A boy leaves station X on a bearing of 035' to station Y. which is 21km away. He then travels to another station Z on a bearing of 125 degrees . If Z is directly East of X, what is the distance from X to his present position?
Answers
9514 1404 393
Answer:
36.6 km
Step-by-step explanation:
We assume the initial bearing of the boy is 35°. Then he will make a 90° turn to a heading of 125°. A diagram shows the distance of interest is the hypotenuse of a right triangle in which 35° is the angle opposite the side of length 21 km.
The relevant trig relation is ...
Sin = Opposite/Hypotenuse
sin(35°) = (21 km)/XZ
XZ = (21 km)/sin(35°) ≈ 36.61 km
The distance from X to Z is about 36.61 km.
_____
The attached diagram has the angles measured in the usual way for a Cartesian plane: CCW from the +x axis. This will correspond to bearing measures if we relabel the axes so that +x is North, and +y is East.
Related Questions
The lifespan, in years, of a certain computer is exponentially distributed. The probability that its lifespan exceeds four years is 0.30. Let f(x) represent the density function of the computer's lifespan, in years, for x>0. Determine an expression for f(x).
Answers
Answer:
The correct answer is "[tex]0.300993e^{-0.300993x}[/tex]".
Step-by-step explanation:
According to the question,
⇒ [tex]P(x>4)=0.3[/tex]
We know that,
⇒ [tex]P(X > x) = e^{(-\lambda\times x)}[/tex]
⇒ [tex]e^{(-\lambda\times 4)} = 0.3[/tex]
∵ [tex]\lambda = 0.300993[/tex]
Now,
⇒ [tex]f(x) = \lambda e^{-\lambda x}[/tex]
By putting the value, we get
[tex]=0.300993e^{-0.300993x}[/tex]
When you compute with decimals you should always check your answer is reasonable why
Answers
Answer:
Ang pangit mo
Kamuka mo Yong clown
I need help. What’s the answer and how do you do this?
Answers
One of the sides of figure A is 4 units, Same side for Figure B has TWO units.
Which is basically half the size of the original (figure A)
[tex]\frac{d}{dx} (2^x)=\\[/tex]
Answers
Hello,
[tex]\dfrac{d(2^x)}{dx} =2^x*ln(2)\\[/tex]
If ∆ABC is an isosceles triangle and ∆DBE is an equilateral triangle, find each missing
measure.
Answers
Answer:
Step-by-step explanation:
The measure for each angle is shown below.
What is Equilateral Triangle?A triangle is said to be equilateral if each of its three sides is the same length. In the well-known Euclidean geometry, an equilateral triangle is also equiangular, meaning that each of its three internal angles is 60 degrees and congruent with the others.
Given:
As, ∆ABC and ∆DBE is an equilateral triangle.
In Equilateral Triangle all the angles are Equal.
So, 4x+ 3= 9x- 7
5x = 50
x= 10
and, <1 = <9 = 4x+ 3= 43
and, <4 = <5 = <6 = 180/ 3= 60
ans, <3 = <8 = 180-60= 120
Also, <2 = < 7 = 180- <1- <3= 17
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Two trains leave stations 192 miles apart at the same time and travel toward each other. One train travels at 85 miles per hour while the other travels at 75
miles per hour. How long will it take for the two trains to meet?
Do not do any rounding.
11 hours
Answers
Answer:
32 miles per hour
Step-by-step explanation:
x+85+75=192 x+160=192 x=192-160 x=32..
Determine the nature of the roots: 4x2 + 13x + 6 = 0
a. no real solutions
b. cannot be determined
C. a unique real solution
two distinct real solutions d. two distinct real solutions
Answers
Answer:
D. is the correct option
Discriminant is greater than zero, so the roots are unequal and real.
Step-by-step explanation:
We use discriminant to find the nature of the roots
discriminant formula is, b^2 - 4ac
13^2 (-4) × 4 × 6 = 169-96
73 >0
if discriminant greater than 0 that means the roots are real and unequal.
By visual inspection, determine the best-fitting regression model for the
scatterplot.
X
10
.
