The correct solutions for this question are as:
(A) Bearing of B from A = 72°
(B) Bearing of B from C = 342°
(C) Bearing of A from B = 252°
(D) Bearing of A from C = 293°
Step by step solution:
(A) Bearing of B from A:
= 72° (Given in question)
(B) Bearing of B from C: = 342°
Solution:
As sum of co-interior angles is 180° , i.e. ∠NBC +∠NCB =180°
so, 162° + ∠NCB = 180°
∠NCB = 180°-162°
∠NCB = 18°
reflexive angle NCB =360° - ∠NCB
reflexive angle NCB = 360° - 18°
reflexive angle NCB = 342°
So, bearing of B from C: = 342°
(C) Bearing of A from B: = 252°
Solution:
First extend the line AB to any point (let's say "X")
So, ∠NBX = 72° [BY USING CORRESPONDING ANGLES]
Bearing of A from B = ∠NBX + 180°
Bearing of A from B =72° + 180°
Bearing of A from B =252°
(D) Bearing of A from C: = 293°
Solution:
Bearing of A from C= 360° - (∠BCA + ∠BCN)
Bearing of A from C= 360° - (49° + 18°)
Bearing of A from C= 360° - (67°)
Bearing of A from C= 293°
Important Points for "Bearing of Angles":
A bearing is an angle that is calculated clockwise from the north. A traverse should be regarded as anticlockwise unless differently stated or obvious from the bearings.
The angle between two lines cannot be directly read using a regular compass. By tracking the two lines bearings away from their point of confluence, the angles can be found.
Two angles—an inner angle and an exterior angle—are created when the two lines converge at a place. These two angles add up to a 360° angle.
To read more about "angles" here:
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Pls awnser this Giving brainlest to the right person that has the awnser
Answer:
top one is dependent
bottom is independent
Step-by-step explanation:
the amount of money you pay is based off of the amount of time on your subscription
A line passes through the point (-10,1) and has a slope of 3/2. Write an equation in point-slope form for this line. Please Help Best helped will get brainiest Promise PLS HELP !!!!!!!!!!!!!!!!!!!
Answer:
y - 1 = 3/2 (x + 10)
Step-by-step explanation:
Point-slope form of the equation of a line is a fill-in-the-blank shortcut to write an equation. If you know a point and the slope of a line you can fill in that info and voila! you have the equation.
Here is Point-slope equation:
y - Y = m(x - X)
Because the point given (-10,1) is in the form (X,Y), fill in -10 for X and 1 for Y.
The slope given is 3/2, fill that in for m.
y - Y = m(x - X)
y - 1 = 3/2 (x - -10)
y - 1 = 3/2 (x + 10)
The equation is
y - 1 = 3/2 (x + 10)
How many lines of symmetry does this picture have?
Answer:
1
Step-by-step explanation:
if you put the line of symmetry anywhere else but down vertically it would not work .
Calculate The Double Integral. ∫∫ 4x 1 + Xy DA, R = [0, 4] × [0, 1]
Answer:
[tex]20\ln(5)-16\approx16.18876[/tex]
Step-by-step explanation:
[tex]\displaystyle\int\int\limits^{}_R {\frac{4x}{1+xy} } \, dA\\\\\\=\int\limits^4_0\int\limits^1_0 {\frac{4x}{1+xy} } \, dy \, dx\\\\\\=\int\limits^4_0 {\ln(1+xy)\biggr|_0^1} \, dx\\\\\\=\int\limits^4_0 {\ln(1+x)} \, dx\,\,\,\,\,\,\,\,\,\,\,\,\bigr(u=\ln(1+x),\,dv=dx\bigr)\\\\\\=4\biggr(x\ln(1+x)\biggr|_0^4-\int\limits^4_0 \frac{x}{1+x} \,dx\biggr)\\\\=4\biggr(4\ln(5)-\bigr[x-\ln(1+x)\bigr]\biggr|_0^4\biggr)\\\\=4\biggr(4\ln(5)-\bigr[4-\ln(5)\bigr]\biggr)\\\\=4\biggr(5\ln(5)-4]\biggr)\\\\=20\ln(5)-16[/tex]
What is the vertex for the function g(x)?
Answer:
look below!
Step-by-step explanation:
To get the vertex for an equation your best bet is to convert the form into vertex form,which is y=a(x−h)+k . In vertex form (h,k) is the vertex
Which graph is represented by the equation (X + 3)2 + (y – 4)2 = 9?
Unit test
Answer:
center (2, -3)
radius r = 3
Graph c
Step-by-step explanation:
Answer:
Graph A on edge
Step-by-step explanation:
Which of the following rational functions is graphed below?
