a certain number was multiplied by 3. then, this product was divided by 10.2. finally, 12.4 was subtracted from this quotient, resulting in a difference of -8.4. what was this number

Answers

Answer 1
A certain number was multiplied by 3. then, this product was divided by 3. Finally, 5 was subtracted from this quotient, resulting in a ...
Answer 2

Answer:

13.6

Step-by-step explanation:

[tex] \frac{3x}{10.2} - 12.4 = - 8.4[/tex]

[tex] \frac{3x}{10.2} = 4[/tex]

[tex]3x = 40.8[/tex]

[tex]x = 13.6[/tex]


Related Questions

10 ptsQuestion 3Find the measure of each interior angle. Round to the nearest hundredth.4x(6x - 90)(3x + 31)(7x+19)X=(4x)" =(6x - 90)(7x + 19)° =(3x + 31)º =

Answers

Alexandre, this is the solution:

Let's recall that the interior angles of a rhombus add up to 360 degrees.

Upon saying that, we have:

4x + 3x + 31 + 6x - 90 + 7x + 19 = 360

20x - 40 = 360

Adding 40 at both sides:

20x - 40 + 40 = 360 + 40

20x = 400

Dividing by 20 at both sides:

20x/20 = 400/20

x = 20

Now, we can calculate each of the angles and prove they add up to 360 degrees, as follows:

• 4x = 4 * 20 =, 80

,

• 3x + 31 = 3 * 20 + 31 = 60 + 31 =, 91

,

• 7x + 19 = 7 * 20 + 19 = 140 + 19 = ,159

,

• 6x - 90 = 6 * 20 - 90 = 120 - 90 = ,30

80 + 91 + 159 + 30 = 360

all you need is in the photo I DON'T WANT STEP BY STEP ANSWER FAST please fdsd

Answers

We have the following:

[tex]\begin{gathered} x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a} \\ a=5 \\ b=0 \\ c=-80 \end{gathered}[/tex]

replacing:

[tex]\begin{gathered} x=\frac{-0\pm\sqrt[]{0^2-4\cdot5\cdot-80}}{2\cdot5}=\frac{\pm\sqrt[]{1600}}{10}=\frac{\pm40}{10}=\pm4 \\ x_1=4 \\ x_2=-4 \end{gathered}[/tex]

Evaluate h(x) at x = 6, x = 8, and x= 12. h(x)=1.31^×

Answers

Answer : h(6) = 5.054

h(8) = 8.673

h(12) = 25.542

Given that h(x) = 1.31^x

[tex]\begin{gathered} h(x)=1.31^x \\ \text{ find the value of h(6) when x = 6} \\ h(6)=1.31^6 \\ h(6)\text{ = 5.05}4 \\ \text{when x = 8} \\ h(8)=1.31^8 \\ h(8)\text{ = 8.67}3 \\ \text{when x = 12} \\ h(12)=1.31^{12} \\ h(12)\text{ = 25.54}2 \end{gathered}[/tex]

Therefore,

h(6) = 5.054

h(8) = 8.673

h(12) = 25.542

A convenience store manager notices that sales of soft drinks are higher on hotter days, so he assembles the data in the table. (a) Make a scatter plot of the data. (b) Find and graph a linear regression equation that models the data. (c) Use the model to predict soft-drink sales if the temperature is 95°F.

Answers

ANSWER and EXPLANATION

a) First we have to make a scatter plot. We do this by plotting the calues of High Temperature on the x axis and Number of cans sold on the y axis:

b) We want to find and graph the linear regression equation that models the data.