-10
A. No pattern
B. Exponential
C. Quadratic
D. Linear
Answers
Answer:
The answer is B since the chance is expontential since it gets bigger over time and each one is farther apart
The best-fitting regression model for the scatterplot is Exponential, the correct option is B.
What is fitting of curve for a data plot?When the data shows some trend, either linear (making a line), or non-linear (a predictable curve), we fit a mathematical curve(exponential) on that data set, as a representative of the pattern in that data set, to predict the output based on the inputs.
We are given;
The graph representation
Now,
By visual inspection of the scatterplot, we can see that the points do not follow a clear pattern that suggests an exponential or quadratic relationship. However, there appears to be a linear relationship between the variables.
Therefore, the answer will be exponential.
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TIME REMAINING
49:02
What is the value of h?
The graph shows that f(x) = 3* is translated horizontally
and vertically to create the function g(x) = 3*- h + k.
81%
O-2
O-1
O 1
O 2
f(x)
001)
What is the answer to this photo
Answers
Answer:
h=2
Step-by-step explanation:
f is translated right 2 units (so h=2) and up 2 units (so k=2)
The value of h is 2.
What is Translation of Functions?Translation of functions is defined as the when each point in the original graph is moved by a fixed units in the same direction.
There are horizontal translation and vertical translation of functions.
A function f(x) when translated horizontally leads to the function g(x) which is equal to g(x) = f(x ± k) where k is the units to which the function is translated.
And the vertical translation leads to the function g(x) = f(x) ± k, where k is the units to which the function is translated.
Here the original function is, f(x) = 3ˣ.
The point corresponding to x = 0 in f(x) is x = 2 in g(x).
That is (0, 1) is translated to (2, 3).
f(x) is horizontally translated to the right.
3ˣ translates to 3ˣ⁻².
Hence the value of h is 2.
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The scale of a map is 1/8 inch=10 miles. If two cities are 3 inches apart on the map how many miles are they from each other
Answers
1 inch is 80 miles
3 inches would be 240 miles.
80x3=240.
*The two cities are 240 miles apart from each other*
Tessa conducts an experiment and obtains results that are statistically significant. What is meant by "statistically significant"? O It means that Tessa used a large sample size. O It means that the results that Tessa obtained are too unusual to be explained by chance alone. It means that Tessa's experiment was not biased. O It means that the individuals in the experiment were randomly assigned to the treatment groups. earch 0 so DOLL
Answers
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Answer:
(b) It means that the results that Tessa obtained are too unusual to be explained by chance alone
Step-by-step explanation:
The test for statistical significance is a comparison of the result to the probability that it occurred by chance. The probability of a chance occurrence is usually set at 1% or 5%. The lower the percentage, the less likely a chance occurrence is, and the more difficult showing statistical significance becomes.
Name some real-life situations where graphing could be useful. Discuss your ideas. Name some real-life situations where finding the coordinates of the midpoint of a line segment could be useful.
Answers
Answer:
mapping an area
Step-by-step explanation:
One situation and probably the most common is mapping an area. Graphs are great for dividing a geographical location into various sections and creating a model representation of the area. The graph itself allows for specific directions to be shared using the x and y coordinates on the graph. The same applies for finding the midpoint of a line segment. For example, this is useful if you were trying to find a place to meetup with a friend that is an equal distance from where you are and from where your friend is currently located. Therefore, allowing you to meetup at the midpoint.
Algebraically show that each of the given combinations are equivalent to the given functions.
h(x) • j(x) is equivalent to k(2) given:
h(x) = - 3x – 1;j(x) = – 7x + 11 ; k(x) = 21.22 – 262 – 11
h(x).j(x) = (
Is h(x).j(x) equivalent to k(x)? yes
Answers
Answer:
Yes they ate Equivalent
Step-by-step explanation:
Given the expression
h(x) = - 3x – 1;j(x) = – 7x + 11 ; k(x) = 21.22 – 262 – 11
H(x)•j(x) = (-3x-1)(-7x+11)
H(x)•j(x) = (-3x)(-7x)-3x(11)-1(-7x)(-1)(11)
H(x)•j(x) = 21x²-33x+7x-11
H(x)•j(x) = 21x²-26x-11
This shows that H(x)•j(x) = k(x)
If you pick a card at random from a well shuffled deck, what is the probability that you get an even card or a spade
Answers
Answer:
The probability that you get an even card or a spade is P = 0.596
Step-by-step explanation:
In a deck of 52 cards, all the cards have the exact same probability of being drawn.
