4)
fx)=p+4
0
00
vertical translation down 4 units
horizontal translation right 4 units
horizontal translation left 4 units
vertical translation up 4 units

Answers

It is possible to translate the parent function f(x) = x using various transformations including vertical and horizontal translations. Each transformation will result in
the graph intersecting the x- or y-axis at a different point.

What is function?

Function is an operation that takes an input, performs some processing on it, and returns a result. It is a set of instructions that performs a specific task. Functions are typically used to perform repetitive tasks, like finding the sum of two numbers, adding two strings together, or finding the maximum of a list of numbers. Functions are essential to programming and can be used to make code more organized, reusable, and efficient.

The function f(x) = x is the parent function for linear equations. This equation is generally used to graph a line with a slope of 1 and a y-intercept of (0, 0). In order to translate this parent function, different transformations are applied to it.

A vertical translation down 4 units would be represented by the equation f(x) = x - 4. This transformation would shift the graph of the parent function down 4 units on the y-axis. This would result in the graph intersecting the y-axis at the point (0, -4).

A horizontal translation right 4 units would be represented by the equation f(x) = x + 4. This transformation would shift the graph of the parent function right 4 units on the x-axis. This would result in the graph intersecting the x-axis at the point (4, 0).

A horizontal translation left 4 units would be represented by the equation f(x) = x - 4. This transformation would shift the graph of the parent function left 4 units on the x-axis. This would result in the graph intersecting the x-axis at the point (-4, 0).

Finally, a vertical translation up 4 units would be represented by the equation f(x) = x + 4. This transformation would shift the graph of the parent function up 4 units on the y-axis. This would result in the graph intersecting the y-axis at the point (0, 4).

In conclusion, it is possible to translate the parent function f(x) = x using various transformations including vertical and horizontal translations. Each transformation will result in the graph intersecting the x- or y-axis at a different point.

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What is 2/3 - 2/5 =

Answers

Answer:

2/3 - 2/5 = 4/15

Step-by-step explanation: 2/3 x 5/5 = 10/15 2/5 x 3/3 = 6/15

Hope this helps!

What is the common ratio of the geometric sequence?

Number graph ranging from zero to ten on the x axis and zero to twenty-eight on the y axis. Points are plotted on the graph at (one, eight), (two, twelve), (three, eighteen) and (four, twenty-six point five). The points form a general positive trend.

Answers

A geometric series is one in which there is a constant between two successive numbers in the series.

What is geometric progression?

When there is a constant between the two successive numbers in the series then it is called a geometric series. In other words, every next term is multiplied by that constant term to form a geometric progression.

The sequence in which every next number is the addition of the constant quantity in the series is termed the arithmetic progression

Suppose the series is given as

2,4,8,16,32,64.........

The common difference is defined as the ratio of the next term to the previous term.

From the above series, the common ratio is calculated as,

Common ratio = 4 / 2

Common ratio = 2

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Which set of equations has (-4,1) as its solution?
A and B
B and D
A and C
B and C

Answers

The set of equations that has (-4,1) is A and C

the daily totals of enrollments at sunny side daycare last monday through saturday were 17, 19, 23, 14, 25, and 28

Answers

The average number of enrollments per day at the Sunnyside Daycare is 21.

What is an average?

An average is a result obtained by summing some numerical values and then dividing the total by the number of values or variables.

An average is the mean, which is one of the central tendency values.

Data and Calculations:

Day Number of Enrollments

Monday 17

Tuesday 19

Wednesday 23

Thursday 14

Friday 25

Saturday 28

Total = 126

Average enrollments = 21 (126/6)

Thus, the average number of enrollments per day at the Sunnyside Daycare is 21.

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Question Completion:

What was the average number of enrollments per day?

simplify √([2m5z6]/[ xy])

Answers

The simplified form of √([2m5z6]/[xy]) is (√2m√5z√6) / (√x√y).

To simplify the expression √([2m5z6]/[xy]), we can break it down step by step:

Simplify the numerator:

√(2m5z6) = √(2) * √(m) * √(5) * √(z) * √(6)

= √2m√5z√6

Simplify the denominator:

√(xy) = √(x) * √(y)

Combine the numerator and denominator:

√([2m5z6]/[xy]) = (√2m√5z√6) / (√x√y)

Thus, the simplified form of √([2m5z6]/[xy]) is (√2m√5z√6) / (√x√y).

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Lily owns a spunky German Sheppard named Max. Max went viral last year when she posted a meme of him known as “Max the Boss Dog”. Lily thought it would be a great idea to license the meme. Now every time the meme is shared, she receives $0.16 in royalties. If the Max meme was shared 88 times last week, how much money did Lily earn in royalties?