The linear regression equation will be in the form:

y = a + bx

[tex]\begin{gathered} \text{where} \\ a\text{= }\frac{(\sum ^{}_{}y)(\sum ^{}_{}x^2)\text{ - (}\sum ^{}_{}x)(\sum ^{}_{}xy)}{n(\sum ^{}_{}x^2)\text{ }-\text{ (}\sum ^{}_{}x)^2} \\ \text{and b = }\frac{n(\sum ^{}_{}xy)\text{ - (}\sum ^{}_{}x)(\sum ^{}_{}y)}{n(\sum ^{}_{}x^2)\text{ }-\text{ (}\sum ^{}_{}x)^2} \end{gathered}[/tex]

We have from the question that:

x = High Temperature

y = Number of cans added

So, we have to find xy and x^2. We will form a new table:

Now, we will find a and b:

[tex]\begin{gathered} a\text{ = }\frac{(4120)(39090)\text{ - (}554)(297220)}{8(39090)\text{ }-554^2} \\ a\text{ = }\frac{\text{ 161050800 - 164659880}}{312720\text{ - 306916}} \\ a\text{ = }\frac{-3609080}{5804} \\ a\text{ }\cong\text{-62}2 \end{gathered}[/tex][tex]\begin{gathered} b\text{ = }\frac{8(297220)\text{ - (554})(4120)}{5804} \\ b\text{ = }\frac{2377760\text{ - 2282480}}{5804} \\ b\text{ = }\frac{95280}{5804} \\ b\text{ }\cong\text{ 16} \end{gathered}[/tex]

Therefore, the linear regression equation is:

y = -622 + 16x

Now, let us graph it using values of x (High Temperature):

That is the Linear Regression Graph.

c) To predict soft drink sales if the temperature is 95 degrees Farenheit, we will put the x value as 95 and find y. That is:

y = -622 + 16(95)

y = 898

The model predicts that 898 cans of soft drinks will be sold when the High Temperature is 95 degrees Farenheit.

Write these numbers from least to greatest: 0, -6.1, 4, 10/2

Answers

Answer:

10/2, 4, 0, -6.1

Step-by-step explanation:

It is the only answer that makes sense.

pls mark brainliest

Answer: -6.1, 0, 4 , 10/2

Step-by-step explanation:

-6.1 is the only negative number, so it is the least. Zero comes next. 10/2 is 5, so 4 comes before it. Therefore 4 is the 3rd installment in these ordered numbers.

question: determine whether the function is one-to-one. If it is sketch the graph of its inverse.i already found out it is a one-to-one, i just don't know how to graph its inverse

Answers

The inverse function of f(x) = y is f(y) = x

This means, switch the coordinates of the points of the graph

If we choose a point on the given graph like (5, 3) it will be (3, 5) in the inverse function

Also, point (-5, -3) it will be (-3, -5) in the inverse function

You can plot them with point (0, 0) and draw the curve

Let me try to show it

It will be like that

Evaluate the expression shown below and write your answer as a fraction in
simplest form.
-3/8+(-9/10)

Answers

Answer:

-1 11/40

Step-by-step explanation:

-51/40 this is simplest form.

Step-by-step explanation:

How far is the girl from the monument that is 30 ft high? Round your answer to a nearest foot. Show your work.

Answers

Given:

The diagram is shown alongside.

The height of the monument is 30 ft high.

The angle of elevation is 63 degrees

The objective is to find the distance between the monument and where the girl is standing.

Since it forms a right angled triangle so we can apply trigonometric ratios:

Now,

[tex]\tan 63^{\circ}=\frac{perpendicular}{\text{base}}[/tex]

Perpendicular = 30 ft

Base = ?

