Two bottle rockets are simultaneously launched on parallel paths, from 5 feet apart on level ground. After 0.1 second, the rockets are at the same height.

Which theorem or definition can you use to show that the rockets are still 5 feet apart 0.1 second after launch?

Help asap please it's due today :)

Answers

Answer 1

Answer:

The definition of parallel lines are lines that have a constant minimum distance between them at any given point along the lines, such that the lines are the same distance apart all through

Therefore, given that we have;

1) The path of the two bottle rockets are parallel,

2) The initial distance between the two rocket on level ground = 5 feet = The perpendicular (shortest) distance between the two rockets

3) The shortest distance between the rockets having the same height moving on parallel path will be constant = 5 feet

4) The height of the two rockets after 0.1 second = Constant = 5 feet

5) Therefore, by the definition of parallel lines, distance between the two rockets which are at the same height after 0.1 second will still be 5 feet

Step-by-step explanation:


Related Questions

A space probe is launched from a platform that is just above 100 meters below sea level. The probe is expected to travel into deep space indefinitely. Write an equality showing the altitude of the probe after it is launched.

Answers

Answer:

x ≤ ∞

Step-by-step explanation:

Let x represent the height of the space probe above sea level in meters.

Initially, before launch, the space probe is launched from a platform that is just above 100 meters below sea level, hence:

x < -100 (the negative sign shows that it is below sea level).

After launch, The probe is expected to travel into deep space indefinitely. Therefore the height of the probe after it is launched is represented by the inequality:

x ≤ ∞

Given h(x) = 2x + 3, what is the value of h(0)?
o 2x
-3
o 3
O 10

Answers

It’s 3 bc you just plug in 0 for x. 2(0)+3=3

Answer:

yes u got t right I think so it's 10

Help me plzzz I don’t understand this

Answers

The correct justification is to multiply each side by -3 where W= -18

..............................................................................

Answers

thank you love <3 greatly appreciated.

If 5 pounds of oranges costs $11.55, how much would it cost for 12 pounds of oranges?

Answers

Answer:

27.72

Step-by-step explanation:

Answer:

12 pounds of oranges would cost $27.72

PLEASE CHECK, THANK YOU

Me and my friends have made a you tube channel that helps you in math if you could please check it out, it is called Evimero Academy

In ΔHIJ, h = 450 cm, i = 210 cm and j=640 cm. Find the measure of ∠I to the nearest degree.

Answers

Answer:

10

Step-by-step explanation:

The measure of an angle∠I  is 10 degrees between the 450 cm and 640 cm sides.

What is the Cosine Rule?

The Law of Cosines (also called the Cosine Rule) is defined as it relates all three sides of a triangle with an angle of a triangle.

c² = a² + b² − 2ab cos(C)

The cosine rule, also known as the law of cosines, relates all 3 sides of a triangle with an angle of a triangle. it relates the lengths of the sides of a triangle to the cosine of one of its angles.

In the given triangle ΔHIJ,

Sides:

h = 450 m

i = 210 m

j = 640 m

The angle of ∠I  is 10 degrees between the 450 cm and 640 cm sides.

According to the cosine rule,

j² = h² + i² − 2ab cos(I)

Substitute the values in the Cosine Rule,

450² = 210² + 640² - 2(210)(640)cos(I)

After solving we get the value of  angle ∠I :

∠I = 9.56038°

Rounded to the nearest degree.

∠I = 10°

Thus, the measure of an angle∠I  is 10 degrees.

Learn more the cosine rule here:

https://brainly.com/question/29717637

#SPJ2

Write an explicit formula that represents the sequence defined by the following recursive formula



HELP IM TIMED

Answers

Answer:

The explicit formula is a[tex]_{n}[/tex] = 5 - 6n

Step-by-step explanation:

The explicit formula of the arithmetic sequence of the recursive formula

a[tex]_{1}[/tex] = first term; a[tex]_{n}[/tex] = a[tex]_{n-1}[/tex] + d is a[tex]_{n}[/tex] = a + (n - 1)d, where

a is the first termd is the common difference between each two consecutive termsn is the position of the number

∵ The recursive formula is a[tex]_{1}[/tex] = -1 and a[tex]_{n}[/tex] = a[tex]_{n-1}[/tex] - 6

→ Compare it with the formula above

a = -1 ⇒ 1st term

d = -6 ⇒ common difference

→ Substitute them in the form of the explicit formula

∵ a[tex]_{n}[/tex]  = -1 + (n - 1)(-6)

∴ a[tex]_{n}[/tex] = -1 + (-6)(n) - (-6)(1)

∴ a[tex]_{n}[/tex]  = -1 + -6n - (-6)

∴ a[tex]_{n}[/tex] = -1 - 6n + 6

→ Add the like term

a[tex]_{n}[/tex] = 5 - 6n

The explicit formula is a[tex]_{n}[/tex] = 5 - 6n


HELP LOL, i dont understand

Answers

Answer:

C

Step-by-step explanation:

Since the lines make a linear pair,

(5x+10)+(2x-5)=180

7x+5=180

7x=175

x=25

now, we just plug in

5(25)+10

125+10

135

if you scored 383 on the critical reading section on the SAT, what is your percentile

Answers

Answer:

20 percentile

Step-by-step explanation:

im sorry for your loss with your bad score.