Answers

Lily earned $0.16 in royalties each time the Max meme was shared, and it was shared 88 times last week. To calculate the total amount of money earned in royalties, we can multiply the number of shares by the royalty amount per share:

Earnings = Number of shares * Royalty amount per share
Earnings = 88 * $0.16
Earnings = $14.08

So Lily earned $14.08 in royalties last week.

HELP 10 MIN LEFT!!!!

Answers

Answer:

To one decimal place,

y = 16.3 m

Step-by-step explanation:

Using SOHCAHTOA,

In this case we need to use CAH,

WE know the angle = 25 and the hypotenuse H = 18,

so,

y = adjacent

$cos(angle) = y/H\\y = (18)(cos(25))\\y = 16.3135\\y = 16.3$

Answer: 16.3 in.

Step-by-step explanation:

use SOH CAH TOA

cos x = adj/hyp

cos 25 = y/18

18 cos 25 = y

y= 16.3

Which is misleading about the data shown on the figure?
Number of members
Look at the photo

Answers

The misleading about the data shown on the figure is the clas width

Which is misleading about the data shown on the figure?

From the question, we have the following parameters that can be used in our computation:

The histogram

On the histogram, we have the following readings

1 - 2021 - 3031 - 4546 - 65

From the above, we can see that

The above readings are not consistent i.e. the class widths are not equal

Hence, the misleading about the data shown on the figure is the clas width

Answers

Answer:

$62.50

Explanation:

In the box:

The total number of prizes = 4

• The number of prizes worth $4 = 2

• The number of prizes worth $17 = 1

• The number of prizes worth $225= 1

Let X be a random variable representing the prize amount.

• X=4,17,225

First, we determine the probability of selecting each of the prizes.

$\begin{gathered} \text{P(X= \$}4)=\frac{2}{4} \\ \text{P(X=\$17})=\frac{1}{4} \\ \text{P(X=\$225})=\frac{1}{4} \end{gathered}$

Next, we calculate the expected value for the game.

We calculate the expected value by multiplying the probability of each prize by the prize and adding them up.

$\begin{gathered} \text{Expected Value}=\sum xP(x) \\ \text{=(}\$4\times\frac{2}{4})+\text{(}\$17\times\frac{1}{4})+\text{(}\$225\times\frac{1}{4})\text{=}\$2+\$4.25+\$56.25 \\ =\$62.50 \end{gathered}$

The expected value is $62.50.

Therefore, it is reasonable to set the fair price for this game at $62.50.

HELP ME PLEASE! DUE TODAY
NUMBER 14
file:///C:/Users/rmadh/Downloads/Geo%20Unit%208%20Test%20(1).pdf

Answers

Answer:

Sorry it did not load

Step-by-step explanation:

Answer:

the file includes stragetic sth

Step-by-step explanation:

10. A pipe whose diameter measures 1 1/4 inches should have less threads per inch than a pipe with a diameter of _______ inch.
A. 3
B. 1/2
C. 1
D. 11/2

Answers

A pipe whose diameter measures 1 1/4 inches should have less threads per inch than a pipe with a diameter of 11/2 inch. So, the correct answer is (D).

To determine the correct answer, we need to compare the diameters of the two pipes and understand the relationship between pipe diameter and threads per inch.

The number of threads per inch generally decreases as the pipe diameter increases. This means that a larger pipe diameter will have fewer threads per inch compared to a smaller pipe diameter.

Given that the first pipe has a diameter of 1 1/4 inches, we need to find the pipe diameter from the options that is larger than 1 1/4 inches.

The option that meets this requirement is D. 11/2. This represents a pipe diameter of 1 1/2 inches. Therefore, a pipe with a diameter of 1 1/2 inches should have fewer threads per inch than a pipe with a diameter of 1 1/4 inches. Therefore, the correct answer is D. 11/2.

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Write each as an algebraic expression
1) the difference of 10 and 5
3) u decreased by 17
5) x increased by 6
7) the sum of q and 8
9) twice q
11) the quotient of 18 and n

Answers

Hope it is useful!!

Write each as an algebraic expression 1) the difference of 10 and 53) u decreased by 175) x increased

a Tailor cut a 1/3 yard long strip of cloth into 6 pieces for a project witch equation can be used to find the length of each piece of cloth that the Taylor cut

Answers

a Tailor cut a 1/3 yard long strip of cloth into 6 pieces for a project witch equation can be used to find the length of each piece of cloth that the Taylor cut

step 1

Divide 6 by 1/3

6/(1/3)=18 pieces

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