You're flying from Joint Base Lewis-McChord (JBLM) to an undisclosed location 201 km south and 194 km east. Mt. Rainier is located approximately 56 km east and 40 km south of JBLM. If you are flying at a constant speed of 800 km/hr, how long after you depart JBLM will you be the closest to Mt. Rainier?
Answer:
The answer is "0.0846276476".
Step-by-step explanation:
Let all the origin(0,0) of JBLM be
Let the y-axis be north along with the vector j unit.
But along the + ve x-axis is east, and all along with the vector unit i.
And at (194,-201) that undisclosed position is
Mt. Ris (56,-40) at
Let the moment it gets close to the Mt. rainier bet.
Oh, then,
If we know, the parallel to the direction from the point was its nearest one to a path to a point,
Calculating slope:
[tex]\to m=\frac{y_2-y_1}{x_2-x_1}\\[/tex]
points: (0,0) and (194,-201)
[tex]\to m=\frac{-201 -0 }{194-0}\\\\\to m=\frac{-201}{194}\\\\\to m=-1.03[/tex]
equation of the line:
[tex]\to y= mx+c\\\\\to y= -1.03\ x+c[/tex]
when the slope is perpendicular= [tex]-\frac{1}{m}[/tex]
[tex]= - \frac{1}{ -1.03}\\\\= \frac{1}{ 1.03}\\\\= 0.97[/tex]
perpendicular equation:
[tex]\to y-(-40)=0.97 \times (x-56) \\\\\to y+40=0.97 \times (x-56) \\\\[/tex]
Going to solve both of the equations to have the intersection point,
We get to the intersect level in order to be at
(47.16,-48.5748)
so the distance from origin:
[tex]= \sqrt{(47.16^2+48.5748^2)}\\\\= \sqrt{2224.0656 + 2359.5112}\\\\=\sqrt{4583.5768}\\\\=67.7021181[/tex]
[tex]\to time =\frac{distance }{speed}[/tex]
[tex]= \frac{67.7021181}{800}\\\\= 0.0846276476[/tex]
Solve the following absolute value equation
| x+5 | = 11
Answer:
X is 6 or -6
Step-by-step explanation:
In absolute value it makes everything positive
Answer:
x = 6
Step-by-step explanation:
Simplify: x + 5 = 11Subtract 5 from each side, so it now looks like this: x = 6I hope this helps!
which is the choice to the inequality below?
x/6>7
Answer:
[tex]x > 42[/tex]
Step-by-step explanation:
[tex]\frac{x}{6} > 7[/tex]
Multiply 6 on both sides. [tex]6(\frac{x}{6}) > 6(7)[/tex].
Simplify it. [tex]x > 42[/tex]
Therefore, the answer is [tex]x > 42[/tex].
Hope this helped! If not, please let me know! <3
The following scores represent students' test grades in Ms. Orr's science class. Test Scores 78 81 78 81 78 81 78 81 78 87 91 87 91 87 91 87 91 87 What is the median score for Ms. Orr's science class?
plsss help mee
Answer:
Its definitely B 84.5
I took the test
Step-by-step explanation:
Answer:
87
Step-by-step explanation:
The median score is the score that appears in the middle of the graph and the set of numbers. 87 is the median score.
Geometry
Please help
Explain what is square root in simple form using example.
If something is written in its simplest radical form, that means that you have already found all possible roots and eliminated any radicals from the denominator of a fraction. ... For example, if your fraction is 2/√7, multiply by √7/√7 to get 2√7/√49. This will simplify to 2√7/7. hope this helps
Answer:
Square roots are the opposite of “squaring” a number, or multiplying it by itself. For example, three squared is nine (3 2 = 9), so the square root of nine is three. In symbols, this is √9 = 3. The “√” symbol tells you to take the square root of a number, and you can find this on most calculators.
Step-by-step explanation:
hope it helps
HELP ME PLEASE 10 POINTS PLEASE PLEASE
Answer:
That picture is quite blurry. If you could add a new image in the comments, I could help you ASAP.