Substituting the values,

[tex]\begin{gathered} \tan 63^{\circ}=\frac{30}{\text{base}} \\ \text{Base}=\frac{30}{\tan63^{\circ}} \\ \text{base}=\frac{30}{1.962610} \\ \text{base}=15.285767422\text{ ft} \end{gathered}[/tex]

Therefore, the girl is at a distance of 15 ft from the monument.

if sound travels at 335 miles per second through air and a plane is 2680 miles away how long will the sound take to reach the people

Answers

It will take 8 seconds for the sound to reach the people

Here, we want to calculate time

Mathematically;

[tex]\begin{gathered} \text{time = }\frac{dis\tan ce}{\text{speed}} \\ \end{gathered}[/tex]

With respect to this question, distance is 2680 miles while speed is 335 miles per second

Substituting these values, we have;

[tex]\text{time = }\frac{2680}{335}\text{ = 8}[/tex]

The annual rainfall in a town has a mean of 54.11 inches and a standard deviation of 12.59 inches. Last year there was rainfall of 48 inches. How many standard deviations away from the mean is that? Round your answer to two decimal places.

Answers

SOLUTION

Mean=54.11, standard deviation = 12.59

X=48

Using the z formula

[tex]z=\frac{x-\mu}{\sigma}[/tex]

Substituting values gives

[tex]z=\frac{48-54.11}{12.59}[/tex]

Solve for z

[tex]z=-0.4853[/tex]

This shows that the result shows that the value x=48 is 0.4853 standard deviation to the left of the mean.

A company charges $7 dor a t-shirt and ships any order for $22 a school principal ordered a number of t-shirts for the school store the total cost of the order was 1,520 how many t-shirts did the principal buy

Answers

the equation is

[tex]7x+22=1520[/tex]

then solve for x

[tex]\begin{gathered} 7x+22-22=1520-22 \\ 7x=1498 \\ \frac{7x}{7}=\frac{1498}{7} \\ x=214 \end{gathered}[/tex]

answer: the principal bought 214 t-shirts

after a translation 8 units left

Answers

The given transformation is 8 units left.

The pre-image vertices are A(1,-4), B(1,-6), C(5,-6), and D(5,-4).

Using the transformation, we have:

[tex]\begin{gathered} A^{\prime}(1-8,-4)=A^{\prime}(-7,-4) \\ B^{\prime}(1-8,-6)=B^{\prime}(-7,-6) \\ C^{\prime}(5-8,-6)=C^{\prime}(-3,-6) \\ D^{\prime}(5-8,-4)=D^{\prime}(-3,-4) \end{gathered}[/tex]

The image below shows the graph of the image

You are a landscaper working on the design of a parking lot in a new shopping center. You are measuring the length of a grass median that will be exactly as long as four parking spots and their dividing lines. One of these spots is a handicapped spot, which is 1018 feet wide and next to the curb. The other three spots are 838 feet wide. There are four dividing lines between the spots, and each measures 18 foot. What is the length of the grass median, D?

Answers

SOLUTION

From the given information:

one of the spots is

[tex]10\frac{1}{8}ft[/tex]

Other three spots are

[tex]8\frac{3}{8}ft\text{ wide}[/tex]

There are four dividing line of

[tex]\frac{1}{8}\text{foot}[/tex]

The total length of the grass median is:

[tex]10\frac{1}{8}+3(8\frac{3}{8})+4(\frac{1}{8})[/tex]

Calculate the value

[tex]\begin{gathered} \frac{81}{8}+3(\frac{67}{8})+\frac{4}{8} \\ =\frac{81}{8}+\frac{201}{8}+\frac{4}{8} \\ =\frac{81+201+4}{8} \\ =\frac{286}{8} \end{gathered}[/tex]

Reduce the fraction

[tex]\frac{286}{8}=35\frac{6}{8}=35\frac{3}{4}[/tex]

Therefore the length of the grass median is

[tex]35\frac{3}{4}[/tex]

Which table shows a proportional relationship between miles traveled and gas used?




