GEOMETRY-TRIG

Rampy Ronald is fixing to make a jump with his dirt bike across an 80-foot ravine full of lava. The ramp he’s going to hit to make the jump is 15 feet long, forms a 30° with the ground and ends 5 feet from the edge of the ravine. That said, if he hits the ramp at his bike’s full speed of 60mph, he’ll reach a maximum height of 30 feet.

6. From the start of the ramp to when he reaches his maximum height, how far will Rampy Ronald have traveled horizontally?

7. Is Rampy Ronald going to make the jump, or is he fixing to land in the ravine of lava and become Roasty Ronald? Give geometric constructions backed by mathematics to support your reasoning!!!

Answers

Answer 1

Answer:

6. The distance Rampy Ronald would have travelled horizontally is approximately 48.428 feet for an actual maximum height of 21.486 feet

7. Rampy Ronald is going to make the jump

Please find attached the graph of the motion of Rampy Ronald, created with Microsoft Excel

Step-by-step explanation:

6. The given parameters are;

The width of the ravine = 80 ft

The inclination of the ramp with which Rampy Ronald will jump = 30°

The distance from the edge of the ravine the ramp ends = 5 feet

The speed with which Rampy Ronald will make the jump = 60 mph

The maximum height he will reach = 30 feet

Therefore, we have;

The height of the end of the ramp = 15 × sin(30°) = 7.5

The height of the end of the ramp = 7.5 feet

The height of the jump = 30 - 7.5 = 22.5

The vertical velocity = 60 × sin(30°) = 30

The vertical velocity = 30 mph

The horizontal velocity = 60 × cos(30°) = 30·√3

The horizontal velocity = 30·√3 mph

From the kinematic equation, v² = u² - 2gh, we have;

u² = 2gh

h = u²/2g = 900/(2 × 32.17405) ≈ 13.986

The maximum height reached 13.986 + 7.5 = 21.486

From v = u - gt

t = u/g = 30/32.17405 ≈ 0.932

t  ≈ 0.932 s

The distance Rampy Ronald would have travelled horizontally = 30·√3 × 0.932 ≈ 48.428

The distance Rampy Ronald would have travelled horizontally ≈ 48.428 feet

7. The time before Rampy Ronald reaches ground level again, is given by the following relation;

h = 1/2·g·t²

21.846 = 1/2 × 32.17405 × t²

t = √(21.846/16.087025) ≈ 1.165

t ≈ 1.366 s

The horizontal distance traveled is therefore;

The horizontal distance traveled from maximum height is 30·√3 × 1.165 ≈ 60.535

The horizontal distance traveled from maximum height is ≈ 70.979 feet

The total horizontal distance traveled ≈ 48.428 + 60.535 = 108.963

The total horizontal distance traveled ≈ 108.963 feet

The total horizontal distance required to make it across the ravine = 5 feet + 80 feet = 85 feet

Therefore, Rampy Ronald is going to make the jump

GEOMETRY-TRIGRampy Ronald Is Fixing To Make A Jump With His Dirt Bike Across An 80-foot Ravine Full Of

Related Questions

Why 27 is not a prime

Answers

Answer:

27 isn't a prime because of the fact that it can be divided by 27.

And for your information, Prime numbers are numbers that can't be divided by any number other than 1 and itself.

Hope it helps.

Hey there!

- Fact/Side note: A “Prime Number” is basically a number that is LARGER THAN one but it has about approximately 2 factors which it has to either be 1 or the number by itself.

Anyways, now that we broke down the definition better, we can ANSWER your question!

• Answer: The number “27” isn’t considered a prime number because it isn’t CAPABLE OF BEING to DIVIDE by 1 or itself.