Step-by-step explanation:
I need help answer this Question!
-6+3(-4-2x)>=-16-6x
There is no solution for that problem....
The mass of a teapot and 4 cups is 1,280 grams. The mass of the same teapot and 10 cups is 2,720 grams. Each cup has the same mass. What is the mass of the teapot?
Answer: 320 grams
Step-by-step explanation:
Let the mas of the teapot be denoted by a
Let the mass of the cups be denoted by c
The question can be turned into an equation which will be:
a + 4c = 1280 ......... equation i
a + 10c = 2720 ........ equation ii
Subtract equation i from ii
6c = 1440
c = 1440/6
c = 240 grams
The mas of the cup is 240 grams
From equation i
a + 4c = 1280
a + 4(240) = 1280
a + 960 = 1280
a = 1280 - 960
a = 320 grams
The mass of the teapot is 320 grams
The student council has a budget of $100 to spend on the balloons for the holiday dance. They order from a company that charges $2 per ballon, plus a $12 delivery fee per order. The student council uses the inequality below, where b represents the number of balloons ordered, to determine if they have enough money to place an order for a specific number of books. 2b+12<100
Answer:
44 BalloonsStep-by-step explanation:
We are expected to solve for the total number of balloons they can get with $100
given that the expression for the total cost of balloons is given as
2b+12<100
We can proceed to solve for the total number of balloons they can buy, by solving for b we have
2b+12=100
2b=100-12
2b=88
divide both sides by 2 we have
2b/2=88/2
b= 44
Therefore they would get a total of 44 balloons
Mike is 5 years old and Randy is 8 years old. Select all proportional relationships that have the same ratio to that of Mike and Randy's
age.
Jenna and Jamie are 13 years old.
Answer:
The ratio is multiplying 1.6 so just pick all the proportional relationships where you have to multiply by 1.6.
Step-by-step explanation:
Proportional relationships man you have to multiply, but since I didn't know what you multiplied 5 to get to 8 I divided.
8÷5=1.6
And if you want to check your answer then multiply.
5×1.6=8
Could I please have BRAINLIEST?
Kayla drives 144 miles in 3 hours. Kendra drives 224 miles in 4 hours. How much faster does Kendra drive on average?
Answer:
5mph faster
Step-by-step explanation:
Kayla is going 48 mph because 144/3 is 48
Kendra is going 53mph because 224/4 is 53
53-48=5
8 miles/hour Kendra drives faster than Kayla.
Given that, Kayla drives 144 miles in 3 hours. Kendra drives 224 miles in 4 hours.
We need to find out how much faster Kendra drive on average.
How to calculate the speed?The formula for speed is speed = distance ÷ time. To work out what the units are for speed, you need to know the units for distance and time.
Now, the speed of Kayla=144/3 = 48 miles/hour
The speed of Kendra=224/4 = 56 miles/hour
So, the difference in speed between Kendra and Kayla=56-48=8 miles/hour.
Therefore, 8 miles/hour Kendra drives faster than Kayla.
To learn more about the speed visit:
https://brainly.com/question/7359669.
#SPJ2
Suppose x, y, and z are all rational numbers. Is
a rational number? Explain
2
your answer.
O Yes; the square and square roots cancel out, leaving a rational number.
There is not enough information to answer the question.
O No; the square root of any number is irrational.
O No; a quotient of rational numbers is not always rational.
Which of the binomials below is a factor of this trinomial?
6x2- 5x-25
A. 2x-5
B. 6x-5
O C. 6x + 5
D. 2x + 5
Answer:
A. 2x-5
Step-by-step explanation:
(2x-5)(3x+5)
Hope this helps!
Answer:
A. 2x-5
Step-by-step explanation:
How do you find range and domain
Answer:
another way to identify the domain and range of functions is by using graphs. because the domain refers to the set of possible input values z the domain of a graph consists of all the input values shown on the x-axis. the range is the set of possible output values, which are shown on the y-axis.
