What is the slope of the ramp shown in the diagram below?
O A.
OB.
3
10
OD.
C. -1/3
ო|e Pm p|ო
3
10

What Is The Slope Of The Ramp Shown In The Diagram Below?O A.OB.310OD.C. -1/3|e Pm P|310

Answers

Answer 1

According to the Pythagoras theorem, the value of the slope of the ramp is 10.44

Pythagoras theorem

Pythagoras theorem states that the sum of squares of the sides equal to the square of the hypotenuse.

The general form of the Pythagoras theorem is,

c² =  a² + b²

where

c refers the hypotenuse

a and b refers the sides of the triangle.

Given,

Here we have the ramp with the side values 3 and 10.

Now, we have to find the value of the slope.

Let us consider x be the hypotenuse or slope of the ramp.

We know that the Pythagoras theorem states that the square of the hypotenuse is equal to the sum of square of the sides.

So, it can be written based on these,

x² = 3² + 10²

x² = 9 + 100

x² = 109

x = √109

When we simplify this one then we get the value of slope as 10.44.

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Related Questions

P
E
MD
AS
Simplify using
order of operations.
14 + 6 x 2-16+8

Answers

Answer: 18

Step-by-step explanation:

There are no parenthesis or exponents, so you use multiplication first.

6 x 2 = 12

That makes your equation 14 + 12 - 16 + 8

Now you only have adding and subtracting left, which you’ll do from left to right.

14 + 12 = 26

26 - 16 + 8

26 - 16 = 10

10 + 8 = 18

Hope this helps!

In 2012, the population of a city was 5.04 million. The exponential growth rate was 1.65% per year.
a) Find the exponential growth function.
b) Estimate the population of the city in 2018.
c) When will the population of the city be 7 million?
d) Find the doubling time.

Answers

Answer: It will take 24 years to have 7 million.

Step-by-step explanation:

1.65% of 5.04 million is 83,160.

2018 is 6 years from 2012.

83,160 x 6 = 498,960.

498,960k + 5,040,000mil =5,538,960mil. still not quite 7 million.

498,960k x 4 = 1,995,840mil.

1,995,840mil + 5,040,000mil = 7,035,840mil.

It will take the city 24 years to have 7 million.

a cylinder is inscribed in a right circular cone of height 2.5 and radius (at the base) equal to 7.5. what are the dimensions of such a cylinder which has maximum volume? radius

Answers

At that particular critical point, the second derivative needs to be negative in order to obtain the dimensions of the cylinder with the maximum volume. The values of the function that contain both variables are then substituted to obtain the dimensions.

A right circular cone with a height of 2.5 and a base radius of 7.5 inscribes the given cylinder.

Assume that h is the height and r is the radius of the cylinder. Using triangles that are similar, express h in terms of r as follows:

2.5/7.5 = 2.5-h/r

2.5r = 18.75 x 7.5 x 2.5 h = 2.5 x 1/3r

V= πr²h is the formula for the cylinder's volume.

As a result, only write the volume in terms of r.

V= r2h V= r2(2.5-1/3r)

V= 2.5πr² - 1/3πr³

As a result, the cylinder must have dimensions of r=5 and h=0.83.

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A server at a restaurant is hoping for a 15% tip from a large party. The
party's bill at the end of the night was $312.00. Write a proportion and
describe how you would solve it to calculate the amount of the tip the
server hopes to receive. Be sure to state your final answer as an amount of
money, rounded to the nearest cent.
*Use the "/" on your keyboard as a fraction bar for ratios when writing the
proportion. For example: I can show that one-half and two-fourths are
proportional by typing "1/2 = 2/4" for the proportion.

Answers

$57 is the amount of the tip the server hopes to receive.

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

Given,

A server at a restaurant is hoping for a 15% tip from a large party.

The party's bill at the end of the night was $312.00.

