A mountain road rises 10 feet over a 206-foot run. What is its slope?

Answers

Answer 1

It's slope is 5/103  , by using simple calculation for slope.

What is slope?
In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction. The letter m is frequently used to represent slope; the reason for this usage is unclear, but it can be found in O'Brien's (1844) and Todhunter's (1888) formulations of the equation for a straight line as "y = mx + b" and "y = mx + c," respectively. The ratio of the "vertical change" to the "horizontal change" among (any) two distinct points along a line is used to calculate slope. The ratio can also be written as a quotient (also known as "rise over run"), which gives the same number for each and every two distinct points on same line.

Mathematically, it's calculated as "rise over run".

Here,

Rise is given i.e. 10feet.

and foot-run=206.

So, slope = Rise/foot-run

                = 10/206

                = 5/103 .

Hence, slope = 5/103.

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Related Questions

Two rectangle are conguruent if​

Answers

Answer:

they are congruent if they have the same exact measurements as each other (side lengths AND angles)

Step-by-step explanation:

:)

The have the same measures in each side

Use distributive property and area models to solve these equations . Show your work.
4 x 9.4 6.4 x 1.2

3.5 x 4.9 8.4 x 5.2

Answers

Answer:

hablan español es que yo les pudiera ayudar pero no se tanto ingles como ustedes

What is the absolute value of -6

Answers

Answer:

6, man

Step-by-step explanation:

If a number ends in zeros, the zeros are called terminal zeros. For example, 520,000 has four terminal zeros, but 502,000 has just three terminal zeros. Let N equal the product of all natural numbers from 1 through 20:
N = 1 × 2 × 3 × 4 × ... × 20.
How many terminal zeros will N have when it is written in standard form?

Answers

Answer:

4

Step-by-step explanation:

First you need to figure out how many numbers can create a 0 at the end. Of course 10, and 20 can. Next, 2*5 and 12*15 can also do that. This means you will have 4 zeros at the end. Or you can simply use a calculator!

N = 1 × 2 × 3 × 4 × ... × 20  will give four terminal zeros.

To do such question there are 2 methods, conventional and non-conventional approach.

Conventional Approach;

N = 1 × 2 × 3 × 4 × ... × 20

Non-conventional approach;

To form a zero at the end of a number, we need to multiply it with a multiple of such 10, 20, 30, etc.

Also, a multiplication of 5 and 2 gives as zero.

Therefore, numbers (5 x 2), 10, (12 x 15), and 20, will give us four terminal zeros.

hence, N = 1 × 2 × 3 × 4 × ... × 20  will give four terminal zeros.

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Solve by factoring:
X^2-13x-14=0

Answers

Answer:

x = -1 and x= 14

Step-by-step explanation:

x^2 -13x -14=0

x^2 + x- 14x -14 = 0

x(x+1) -14(x+1) = 0

(x+1)(x-14) =0

x+1 = 0

x= -1

x-14=0

x= 14

Answer:

x = -1, x = 14.

Step-by-step explanation:

Which of the following has no solution?

Answers

I think it’s the last one I’m sorry if it’s wrong I’m doing the same thing in math and I just started it today

Write an equivalent expression using commutative property of multiplication.
4 x (6 x 2) =

Answers

Answer:

im pretty sure it should be 4 x (2 x 6)=

if the answer is needed its 48

Step-by-step explanation:

Find the missing side, x, rounded to the
nearest whole number.

Answers

Answer:

here's what the triangle should look like with all the values

Step-by-step explanation:

hopefully this helps :)

[tex]17b+9a+6b+4a+5a+b+9a=[/tex]

Answers

Answer:

27a + 24b

Step-by-step explanation:

Combine the like terms.

9a + 4a + 5a + 9a = 27a

17b + 6b + b = 24b

Remember, a number without a coefficent is 1.

Hope this helps! :)

thanks for the points

Step-by-step explanation:

Which second degree polynomial function f(x) has a lead coefficient of 3 and roots 4 and 1? f(x) = 3x2 + 5x + 4 f(x) = 3x2 + 15x + 12 f(x) = 3x2 – 5x + 4 f(x) = 3x2 – 15x + 12

Answers

Answer:

f(x) = 3x^2 - 15x + 12

Step-by-step explanation:

All of the second degree polynomials listed have a leading coefficient of 3.

Since we are asked which has roots 4 and 1, we know we need to find the polynomial where x is a negative number, then solve for x.

f(x) = 3x^2 - 15x + 12

= 3(x^2 - 5x + 4)  --- Here, I factored out the 3.

= 3((x-4)(x-1)) --- solve for the quadratic.