Answer:
B
Step-by-step explanation:
Cuz I graphed it, and it looked the same
A random sample of 40 adults with no children under the age of 18 years results in a mean daily leisure time of 5.65 hours, with a standard deviation of 2.43 hours. A random sample of 40 adults with children under the age of 18 results in a mean daily leisure time of 4.37 hours, with a standard deviation of 1.73 hours. Construct and interpret a 90% confidence interval for the mean difference in leisure time between adults with no children and adults with children. (u1 - u2)
Let u1 represent the mean leisure hours of adults with no children under the age of 18 and u2 represent the mean leisure hours of adults with children under the age of 18. The 90% confidence interval for (u1 - u2) is the range from (???, ???) round to 2 decimals
Answer:
The 90% confidence interval for (u1 - u2) is the range from; ( 0.50 - 2.06 )
Step-by-step explanation:
Given the data in the question;
Adult with No children under 18 Adult with children under 18
x"₁ = 5.65 x"₂ = 4.37
s₁ = 2.43 s₂ = 1.73
n₁ = 40 n₂ = 40
with 90% confidence
significance level ∝ = 1 - 90% = 1 - 0.9 = 0.1
Degree of freedom df = 39
Now, since variance are not equal and are also unknown, we will use 2 sample t-distribution method;
Standard Error: σx"₁ - x"₂ = [tex]\sqrt{\frac{s_1^2}{n_1} + \frac{s_2^2}{n_2} }[/tex]
Critical value = [tex]t_{\alpha /2, df[/tex] = [tex]t_{0.05, df=39[/tex] = 1.645 { from standard normal table }
Now,
Margin of Error = E = [tex]t_{\alpha /2, df[/tex] × [tex]\sqrt{\frac{s_1^2}{n_1} + \frac{s_2^2}{n_2} }[/tex]
we substitute
E = 1.645 × [tex]\sqrt{\frac{2.43^2}{40} + \frac{1.73^2}{40} }[/tex]
E = 1.645 × √( 0.1476225 + 0.0748225 )
E = 0.7758478
Now, our point difference will be; x"₁ - x"₂ = 5.65 - 4.37 = 1.28
So Limit at 90% confidence interval will be;
x"₁ - x"₂ ± E
Lower Limit = x"₁ - x"₂ - E = 1.28 - 0.7758478 = 0.50415 ≈ 0.50
Upper Limit = x"₁ - x"₂ + E = 1.28 + 0.7758478 = 2.05584 ≈ 2.06
Therefore, The 90% confidence interval for (u1 - u2) is the range from; ( 0.50 - 2.06 )
A 38 ounce box of cat food costs $1.69 and a 24 ounce box costs $1.29. How much can be saved per ounce by guiding the larger box
The amount of money that can be saved per ounce by guiding the larger box is $0.009.
What is equation modelling?Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis of the given problem.
Given is that a 38 ounce box of cat food costs $1.69 and a 24 ounce box costs $1.29.
For the larger box -
38 ounce box of cat food costs $1.69
1 ounce of this box will cost $(1.69/38) = $0.045
For the smaller box -
24 ounce box of cat food costs $1.29
1 ounce of this box will cost $(1.29/24) = $0.054
Money that can be saved per ounce by guiding the larger box -
0.054 - 0.045
0.009
Therefore, the amount of money that can be saved per ounce by guiding the larger box is $0.009.
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What is the volume of the rectangular prism? Please Help
Answer:
60 cm cubed I think
Step-by-step explanation:
Answer:
60
Step-by-step explanation:
use the Area formula
L*W*H
3*5*4=60
Question 8: I Can Write the y=mx Form Equation of the Line.
A train traveled 120 miles in 3 hours. The train traveled at a constant speed. If the
train continues to travel at this rate, which equation can be used to determine y,
the total number of miles the train will travel, in x hours?
A. y = 40x + 20
B. y = 40x
C. 40y = x
D. 40 + y = x
Answer:
b
Step-by-step explanation:
120/3 = 40
40 miles in 1 hour
Answer:
B. y = 40x
Step-by-step explanation:
120 miles in 3 hours, that means every hour the train traveled 40 miles.
Malcom wrote the equivalent ratios shown below. Find the scale factor he used to write the equivalent ratios
9/40 and 54/240
In this question, we're looking for the number Malcom used to scale the two numbers. We can see there's a pattern, 9 is 1/6 of 54 and 40 is 1/6 of 240!
(54 divided by 9 is 6 and 240 divided by 40 is 6!)
therefore, the scale factor must be 6
At what time t was the instantaneous velocity equal to the average velocity? (Round your answer to one decimal place.)
Answer:
Instantaneous velocity can be equal to average velocity when the acceleration is zero or velocity is constant because in this condition all the instantaneous velocities will be equal to each other and also equal to the average velocity.
find the value of x !!
thanks :)
According to question as both side are equal so it is an isosceles triangle and the value of X is 18.
What are the properties of Isosceles Triangle?An isosceles triangle is a triangle with two sides of equal length. Some properties of an isosceles triangle include:
The two equal sides are called the legs of the triangle and the remaining side is called the base.The angle between the legs is always equal to the angle between the base and one of the legs.The altitude (perpendicular line segment from a vertex to the opposite side) bisects the base of the triangle.The median (line segment from a vertex to the midpoint of the opposite side) and the altitude from the same vertex to the opposite side are also congruent.The circumcenter (center of the circle that passes through all three vertices) of an isosceles triangle is always located at the midpoint of the line connecting the two vertices of the congruent sides.The line that is bisecting the angle between the congruent sides (also known as the angle bisector) also bisects the side opposite to that angle.so In this triangle ,
The mid point on horizontal side is given and 5m line cut the mid point of both the sides.
both side are equal as it is an isosceles triangle.
and given in the question,
side/2 =9
and one side is equal to x.
and both sides are equal,
therefore
side = 9*2 = 18
so the value of x = 18.
