Answers
9514 1404 393
Answer:
(a) 15°
(b) 256°
(c) 133°
(d) 313°
Step-by-step explanation:
We assume your bearings are to be reported as an angle measured clockwise from north.
A) The given angle is the bearing: 15°.
__
B) The bearing can be found by subtracting this angle from 450°:
450° -194° = 256°
__
C) The bearing can be found by adding 90° to the angle shown:
43° +90° = 133°
__
D) The reverse bearing can be found by adding 180°:
133° +180° = 313°
_____
Additional comment
Angles in Cartesian coordinates are conventionally measured counterclockwise from the +x axis. In that sense, the angle of C could be considered to be -43°.
Bearing angles are reported different ways. One of them is as an angle in the range 0–360°, measured clockwise from north (up, or +y axis). As such, it can be found by subtracting the conventional Cartesian angle from 90°.
When the Cartesian angle is more than 90°, 360° must be added to the difference to bring it back into the desired 0–360° range. Essentially, angles greater than 90° must be subtracted from 90° +360° = 450°.
Reverse bearings are found by adding or subtracting 180°.
__
An alternate convention for reporting bearings is as an angle in the range 0–90° east or west from north or south. In this convention, A = N15E, B=S76W, and C=S47E.
Occasionally, you will see the angles B and C reported from east or west: B=W14S; C=E43S. This keeps the angles in the 0–45° range. This is NOT a recommended way to report bearings.
Reverse bearings are found by swapping N/S and E/W. That is, the bearing from A to O is S15W, for example.
Related Questions
A population has a mean of 300 and a standard deviation of 70. Suppose a sample of size 100 is selected and is used to estimate . Use z-table.
What is the probability that the sample mean will be within +/- 6 of the population mean (to 4 decimals)? (Round z value in intermediate calculations to 2 decimal places.)
Answers
Step-by-step explanation:
Sol
Given that ,
mean =300
standard deviation =a =70
n=100
ux=128
a ) within 6 =300 +/-6 : 294, 306
P(294' ' 306)
: P(-0.86 : Z ' 0.86)
: P(Z ' 0.86) - P(Z ' -0.86)
Using z table,
: 0.8051-0.1949
: 0.6102
Probability : 0.6102
a ) within 18 =300 18 : 294, 318
P(294' ' 306)
: P(Z ' 2.57) - P(Z ' -2.57)
Using z table,
:0.9949-0.0051
:0.9898
Probability =0.9898
20 POINTS! Determine if the two triangles are congruent. If they are, state which theorem you can use to prove congruency. EXPLAIN WHY OR ILL REPORT.
Answers
Answer: HL
Step-by-step explanation:
The shared side is congruent, meaning the triangles are congruent by HL.
find the greatest four digits number which is divisible by 12, 18 and 30
Answers
Answer:
8100
Step-by-step explanation:
8100/12=675
8100/18=450
8100/30=270
Answer:
Therefore, 8100 is the highest four digit perfect square number which is divisible by 12,18 and 30.
Step-by-step explanation:
pls help me with this asap!!
Answers
19.20 you have to do a squared times b squared and the square root them and there's your answer
Simplify. Please help me! (Exponents.) Picture added.
Answers
Answer:
it would be the last one i meant
Step-by-step explanation:
5x 2 =10
=6^10
I need to know the area!!!
Answers
Answer:
Area of Grass = 6 m²
Area of Cement = 24 m²
Area of Grass and Cement Together = 30 m²
Step-by-step explanation:
Area of Grass = 3m × 2m = 6m²
Area of Cement = (6m × 5m) - 6m² = 30m² - 6m² = 24m²
Area of Grass and Cement Together = 6m² + 24m² = 30m²
solve the given inequalitiesa) 2x +3> 15
Answers
-3. -3
2x>18
__ __
2. 2
x<9
Answer:
( 3 , 9 )
Step-by-step explanation:
First, add
3
to each segment of the system of inequalities to isolate the
x term while keeping the system balanced:
3 + 3 < 2 x − 3 + 3 < 15 + 3 6 2 x − 0 < 18 6 < 2 x < 18
, divide each segment by 2
to solve for x
while keeping the system balanced:
6 2 < 2 x 2 < 18 2 3 < 2 x 2 < 9 3 < x < 9 Or x > 3 ; x< 9
Brainliest?
in how man ways can you arrange 12 books in a shelf
A:479,001,160
B:479,000,600
C:479,100,600
D:479,001,600
Answers
What is the solution to the equation e^3x - 127 Round your answer to the nearest hundredth.
