Answer:
13
Step-by-step explanation:
[tex]d=\sqrt{(x2-x1)^{2} +(y2-y1)^{2} } \\d=\sqrt{(-9--4)^{2} +(6--6)^{2} } \\d=\sqrt{25 +144}\\d=\sqrt{169}\\d=13[/tex]
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!!!
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
Solve correctly and I’ll give brainliest.
Answer:
7
Step-by-step explanation:
-2 x 6 = -12
-6/1 ÷ -3/1 = 2
-12 - 2 = -14
-14 ÷ -2 = 7
Find the slope of the line that passes through
(10, 1) and (5,2)
Answer:
-5
Step-by-step explanation:
2 - 1 = 1
5 - 10 = -5
-5 divided by 1 = -5
Your aunt and uncle took turns driving on a 580-mile trip that took 10 hours. Your uncle drove at a constant speed of 60 mph and your aunt drove a constant speed of 55 mph. How long did each person drive?
A. Write the two equations.
B Solve the equations and give both answers.
Answer:
Aunt drove 4 hours
Uncle drove 6 hours.
Step-by-step explanation:
Equations:
580 = 55/x + 60/y
600 = 55x + 60y
Happy Holidays!
what is an equivalent fraction to 3/8 ? Find a common denominator for the pair of fractions. Then, write equivalent fractions with the common denominator. 3/8 and 9/28
Answer:
6 1/6
Step-by-step explanation:
A fraction that is equivalent to 3/8 is 6 1/6
What is the solution for x in the
system of the following
equations?
3x+4 y= 31
3x-4 y=-1
Answer:
5
Step-by-step explanation:
How long will it be from December 18 from 8:25 am to December 24 to 4.30 pm
If 12 oranges cost 5.04 how much does 1 orange cost
ms. daring just finished a 7 mile run.
how long (in minutes) do you think it took ms. daring (she ran cross country in college even though she is more of a sprinter!)
Answer:
11.265 minutes.
Step-by-step explanation:
A minute is about a a kilometer so 7 miles is about 11.265 minutes.
Given the function f(x)= x^4 - 4x^3 -2, determine the absolute minimum value of ff on the closed interval [-2, 4].
Answer:
Absolute Minimum: (3,−29)
Step-by-step explanation:
Merida wrote the table of points below. Which explains whether or not Merida has described a proportional relationship, and why?
Answer:
B
Step-by-step explanation:
When graphed, it doesnt not pass through the origin, but it is completely staight/linear.
Answer:
d
Step-by-step explanation:
Each week, high school students can collect a maximum of 347 cans of food for the town food pantry. What is the maximum number of cans that the high school students can collect in 35 weeks?
10,410 cans
10,415 cans
12,145 cans
12,245 cans
Answer:
12,145
Step-by-step explanation:
If 347 cans is the max PER week, and they have 35 weeks, then all we need to do is multiply 347 times 35.
347*35 = 12,145
The max amount of cans they can collect in 35 weeks is 12,145 cans.
Answer: 12,145
Step-by-step explanation:
Yo can I get some help on this question please
Answer:
x=16
Step-by-step explanation:
x+15=6x-65
x+80=6x
80=5x
16=x
hope this helps :P
Triangle B is a(n) ______________________ of Triangle A?
A) Reduction
B) Enlargement
Answer:
Enlargment
Step-by-step explanation:
About 3% of the population has a particular genetic mutation. 200 people are randomly selected. Find the mean for the number of people with genetic mutation in such groups of 200?
Answer:
6
Step-by-step explanation:
200. Move decimal twice to the left. 1% of 200 is 2. 2*3 is 6.
Solve the following system by using substitution:
x = -3y - 17
2x + 3y = -7
Answer:
x=10 and y=−9
Step-by-step explanation:
Answer:
(x,y) = (10,-9)
Step-by-step explanation:
x=-3y-17
2x+3y=-7
2(-3y-17)+3y=-7
y=-9
x=-3(-9)-17
x=10
3 facts about "What is a Hurricane"?