Miles Traveled Gas Used
27.3 mi 1.5 gal
49.16 mi 3.8 gal

Miles Traveled Gas Used
120 mi 6.2 gal
180 mi 12.2 gal

Miles Traveled Gas Used
135 mi 7.4 gal
135.5 mi 7.9 gal

Miles Traveled Gas Used
270 mi 15 gal
135 mi 7.5 gal

Answers

Answer:

D

Step-by-step explanation:

270mi 15gal

135mi 7.5gal

135/270=0.5
7.5/15=0.5

or

135/7.5=18
270/15=18

On December 13, 2007, one South African rand was worth 0.15 U.S. dollars.(a) On that date, how many rand was 44.11 dollars worth?Round your answer to the nearest hundredth of a rand.rand(b) On that date, how many dollars was 168.18 rand worth?Round your answer to the nearest hundredth of a dollars. I need help with this math problem.

Answers

Explanation

Part A

Given that one South African rand was worth 0.15 U.S. dollars. 44.11 dollars will be worth

[tex]\frac{44.11}{0.15}=294.07[/tex]

Answer: 294.07 rands

Part B

On that date, how many dollars was 168.18 rand worth?

[tex]168.18\times0.15=25.23[/tex]

Answer: 25.23 dollars

JCPenney sells jeans for $49.50 that cost $38.00. What is the percent markup on cost? Check the cost. (Round your answer to the nearest hundredth percent.)

Answers

The percent mark up on the cost is 30.26%.

How to find the percent mark-up on cost?

JCPenney sells jeans for $49.50 that cost $38.00.

The percent mark up can be calculated as follows:

Mark up percentage is calculated by dividing the gross profit of a unit by the cost of that unit.

In other words, Mark-up percentage is the difference between a product's selling price and cost as a percentage of the cost.

Hence,

selling price = $49.50

cost price = $38.00

mark up = 49.50 - 38 = 11.5

Therefore,

percent mark up = 11.5 / 38 × 100

percent mark up = 1150 / 38

percent mark up = 30.2631578947

Therefore,

percent mark up = 30.26%

learn more on percent mark up here: brainly.com/question/12284542

#SPJ1

Based on a recent study, the pH level of the arterial cord (one vessel in the umbilical cord) is normally distributed with mean 7.38 and standard deviation of 0.14. Find the percentageof preterm infants who have the following arterial cord pH levels.a. pH levels between 7.00 and 7.50.b. pH levels over 7.46A.The percentage of arterial cord pH levels that are between 7.00 and 7.50 is ____%.(Round to two decimal places as needed.)B.The percentage of arterial cord pH levels that are over 7.46 is ___%.(Round to two decimal places as needed.)

Answers

We have the pH level as a random normal variable with mean 7.38 and standard deviation of 0.14.

A) We have to calculate the percentage of infants that are expected to have pH levels between 7.00 and 7.50.

We can approximate this as the probability of selecting a random infant and it has a pH level within this interval.

Then, to calculate the percentage we will use the z-scores for each boundary of the interval:

[tex]z_1=\frac{X_1-\mu}{\sigma}=\frac{7-7.38}{0.14}=\frac{-0.38}{0.14}\approx-2.7143[/tex][tex]z_2=\frac{X_2-\mu}{\sigma}=\frac{7.5-7.38}{0.14}=\frac{0.12}{0.14}\approx0.8571[/tex]

Then, we can use the standard normal distribution to look for the probabilities for each z-score and calculate the probability as:

[tex]\begin{gathered} P(7.00Given that the probability is 0.80099, we can express the percentage as:[tex]P=0.80099\cdot100\%=80.01\%[/tex]

B) We now have to calculate the percentage that is above 7.46.

We start by calculating the z-score as:

[tex]z=\frac{X-\mu}{\sigma}=\frac{7.46-7.38}{0.14}=\frac{0.08}{0.14}\approx0.571428[/tex]

Then, we can calculate the probability as:

[tex]P(X>7.46)=P(z>0.571428)\approx0.28385[/tex]

This correspond to a percentage of 28.39%.