OX=0.83
OX= 1.09
OX= 2.48
OX= 7.44
Answers
Answer:
The solution is [tex]x = 0.83[/tex]
Step-by-step explanation:
We are given the following equation:
[tex]e^{3x} = 12[/tex]
To isolate x, we apply ln, which is the inverse of the exponential. So
[tex]\ln{e^{3x}} = \ln{12}[/tex]
[tex]3x = \ln{12}[/tex]
[tex]x = \frac{\ln{12}}{3}[/tex]
Using a calculator:
[tex]x = 0.83[/tex]
The solution is [tex]x = 0.83[/tex]
The cost of making a phone call is $0.40 plus $0.07 for each additional minute. Write an inequality) to find the number of minutes you can talk for $2.00 or less.
Answers
Answer:
Step-by-step explanation
$20 but im not for sure so if im wrong im sorry
15
x
23
find value of x that makes equation true
Answers
Answer:
345
Step-by-step explanation:
A pair of shoes cost $25. This is $14 less than the cost of a pair of Jeans. Find the cost of the jeans.
25=j-14
Answers
Answer:
j = 11
Step-by-step explanation:
$25 - $14 = 11
HELP ME PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
Answers
Answer:
C.
Step-by-step explanation:
The median is the line in the middle of the box plot.
C is the answer because 75 is the largest median out of all the choices.
please help with this asap thank you
Answers
Answer:
Distributive Property
There are 4 types of questions on Mrs. Moore's English final exam. The percent of each type of question is shown in the graph.
Types of Exam Questions
Answers
Answer:
10
Step-by-step explanation:
5 + 5
Please help :)
And explain how
Find the value of 5x + 3y when x = 6 and y = 7
Answers
Answer:
Answer is 51
Step-by-step explanation:
5(6) + 3(7)
30 + 21
51
Answer:
first you woub sub 6 into x and 7 into y then you would multiple 5 and 6 to get 30 and then multiple 3 and 7 to get 21. lastly add 30 and 21 to give a total of 51
Step-by-step explanation:
5x+3y
5(6)+3(7)
30+21
51
hope this helps
Which rule describes the function whose graph is
shown?
f(x) ={x+6 x<-4
x^2, -2
6- x, x>4
g(x)={x+6, x<-2
x^2, -2
6-x, x>2
h(x)={x+4, x<-2
x^2, -2
4-x, x>2
Answers
b. g(x)...
domain: a. (-infinity, infinity)
range: b. (-infinity, 4}
Option (B) is the correct option.
What is the graphing function?"Graphing functions is drawing the curve that represents the function on the coordinate plane. If a curve (graph) represents a function, then every point on the curve satisfies the function equation".
For the given situation,
[tex]f(x) ={x+6 x < -4x^2, -2 6- x, x > 4[/tex]
[tex]g(x)={x+6, x < -2x^2, -2 6-x, x > 2[/tex]
[tex]h(x)={x+4, x < -2x^2, -2 4-x, x > 2[/tex]
Plot the graph for the given functions [tex]f(x), g(x), h(x)[/tex].
After plotting all the functions, the function [tex]g(x)[/tex] describes the graph shown.
Hence, option (B) is the correct option.
Learn more about graphing functions here
https://brainly.com/question/24696306
#SPJ2
Maria works for an international marketing consulting group. She is studying the monthly demands for Range Rover (suv) in two different cities of the country. She has 180,000 new Range Rovers to ship to the two cities, and she decides to ship 40,000 more to New York City than to Boston. Find the number of (suv) to be shipped to New York City . Please no link I can't open them
Answers
Answer:
110,000 (suv) to be shipped to New York City
Step-by-step explanation:
We know that there are 180,000 (suv) to be shipped in total. We also know that there are two cities which these (suv) must be shipped to. So, that is 180,000 (suv) to be shipped to two cities. Let's right a true equation with this information:
Let n represent the number of (suv) to be shipped to New York City and b represent the number of (suv) to be shipped to Boston.
n + b = 180,000
Now, we also know that the number of (suv) to be shipped to New York City is 40,000 greater than the number of (suv) to be shipped to Boston. So, we can write another true equation (for the sake of convenience, let's write it in terms of b rather than in terms of n):
b = n - 40,000
Now that we have a value for b in terms of n, we can plug this value into b in our first equation:
n + (n - 40,000) = 180,000
From here, we can solve:
n + n - 40,000 = 180,000
2n - 40,000 = 180,000
2n = 220,000
n = 110,000
Thus, we have our final answer.