If the triangles are congruent,
then x =
[?]
13
4x+1
2x+y
8x-2y
Enter the number that belongs in
the green box

Answers

Answer: x = 3

Explanation:
If the two triangle are congruent then all of their sides are also congruent.

4x + 1 = 13
4x = 13 - 1
4x = 12
x = 12/4 = 3
X=3 !!!!!!!!!!!!!!!!!!!!!!!!

I really need help with this.

Answers

A. X+8, y-4

Hope this helps and good luckkk :)

Rectangle ABCD has points at A (4, −2), B(4, 4), C(8, 4), and D(8, −2). After undergoing a transformation, its new points are A'(2, −1), B'(2, 2), C'(4, 2), and D (4, −1). Is the new figure congruent to the old figure? Why or why not?

Answers

Answer:

The new figure is not congruent with the old figure. They are similar

Step-by-step explanation:

Transformations

We are given the vertices of rectangle ABCD and the vertices of rectangle A'B'C'D'.

It can be clearly noted all the coordinates of the second rectangle are half the value of the coordinates of the first rectangle.

This type of transformation corresponds to a dilation across the origin with a scale factor of 1/2.

Since the transformed rectangle is smaller than the first one, it cannot be congruent with it.

But since all the dimensions of this smaller rectangle are proportional to those of the bigger rectangle, they are similar.

PROBLEM: Juan hires an electrician. Juan pays a one-time fee of $30. Juan also pays $45 for each hour the electrician works. A. Write a function that can be used to find the total charge, c, Juan will pay when the electrician works, h, hours. Y=mx+b B. How much will Juan pay if it takes the electrician 6 1/2 hours to complete the job? (Vou should have 9 answers in question 2​

Answers

Answer:

A: C=45h+30

B: C=$322.50

Step-by-step explanation:

A: We'll start with the equation for the total charge. Juan is saying he will pay a one time fee of $30, meaning there is 30 dollars added to what ever the hourly wage is. This can be represented by the +30. Now if "h" represents the variable for which the hourly wage will be calculated, and he pays $45 dollars per hour this will be represented as 45h. As an example if I pay you 2 dollars per hour using the same variable "h", this would be represented as 2h. So if you worked for two hours you would get 4 dollars, this is proven by the fact the 2(2) (remeber im replacing the "h" with the hours you worked) obviously 2 times 2 is 4 proving my point. This information will give you the equation you see above.

B: Onto solving for how much Juan will pay. Now you say youre supposed to have 9 answer but this can't be true. All you need to do is plug the hours given into "h" and solve the equation. It should look something like:

C=45h+30

C=45(6.5)+30

Im using a decimal because it should be clear 1/2=0.5

C= 292.5+30

45x6.5 always go with PEMDAS, we are multiplying first. Then add 292.5 plus 30

This results in the answer of:

C=$322.50

8/12- 3/8 show your work with a quation

Answers

Answer:

Here's how to subtract 3/8 from 8/12:

8

12

3

8

Step 1

We can't subtract two fractions with different denominators. So you need to get a common denominator. To do this, you'll multiply the denominators times each other... but the numerators have to change, too. They get multiplied by the other term's denominator.

So we multiply 8 by 8, and get 64.

Then we multiply 3 by 12, and get 36.

Next we give both terms new denominators -- 12 × 8 = 96.

So now our fractions look like this:

64

96

36

96

Step 2

Since our denominators match, we can subtract the numerators.

64 − 36 = 28

So the answer is:

28

96

Step 3

Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction?

To find out, we try dividing it by 2...

Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:

28

96

÷ 2 =

14

48

Let's try dividing by 2 again...

Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:

14

48

÷ 2 =

7

24

Let's try dividing by 2 again...

Nope! So now we try the next greatest prime number, 3...

Nope! So now we try the next greatest prime number, 5...

Nope! So now we try the next greatest prime number, 7...

Nope! So now we try the next greatest prime number, 11...

No good. 11 is larger than 7. So we're done reducing.

There you have it! The final answer is: 0.29166666666

Solve for x: 3x − 24 = 81 WILL GIVE BRAINLIEST

fifty-seven over three
one hundred five over three
57
105

Answers

Answer:

35

Step-by-step explanation:

Answer:

[tex]x=35[/tex]

Step-by-step explanation:

[tex]3x-24=81\\3x=105\\x=35[/tex]

PLEASEE HELP AND SHOW WORK IF YOU CAN​

Answers

Answer:

M=54.62

O=59.69

N=65.68

Step-by-step explanation:

M is the smallest, and N is the largest:)

you can use cossincalc . com !!