Just some simple fraction problems, I am stuck on this though.
Answer:
5 1/6 ÷ 4 2/3 = 31/28
3 3/4 ÷ 1 2/8 = 3
4 2/4 ÷ 2 1/4 = 2
5 2/5 ÷ 1 4/5 = 3
4 2/8 ÷ 3 2/4 = 17/4
3 3/9 ÷ 2 4/12 = 10/7
7 1/2 ÷ 3 3/5 = 25/12
6 2/8 ÷ 3 1/3 = 15/8
Explanation:
5 1/6 ÷ 4 2/3 = 31/6 ÷ 14/3 = (31/14) / (6/3) = (31/14) / 2 [when you divide by a certain number you multiply that number by the denominator] = 31/28
5 1/6 ÷ 4 2/3 = 31/6 ÷ 14/3 = 31/6 × 3/14
fasfasdasfsadasfsadsfasdsad
Answer:
Is this just spam?
Step-by-step explanation:
If you need help let me know.
Can anybody help(>v<)
Answer:
-7/10, -0.2, 1/2, 0.7
Step-by-step explanation:
Plzz have brainiest
Find the solution of the system of equations shown on the graph.
Answer:
(7,-6)
Step-by-step explanation:
The solution of the systems of equations is the point where the lines intersect. So just looking at the graph, you can see that the point (7,-6) is where the two lines intersect.
Hope this helps! :)
position to term rule of 2, 6, 10, 14, 18
multiply by _____ and subtract by _____
Answer:
Please check the explanation.
Step-by-step explanation:
Given the sequence
2, 6, 10, 14, 18
An arithmetic sequence has a constant difference and is defined as
[tex]\:a_n=a_1+\left(n-1\right)d[/tex]
compute the differences of all the adjacent terms
[tex]6-2=4,\:\quad \:10-6=4,\:\quad \:14-10=4,\:\quad \:18-14=4[/tex]
The difference between all the adjacent terms is the same.
Thus,
[tex]d=4[/tex]
and
[tex]a_1=2[/tex]
Therefore, the nth term is computed by:
[tex]a_n=4\left(n-1\right)+2[/tex]
[tex]a_n=4n-2[/tex]
Thus, position to term rule of 2, 6, 10, 14, 18 multiply by __4___ and subtract by __2__.
WILL GIVE BRAINLIEST!!
1yd 1ft = _____yd
A. 1 1/12
B. 1 1/2
C. 1 1/6
D. 1 1/3
Answer:
B
Step-by-step explanation:
1 yard and 1 foot = 1 1/2
BRAINLIEST PLEASE
HELPPP ASAP WILL MARK BRAINILEST
Andy is correct! Andy has the function 4, his leading coefficient is negative, and his functions contains zeros. Hope this helps!
Find the total area:
8 cm
16 cm
29 cm
22 cm
Answer: 81, 664 is the total!
Step-by-step explanation:
I need help with this plz percent equations the question is blank % of 35 = 21
Answer:
60%
Step-by-step explanation:
4y+(-2e)+6x
x=98
e=36
y=14
Please help me
Answer:
572
Step-by-step explanation:
4y + (-2e) + 6x
4(14) + (-2(36)) + 6(98)
56 - 72 + 588
-16 + 588
572
Gabrielle is 8 years older than Mikhail. The sum of their ages is 58. What is Mikhail's age?
Answer:
Mikhail is 50 old why because Gabrielle and they said the sum of their age is 58 so that mean Mikhail is older 58-8=50
Step-by-step explanation:
Round 79.045 to the nearest tenth
Answer:79.50
Step-by-step explanation:
In a grocery store, a packet of chips that usually costs $12 is on sale for 30% off. What is the sale price after the discount?
Answer:
3 dollars 6 cents or 3.6
Step-by-step explanation:
you need to divide the 30 percent by the twelve dollars to get your answer