What is the equation of this line?
y=12x−2
y=−12x−2
y=2x−2
y=−2x−2
A pod of dolphins contains 800 dolphins of different ages and lengthens. The median length of dolphins in this pod is 5.8 feet. What info does does this tell you about the length of dolphins in this pod?
The median represents the middle value of the data 5.8 feet will be the middle value.
What is the median?The median represents the middle value in a dataset. The median is important because it gives us an idea of where the center value is located in a dataset. The median tends to be more useful to calculate than the mean when a distribution is skewed and/or has outliers.
Given that apod of dolphins contains 800 dolphins of different ages and lengthens. The median length of dolphins in this pod is 5.8 feet.
From the definition, we can see that of the 800 dolphins the length of the middle dolphin is 5.8 feet because it is a median and the upper values will be greater than 5.8 feet and below it all the dolphins will have smaller lengths.
Therefore, the median represents the middle value of the data 5.8 feet will be the middle value.
To know more about median follow
https://brainly.com/question/23962563
#SPJ2
PLZ HELP MEEEE, will give brainliest
Answer:
It is either B or D but i would say B
Step-by-step explanation:
what is 2x+54+4x-6=180
Answer:
=22
Step-by-step explanation:
Subtract the numbers
2+54+4−6=180
2+48+4=180
Combine like terms
2+48+4=180
6+48=180
Subtract 48 from both sides of the equation
6+48=180
6+48−48=180−48
Simplify
Subtract the numbers
Subtract the numbers again
6=132
Divide both sides of the equation by the same term
6=132
6/6=132/6
Simplify
Cancel terms that are in both the numerator and denominator
Divide the numbers
=22
Solution
=22
BRAINLIEST PLEASE!
Let g(x) = x2 + 4x - 1. Evaluate for g(-1)
Answer:
-7
Step-by-step explanation:
x2 + 4x - 1
(-1)2 + 4(-1) - 1
-2 + -4 - 1
-7
9/28 help me with math please
hope this helps broski
❤❤❤
Identify the domain of these ordered pairs from least to greatest:
Answer:
(0,5)
Step-by-step explanation:
you are supposed to take the lowest and highest numbers of the x values and then that would be your domain
2. Find m 21.
(1 point)
339
579
21
O 147°
123°
90°
57°
Answer:
90°
Step-by-step explanation:
33+57=90
180-90=90
Answer Fast Please And Thank You
Answer:
a d
Step-by-step explanation:
maybe
i need help with this q7
Answer:
Yes, it is a proportional relationship!
Step-by-step explanation:
Explain why three-dimensional graphs can be misleading. What would be a better type of graph to
use?
three-dimensional graphs wouldn´t give you the right information but two-dimensional graphs would give you the actual size of the shape.
Can someone please help me.
Answer:
linear
Step-by-step explanation:
to be a linear equation it needs to have consistent rate of change for x and y. its constant for x at +4 but not for y at +16 +8 and +16
My rank is 27 out of 667 students for my senior class...what rank would I be considered? Top 10th, top quarter, top half, or bottom half. (I filling this out for an app btw)
Find pairs of points with a slope of ²/₅
Answer:
Look below
Step-by-step explanation:
To find a slope with 2/5, you can use y2 - y1/x2 - x1. The 1 and 2's can be different but you cannot mistake the x and y.
1st example:
(1, 5), (6, 7)
Reason: (7-5)/(6-1) = 2/5
2nd example:
(2, 8), (7, 10)
Reason: (10 - 8)/(7 -2) = 2/5
3rd example:
(5, 2), (10, 4)
Reason: (4-2)/(10 -5) = 2/5
Hope this helped!!!!!
PLEASE HURRY, MARKING BRAINLIEST.
Solve for the value of x that makes lines a and b parallel.
Answer:
x=16
Step-by-step explanation:
if the lines were parallel then that means that (7x+2) = (8x-14) because they are corresponding angles. just isolate the varible so subtract 7x from both sides and add 14 to both sides. and they you get x=16