Answer:

A) 80.01%

B) 28.39%

point).
Questions
1. (1) How many observations are collected? (2) How many variables are collected? (3) write
I
down quantitative variables (4) write down qualitative variables
2. Describe the data visually
2.1.(1) Make a frequency tables and histogram for the “Hour” variable (bin limit = 1), and (2)
describe the shapes of the histogram
2.2.(1) Make a frequency tables and histogram for the “Type” variable, and (2) prepare a 2-D
pie chart and write down the title of chart
2.3.(1) Make a frequency tables and histogram for the “Weekday” variable, and (2) prepare a 2-
D pie chart and write down the title of chart
2.4.(1) Make a frequency tables and histogram for the “Location” variable, and (2) prepare a 2-D
pie chart and write down the title of chart
2.5.(1) Make a scatter plot of the data for the “Time” and “Hour variables, placing “Hour" on the
X-axis and "Time" on the Y-axis. Add titles and modify the default colors, fonts, etc., to make
the scatter plot easy to understand. (2) Describe the relationship (if any) between X and Y.
Weak? Strong? Negative? Positive? Linear? Nonlinear?
2.6.(1) Make a dot plot of the “Hour" variable for the “Deposit Type" variable. (2) Make a dot
plot of the "Hour" variable for the "Withdraw Type” variable. (3) Compare the shapes of both
charts

Answers

1). 68 observations

1.2) 8 variables

1.3) Quantitative Variables: Type, Time, Date, DayCode, Hour, and Amount

1.4) Qualitative Variables: Location, Weekday

Question 1) Let's examine that table to find out the number of collected observations. Counting each row, we have 68 observations. Each one informing the type, time, date, day code, weekday, Location, Hour, and Amount

1.2) We have then 8 variables namely (type, time, date, day code, weekday, Location, Hour, and Amount)

1.3) The Quantitative Variables are the ones whose entries are numerical, so examining then we can state that:

Type, Time, Date, DayCode, Hour, and Amount each and every one of them receives a numerical entry.

1.4) Qualitative or Categoricals variables are the ones whose entry is not a numerical one. So we can enlist the following ones as Qualitative:

Location

Weekday

Hence the answers are:

1). 68 observations

1.2) 8 variables

1.3) Quantitative Variables: Type, Time, Date, DayCode, Hour, and Amount

1.4) Qualitative Variables: Location, Weekday

A rectangular vegetable garden will have a width that is 3 feet less than the length, and an area of 54 square feet. If x
represents the length, then the length can be found by solving the equation:
x(x-3) = 54
What is the length, x, of the garden?
The length is
feet.
The solution is?

Answers

To determine the length of the rectangular flower garden, we need to derive equations from the given measurements and relations. The given measurements are the area, and the relation of the width and the length. From these, we generate the equation needed. We do as follows:

Area = Length x Width

where length = x ft

          width = x - 3 ft

          area = 54 ft^2

54 ft^2 = x ft (x -3) ft

54 ft^2 = x^2 - 3x ft^2

Solving for the value of x, we will have two values which are

x = -6 ft ( NOTE: this value can't be the answer since we cannot have a negative value for the length)

x = 9 ft = length

What is the slope of this line? :(

Answers

Answer:

y=1/4x+1

Step-by-step explanation:

Answer:

m=1/4

Step-by-step explanation:

Got it correct

Below, the two-way table is given for aclass of students.Freshmen Sophomore Juniors Seniors TotalMale 462. .Female 33246TotalIf a student is selected at random, find theprobability the student is a junior. Roundto the nearest whole percent.

Answers

The final answer is: 27%

We are asked to find the probability that a student chosen at random is a junior. This requires that we know the total number of students in each level from Freshmen to Seniors.

Totals:

Freshmen = 4 + 3 = 7

Sophomore = 6 + 4 = 10

Juniors = 2 + 6 = 8

Seniors = 2 + 3 = 5

Thus we can calculate the total number of students considered:

7 + 10 + 8 + 5 = 30 students in total.