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Anyone want to help me with this? I will mark brainliest and thanks

Answers

Answer:

x = -8

m∠BDC = 68°

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Geometry

Definition of a Line: A line is 180°

Step-by-step explanation:

Step 1: Set up Equation

m∠BDC + m∠CDA = 180°

(-7x + 12)° + (-8x + 48)° = 180°

Step 2: Solve for x

Combine like terms:                    -15x + 60 = 180Isolate x term:                              -15x = 120Isolate x:                                       x = -8

Step 3: Find m∠BDC

Define:                    m∠BDC = (-7x + 12)°Substitute in x:       m∠BDC = (-7(-8) + 12)°Multiply:                  m∠BDC = (56 + 12)°Add:                        m∠BDC = 68°

board sum (-4)+1=x+(-4)

Answers

x=1

i gues dont know

hav nice day✌

Use the order of operations to evaluate: −7.6 − 2[9 + (−6.8)] First, simplify the parentheses: [9 + (−6.8)] = 2.2. Now the expression is: −7.6 − 2(2.2). Since there are no exponents in this problem, the next step is ✔ (- 2)2.2 . Simplify the previous step and you get ✔ -7.6 – 4.4 . The final answer is

Answers

Answer:

-12.0

Step-by-step explanation:

From the above question, we are given:

−7.6 − 2[9 + (−6.8)]

We apple the PEDMAS rule

P = Parentheses, Hence:

Step 1

The first step is to simplify the parentheses

[9 + (−6.8)] = 2.2.

Step 2

We now have:

−7.6 − 2(2.2).

Step 3

We simplify Parentheses again

(- 2)2.2 = -4.4

Step 4

We simplify

-7.6 - 4.4

= -12.0

The final answer is 12.0

have a nice day, good luck

first to answer gets brainlest <33

Answers

Awww man the other person answered before me :(

what is the slope of the line?

Answers

Answer:

No Solution

Step-by-step explanation:

Slope is rise/run

rise = 1

run = 0

you can't divide by 0 so no solution

Answer:

The slope of the line is undefined.

Step-by-step explanation:

The slope of a line is given by [tex](y_2-y_1)/(x_2-x_1)[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points on the line. Since this is a vertical line, [tex]x_2-x_1[/tex] will, however, be equal to zero. We cannot divide by zero, so the slope of the line is not defined.

HELP! i'll give brainliest just please help me ;(

Answers

12. SAS
And 14 is either SAS or none. The rest are correct

A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the maximum height reached by the rocket, to the nearest tenth of a foot. y=-16x^2+227x+109

Answers

Answer: y=914.1 feet max height

Step-by-step explanation:

PLEASE ANSWER‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️

Answers

Answer:

x-intercept = 9 y-intercept = 5

Step-by-step explanation:

Sorry I didn't know what subject to put this in but Please help I really do need it u don't have to tho
Which fitness test measures the strength and flexibility of the lower back?
A.
Walk/Run test
B.
Curl ups
C.
Sit and Reach
D.
Trunk Lift

Answers

Answer:

Curl ups

Step-by-step explanation:

I'm not 100% sure, but it seems like the most logical answer to me.

Answer:

Trunk Lift

Step-by-step explanation:


What is the value of 10(4-7)/-(4-1)?
0-10
O 6
O 6
O 10

Answers

Answer:

10

Step-by-step explanation:

1. Over a 4-month period, among 30 people with bipolar disorder, patients who were given
a high dose (10g/day) of omega-3 fats from fish oil improved more than those given a
placebo. (Archives of General Psychiatry 56 (1999): 407)

Answers

Answer:

Over a 4-month period, among 30 people with bipolar disorder, patients who were given a high dose (10 g/day) of omega-3 fats from fish oil improved more than those given a placebo.

Step-by-step explanation:

Wanna chat add me as a friend OR COME TO Snap (ADAMBELAL839)

Jin's mother estimates there is a half-gallon of fruit punch remaining in the container. There are actually 72 ounces of fruit punch in the container. Find the percent error of Jin's mother's estimate. Round the percent to the nearest tenth if necessary HELP DUE IN 10 MINUTES

Answers

Answer:

89%

Step-by-step explanation:

the real answer is 64 fluid ounces

64/72*100 which is 88.89% or 89%

Hope this helps plz hit the crown :D

The percent error of Jinn's mother's estimate is 11.12%.

What is Percentage Error?

The degree to which a measured or calculated value is closest to its true value is measured by its accuracy. The error percentage is calculated by multiplying the error to real value by 100. The repeatability of a set of measurements is gauged by the precision of each measurement.