So, the probability of drawing an even card of a spade, will be equal to the quotient between the number of even cards and spades, and the total number of cards (52).
First, let's found the number of even cards and spades.
There are 13 spades.
For each set, the even cards are:
{2. 4, 6, 8, 10}
(not counting the queen as a "12")
Then for each set, there are 6 even cards.
(there are four sets but we already counted the 6 even cards from the spade set, so we ignore that set)
Then there are 3 sets with 6 even cards each, there are:
3*6 = 18 even cards
So we have:
13 spades + 18 even cards = 31 cards that meet the condition.
The probability is then:
P = 31/52 = 0.596
The probability that you get an even card or a spade is P = 0.596
09:30 am - 4:30 pm minus 30 minutes?
How many hours is that ?
Answers
0.9.30 am to 4.30 p.m. is 7 hours.
If we minus 30 minutes from it then it is 6 hours 30 minutes.
Can you please help me with this ☺️
Answers
Answer:
a=27.807
Step-by-step explanation:
Its simple, set it up for law of sine which is sinA/a = sinB/b
Sin108/a = Sin20/10
The movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your answer
Which sentence correctly compares the two numbers 5.395 and 5.385?
05.395 < 5.385
05.385 > 5.395
o 5.395 = 5.385
5.385 < 5.395
h
Submit
Pass
Don't know answer
Answers
Answer:
5.385 < 5.395
Step-by-step explanation:
Compare digits one by one starting form the left.
5.395 and 5.385
The 5s in the ones place are equal.
5.395 and 5.385
The 3s in the tenths place are equal.
5.395 and 5.385
The 9 in the hundredths place is greater than the 8 in the hundredths place, so the number with the 9 is grater than the number with the 8.
That makes the number with the 8 less than the number with the 9.
Answer: 5.385 < 5.395
of
The local high school had 1,000 bottles of water on hand. The school issued 4
the supply to the 9th grade, ş of the supply to the 10th grade, and 3 of the supply
to the 11th grade. How many bottles remained for the 12th grade?
Answers
Answer: the 12th graders get 150 bottles
how did i get 150?:
we know the total amount is 1,000 bottles of water
since 9th graders got 1/4 of the bottles. 1/4 of 1,000 is 250
10th graders: 1/5 of 1,000 is 200
11th graders: 2/5 of 1,000 is 400
now we ADD all of the sums together: 250+200+400 (doesnt matter which order but do go in order to not confuse yourself) the total should be 850.
FINALLY we subtract 1,000 - 850 = 150 bottles that are left for the 12th graders.
Determine whether the following propositions are true or false:
(a) 5 is an odd number and 3 is a negative number.
(b) 5 is an odd number or 3 is a negative number.
(c) 8 is an odd number or 4 is not an odd number.
(d) 6 is an even number and 7 is odd or negative.
(e) It is not true that either 7 is an odd number or 8 is an even number (or both).
Answers
Answer:
a) false
b) true
c) true
d) true
e) false
Step-by-step explanation:
In a statement of the type:
p ∧ q
where ∧ means "and"
The statement is true only if both p and q are true
the statement is false if p, q, or both, are false.
and in the case of:
p ∨ q
where ∨ means "or"
The statement is true if at least one of p or q (or both) are true.
The statement is false if both are false.
Now that we know that, let's solve the problem:
a) "5 is an odd number and 3 is a negative number."
Here we have:
p = 5 is an odd number
We know that this is true
q = 3 is a negative number
This is false.
then the complete statement is false.
b) "5 is an odd number or 3 is a negative number."
here we have:
p = 5 is an odd number.
this is true
q = 3 is a negative number
because in this case we have an "or", with only p being true, the whole statement is true.
c) "8 is an odd number or 4 is not an odd number."
p = 8 is an odd number (this is false)
q = 4 is not an odd number (this is true, 4 is a even number)
Again, we have an "or", so we need only one true proposition, then the statement is true.
d) "6 is an even number and 7 is odd or negative."
p = 6 is an even number (true)
q = 7 is odd or negative (notice that we have an or, and 7 is odd is true, so this proposition is true)
Then both propositions are true, then the statement is true.
e) "It is not true that either 7 is an odd number or 8 is an even number (or both)."