Now we can calculate the probability as:

[tex]\begin{gathered} P(\text{choosing juniors) = }\frac{Number\text{ of Juniors}}{\text{Total Number of Students}} \\ \end{gathered}[/tex]

The number of Juniors was calculated earlier as: Juniors = 8

We have the total number of students as 30

Therefore, we can solve:

[tex]P(\text{choosing juniors)=}\frac{8}{30}=\frac{4}{15}[/tex]

But we were asked to round to the nearest whole percent, which means we are required to put the fraction into percentage.

The way we do this is to multiply the fraction by 100%

[tex]\begin{gathered} \frac{4}{15}\times100=26.6667. \\ \\ \therefore P(\text{choosing juniors)=27\% (to the nearest whole percent)} \end{gathered}[/tex]

Therefore the final answer is: 27%

0.25(60) + 0.10x = 0.15(60 + x)

Answers

Answer: X = 120

Step-by-step explanation:
lol:
V = (−∞,∞)
X = 120

find the volume and total surface area of a right circular cone whose base diameter is 10 cm and whose altitude is 20 cm.

Answers

SOLUTION

Given the question in the question tab, the following are the solution steps to calculate the required measurements.

Step 1: write the given parameters

[tex]\begin{gathered} \text{diameter}=10\operatorname{cm},\text{altitude}=\text{height}=20\operatorname{cm} \\ r=\frac{d}{2}=\frac{10}{2}=5\operatorname{cm} \end{gathered}[/tex]

Step 2: Calculate the volume of the right circular cone

[tex]\begin{gathered} V=\frac{\pi r^2h}{3} \\ V=\frac{\pi\times5\times5\times20}{3} \\ V=\frac{500\pi}{3}=523.5987756 \\ V\approx523.5988\operatorname{cm}^3 \end{gathered}[/tex]

Step 3: Calculate the total surface area of the right circular cone

[tex]\begin{gathered} \text{TSA}=\pi r(r+\sqrt[]{h^2+r^2)} \\ \text{TSA}=\pi(5)(5+\sqrt[]{20^2+5^2)} \\ \text{TSA}=5\pi(5+\sqrt[]{400+25)} \\ \text{TSA}=5\pi(5+\sqrt[]{425})=5\pi(5+20.61552813) \\ \text{TSA}=5\pi(25.615528134) \\ \text{TSA}=402.3677749 \\ \text{TSA}\approx402.3678cm^2 \end{gathered}[/tex]

Hence, the volume and the total surface area of the given right circular cone are approximately 523.5988cm³ and 402.3678cm² respectively

If 200 is added to a positive integer I, the result is a square number. If 276 is added to to the same integer I, another square number is obtained. Find I.

Answers

Solution:

[tex]\begin{gathered} Let\text{ } \\ 200\text{ + I= x}^2----------\left(1\right) \\ 276+I\text{ =y}^2----------\left(11\right) \\ Subtract\text{ equation \lparen1\rparen from equation \lparen11\rparen} \\ 276+1-\left(200_+I\right?=y^2-x^2 \\ 76=\left(y-x\right?\left(y+x\right? \end{gathered}[/tex]

Now y+x and y-x differ in 2x.

One of them is even, because their product is even, so the other must be even too.

76=2*2*19 and 19 is prime.

We can assume x,y>=0,

Thus, y+x=2.19, and y-x=2

from here y=20, x=18

Therefore,

[tex]\begin{gathered} 200+1=18^2 \\ 200+I=324 \\ I=324-200 \\ I=124 \end{gathered}[/tex]

The answer is I = 124

Lincoln made 3 quarts of iced tea and Jasmine made 5 quarts of iced tea using the same recipe. Part A: How many cups of iced tea did Lincoln and Jasmine make all together? cho mark

Answers

Part A

number of ice tea lincoln made = 3 quarts

number of ice tea jasmine made = 5 quarts

Altogether we have = 8 quarts

But, there are four cups in 1 quart

Therefore, 8 quarts would give 8 x 4 cups = 32 cups

In conclusion, jasmine and lincoln made 32 cups of ice tea altogether.

