I need help please (22 points or more in the future)

A rocket lifted off from a launch pad and traveled vertically 30 km, then traveled 40 km at 30 degrees from the vertical, and th

nika2105 [10]

Well, we are told that in the beginning, it has traveled 30km vertically, so do not forget to add that on at the end.

Next it says that it traveled 40km 30 degrees from vertical, so we set up a sin equation to solve for the missing side, n:

sin(angle)= opposite/hypotenuse:

sin(30) = n/40

40sin30=n

n=20km

Then it says at an angle of 45 degrees, it goes 100km. This means that we are given the hypotenuse of a right triangle, and we need to find the side that goes up and down. We shall call this length x.

We know that the angle opposite x is 45 degrees.

So, we will use sin to solve for x:

sin(angle)= opposite/hypotenuse

sin45= x/100

100sin45=x

x=70.711km

But remember, I said not to forget about that 30km from the very beginning? So we add up all of our vertical heights:

30km + 20km+ 70.711km = 120.711km

3 0

3 years ago

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Which number line shows the solution to the inequality -2(3x-1)<8

Zigmanuir [339]

Answer:

$x > -1$

Step-by-step explanation:

Given

$-2(3x - 1) < 8$

Required

Show on a number line

$-2(3x - 1) < 8$

Divide through by -2

$\frac{-2(3x - 1)}{-2} < \frac{8}{-2}$

$3x - 1 > -4$

Add 1 to both sides

$3x -1 + 1 > -4 + 1$

$3x > -3$

Divide through by 3

$x > -1$

<em>See Attachment for number line</em>

6 0

3 years ago

The digits 1, 7, and 8 and 2 copies of the digit 5 are all arranged to form a 5-digit integer. How many different integers can b

viktelen [127]

Step-by-step explanation:

You have 5 digits.Youdonot say if duplication is allowed. I will assume not

For the first digit you have 5 choices. One of the 5 digits is gone.

You now have 4 digits to choose from. You pick one. Now you have but 3 left.

The total answer if 5*4*3*2*1 = 120

3 0

3 years ago

Find the GCF <br> 1. 20 and 60 2. 81 and 27 show you work

Liono4ka [1.6K]

Answer:1. 20

2.27

Step-by-step explanation:

1. 20* 3 = 60

2.27* 3 = 81

8 0

3 years ago

Alison is learning how to walk. 50% of the time that she takes a step she falls down. Her older brother wants to design a simula

MissTica

Answer with explanation:

Alison is learning how to walk.50% of times she takes a step she falls down.

Probability of falling down in next step $=\frac{50}{100}=\frac{1}{2}$

Probability of not falling down in next step $=\frac{50}{100}=\frac{1}{2}$

From ,the four option given,we have to find the best simulation which her older brother wants to design a simulation to find the probability that she will fall down 5 out of the next 7 times she tries to take step.

While Simulating the Probability of falling down should be $=\frac{5}{7}$

And , probability of not falling down $1-\frac{5}{7}=\frac{2}{7}$

→→⇒F=Falling, NF=Non Falling

A) Roll a die letting 1 represent Alison falling and 2-6 represent Alison not falling. Roll the die five times.

$P(F)=\frac{1}{6},P(NF)=\frac{5}{6}$

Incorrect option,probabilities of falling and non falling does not match with Actual probability of falling and non falling.

B) Roll a die letting 1 represent Alison falling and 2-6 represent Alison not falling. Roll the die seven times.

$P(F)=\frac{1}{6},P(NF)=\frac{5}{6}$

Incorrect option,probabilities of falling and non falling does not match with Actual probability of falling and non falling.

C) Let Heads represent Alison falling down and Tails representing Alison not falling down. Flip the coin five times.

$P(F)=\frac{1}{2},P(NF)=\frac{1}{2}$

Simulation is done only five times , that is coin has been flipped only five times.it must have been flipped seven times.Incorrect option.

D) Let Heads represent Alison falling down and Tails representing Alison not falling down. Flip the coin seven times.

$P(F)=\frac{1}{2},P(NF)=\frac{1}{2}$

Simulation is done seven times , that is coin has been flipped seven times.So,she should fall 5 times that is head should appear 5 out of seven times, and tail should appear 2 out of seven times.correct option.

Option D

4 0

3 years ago

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