5. There were 30
presents left on Santa's
sleigh. In an unfortunate
incident, in which
Rudolph was unavailable
to lead the sleigh on a
foggy Christmas Eve, 2/6
of the presents fell over
the side when Blitzen led
an evasive maneuver.
How many presents fell
off?

Answers

Answer:10 presents fell off

Step-by-step explanation: to find 2/6 we can start with finding 1/6 because it’s easier. To do that we divide 30 by 6 which equals 5. because 5 is 1/6 5x2 is 2/6 so the answer is 10

Answer:

you put 30 over 1 than you then you 2 over 6 then subtract then

Step-by-step explanation:

so it would look like this

30/1 - 2/6=

3(a + b) - 2a - 2b

simplify the algebraic expression

Answers

Answer:

a + b

Step-by-step explanation:

3(a + b) - 2a - 2b

open the parenthesis

3 * a + 3 * b - 2a -2b

3a + 3b - 2a - 2b

combine like terms

3a - 2a + 3b - 2b

a + b

You’d distribute the 3 to both a and b, which = 3a + 3b - 2a -2b, which would then = a + b. So a + b is the answer

20 point question pls help

Answers

Answer: y = -1/3x - 1

Step-by-step explanation:

Slope-intercept = y = Mx + b

M = slope

B= y

solve for x 15x-2=10x+23

Answers

Answer:

x=5

Step-by-step explanation:15x - 10x -2 = 23

5x= 23 = 2

5x = 5

x=5

Answer:

X=5

Step-by-step explanation:

15x - 2 = 10x + 23

5x - 2 = 23

5x = 25

x = 5

Hope this helps. Pls give brainliest.

0.6¯¯¯ is... irrational because it is a repeating decimal irrational because it can't be written as a fraction rational because it is a decimal that goes on forever without repeating rational because it can be written as a fraction

Answers

Answer:

The number is irrational because it can’t be written as a fraction

Step-by-step explanation:

Here, we want to state why the given number is irrational

Mathematically, an irrational number is one that cannot be expressed as the ratio of two integers

Thus, the reason why the number is irrational is because it can’t be written as a fraction

HELP PLEASE!!!
Sofia spends $36 on groceries each week. If you write down a list of her total spending over
time, what kind of sequence will you have?
A arithmetic
B geometric
C both
D neither

Answers

Answer: A, arithmetic

Step-by-step explanation:

An arithmetic sequence has a constant difference between each term. If she spend 36 dollars each week, the first week would be 36 the second week would be 72, and so on.

Solve problem in photo (8th math)

Answers

A hrhehrhrjrhrrhndndjd

Noah collected five water samples from local streams. Each sample was the same size, and he collected 4.35 liters of water in all. What was the volume of each water sample?​

Answers

Answer:

4.35/5= 0.87 liters

you divide the total by how many to find out what the unit rate is for each sample

Step-by-step explanation:

(-5,-3) (5,-4) slope =

Answers

Answer: -1/10

Step-by-step explanation:

Y2- Y1 over X2 - X1

-4 - - 3 over 5 - - 5

-4 + 3 over 5 + 5

-1 over 10

Help I only got a limited time

Answers

Answer:

Red

Step-by-step explanation:

Y intercept is 1

Slope is -2 (line is going down so the slope is negative)

Answer:

the yellow box

Step-by-step explanation:

Rochelle can run 800 meters in 5 minut
At that rate, how many meters can
Rochelle run in 9 minutes?

Answers

To find how much she can run in one minute we’re going to divide 800 by 5, to which we get 160.

She runs 160 meters in one minute.

We want to know how many meters she can run in 9 minutes.

160 * 9 = 1,440

She can run 1,440 meters in 9 minutes.

Twelve waters cost $9. How many can you buy with $3?

Answers

Answer:

4 bottles of Water

Step-by-step explanation:

First, we need to find how much each water costs. So, I created this equation below.

9/12=?

The answer to the equation is .75, or 75 cents.

So, we can now make yet another equation to find the amount to buy with 3 dollars.

3/.75=?

The answer to that equation is 4.

Thus, the answer is 4 bottles of water.

She works as a waitress at a local Emerald Monday restaurant. Her regular hourly wage is $15.50. She regularly works 40 hours per week. What is her regular weekly pay? If she works 50 weeks each year at this rate, what is her annual salary?

Answers

Answer:

Her regular weekly pay is $62 and her annual salary is $3100.

Step-by-step explanation:

Given that her hourly wage=$15.50 / hour

As she works 40 hours per week, so her weekly pay = 15.50 x 40 = $62/ week.

If she works 50 weeks each year, so her yearly pay = 62x50=$3100 /year.

Hence, her regular weekly pay is $62 and her annual salary is $3100.

QUICK:WILL GET 20 POINTS & BRAINLIEST- Compare and Contrast the incenter and the circumcenter of triangles in detail?

Answers

Answer:

A circle inscribed inside a triangle is called the incenter, and has a center called the incenter. A circled drawn outside a triangle is called a circumcircle, and it's center is called the circumcenter.

Step-by-step explanation:

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