Given that Jinn's mother estimates there is a half-gallon of fruit punch remaining in the container. Therefore, the estimated amount can be written as,

Estimated amount = 0.5 gallons = 0.5 × (128 ounces) = 64 ounces

It is also given that there are actually 72 ounces of fruit punch in the container. Therefore, the percent error of Jin's mother's estimate is

Percentage Error = [ |Estimated value - Real Value| ) /Real Value] × 100%

                             = [( |64 ouches - 72 ounces| )/72 ounces] × 100%

                             = [(8 ounces)/72 ounces] × 100%

                             = 0.11111 × 100%

                             = 11.12%

Hence, the percent error of Jinn's mother's estimate is 11.12%.

Learn more about the Percentage Error here:

https://brainly.com/question/28746643

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At the beginning of the month, Arnold’s bank account balance was $217.25. During the month he made deposits of $49.58 and $105.75 and a withdrawal of $25.45. What was Arnold’s bank balance at the end of the month?

Answers

the answer is: $347.13
347.13 dollars is the answer

Graph
Y=3/4x - 1/2
Pleaseeeee help!!

Answers

I’m not 100% sure kind of a guess but I would x=2/3. Good luck
Ok let me help hope this works 3/4 x 1/2= 2/3

hey hello, please help

Answers

Answer:

2/10 3/10 4/10 5/10 6/10

Step-by-step explanation:

add one each time or go up every number.

Select the correct answer.
Janet sells custom artwork online. Her business profits for the month of August are shown in the table.

Week Profit
week 1 $56.92
week 2 -$16.54
week 3 $45.58
week 4 -$21.74

How much more profit did Janet make in week 2 than in week 4?
A.
-$38.28
B.
-$5.20
C.
$5.20
D.
$38.28
E.
$40.25

Answers

Answer:

B. -5.20.

Step-by-step explanation:

We can see that Janet made more in week 4 then in week 2, so that means the answer will have to be a negative. To find the exact answer, we take away 21.74 from 16.54. This gets us -5.2, which is equivalent to -$5.20. I hope this helps!

5.29 justa subrast the two

Please help me with this question.​

Answers

Answer:

Monica = 48.50

Samuel = 24.25

Kara = 17.25

Step-by-step explanation:

First you write equations as you are reading the text:

m = 2s ("Monica earned twice as much as Samuel")

s = k+7 ("Samual earned 7 more than Kara")

m = 48.50

Next, you convert these equations to solve for s and k respectively.

So, if m=2s, then s=m/2:

s = m/2 = 24.25

Likewise, if s=k+7, then k=s-7

k = s-7 = 17.25

The difference between greatest and least is 48.50 - 17.25 = 31.25

In a classroom of 20 students, 70% of them have brown eyes. If a teacher picks two students at random to pass out supplies, what is the probability he chooses two students without brown eyes?​

Answers

Answer:

6/20 can I get brainliest pleast

Step-by-step explanation:

[tex] \frac{70}{100} \times 20 = 14 \\ 20 - 14 = 6 \\ [/tex]

there is a chance that the teacher will pick a student without brown eyes 6/20 times

(Timed) Solve the system of equations work shown

Answers

Answer:There are 2 ways to solve this system: by substitution or by graphing. I will solve this system using both.

Substitution Method

For x:

[tex]y = \frac{5}{4}x - 2\\y = -\frac{1}{4}x + 19\\\\\frac{5}{4}x - 2 = -\frac{1}{4}x + 19\\\\\frac{3}{2}x - 2 = 19\\\\\frac{3}{2}x = 21\\\\x = 14[/tex]

For y:

[tex]y = \frac{5}{4}(14) - 2\\\\y = 17.5 - 2\\\\y = 15.5[/tex]

Solution:

[tex](14, 15.5)[/tex]

Graphing Method

According to this graph, the solution will be [tex](14, 15.5)[/tex].

10 POINTS NEED HELP ASAP

Answers

Answer:

I believe it is D

Step-by-step explanation:

Hope this helps!

Find the distance between (-2.8) and (11, 2). Round to the nearest hundredth 14.32 13.58 12.58 13.04 None of the other answers are correct​

Answers

Answer:

14.32

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra II

Distance Formula: [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Step-by-step explanation:

Step 1: Define

Point (-2, 8)

Point (11, 2)

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

Substitute [DF]:                     [tex]d = \sqrt{(11+2)^2+(2-8)^2}[/tex]Add/Subtract:                       [tex]d = \sqrt{(13)^2+(-6)^2}[/tex]Exponents:                            [tex]d = \sqrt{169+36}[/tex]Add:                                      [tex]d = \sqrt{205}[/tex]Evaluate:                               [tex]d = 14.3178[/tex]Round:                                  [tex]d \approx 14.32[/tex]

PLEASE HELP! BRAINLIEST to correct answer!!!