Therefore, solving for x, we have

x - 4 = 0    and  x - 1 = 0

x = 4                  x = 1

Thus, this polynomial has a lead coefficient of 3 and its roots are 4 and 1.

Answer:

f(x) = 3x^2 - 15x + 12

Step-by-step explanation:

its Britany bitc

Step-by-step explanation:

Apples are selling for $0.36 a pound. Charmaine spent $4.86 on apples. How many pounds of apples did Charmaine buy?
I pounds

Answers

Answer:

13.5 pounds

Step-by-step explanation:

y(0.5+2) please help me on this !!!

Answers

Answer:

0.5y+2y

Step-by-step explanation:

bc you divide out the y

factor the following expression 12y - 16​

Answers

Answer:

it's 4(3y-4)

Step-by-step explanation:

shout out to jazzy6805 for correcting me

Answer:

4(3y-4)

Step-by-step explanation:

sorry if wrong

identify an equation in point-slope form for the line parallel to y= -2/3x+8 that passes through (4,-5)


The answer options are as follows;


A. Y+5=-2/3(x-4)


B. Y+5=3/2(x-4)


C. Y-5=-2/3(x+4)


D. Y-4=2/3(x+5)

Answers

Answer:

C

Step-by-step explanation:

the equation for point slope form is y - y1 = m(x-x1)

parallel lines share a slope m = -2/3. the point given (4, -5) goes in place of the y1 and x1

PLEASE HELP!
If Mr Mantle invests $15,000 in an account with 8% interest compounded
weekly how much would he have after 9 years?
a) $19,019,635.24
b) $16,119.74
c) $30,799.45
d) $30,798.77

Answers

Answer: c

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

because if you multiple 15,000 by 8% it will give you 1,200 and you multiple it by 15,000 and you will get close to a

What is the factor of х+8xt7

Answers

Answer:

x (1+8t7)

Step-by-step explanation:

Graph Y=-3/2x-3
Plz help me

Answers

Answer:

Ask your mom or dad

Step-by-step explanation:

Answer:

See explaination

Step-by-step explanation:

y = mx+b form.

So first, b is the y intercept, where the line intercepts the y axis. So, put a dot at -3. After that, do the slope. Rise over run. So, go down 3 (because negative) and to the right 2. Then, put a line through the dots and you'll have your graph. If you need me to graph just ask.

ABC = EDC, AB=8, BC = 5 DC = ?

Answers

Answer:

5

Step-by-step explanation:

AB = ED

BC = DC

AC = EC

Topic: Congruence and similarity

If you like to venture further, do check out my insta (learntionary) where I regularly post useful math tips! Thank you!

Expanded form of 13.028

Answers

Answer:

Expanded form of 13.028

Step-by-step explanation:

13028/1000

.

HELP

Does this circle have a radius or diameter?

Answers

Answer:

Radius

Step-by-step explanation:

The radius is a straight line from the center to the circumference of a circle

The diameter is a straight line, from circumference to circumference, that passes throught a citcle's center

Help me out hereeeeeeeeeeeeeeeeeeeee

Answers

He has 5/8 of the gallon left

Answer:

5/8 hope this helps

A package of 6 pairs of insulated socks costs $32.34. What is the unit price of the pairs of socks?

Answers

32.34/6 = $5.39 per sock

Find the length of each side of an equilateral triangle with perimeter 60 inches.

Answers

Answer:

20

Step-by-step explanation:

60 divided into 3 = 20 since all sides are equal then you get 20 for each side.

In ΔLMN, l = 8.7 cm, m = 2.3 cm and n=6.6 cm. Find the measure of ∠M to the nearest degree.

Answers

Answer:

7

Step-by-step explanation:

\underline{\text{Solution Method 2:}}

Solution Method 2:

Use original formula

a^2=b^2+c^2-2bc\cos A

a

2

=b

2

+c

2

−2bccosA

From reference sheet.

\text{Since we are finding }\angle M\text{,}

Since we are finding ∠M,

\text{plug in }2.3\text{ for side }a:

plug in 2.3 for side a:

Opposit the angle we want

2.3^2 = 6.6^2+8.7^2-2(6.6)(8.7)\cos M

2.3

2

=6.6

2

+8.7

2

−2(6.6)(8.7)cosM

Plug in values. Side "a" is opposite the wanted angle.

5.29 = 43.56+75.69-114.84\cos M

5.29=43.56+75.69−114.84cosM

Square sides.

5.29 =

5.29=

\,\,\color{white}{-} 119.25-114.84\cos M

−119.25−114.84cosM

Add.