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The front of a house needs to be painted black. The garage door is 1.5 m high and 2 m wide,
A) How many square meters of black paint will be needed to paint the house not including the
garage door?
Show your work
Answer:
3 m
Step-by-step explanation:
To geg the answer you need to multiply 1.5 times 2.
Two brothers are allowed to spend a maximum of 5.90 money as pocket money.the elder brother spent 2.97 money. How much was left for the younger brother?
Answer:
2.93
Step-by-step explanation:
5.90-2.97=2.93
Frank's father came home from San Francisco by airplane. He had to wait 1 hour and 45 minutes at the airport in San Francisco. Then Frank's
father had to wait another 35 minutes while the plane was in Portland.
How long did Frank's father spend waiting?
Answer:
2 hrs and 20 minutes
Step-by-step explanation:
45 + 35 = 80
Equations of Exponential Functions
The population, P, of six towns with time t in years are given by the following exponential equations:
(i) P = 1000(1.08)t (ii) P = 600(1.12)t
(iii) P = 2500(0.9)t (iv) P = 1200(1.185)t
(v) P = 800(0.78)t (vi) 2000(0.99)t
Which town is growing the fastest?
a. i c. iv
b. iii d. vi
Please select the best answer from the choices provided
Answer:
C. iv
Step-by-step explanation:
I calculated it logically
What is 1,207.43% times 83.53$
Answer:
1 008.56628 US$ kkkkkkkkkk
Answer:
$43352.9053
Step-by-step explanation:
Not sure if this is what you wanted to do, but 1,207.43% of 83.53 is 43352.9053, So there you go.
In this expression: 5x – (12 -6), x is what we called the ....?
Answer:
x is the variable
Step-by-step explanation:
Answer:
Binomial
Step-by-step explanation:
There is two expression
Please help me with this question
Answer:
cos(x -π/3) = (1/2)cos(x) +(√3/2)sin(x)
Step-by-step explanation:
You want cos(x -π/3) written in terms of sine and cosine.
Angle differenceThe formula for the cosine of the difference between two angles is ...
cos(a -b) = cos(a)cos(b) +sin(a)sin(b)
ApplicationWe have a=x, b=π/3, so the desired function is ...
cos(x -π/3) = cos(x)cos(π/3) +sin(x)sin(π/3)
We know that ...
cos(π/3) = 1/2sin(π/3) = √3/2so the rewrite is ...
cos(x -π/3) = (1/2)cos(x) +(√3/2)sin(x)
how many sides does a polygon have whose total number of diagonals is 20?
Answer:
there would be 8 sides if there are 20 diagonals
Il give brainliest to correct answer
Answer:
x=18
Step-by-step explanation:
brainliest?
What is the average rate of change between x=1 and x=5 for y=2x+5
Answer:
the average rate of change is 2 with an intercept of 5
Step-by-step explanation:
what is the percent of change for your grade if originally you got 5 questions right and you checked your work and ended up with 15 questions right
Answer:
To calculate the percent of change for your grade, you will need to know your original grade and your revised grade. If you originally got 5 questions right and you checked your work and ended up with 15 questions right, you can calculate the percent of change as follows:
Subtract your original score from your revised score to find the difference: 15 - 5 = 10
Divide the difference by your original score and multiply by 100 to express the change as a percentage: (10 / 5) x 100 = 200%
This means that your grade increased by 200%.
Step-by-step explanation:
You select a family with four children. If M represents a male child and F a female child, the set of equally likely outcomes for the children's genders is {FFFF, FFFM, FFMF, FMFF, MFFF, MFFM, MFMF, MMFF, FFMM, FMFM, FMMF, FMMM, MFMM, MMFM, MMMF, MMMM. Find the probability of selecting a family with exactly four female children.
A recipe from Sally’s "Chocoholic’s Cookbook" requires 70\frac{1}{6} grams of chocolate for each chocolate fudge cake. How many grams of chocolate would she need if she made one chocolate cake for each of her 12 closest friends?
Answer:
842 grams
Step-by-step explanation:
[tex]70\frac{1}{6} =\frac{421}{6}[/tex]
[tex]\frac{421}{6} *12\\\\842[/tex]
One cake consists of 421/6 grams of chocolate.
Since Sally wants to give 1 cake to 12 friends, we multiply 421/6 and 12.
To make 12 cakes, she needs 842 grams of chocolate.
Can a triangle have sides with the given lengths ? Explain . 1 ft , 2 ft , 4ft
Sam had 5 fish. She ate 2 how many did she have left
Answer:
3
Step-by-step explanation:
Please help will mark Brainly
Answer:
x=-1 and y=4
Step-by-step explanation:
When you draw a graph you will see point of intersection which is solution