Part B

There are 16 cups in one gallon

Lincoln and jasmine made 32 cups of ice tea

Therefore the number of gallons of ice tea they made is

=32/16 = 2gallons

Also, 1/2 bottle = 1 gallon

Therefore, the 2 gallons would give

[tex]\begin{gathered} =\frac{2}{\frac{1}{2}}=\frac{2}{0.5}=4 \\ \end{gathered}[/tex]

Therefore the 2 gallons would give 4 bottles of ice tea

is it true that all whole numbers are rational numbers ? why or why not

Answers

all whole numbers are rational numbers

because we can write 21 as 21/1 in rational form.

.

We can write any whole number (a) into the form of

[tex]\frac{a}{b}[/tex]

where b = 1,

so all whole numbers can be written in form of rational numbers.

Triangle BCA is similar to Triangle STR . What is the value of x?

Answers

Sin the triangles are similar the ratio 4 to 6 should hold for any side, this means that:

[tex]\frac{4}{6}=\frac{x}{9}[/tex]

Solving for x we have:

[tex]\begin{gathered} \frac{4}{6}=\frac{x}{9} \\ x=9(\frac{4}{6}) \\ x=\frac{36}{6} \\ x=6 \end{gathered}[/tex]

Therefore. x=6.

a diver takes a dive in the red sea. He initially descends 100 feet. Then rises 28 before descending another 33. What is his final position

Answers

Descending: subtraction

Rises: Addition

The diver descends 100ft: Position -100 (the 0 is the sea level)

Then rises 28: Add 28 to the previous position: Position -72

[tex]-100+28=-72[/tex]

...before descending another 33: Subtract 33 to the previous position:

[tex]-72-33=-105[/tex]

Then, the final position is -105ft (105 ft under the sea level)

3x - 4y = 65x + 8y = -1

Answers

[tex]\begin{gathered} 3x-4y=6 \\ 5x+8y=-1 \\ 3x=6+4y \\ x=2+\frac{4}{3}y \\ \\ 5(2+\frac{4}{3}y)+8y=-1 \\ 10+\frac{20}{3}y+8y=-1 \\ \frac{20y+24y}{3}=-11 \\ \frac{44y}{3}=-11 \\ 44y=-33 \\ y=\frac{-33}{44} \\ y=-\frac{3}{4} \\ \\ 3x-4(-\frac{3}{4})=6 \\ 3x+3=6 \\ 3x=3 \\ x=1 \end{gathered}[/tex]

4 ft 12 ft The pitch of the roof is

Answers

As shown : in the figure

The pitch of the roof is the angle between the roof and the horizontal line

As shown we have a right angle triangle

The opposite side to the angle = 4 ft

And the adjacent side to the angle = 12 ft

According to the given sides, we will calculate the angle using tan function

So, let the angle = x

So,

[tex]\begin{gathered} \tan x=\frac{opposite}{adjacent} \\ \\ \tan x=\frac{4}{12}=\frac{1}{3} \\ \\ x=\tan ^{-1}\frac{1}{3}\approx18.435^o \end{gathered}[/tex]

