what percentage grade should a road have if the angle of elevation of the road is 44 degrees? (the percentage grade is defined as the change in the altitude of the road over a 100100 -foot horizontal distance. for example a 5%5% grade means that the road rises 55 feet for every 100100 feet of horizontal distance.)

Answers

Answer 1

For a 44° elevation angle, the grade will be 96%.

Given that,

if the angle of elevation of the road is 44 degrees,

The difference in the road's altitude over a horizontal distance of 100 feet is what is referred to as the percentage grade. For instance, a road with a 5% slope will rise 5 feet for every horizontal 100-foot distance.)

A tangent ?

One of the six basic trigonometric functions is tangent, denoted as tan().

The ratio of the opposite side length to the adjacent side length is the definition of the tangent value of the one sharp angle,, in a right triangle.

[tex]tan \alpha = sin\alpha /cos \alpha[/tex]

The tangent of the angle is the ratio of rise to run.

tan(angle) = grade

tan(44°) ≈ 0.96 = 96%

Therefore, The grade will be 96% for an angle of elevation of 44°.

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Related Questions

what the meaning of geometric sequence?​

Answers

Answer:

What is the meaning of geometric sequence?

Step-by-step explanation:

A geometric sequence is a sequence in which each term is found by multiplying the preceding term by the same value. Its general term is. a n= a 1 r n – 1. The value r is called the common ratio. It is found by taking any term in the sequence and dividing it by its preceding term.

Answer:

Below.

Step-by-step explanation:

It is a sequence of numbers with a common ratio. That is, each term after the first is obtained by multiplying the previous one by the common ratio.

Examples:

2, 6, 18, 54 ...    is a geometrics sequence with common ratio 3.

1, 1/2, 1/4, 1/8 ... has a common ratio of 1/2.

-1, 1, -1, 1, -1 ...   has a common ratio of -1.

The nth term of a geometric sequence is given by

a r^(n-1) where a = first term and r = common ratio.

5/3x+1/3x=11 1/3+8/3x

Answers

Answer:

-111/2

Step-by-step explanation:

Please look at the attachment below! :D

fine the value of x. please help

Answers

Answer:

141 degrees

Step-by-step explanation:

The total angle interior of a triangle is 180 degrees. And the 2 angles opposite of x equal it so x=103+38

can someone help me out with this?

Answers

Answer:

area of triangle is length *breathe

4.5 * 5.5 = 24.75

Divide. Enter the correct answer.
17+2=

Answers

17 divided by 2= 8.5

Graph, on a separate piece of paper, the equation of a line with a slope of −3 and a y-intercept of 2.

Select the points that appear on the graph.

Multiple select question.
cross out

A)
(0, 0)

cross out

B)
(0, 2)

cross out

C)
(1, 1)

cross out

D)
(1, −1)

cross out

E)
(2, 0)

Answers

Based on the slope of the line and the y-intercept, when graphed, the points that will appear on the graph will be:

B. (0, 2) D. (1, -1)

How to graph the line?

The equation of a line takes the form:

y = mx + b

m = slope

b = y - intercept

This line would therefore take the equation form:

y = - 3x + 2

When graphed, the graph would be as attached.

As shown by the graph, the points that will appear include:

(0 , 2) (1 , - 1)

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A construction crew is lengthening a road that originally measured 10 miles. The crew is adding one mile to the road each day.Let L be the length (in miles) after D days of construction.Write an equation relating L to D. Then graph your equation using the axes below.

Answers

Let:

L = length of the road

D = Days of construction

We can write a linear equation in the slope-intercept form:

[tex]y=mx+b[/tex]

Where:

m = Slope = rate = 1 mile per day

b = y-intercept = Initial value = 10 miles

Therefore:

[tex]\begin{gathered} L=1D+10 \\ L=D+10 \end{gathered}[/tex]

The graph is:

PLEASE HELP!!!!!
Which of the following equations represents the line that passes through the point (4, 3) and has a slope of 1/2?
A) 2x-3y=-18
B)2x-3y=17
C)3x-2y=-17
D)3x-2y-18

Answers

The equation of a line that passes through the point (4, 3) and has a slope of 1 / 2 is y = 1 / 2 x + 1.

How to find the equation of a line?

The equation of a line that passes through a point can be describe as follows:

y = mx + b

where

m = slopeb = y-intercept

Therefore, the line passes through (4, 3) and the slope is 1 / 2.

Hence, let's find the y-intercept using (4, 3)

y = 1 / 2 x + b

3 = 1 / 2 (4) + b

3 = 2 + b

b = 3 - 2

b = 1

Therefore, the equation of the line is y = 1 / 2 x + 1.

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2x + y = 2
Step 2 of 2: Determine the missing coordinate in the ordered pair (?, -3) so that it will satisfy the given equation.

Answers

Answer:

2.5

Step-by-step explanation:

Plug is -3 for y and solve for x

2x -3 = 2  Add 3 to both sides

2x = 5  Divide both sides by 2

x = [tex]\frac{5}{2}[/tex] o r 2[tex]\frac{1}2}[/tex] or 2.5

PLS HELP ASAP
!!!!!!

Answers

They’re equal too, the first option because you first have to solve the equation using order of operations and 2 to the third power is 8 and divided by 32 is 4 and 4+3 =7 and the square root of 49 is also 7 because 7•7 so they’re equivalent

Find the derivatives of the following using increment method.1.y = 6x² +10x - 3

Answers

Given

[tex]y=6x²+10x-3[/tex]

Find

derivatives using increment method.

Explanation

Given

[tex]y=6x²+10x-3[/tex]

replace x and y by

[tex]\begin{gathered} x+\Delta x \\ y+\Delta y \end{gathered}[/tex]

so ,

[tex]\begin{gathered} y+\Delta y-y=6(x+\Delta x)^2+10(x+\Delta x)-3-(6x^2+10x-3) \\ \Delta y=6x^2+6\Delta^2x^2+12\Delta x^2+10x+10\Delta x-3-6x^2-10x+3 \\ \Delta y=12\Delta x^2+6\Delta^2x^2+10\Delta x \\ \end{gathered}[/tex]

now divide by

[tex]\Delta x[/tex]

so ,

[tex]\begin{gathered} y^{\prime}=\frac{12\Delta x^2+10\Delta x+6\Delta^2x^2}{\Delta x} \\ \\ y^{\prime}=12x+10+6\Delta x \end{gathered}[/tex]

now taking limit

[tex]\begin{gathered} \lim_{\Delta x\to0}y^{\prime}=\lim_{\Delta x\to0}(12x+10+6\Delta x) \\ \\ y^{\prime}=12x+10 \end{gathered}[/tex]

Final Answer

Therefore , the derivative of the function using increment method is 12x + 10

If f(x) = 12x and g(x) = -4x-12, find (f ·g)(x).

A.) -48x^2 - 12x
B.) -48x^2 - 144x
C.) -4x^2 - 144x
D.) -192x^2

Answers

Answer:

[tex]-48x^2 - 144x[/tex]

Step-by-step explanation:

[tex](f \cdot g)(x)=f(x) \cdot g(x) \\ \\ =12x(-4x-12) \\ \\ =-48x^2-144x[/tex]

What is an equation of the line that passes through the points (4, -3) and
(5, -5)?

Answers

The equation of the line in slope intercept form is y=-2x+5
Hope this helps :)

What is the length of AC?

Answers

Answer:

126 units!

Step-by-step explanation:

I hope this helped!! c:


What are the coordinates of the midpoint of segment whose endpoints are A(-2,7) and B(4,-2)?

Answers

Around 10 of not a clue. Good luck on that!

Write the equation in slope intercept form: x-3y=12

Answers

Answer:

[tex]\\ y = \frac{1}{3} x - 4[/tex]

Step-by-step explanation:

Hope this helps! :))

Write an inequality, in slope-intercept form, for the graph below. If necessary,use "<=" for sor">=" for >.5(-3,0)5(0, -3)

Answers

we need to find the line equation for the dashed line. Since we have 2 points of the line, its slope is

[tex]\begin{gathered} m=\frac{-3-0}{0-(-3)} \\ m=\frac{-3}{3} \\ m=-1 \end{gathered}[/tex]

where we used the slope formula:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Then, our searched line has the form:

[tex]y=-x+b[/tex]

where b is the y-intercept. We can finde b by substituting point (0,-3) into the last equation:

[tex]\begin{gathered} -3=-(0)+b \\ b=-3 \end{gathered}[/tex]

then, the searched line in slope-intercept form is

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

Therfore, the given area can be modeled as

[tex]y>-x-3[/tex]

because when a line is dashed it doesn't belong to the given area.

the d score is a standardized measure of the degree to which the independent variable caused a change in the dependent variable. this is also known as the

Answers

The standardized measure of the degree to which the independent variable caused a change in the dependent variable is a standard change.

What is a dependent variable?

A dependent variable is what is determined in an experiment or test and is the one that is influenced throughout the experiment. The dependent variable is affected by the independent variable.

In mathematical modeling, statistical modeling, and experimental sciences, dependent and independent variables are variables. Dependent variables are so named because their values are explored in an experiment under the assumption or requirement that they are dependent, by some law or rule, on the values of other variables.

In conclusion, the standard change illustrates the change.

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In the community of Greendale, a local restaurant donates 15% of the total sales to student-based clubs on certain funding nights.

A- Write an equation to represent the relationship between the dinner sales (d) and the amount (a) the organization will receive.

B- What is the constant of proportionality? Interpret the constant proportionally for the problem situation.

C- How much will the organization receive if dinner sales are $3600?

NEED BY 2:35 CENTRAL TIME!!! OFFERING 35 POINTS! MIDDLE SCHOOL MATH!

Answers

The equation that represents the relationship between dinner sales and the amount the organisation would receive is a = 0.15d

The constant of proportionality is 0.15.

Th amount the organisation will receive if dinner sales is $3600 is $540

What is the relationship between dinner sales and the amount the organisation would receive?

The equation that would be used to represent the relationship between dinner sales and the amount the organisation would receive is a linear equation.

A linear equation is an equation that has one variable that is raised to the power of one. A linear equation can either be either be a positive function or a negative equation. When a linear equation is drawn on a graph, the graph is a straight line.

The form of the linear equation would be:

total amount received by the organisation = percentage x amount the restaurant receives.

a = 0.15d

0.15 is the constant of proportionality. It is the value that relates the amount the organisation would receive and the amount the restaurant would receive.

a = 0.15 x 3600

a = $540

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WILL MARK BRAINLIEST FOR THE BEST AND MOST ANSWERED OUT REPLY

1. A recent election poll claims that Candidate A is projected to win the election with 53% of the vote. If a sample of 2436 voters is polled, determine if Candidate A can be guaranteed a win with 95% confidence.

Select an answer
a. yes
b. no
c. Not enough information

Explain why or why not using two sentences.​

Answers

Using percentages we can conclude that 95% of votes that is 2,314 votes (B) cannot be guaranteed which is 1,023 votes more than the projected 53% winning votes (1,291 votes).

What is the percentage?A percentage is a number or ratio expressed as a fraction of 100 in mathematics. Although the abbreviations "pct.", "pct.", and occasionally "pc" is also used, the percent sign, "%," is frequently used to indicate it. A percentage is a number without dimensions and without a standard measurement.By dividing the value by the total value and multiplying the result by 100, one can determine the percentage. The percentage calculation formula is (value/total value)100%.

So, candidate A has a projection of winning 53% votes.

A sample of 2436 voters is pulled, then:

2436/100 × 53 = 1,291 votes

Can candidate A be guaranteed 95% votes which are:

2436/100 × 95 = 2,314 votes

Difference: 2,314 - 1,291 = 1,023

Therefore, using percentages we can conclude that 95% of votes that is 2,314 votes (B) cannot be guaranteed which is 1,023 votes more than the projected 53% winning votes (1,291 votes).

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Orlando is getting balloons for his grandmother's birthday party. he wants each balloon string to be 6 feet long. at the party store, string is sold by the yard. if orlando wants to get 72 balloons, how many yards of string will he need?

Answers

144 yards of string will need to use balloons for the party.

Given,

The length of balloon string Orlando wanted = 6 feet

Number of balloons = 72

We have to find the total length of strings wanted for 72 balloons in yards.

1 yard = 3 feet

Now,

Total length of strings Orlando needs = length of one string x number of balloons = 6 x 72 = 432 feet

Now convert 432 feet into yard

That is,

432 / 3 = 144 yards

So,

144 yards of string will need to use balloons for the party.

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For her science fair project, Madelyn is growing crystals with sugar water. She wants to know if the size of the container has an effect on crystal growth. To start, Madelyn pours a sugar-water mixture into a small bowl. Then she pours triple the amount of the mixture into a large bucket. She decides to add red coloring so the crystals are more visible. Madelyn adds the same amount of red coloring to both containers. Which container's sugar water mixture is a darker shade of red?

Answers

The container whose sugar water mixture is a darker shade of red is: A. the small bowl's mixture is a darker shade of red.

What is a ratio?

A ratio can be defined as a mathematical expression that's used to denote the proportion of two (2) or more quantities with respect to one another and the total quantities.

In this scenario, the ratio of the sugar water mixture in the small bowl (S) to the sugar water mixture in the large bucket (L) can be represented by this mathematical expression:

S:L = 1:3

Also, when red coloring is added to both containers, we have:

S:L = 1r:3r

In this context, we can reasonably and logically deduce that the mixture in the small bowl would have a darker shade of red because it is less diluted in comparison with the sugar water mixture in the large bucket.

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Complete Question:

For her science fair project, Madelyn is growing crystals with sugar water. She wants to know if the size of the container has an effect on crystal growth. To start, Madelyn pours a sugar water mixture into a small bowl. Then she pours triple the amount of the mixture into a large bucket. She decides to add red coloring so the crystals are more visible. Madelyn adds the same amount of red coloring to both containers. Which container's sugar water mixture is a darker shade of red?

answer choices

The small bowl's mixture is a darker shade of red.

The large bucket's mixture is a darker shade of red.

Neither. The mixtures are the same shade of red.

if the work required to stretch a spring 3 ft beyond its natural length is 15 ft-lb, how much work (in ft-lb) is needed to stretch it 18 in. beyond its natural length? give your answer in decimal form.

Answers

The amount of work needed to stretch the spring 18 in. from its natural position is 3.75  ft-lb.

According to the Hooke's Law, the work done on the spring is:

W = 1/2. k . x²

Where:

k = spring constant

x = displacement.

Notice that the work done is directly proportional to x².

Hence,

W₁ : W₂  = x₁² : x₂²

Parameters given:

W₁ = 15 ft-lb

x₁ = 3 ft

x₂ = 18 in. = 1.5 ft

Plug the above parameters into the ratio equation:

15 : W₂  = 3² : (1.5)²

W₂ = (1.5)² . 15 /  3² = 15/4 = 3.75  ft-lb

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100 brainly!! Which of the following values are in the range of the function graphed below? Check all that apply.

Answers

Answer:

B

Step-by-step explanation:

You want to go on a swamp tour. How long does it take a swamp vehicle that travels at 3.2 miles per hour to travel across the swamp, from point Z to point S ?

Answers

If the swamp vehicle that travels at 3.2 miles per hour to travel across the swamp, then the time taken to travel from point Z to point Y is 1.56 hours

The speed of the swamp vehicle = 3.2 miles per hour

From the figure we can see the two triangles ΔXVM and ΔXYZ

Here we have to use the ratio of the two similar triangles

The ratio will be

VW/WX = YZ/ZX

Substitute the values in the equations

10/6 = YZ/3

We have to find the distance from point Z to point Y

YZ = (10/6)×3

= 5 Miles

We know

Speed = Distance / Time

Time = Distance / speed

= 5/3.2

= 1.56 hours

Hence, if the swamp vehicle that travels at 3.2 miles per hour to travel across the swamp, then the time taken to travel from point Z to point Y is 1.56 hours

The complete question is

You want to go on a swamp tour. How long does it take a swamp vehicle that travels at 3.2 miles per hour to travel across the swamp, from point Z to point Y ?

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find the value of x in each case

Answers

Answer:

x=23

Step-by-step explanation:

The amount of degrees in a triangle is 180 degrees.

line AC and line DF are straight angles meaning that the opposite angles are equal to each other. That means that angle FBC is also equal to x. Because line AC and EF are parallel we know that FBC and BFE are equal. Therefore, BFE is equal to x. The sum of the values of each angle of the triangle should add up to 180. 5x+65=180

5x=115

x=23

Please answer attached question with diagram :)

Answers

The translation observed by shape A after reflection is

x direction -5y direction -2

What is translation?

Translation refers to a linear movement used in describe repositioning of image during transformation

Transformation is the generally the repositioning of an image. Transformations are usually described in a cartesian plane for ease of comprehension.

The shape A after reflection had a new position. The new position was moved downwards, in the y direction by 2 units representing -2

The shape was further moved to the left 5 units in the x direction  representing -5

Hence we say that c = -5 and d =  -2

This describes the position of the image now labeled shape B

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what are the coordinates of a’?

Answers

the answer is A, (1,3)

Using the drawing tools to form the correct answer on the provided graph

Answers

Horizontal line with the given function: y = 4

Explanation:

Since the midline of a sine function is the horizontal centerline about which the functions oscilliart above and below, the corresponding line here is y = 4 with x = 0.

NB:

The midline is parrallel to y = 0 ~ the x-axis.

Britany is bringing birthday cake and cookies to her office. She has already spent $10.00 on the cake. Cookies cost $0.70 each, and she does not wish to spend more than $34.50 for all desserts. If x represents the number of cookies she can buy, which of the following inequalities symbolizes this situation?
A.
$10.00x + $0.70 < $34.50
B.
$0.70x + $10.00 < $34.50
C.
$0.70x + $10.00 < $34.50
D.
$10.00x + $0.70 < $34.50

Answers

Considering the definition of an inequality, the correct answer is option C. the inequiality $0.70x + $10.00 < $34.50 symbolize this situation

Definition of inequality

An inequality is the existing inequality between two algebraic expressions, connected through the signs:

greater than >.less than <.less than or equal to ≤.greater than or equal to ≥.

The solution of an inequality is the set of numbers that make the inequality true.

Inequality in this case

In this case, you know that:

Britany has already spent $10.00 on the cake. Cookies cost $0.70 each. She does not wish to spend more than $34.50 for all desserts.

Being "x" the number of cookies Britany can buy, the inequality that expresses the previous relationship is

10 + 0.70x <34.50

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20. What is the main reason that people who work in the medical field sometimesexperience compassion fatigue?a. because they are prone to physical burnoutb. because they aren't capable of handling job stressc. because they feel emotional about the suffering of othersd. because they don't take care of themselves appropriately can you help me on the part 2 Heads in a Row: Please solve recently...... What is the value of f(3) on the following graph? What is the domain, range, and function? {(-3, 3), (1, 1), (0, -2), (1,4), (5, -1)} a child is extremely preoccupied with his principle caretaker (his mother), displays fear in response to the presence of strangers, and acts subdued in new social situations. this child is most likely in which age group: Round the answer for each problem to the correct number of significant figures.a. (7.31 104) + (3.23 103)b. (8.54 103) (3.41 104)c. 4.35 dm 2.34 dm 7.35 dmd. 4.78 cm + 3.218 cm + 5.82 cme. 38,736 km 4784 km What is the answer and how do I solve this a limitation of 1,550 machine-hours per week prevents golden leaf manufacturing company from meeting the sales demands for its products. the product information is as follows: r1 r2 r3 r4 unit selling price $450 $300 $175 $300 unit variable costs (300) (125) (100) (150) unit contribution margin $150 $175 $75 $150 machine-hours per unit 10 10 10 15 assuming demand for each product is as follows: r1 50 units; r2 80 units; r3 25 units; and r4 10 units, what is the best short-run profit maximizing strategy? The bar graph shows the percentage of college freshmen in a certain country with an average grade of Ain high school.The data displayed by the bar graph can be described by the mathematical model p =4x- + 25 where xis the number of years after 1980 and p is the percentage of college freshmen who had an average in 1982, the us mint changed the composition of pennies from all copper to zinc with copper coating. pennies made prior to 1982 weigh 3.1 grams. pennies made since 1982 weight 2.5 grams. if you have a bag of 1267 pennies, and the bag weighs 3541.9 grams, how many pennies from each time period are there in the bag? what are the differences between religions of the Near East and the Far East what is the range of exercise intensities, in %hrr, associated with increasing crf? where does moderate-intensity physical activity fit in that range? A magical basket of pennies doubles every day. If the basket if full on the 15th day, on what day was the basket one-quarter full? when 20 grams of a salt is dissolved in 95 grams of water, the temperature of the solution decreases from 40oc to 0oc. how much heat is absorbed? the specific heat of the solution is 1.1 cal/goc. Where is Dominican Republic located on this map 1) The weights of a particular group of show dogs are normally distributed with a mean of 16.6 kg and astandard deviation of 2.2 kg. If a random show dog is selected from the group, what is the probability thatit would weigh less than 15.5 kg? Find where the graphs intersect; f(x)=2x+3 and g(x)=-0.5x+7 Help, I'm not sure ! Which decimal represents 8 X 1,000 + 4 X 100 + 7 X7 16 +31,0001,0A 8,004.073C 8,400.703B 8,040.073D 8,400.730