Now we need to find 15% of $312

15% is converted to decimal by dividing with 100

15/100=0.15

Now multiply 0.15 with 380

0.15×380

57

Hence $57 is the amount of the tip the server hopes to receive.

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Alex invests $300 in a company. He will receive 6% simple interest annually for the next 5 years.
After 5 years, Alex will have earned in interest.

Answers

Answer:  After 5 Years Alex will receive 90 Dollar.

Step-by-step explanation 5 x 6% of 300 = 30% is 90 Dollar.

When written in scientific notation, the number 1,240,000 will have a
Choose... as the exponent on the power of 10.

Answers

Using scientific notation, the number 1240000 can be expressed as 1.24×10⁶

Scientific Notation

Scientific notation is a form of presenting very large numbers or very small numbers in a simpler form. As we know, the whole numbers can be extended till infinity, but we cannot write such huge numbers on a piece of paper. Also, the numbers which are present at the millions place after the decimal needed to be represented in a simpler form. Thus, it is difficult to represent a few numbers in their expanded form. Hence, we use scientific notations.

Converting the number 1,240,000 to scientific notation, we will get

1,240,000 = 1.24×10⁶

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Deepak is a landscaper who charges $30 for each job he does plus an additional $15 for each hour he works. He only accepts jobs if he will earn at least $90 per job. He writes this inequality to determine x, the number of hours he must work during each job in order to accomplish this. 30 + 15 x greater-than-or-equal-to 90 which best describes the restrictions on the jobs deepak will accept?.

Answers

Deepak will work for at-least 4 hours in each job

Linear Inequality in one variable:

                                       A linear inequality in one variable that can be written either in the form of,

a+bx<0

a+bx≤0

a+bx>0

a+bx≥0  

             where,

                   where a and b are real numbers and a≠0 a ≠ 0

For the given question,

          Deepak charges $30 for each job he does plus an additional $15 for each hour he works.

He only accepts jobs if he will earn at least $90 per job.

If,

     x is number of hours Deepak works in each job then,

      required inequality can be written as,

             30 + 15x  [tex]\geq[/tex] 90

                 15x ≥ 90 - 30

                  15x ≥ 60

                    x ≥ 60/15

                    x ≥ 4

thus,

      we conclude that Deepak will work for at-least 4 hours in each job.

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X=11 find X if y is 2

Answers

Answer:

it is 3 0 o 90 not up okbg 56

help please and thankyou 4

Answers

The ratios of the right triangle to solve for x is as follows;

sin x = 6 / 10cos x = 5 / 10tan x = 4 / 6

How to find the angles of a right triangle?

A right angle triangle is a triangle that has one of its angles as 90 degrees.

The sides of a right angle triangle can be named base on the position of the angles.  

The sides of a right angle triangles are hypotenuse sides, opposite and adjacent side. The hypotenuse side is the longest side of the right triangle.

Therefore, let's find the ratio that can be used to find the angle x.

Triangle PNM

sin x = opposite / hypotenuse

sin x = 6 / 10

Triangle ABC

cos x = adjacent / hypotenuse

cos x = 5 / 10

Triangle DEF

tan x = opposite / adjacent

tan x = 4 / 6

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Instructions solve n given the equation -3(2n-3)=25 -8n

Answers

Answer:

n=7

Step-by-step explanation:

-6n-9=25-8n

2n=34

n=17

1. a car manufacturer is concerned about poor customer satisfaction at one of its dealerships. the management decides to evaluate the satisfaction surveys of its next 62 customers. the dealership will be fined if the number of customers who report favorably is between 45 and 50. the dealership will be dissolved if fewer than 45 customers report favorably. it is known that 84% of the dealership's customers report favorably on satisfaction surveys. a. what is the probability that the dealership will be fined? b. what is the probability that the dealership will be dissolved?

Answers

Probability that the dealership will be fined is 0.157

Probability  that the dealership will be dissolved is 0.158

the management decides to evaluate the satisfaction surveys = 62 customers

the sample mean is 0.84

we solve this using sampling distribution of the proportion

standard deviation of the sample is [tex]\sqrt{\frac{PQ}{n} }[/tex]  P = 0.84  Q= 0.16 n= 62

[tex]\sqrt{\frac{0.84*0.16}{62} }[/tex] =  0.04

mean(P) = 0.84

standard deviation = 0.04

45/62 = 0.72

50/62 = 0.80

(a) the probability that the dealership will be fined

p(45 < x < 50) = p(x< 50) - p(x<45)

Z-value for 50 is (0.80- 0.84)/0.04 = -1

p(x<50)= 0.1586

Z-value for 45 is (0.72-0.84)/0.04 = -3

p(x<45) = 0.0013

p(45 < x < 50) = 0.1586-0.0013 = 0.1573

(b) the probability that the dealership will be dissolved

p(x<45) = 0.1586

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2.5 ( x + 8 ) = 3.5x - 4

Answers

Answer:

x = 20

Step-by-step explanation:

Expanding the bracket on the right gives us :

2.5x + 20 = 3.5x - 4

Subtract 2.5x from both sides :

20 = x - 4

Add 4 to both sides :

20 = x

x = 20

Hope this helped and have a good day

i hope this helps !!

-2 = 3x + 8/2 Solve for x.
Simplify your answer as much as possible.

Answers

Answer:

x= -2

Step-by-step explanation:

-2 = 3x + 8/2

-2+2=3x+4+2          (add 2 to both sides)

0=3x+6                          

-6=3x+6-6

3x=-6

x=-6/3

x= -2

or
The radius of a semicircle is 2 millimeters. What is the semicircle's area?

Answers

The area of the semi circle with radius 2mm is 2[tex]\pi[/tex][tex]mm^{2}[/tex]

What is a semi-circle?

A semicircle is formed when a lining passing through the centre touches the two ends on the circle. Thus, by joining two semicircles we get a circular shape.

When a circle is cut into two halves or when the circumference of a circle is divided by 2, we get a semicircular shape.

Area of a semi-circle = [tex]\frac{\pi r^{2} }{2}[/tex]

but radius r = 2mm

substitute r into the area equation, we have

Area of semicircle = [tex]\frac{\pi 2^{2} }{2}[/tex]

Area of semicircle is = 2[tex]\pi[/tex][tex]mm^{2}[/tex]

In conclusion the area of the semicircle is  2[tex]\pi[/tex][tex]mm^{2}[/tex]

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Rain fell at a constant rate for 2 hours on Friday. During that time, the total amount of rain that fell was 3/4 inch. what is the rate, in inches per hour, at which rain fell during that time on Friday?
3 1/3
1 7/8
8/15
3/10​

Answers

The rate, in inches per hour, at which the rain fell during that time on Friday is 3/8 inches per hour.

Time for which the rain fell = 2 hours

The total amount of rain that fell = 3/4 inch

So, in 2 hours, the amount of rain that fell = 3/4

In 1 hour, the amount of rain that fell = 3/8 inches

Hence, The rate, in inches per hour, at which the rain fell during that time on Friday = 3/8 inches per hour.

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Determine whether AB and CD are parallel, perpendicular, or neither for A (-1,-1), B (1,5), C (1,2), D (5,4). Graph each line to verify your answer.

Answers

Answer:

you can do the favour of marking the answer brainlest pls

Can someone help me with this?

Answers

Using multiplication or division, we can have either of the numbers from the operation.

Multiplication and Division of Numbers

multiplication is the repeated addition of numbers. But the rules for multiplication of integers are different from that of addition. It includes three possibilities. They are:

Multiplication between two positive numbers,Multiplication between two negative numbers; andMultiplication between a positive number and a negative number.

The product of two integers with similar sign numbers will always be positive. This means the product of two positive numbers or two negative numbers will always be positive. While the product of a positive number and a negative number (integers with different signs) will always be negative.

In this case, the three numbers are interconnected via arithmetic operation.

135 ÷ 15 = 9

9 × 15 = 135

135 ÷ 9 = 15

So, which ever way we go with, these numbers are connected to each other.

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Express this equation

Answers

Answer: (x+7)^2

(x+7)(x+7)

x times x = x^2

x times by 7 =7x

X times by 7 =7x

7x7 = 49

x^2 + 14x + 49

C The graph
represents the
balance in
Jimena's
checking account
based on the
number of days
since her last
paycheck.

9. The graph can be represented by
y = 450x - 25.
True or False? If false rewrite statement correctly

Answers

Answer:

False

Step-by-step explanation:

The correct answer is y = -25x + 450

A radioactive compound with mass 100 grams decays at a rate of 5.8% per hour. Which equation represents how many grams of the compound will remain after 2 hours?

Answers

[tex]\qquad \textit{Amount for Exponential Decay} \\\\ A=P(1 - r)^t\qquad \begin{cases} A=\textit{current amount}\\ P=\textit{initial amount}\dotfill &100\\ r=rate\to 5.8\%\to \frac{5.8}{100}\dotfill &0.058\\ t=\textit{hours}\dotfill &2\\ \end{cases} \\\\\\ ~\hfill A=100(1 - 0.058)^{2} ~\hfill[/tex]

The equation represents the grams of the compound will remain after 2 hours will be;

⇒ C = 100 (1 - 0.058)²

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

A radioactive compound with mass 100 grams decays at a rate of 5.8% per hour.

And, Time = 4 hours

Now,

Since, We know that;

Amount for Exponential Decay is,

⇒ [tex]C = P (1 - r)^t[/tex]

Where, C is current amount, P is initial amount, r is rate and t is timeeee

Substitute all the values, we get;

The equation represents the grams of the compound will remain after 2 hours will be;

⇒ C = 100 (1 - 0.058)²

Thus, The equation represents the grams of the compound will remain after 2 hours will be;

⇒ C = 100 (1 - 0.058)²

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the quotient of Y and 9 is greater than 4

Answers

i’m not sure what your question is supposed to be

Sarah took a survey asking students if they prefer summer or winter sports. She found that 12 out of 18 students prefer summer sports. Determine what fraction of students prefers winter sports. Write your response in simplest form. Explain how you found your answer.

Answers

Answer: 2/3

Step-by-step explanation:

12 out of 18 prefer summer sports so as a fraction it would be 12/18 = 6/9 = 2/3

Answer:

33.3333%

Step-by-step explanation:

EXPLANATION

Based on the given conditions, formulate: (18-12) ÷ 18

Calculate the sum or difference:[tex]\frac{6}{18}[/tex]

Cross out the common factor:[tex]\frac{1}{3}[/tex]

Rewrite a fraction as a decimal: 0.333333

Multiply a number to both the numerator and the denominator: 0.333333x[tex]\frac{100}{100}[/tex]

Write as a single fraction:[tex]\frac{33.33333x100}{100}[/tex]

Calculate the product or quotient:[tex]\frac{33.333}{100}[/tex]

Rewrite a fraction with denominator equals 100 to a percentage: 33.3333%

Answer: 33.3333%

Find the length of the third side. If necessary, round to the nearest tenth.

Answers

Answer: 17.9

Step-by-step explanation:

Answer: 17.9

Step-by-step explanation:

a = 11c = 21b = ?

[tex]a^{2} +b^{2} =c^{2} \\b^{2}=c^{2}-a^{2} =21^2-11^2=441-121=320\\b=\sqrt{320} =17.8885438[/tex]

Rounded to the nearest tenth would be 17.9.

Solve the equation for y
2.5y = 5x -5

Answers

Answer:

y=2x-2

Step-by-step explanation:

2.5y=5x-5

 /2.5. /2.5

y=2x-2

Hopes this helps please mark brainliest

Answer:

y=2x−2

Step-by-step explanation:

The slope-intercept form is

y=mx+b, where m

is the slope and b

is the y-intercept.y =mx+b

Divide each term in 2.5y=5−5 by 2.5

and simplify. y=2x−2

How to solve this mathematical question

Answers

Answer:

Part B: (0, -6)

Part C: x = -1

Part D: (-1, -8)

Explanation:

see the attached pdf

Rational zeros of polynomial function
Help!

Answers

Zeros of the given polynomial are -2, 2, -3/2, 3/2

What are zeroes of a polynomial?

Zeros of a polynomial can be defined as the points where the polynomial becomes zero as a whole.

Given a polynomial 1/4(4[tex]x^{4}[/tex] - 25[tex]x^{2}[/tex] + 36)

1/4(4[tex]x^{4}[/tex] - 25[tex]x^{2}[/tex] + 36) = 0

(4[tex]x^{4}[/tex] - 25[tex]x^{2}[/tex] + 36) = 0

4[tex]x^{4}[/tex] - 16[tex]x^{2}[/tex] - 9[tex]x^{2}[/tex] + 36= 0

4[tex]x^{4}[/tex]([tex]x^{2}[/tex] - 4) - 9([tex]x^{2}[/tex] - 4) = 0

(4[tex]x^{4}[/tex]-9)([tex]x^{2}[/tex] - 4) = 0

(x+2)(x-2)(2x+3)(2x-3) = 0

x = -2, 2, -3/2, 3/2

Hence, Zeros of the given polynomial are -2, 2, -3/2, 3/2

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Find the image of 4(3, 7) under a translation along the vector (-4, 2).
A'(7,5)
A'(1,-9)
A'(-1,9)
4'(-7,-5)

Answers

The image of A(3, 7) under a translation along the vector (-4, 2) is A'(-1,9).

Given:

A(3,7) under a translation along the vector (-4, 2).

A' = A + (-4,2)

= (3,7) + (-4,2)

= (3+(-4), 7+2)

= (3-4, 9)

= (-1, 9)

Therefore the image of A(3, 7) under a translation along the vector (-4, 2) is A'(-1,9).

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In ΔHIJ, h = 730 cm, i = 390 cm and ∠J=35°. Find the area of ΔHIJ, to the nearest square centimeter.

Answers

The area of the triangle ΔHIJ is 42805 square centimeters.

What is a triangle?

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

We know the area of a given ΔABC can be obtained by (1/2)×a×c×sin(∅/2)

where sin(Ф/2) is the included angle.

Given,  ΔHIJ, h = 730 cm, i = 390 cm and ∠J=35°.

∴ The area of the ΔHIJ is (1/2)×730×390×sin(35/2) square centimeter.

= 142,350×sin(17.5) square centimeter.

= 42805 square centimeters.

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John walks at a constant rate of 8 miles every 3 hours. What is the rate written as miles per hours

Answers

The rate written in miles per hour is 2.67 mph.

What is constant rate?

A rate of change is constant when, at any given point along the function, the ratio of the output to the input remains constant. The slope is another name for the rate of change that is constant. A linear function will change at a constant rate.

Let, John walks at a constant rate of 8 miles every 3 hours.

Therefore, the rate per hour is,

[tex]\frac{8}{3} = 2.6666\\ = 2.67 miles per hour.[/tex]

Therefore, the rate written in miles per hour is 2.67 miles per hour.

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11) Chloe sells her "secret blend" of coffee, which sells for $21.84 per pound. To blend she uses "special dark"
which is $67 per pound and "lightly roasted" which is $14 per pound. She needs 100 pounds of "secret blend"
to sell. How much of each type does she need?

Answers

Answer:

ya  poop in the coffee and then ya see how  many pounds there is find the the type urself

Step-by-step explanation:

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