So, the pitch angle of the roof = 18.435

instead of writing the angle , just we will write the slope = rise/run

So, the pitch of the roof = 1/3

Other Questions
Identifying Variables and Writing Functions Practice . A function describes how a dependent variable changes with respect to one or more independent variables. When there are only two variables, they are often summarized as an ordered pair with the independent variable first: (independent variable, dependent variable) The dependent variable is a function of the independent variable. If x is the independent variable and y is the dependent variable, write the function as y = f(x) Related Quantities. Write a short statement that expresses a possible relationship between the variables. Example: (age, shoe size) Solution: As a child ages, shoe size increases. Once the child is full-grown, shoe size remains constant. 1. (volume of a gas tank, cost to fill the tank) 2. (time, price of a Ford sedan), where time represents years from 1975 to 2017 How do modern Democrats and Republicans view taxation?Group of answer choicesDemocrats tend to favor tax increases to support new social programs more than Republicans.Republicans tend to favor tax increases to support new social programs more than Democrats.Democrats tend to favor tax decreases, while Republicans tend to favor keeping tax rated the same.Republicans tend to favor tax increases, while Democrats tend to favor keeping tax rates the same. A 5.325-gram sample of methyl benzoate, a compound used in the manufacture of perfumes, is found to contain 3.758 g carbon, .316 g hydrogen, and 1.251 grams of oxygen. What is the empirical formula for this substance? If a volcano erupts and ejects 12.5 moles of sulfur into the atmosphere how many atoms of sulfur is this The Euclidean algorithm - The Euclidean algorithm provides a wonderful way to calculate the greatest common factor of 2 numbers. The greatest common factor, which is the largest number that divides evenly into 1 or more numbers, is useful for reducing fractions. The Euclidean algorithm works by dividing 1 number by the other and finding the remainder. The 2 numbers are redefined, and then the process is repeated. The process ends when the remainder is equal to 0. Following is the pseudo code for the algorithm. In c++ Use 145 and 87 to test your program. The program will find the largest common factor of the numbers (the answer should be 29). How did westward expansion lead to racial conflict? Find the tangent of each angle that is not the right angle. Drag and drop the numbers into the boxes to show the tangent of each angle. B 76 tan ZA tan ZB 2.45 0.38 0.93 Which of the following is a major advantage of in-depth interviews over focus group interviews? They eliminate the need for a trained interviewer. They allow researchers to observe the social influence process that affects consumer behavior and attitudes because group members interact with each other. They increase the likelihood of cross talk, thus creating synergy among participants and encouraging them to talk in detail about a topic. They decrease the likelihood of participants responding in a socially desirable manner because there are no other participants to impress. The money multiplier is equal to the _______________ in the economy divided by the original _________________. Any costs incurred to get the merchandise into a condition and location ready for sale should be debited to ______. The rectangular waiting area for a popular amusement park ride is covered by a large sun canopy. The total area of the canopy, in square feet, is 100 square feet more than twice the area where guests wait.Which equation could you use to find the area of the place where guests wait for the ride if the area of the canopy is 7,600 square feet? Please find the square root. Round your answer to the nearest tenth. [tex] \sqrt{58 } = [/tex] Pick an issue that you are interested in that is controversial. Climate change, wearing masks, space flight, lowering the voting age, whatever youd like! Read multiple sources that are reliable. Write a paragraph defending one side of the issue, and another paragraph defending the opposite side of the issue. Do not cut and paste information from the articles. Use your own words! Examples: benefits of millionaires funding space flights, drawbacks from millionaires funding space flights. Sum it up. This is where you can state your own opinion. List your sources in MLA form. is neurofibromatosis 1 a dominant or recessive trait? Find the value of each variable.All answers must be in simplest radical form The first 19 terms of the sequence 9, 2, -5, -12,... find the sum of the arithmetic sequence An economy size car can travel 32 miles for each gallon of gasoline. The function d(g) = 32g represents the distance traveled in miles, d(g), that the car can travel with g gallons of gasoline. Find d(30).*Type in your answer.d(30) = miles Florida online traffic school section 2 review test A machine worked for 4hours and used 6kilowatts of electricity.What is the rate ofenergy consumed inkilowatts per hour?*Enter your answer as a decimal Zachary is designing a new board game, and is trying to figure out allthe possible outcomes. How many different possible outcomes arethere if he spins a spinner with three equal-sized sections labeledWalk, Run, Stop, spins a spinner with four equal-sized sections labeledRed, Green, Blue, Orange, and spins a spinner with 5 equal-sizedsections labeled Monday, Tuesday, Wednesday, Thursday, Friday?