Answers

Answer:

What do you need help with?

Explanation:

There is no question
Um I don’t mean to take points but I don’t see a question, but I hope that you do get help! Also have a good night ☺️

the radius of the base of a cylinder is 10 centimeters, and urs height is 20 centimeters. a cone is used to fill the cylinder with water. the radius of the cone base is 5 centimeters, and it’s height is 10 centimeters the number of times one needs to use the completely fillies cone to completely fill the cylinder with water is

Answers

Answer:

The answer is 24 times

FERRIS WHEEL Suppose a Ferris wheel is 160 feet high and casts a shadow that is 64 feet long. At the same time, a ticket booth next to the Ferris wheel casts a shadow that is 2.8 feet long. What is the height of the ticket booth?

Answers

Answer:

7 feet

Step-by-step explanation:

Suppose a Ferris wheel is 160 feet high and casts a shadow that is 64 feet long. At the same time, a ticket booth next to the Ferris wheel casts a shadow that is 2.8 feet long. What is the height of the ticket booth?

We solve this question

Length of shadow/Height

Ferris wheel = Ticket booth

64 feet/160 feet = 2.8 feet/x

Cross Multiply

64x = 160 × 2.8

x = 160 × 2.8/64

x = 7 feet

The height of the ticket booth is 7 feet


Jonathan opened a savings account with $5500 and made no further
deposits. If the account pays3.5% simple interest, how long will it take until
the value of his account reaches $6655? *
a. 3.5 years
b. 6 years
c. 5.54 years
d. 6.5 years

Answers

C. 5.54 years
Explanation: took the test

It takes 6 years to reach $6655.

What is Simple interest?

Simple interest is a quick and simple formula for figuring out how much interest will be charged on a loan. The daily interest rate, the principle, and the number of days between payments are multiplied to calculate simple interest.

The formula written out is "Simple Interest = Principal x Interest Rate x Time."

Given:

Amount= 6655

Principal = 5500

Interest rate= 3.5%

So, Amount= P( 1 +rt)

6655 = 5500 (1 + 0.035t)

6655/5500 = 1 +0.035t

1.21 - 1= 0.035t

0.21 / 0.035 = t

t= 6 years

Hence, it takes 6 years to reach $6655.

Learn more about Simple Interest here:

https://brainly.com/question/25845758

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Kym switched cell phone plans. She signed up for a new plan that will save her $3.50 per month compared to her old cell phone plan. The cost of the new phone plan for an entire year is $294. How much did Kym pay per month under her old phone plan?

also merry early Christmas

Answers

Answer:

Hi there,

$294 per year = $24.50 per month

Kim paid $24.50 + $3.50 = $28 per

month with her old phone plan.

Hope this helps :-)

Step-by-step explanation:

plllllzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz helppppppp

Answers

Answer:

Its C

Step-by-step explanation:

All you have to do is divide 90.2 by 11

Answer:

c

Step-by-step explanation:

simplify the expression (x to the 12 power) to the 3 power

Answers

Answer:

Step-by-step explanation:

To simplify this, I can think in terms of what those exponents mean. "To the third" means "multiplying three copies" and "to the fourth" means "multiplying four copies". Using this fact, I can "expand" the two factors, and then work backwards to the simplified form. First, I expand:

(x3)(x4) = (x‍x‍x)(x‍x‍x‍x)

Now I can remove the parentheses and put all the factors together:

(x‍x‍x)(x‍x‍x‍x) = x‍x‍x‍x‍x‍x‍x

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This is seven copies of the variable. "Multiplying seven copies" means "to the seventh power", so this can be restated as:

x‍x‍x‍x‍x‍x‍x = x7

Mike and Thomas were making Lego towers. Mike stacked 249 Legos for his tower. Thomas had stacked twice as much as Mike. How many Legos did Thomas use for his tower? Write you answer in a complete sentence.

Answers

Answer:

498

Step-by-step explanation:

So,if mike stacked 249 legos and thomas did twice as much that means x2 so if you do 249 x2 you get 498.

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