-119.25=

−119.25=

\,\,-119.25

−119.25

-113.96=

−113.96=

\,\,-114.84\cos M

−114.84cosM

\frac{-113.96}{-114.84}=\cos M

−114.84

−113.96

=cosM

Divide to solve for cos(A).

M= \cos^{-1}(\frac{-113.96}{-114.84})\approx7.098\approx 7^{\circ}

M=cos

−1

(

−114.84

−113.96

)≈7.098≈7

The angle according to the given data about the triangle will be equal to 7°.

What is an angle?

An angle results from the intersection of two lines at a point. The term "angle" describes the width of the "gap" that exists between these two rays. It's represented by the symbol ∠.

Angles are most frequently measured in degrees and radians, a measurement of roundness or rotation. Angles are a part of everyday existence.

As per the given information in the question,

The length of the sides is given as:

l = 8.7 cm

m = 2.3 cm

n = 6.6 cm

Use the formula given below to find the angle,

a² = b² + c² - 2bc cos A

The formula modified to the information will be,

m² = n² + l² - 2nl cos M

2.3² = 6.6² + 8.7² - 2(6.6)(8.7)cos M

5.29 = 43.56 + 75.69 - 114.84 cos M

-119.25 + 5.29 = -114.84 cos M

cos M = 113.96/117.84

M = cos⁻¹ 0.992

M = 7.09 ≈ 7°.

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Find the value of the variable, x



Group of answer choices

72

180

27

26

Answers

Answer:

The value of x is 27

Step-by-step explanation:

If you multiply 27 by every x in this problem, and add up the angles it will equal 180. Which is the amount of degrees every triangle adds up to.

(03.02 MC)

Which of the following is a factor of 12x2 − 4x − 1? (6 points)

Group of answer choices

A. 6x − 1

B. 2x + 1

C. 2x − 1

D. None of the above

Answers

Answer:

C) 2x - 1

Step-by-step explanation:

12x² - 4x - 1 =  12x² - 6x + 2x - 1

                   = 6x(2x - 1) + (2x - 1)

                   = (2x - 1) (6x + 1)

Can somebody please help me out?

Answers

Answer:

A

Step-by-step explanation:

You can't square a negative number, so the number must be non real.

The answer is correct it’s A

each function. g(x) = 2x^3 – 4; Find g(2)​

Answers

Answer:

g(2) = 12

Step-by-step explanation:

g(x) = 2x³ – 4; g(2)

g(2) = 2(2)³ – 4

= 2 × 8 – 4

= 16 – 4

g(2) = 12

Thus, The answer is g(2) = 12

-TheUnknownScientist

Answer:

12

Step-by-step explanation:

Anton van Leeuwenhoek’s contribution in the development of cell theory?

You have two strains of mice, one is inbred and the other is genetically heterogeneous. You examine weight differences for the mice when they are raised in the same environment. If the total variance for the inbred strain is 0.5 square ounces and total variance for the heterogeneous strain is 0.7 square ounces, what is the relative amount of variance due to genetic variation

Answers

This question is incomplete, the complete question is;

You have two strains of mice, one is inbred and the other is genetically heterogeneous. You examine weight differences for the mice when they are raised in the same environment. If the total variance for the inbred strain is 0.5 square ounces and total variance for the heterogeneous strain is 0.7 square ounces, what is the relative amount of variance due to genetic variation ?

Multiple Choice

A. 0.2 square ounces

B. 0.5 square ounces

C. 0.7 square ounces

D. 1.2 square ounces

Answer:

Option  A) 0.2 square ounces  is the correct answer

Step-by-step explanation:

Given that;

two strains of mice where raised in the environment and while one is inbred, the other is genetically heterogeneous.

The total variance for the inbred strain =  0.5 square ounces

total variance for the heterogeneous strain = 0.7 square ounces

relative amount of variance due to genetic variation = ?

The relative amount of variance due to genetic variation can be gotten by taking the difference of the total variance of both mice

so;

relative amount of variance due to genetic variation = variance for the heterogeneous strain - total variance for the inbred strain

we substitute our values

relative amount of variance due to genetic variation = 0.7 - 0.5

relative amount of variance due to genetic variation = 0.2 square ounces.

Therefore Option  A) 0.2 square ounces  is the correct answer

A student uses the method of successive approximations to estimate a positive solution of
f(x) = g(x), where f(x) = x2 + 10 and g(x) = 2x + 17. The table shows her results for different
input values of x.

Answers

Answer:the answer is between 11 and 17

Step-by-step explanation:

Because when you look at the chart and see which one makes sense you will find it

Answer: it’s between 3.75 and 5

Step-by-step explanation:

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