This is most complex, this will be true if at least one of the propositions is false.
but:
7 is an odd number is true
8 is an even number is true.
Then both statements are true, which means that the statement is false.
You are on a 5.6-mile run and have already run 1.98 miles. How many more miles do you need to run?
Answers
Answer:
3.62 miles need to be run
GUYS! Please help me with this question!
Which piecewise function is represents the absolute value function, f(x)=|2x+3|
Answers
If f(x) = 10 + 2x and g(x) = 6x + 5, then (f+ g)(x) =
Answers
Answer:
8x +15
Step-by-step explanation:
f(x) = 10 + 2x and g(x) = 6x + 5
(f+ g)(x) = 10 + 2x + 6x + 5
Combine like terms
= 8x +15
Answer:
8x+15
Step-by-step explanation:
(f+g)(x) = f(x)+g(x)
= (10+2x) + (6x+5)
= 8x+15
hope it helped, please mark me brainliest.
(-3).(+9)-(-24)-(+6).(+2)
Answers
Hello can anyone pls help with this multiple choice question
Answers
Answer:
The correct answer is the last one
Step-by-step explanation:
What is the area of area of 7 meters, 15 meters and 9 meters?
Answers
Answer:
10
Step-by-step explanation:
10-7 do it yourself and don't vheat
Sofia bought a clothes iron that was discounted 15% off of the original price of $35. What was the sale price of the clothes iron?
Answers
Answer:
35 - 0.15 * 35 so it is $29.75
Step-by-step explanation:
I got u
Answer:
$29.75
Step-by-step explanation:
15% = .15
.15 x 35 = 5.25
35 - 5.25 = 29.75
Need help on the last problem please.
Answers
Answer:
6 of x and 5 of y
Step-by-step explanation:
x = number of closets of the first type
y = number of closets of the second type
1200 = 100x + 120y
100 = 10x + 8y
10x = 100 - 8y
10x(100 - 8y) + 120y = 1200
1000 - 80y + 120y = 1200
40y = 200
y = 5
100 = 10x + 8×5 = 10x + 40
60 = 10x
x = 6
20x + 24y = max
20×6 + 24×5 = 120 + 120 = 240
Find the value of each expression:
1) 14 – 22
2) (10 + 5) – (32 – 3)
I need help pleaseeee
Answers
PLEASE HELLPP!!! Choose the best graph that represents the linear equation:
-x = 2y + 1
Graph A
On a coordinate plane, a line goes through (negative 1, 0) and (1, negative 1).
Graph B
On a coordinate plane, a line goes through (negative 3, negative 1) and (1, 1).
Graph C
On a coordinate plane, a line goes through (1, 0) and (5, negative 2).
Graph D
On a coordinate plane, a line goes through (negative 3, negative 2) and (1, 0).
a.
Graph A
c.
Graph C
b.
Graph B
d.
Graph D
Please select the best answer from the choices provided
A
B
C
D
Answers
Answer:
C
Step-by-step explanation: just C-
Answer: Its not c
Step-by-step explanation: It is A
Consumers Energy states that the average electric bill across the state is $39.09. You want to test the claim that the average bill amount is actually different from $39.09. What are the appropriate hypotheses for this test
Answers
The null hypothesis is [tex]\mu = 39.09[/tex]
The symbol [tex]\mu[/tex] is the Greek letter mu
The alternate hypothesis is [tex]\mu \ne 39.09[/tex] telling us we have a two-tailed test here. The "not equal" is directly tied to the keyword "different" given in the instructions. In other words, mu being different from 39.09 directly leads to [tex]\mu \ne 39.09[/tex]
So either mu is 39.09 or it's not 39.09
You can use H0 and H1 to represent the null and alternate hypotheses respectively.
----------------------
Summary:
The two hypotheses are
H0: [tex]\mu = 39.09[/tex]
H1: [tex]\mu \ne 39.09[/tex]
This is a two tailed test.