I would appreciate Brainliest, but no worries.
TELL WHICH NUMBER IS GREATER.
-7, -16
1)16
2)-16
3)-7
4)7
Answers
The weakest (smallest) number of these is -16
A person places $6520 in an investment account earning an annual rate of 2.5%, compounded continuously. Using the formula V = Pe^{rt}V=Pe rt , where V is the value of the account in t years, P is the principal initially invested, e is the base of a natural logarithm, and r is the rate of interest, determine the amount of money, to the nearest cent, in the account after 3 years
Answers
Answer:
The amount of money, to the nearest cent, in the account after 3 years will be $ 7028.56
Step-by-step explanation:
The amount is given by
[tex]V = Pe^{rt}[/tex]
Given P = $6520
r = 2.5%
t = 3 years
Substituting the given values, we get -
[tex]V = 6520 * e^{2.5*3/100 }\\V = 6520 * 1.078\\V = 7028.56[/tex]
The amount of money, to the nearest cent, in the account after 3 years will be $ 7028.56
Please help ASAP!!!!!!!
Answers
Answer:
10th term is 10
Step-by-step explanation:
The nth term for finding the geometric progression is expressed as;
Tn = ar^n-1
a is the first term
r is the common ratio
n is the number of terms
a11 = ar^11-1
a11 = ar^10
Since a11 = -5 and r = -1/2
-5 = a(-1/2)^10
-5 = a(1/1024)
a= 1024 * -5
a = -5120
Nest is to get the 10th terms
a10 = ar^9
a10 = -5120 * (-1/2)^9
a10 = -5120 * -1/512
a10 = 10
Hence the 10th term of the sequence is 10
Describe the y-intercept and end behavior of the following graph
Answers
Answer:
B
Step-by-step explanation:
What is the area? Help meeeeee pls
Answers
do 1/2bh
1/2 x 9 x 12 and u will get 54
Evaluate (−2)(−3)(−4)(−1)(−2)
Answers
Answer:
-48
Step-by-step explanation:
(-2)(-3)(-4)(-1)(-2)
(6)(-4)(-1)(-2)
(-24)(-1)(-2)
(24)(-2)
(-48)
A wall has to be made around a rectangular garden. The garden's area is
18O square feet. If the garden is 12 feet wide, what is the length?
Answers
Answer:
15
Step-by-step explanation:
the answer is 15. 12×15=180
Need help!!!!!!!!!!!
Answers
Answer:
90°
-Sum of angles in a triangle= 180°
-angle C is 90°
-therefore angle A + angle B is,
180° - 90° = 90°
Sabrina read 45% of the book that her English teacher
assigned. Which of the following correctly shows 45% as a
decimal and as a fraction?
A. 45%=45/100=9/20 B. 45% = 4.5 = 45/10 = 9/2 C. 45% = 45 = 450/100 = 9/2 D. 45% = 0.045 = 45/1,000 = 9/200
Answers
Answer:
A. 45%=45/100=9/20
Step-by-step explanation:
45% is 45 out of 100 or 45/100
9 divided by 20 equals 0.45
They are both equal to 45%
Solve this question for brainlest. This is due at 6 pm
Answers
Answer:
2/5
Step-by-step explanation:
multiply length and width then divide the volume by the product of length times width
3/4 x 1/2 then divide 15/16
Angle A and Angle B are complementary angles. If angle B is five degrees more than four times angle A, find the measure of each angle.
Answers
Answer:
Angle A = 17°, Angle B = 73°
Step-by-step explanation:
Angle A & Angle B are complementary angles (given) so they will form 90°.
Let's take,
Angle A = x
Angle B = 4x +5 (angle B is five degrees more than four times angle A)
Measure of each angle=?
Angle A + Angle B = 90°
x + 4x + 5 = 90
5x + 5 = 90
5x = 90 - 5
5x = 85
x = 85 ÷ 5
x = 17°
Angle A = x = 17°
Angle B = 4x + 5 = 4(17) + 5 = 68 + 5 = 73°
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What value of x is a solution to this equation?
-5x - 10x = -60
Answers
Answer:
0.25
Step-by-step explanation:
-5x - 10x = -15x
-15x = -60
x = 0.25
Answer: x=-4
Step-by-step explanation: