A,B, C and D are the four corners of a rectangular plot marked out on level ground. Given that the bearing of B from A is 40 and the bearing of C from A is 90, Find the bearing B frOm C

Answers

Answer 1

Answer:

given - a rectangle ABCD

AB = 40

AC. = 90

BC = ?

in triangle ABC

using Pythagoras theorem

(AB) ² + (BC) ² = (AC) ²

(40)² + (BC) ² = (90)²

(BC) ² = (90)²- (40)²

(BC) ² = 8100 - 1600

(BC) ² = 6500

BC =

[tex]20 \sqrt{10} [/tex]


Related Questions

please help asap Part of the proceeds from a garage sale was $540 worth of $5 and $20 bills If there were 3 more bills $5 bills than $20 bills, find the number of each denomination.

Answers

Answer:

15 ($20 dollar bills) and 19 ($10 dollar bills) ! Pretty sure this is correct, if wrong let me know and i'll make a question for you to give your points back, i dont know if i can do that but i can try!! Have a good day.

1. Identify your variables using let statements.

2. Determine the equations for the linear system.

3. Determine the solution to the linear system (point of intersection)

4. Explain the meaning of the solution using a therefore statement.



You own a catering company and are in charge of an engagement party. There are two dinners: a chicken dish, which costs $40, and a lobster dish, which costs $70. The 250 party guests have ordered their meals in advance, and the total cost to prepare the dinner is $13 570. How many of each type of dinner are you preparing?

Answers

The number of chicken dish is 131 dishes while the number of lobster dishes is 119 dishes

How to find the number of each type of dish.

Let

x = number of chicken dish and y = number of lobster dishHow to determine the equations for the linear system

Since it cost $40 per dish for chicken dish, the total cost of chicken dish is 40x.

Also, since it cost $70 per dish for lobster dish, the total cost of lobster dish is 70y

So, the total cost of dish is T = 40x + 70y

Also, we know that the total cost of dish is $13,570.

So, 40x + 70y = 13570  (1)

Also, there are going to be 250 guest at the dinner and thus 250 dishes.

So, the total number of dishes is x + y = 250

So, x + y = 250 (2)

So, the equations of the linear system are

40x + 70y = 13570  (1)

x + y = 250 (2)

How to determine the solution for the linear system

Since

40x + 70y = 13570  (1)

x + y = 250 (2)

From (2), x = 250 - y

Substituting x into (1), we have

40x + 70y = 13570  (1)

40(250 - y) + 70y = 13570  (1)

10000 - 40y + 70y = 13570  

30y = 13570 - 10000

30y = 3570

y = 3570/30

y = 119

Substituting y = 119 into x, we have

x = 250 - y

x = 250 - 119

x = 131

Therefore, the number of chicken dish is 131 dishes while the number of lobster dishes is 119 dishes

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Which equation best describes this line?

Answers

The answer is probably C

Given circle with radius of 5cm.
Find out
(a) diameter
(b) perimeter
(c) area

Answers

Answer:

(1) 10

(2) 10π

(3) 25π

Step-by-step explanation:

We are given the radius of the circle which is halfway through a circle. The radius of this circle is 5.

We are required to find the diameter, perimeter, and area using the given data we have been provided with.

Let's start:

#1: Diameter

To find diameter [tex]d[/tex] use formula:

                                               [tex]d=2*r[/tex]

After substituting  [tex]r=5[/tex] we have:

                                             [tex]d=2*5\\d=10[/tex]

After calculating, we have found that the diameter of the circle is 10.

#2: Perimeter

The perimeter can also be known as the circumference of a circle as they both measure the outline.

To find circumference [tex]C[/tex] use formula:

                                                  [tex]C=2*r*\pi[/tex]

After substituting [tex]r=5[/tex] we have:

                                          [tex]C=2*5*\pi[/tex]

                                           [tex]C=10\pi[/tex]

Convert [tex]10\pi[/tex] to a decimal and round it to the nearest tenth and we have:
⇒ 31.4159265359

31.4

After calculating, we have found that the perimeter (or circumference of the circle is 10π or 31.4 (Rounded to the nearest tenth in decimal form).

#3: Area

To find area [tex]A[/tex] use the formula:

                                            [tex]A=r^2*\pi[/tex]

After substituting  [tex]r=5[/tex] we have:

                                           [tex]A=5^2*\pi \\A=25*\pi \\A=25\pi[/tex]

Convert [tex]25\pi[/tex] to a decimal and round it to the nearest tenth and we have:

⇒ 78.5398163397

78.6

After calculating we have found that the area of the circle is either 25π or 78.6 (rounded to the nearest tenth).

After finding all the required information, we have now completed the answer.

Erp systems are initially set up to support ________ as opposed to supporting the reporting component

Answers

The ERP system is originally configured to handle the transactional component rather than supporting the reporting component.

What is the ERP System?

The ERP System is a form of software used by businesses to handle day-to-day business operations in a company such as finance, marketing, project management, regulatory risk management, as well as, supply chain management.

The primary goal of an ERP system is to improve organizational efficiency by controlling and improving how corporate resources are used. Therefore, the ERP system is originally configured to handle the transactional component rather than supporting the reporting component.

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Sven makes bread rolls, he uses rye flour and wheat flour to the ratio 2:3. sven makes bread rolls using 250 g of rye flour, what mass of wheat flour does he use

Answers

rye: wheat = 2:3 = 250g of rye flour:Xg or wheat flour (two parts of rye flour to three parts of wheat flour)

2/2=1 part

250/2 = 125

so one part = 125g

125*3= 375

he uses 375g of wheat flour

i need the missing numbers

Answers

Answer:

Step-by-step explanation:

1) y = [tex]\frac{1}{3}[/tex]

2) x = [tex]\frac{1}{3}[/tex]

3) y = -3

4) x = [tex]\frac{-1}{-12}[/tex]

Answer:

11,3,3,12

Step-by-step explanation:

1st y= 11 because -2/3(-6)=4 4+7=11

1st x= 3 because -2/3(3)=-2 and -2+7 is 5

2nd y=-3  because -2/3(15)=-10 -10 +7=-3

2nd x=-12 because -2/3(-12)=8 8+7=15

PLEASE ANSWER ASAP ACTUALLY ANSWER PLEASE AS SOON AS YOU CAN PLEASE I NEED IT
Graph the quadratic equation. Zoom and pan your graph to establish an appropriate viewing window.
X^2 + 2x - 24 = 0

Answers

Step-by-step explanation:

x=4,-6

im pretty sure this is correct

this answer doesnt't answer my question

IT IS WRONG!!!!!!!!!


There is a bag filled with 3 blue and 5 red marbles.

A marble is taken at random from the bag, the colour is noted and then it is replaced.

Another marble is taken at random.

What is the probability of getting 2 blues?



answer this properly please

Answers

Let me guess you’re doing acellus!! Use air math it helped me too

Angle QRS is bisected by ray RP. If angle QRP is 60 degrees, what would be the measure of angle QRS?​

Answers

Answer:

6779

Step-by-step explanation:

69

Use trigonometry to find the height of the triangle. Then use the height to find the area. Round to the nearest hundredth

Answers

Answers:

height = 4.46 units

area = 26.73 square units

Both values are approximate

===========================================================

Explanation:

h = height of the triangle

Focus on the smaller triangle on the left.

Use the cosine ratio to find h

cos(angle) = adjacent/hypotenuse

cos(27) = h/5

h = 5*cos(27)

h = 4.4550326 approximately

Your calculator needs to be in degree mode.

We can now find the area of the overall largest triangle.

area = 0.5*base*height

area = 0.5*12*4.4550326

area = 26.7301956

area = 26.73

Answer with a step-by-step explanation:

1) First, let us find the height of the triangle.

For that let us use cos theta to find the triangle's height.

Let us use the below formula to find it.

cos Θ = Adjacent ÷ hypotenuse

Let the height (adjacent ) be h.

Let us find it now.

cos Θ = Adjacent ÷ hypotenuse

cos 27° = h ÷ 5

0.8910 = h ÷ 5

0.8910 × 5 = h

4.455 = h

Therefore the height of the triangle is 4.455 units.

                                                                                                       

2) And now let us find the area of the triangle.

The formula to find the area of a triangle is:

Area =  [tex]\frac{1}{2}[/tex] × base × height

Let us find it now.

A =  [tex]\frac{1}{2}[/tex] × base × height

A =  [tex]\frac{1}{2}[/tex] × 12 × 4.455

A =  [tex]\frac{1}{2}[/tex] × 53.46

A = 26.73 units²

Let f(x)=4x and g(x)=4x+1−2. Which transformations are needed to transform the graph of f(x) to the graph of g(x)? Use the drop-down menus to complete the statements.

Answers

horizontal transformation 1 unit left.

vertical translation 2 units down.

What is graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

Given:

f(x) = [tex]4^{x}[/tex]

g(x) = [tex]4^{x+1} -2[/tex]

As, we can see that g(x) is shifted left side by 1 unit

So, horizontal transformation 1 unit left.

Now, as 2 is subtracted

So, vertical translation 2 units down.

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Considering the activity series given below for metals and nonmetals, which reaction will occur? al > mn > zn > cr > fe > cd > co > ni > sn > pb > h > sb > bi > cu > ag > pd >hg > pt f > cl > br > i 2nabr i2 right arrow. 2nai br2 2fe al2o3 right arrow. 2al fe2o3 2agno3 ni right arrow. ni(no3)2 2ag pb zn(c2h3o2)2 right arrow. zn pb(c2h3o2)2

Answers

The activity series is an arrangement of species in order of reactivity.

What is the activity series?

The activity series is an arrangement of species in order of reactivity. The position of a specie in the series determines the possibility of certain reactions.

The following are the fates of these reactions;

2NaBr + I2--------->2NaI + Br2 - Not possible2Fe + Al2O3 ----------> 2Al + Fe2O3 - Not possible2AgNO3 + Ni ---------->  Ni(NO3)2 + 2Ag - possiblePb + Zn(C2H3O2)2 ---------->  Zn + Pb(C2H3O2)2 - Not possible

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you are in charge of buying the soda and paper plates for a party. The soda costs $3 per case and the paper plates cost $4 per stack. you have no more than $25 to spend.

Answers

The inequalities that define the given conditions are,[tex]4x+3y \leq25[/tex].Option A is correct.

What is the definition of inequality?

Inequality is a sort of equation in which the equal sign is missing. As we will see, inequality is defined as a statement regarding the relative magnitude of two claims.

Given data;

Soda costs =  $3 per case

Paper plates  = $4 per stac

The maximum amount of money you can spend  is $25

x = the number of cases of soda

y = the number of stacks of paper plates.

The inequalities that define the given conditions are;

[tex]4x+3y \leq25[/tex]

Hence, option A is correct.

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The bar graph shows the number of customers at a nail salon each day for one week. What percent of the customers came on Friday or Saturday? Round your answer to the nearest hundredth of a percent. * I NEED ANSWER*

Answers

Answer:

Friday = 11.43%Saturday = 17.14%Friday & Saturday = 28.57%

Step-by-step explanation:

Total number of customers

⇒ 15 + 5 + 10 + 14 + 8 + 12 + 6 = 70

Percentage of customers who came on Friday

[tex]\begin{aligned}\implies \sf Percentage & = \sf \dfrac{Friday\:customers}{Total\:number\:of\:customers} \times 100\\\\& = \sf \dfrac{8}{70} \times 100\\\\& = \sf 11.43\%\:\:(nearest\:hundredth)\end{aligned}[/tex]

Percentage of customers who came on Saturday

[tex]\begin{aligned}\implies \sf Percentage & = \sf \dfrac{Saturday\:customers}{Total\:number\:of\:customers} \times 100\\\\& = \sf \dfrac{12}{70} \times 100\\\\& = \sf 17.14\%\:\:(nearest\:hundredth)\end{aligned}[/tex]

Percentage of customers who came on Friday and Saturday

[tex]\begin{aligned}\implies \sf Percentage & = \sf \dfrac{Fri\:and\:Sat\:customers}{Total\:number\:of\:customers} \times 100\\\\& = \sf \dfrac{8+12}{70} \times 100\\\\& = \sf 28.57\%\:\:(nearest\:hundredth)\end{aligned}[/tex]

28.57 is the answer, and its rounded to the nearest hundredth

A regular polygon is drawn in a circle so that each vertex is on the circle and is connected to the center by a radius. Each of the central angles has a measure of 40°. How many sides does the polygon have?

8
9
10
12

Answers

The polygon has 9 sides

Answer:

9

Step-by-step explanation:

Solve this question, and I'll be extremely thankful (:
Thanks to whoever can do this for me!
-
Problem:
Using Scratch (or whatever programming language you are comfortable with), create code that would allow a user to input the legs of a right triangle and the output would be the length of the hypotenuse.

Create a program that finds the leg of a triangle given the hypotenuse and another leg and add an error message if the leg is longer than the hypotenuse.

Send a screenshot when you're done.

Answers

Answer:

it is in java and it is also can be done in BlueJ

Step-by-step explanation:

please mark me brainlist

Pls solve with working out. Ok thanks

Answers

Answer:

AB and CD have the same midpoint, therefore they bisect each other.

Step-by-step explanation:

Find the midpoint of AB. Then, find the midpoint of CD. They are the same. The segments bisect each other. See image.

What is the value of x?
to
x = [? ]°
36°
Enter
I will give you 25 pts

Answers

The vale of x is 54°.

What is tangent?

The tangent is defined as a line touching circles or an ellipse at only one point.

We have,

As, the tangent is perpendicular to the radius of the circle.

So, using Angle sum property in a triangle

x+90+36= 180

x+126 = 180

x= 54°

Hence, the value of x is 54°

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The orbital period of a satellite is 2 × 106 s and its total radius is 2.5 × 1012 m. the tangential speed of the satellite is m/s. (round to the nearest whole number, do not add any punctuation.)

Answers

the answer would be 45 of a satellite

Answer:

7,853.982

Step-by-step explanation:

Edg 2022

which of the following are NOT classified as a trapezoid? Select all that apply

a) rhombuses
b) parallelograms
c) rectangles
d) squares
e) quadrilaterals

Answers

Answer:

[tex]\boxed {a, b, c, d}[/tex]

Step-by-step explanation:

Rhombuses, parallelograms, rectangles, and squares cannot be classified as trapezoids as they have 2 pairs of parallel sides each. But quadrilaterals can be classified as trapezoids if they have a pair of parallel sides and a pair of non-parallel sides.

a) rhombuses

b) parallelograms

c) rectangles

d) squares

The coordinates of the vertices of △ABC are A(−2,2), B(5,−3), and C(−4,−1). Identify the perimeter of △ABC. Round each side length to the nearest tenth before adding.

Answers

The perimeter of the triangle is 21.4 units

How to determine the perimeter?

The points are given as:

A(−2,2), B(5,−3), and C(−4,−1)

Calculate the side lengths using:

[tex]d = \sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2[/tex]

So, we have:

[tex]AB = \sqrt{(-2 -5)^2 + (2 + 3)^2} = 8.6[/tex]

[tex]AC = \sqrt{(-2 +4)^2 + (2 + 1)^2} = 3.6[/tex]

[tex]BC = \sqrt{(5+4)^2 + (-3 + 1)^2} = 9.2[/tex]

The perimeter is then calculated as:

P = AB + AC + BC

This gives

P = 8.6 + 3.6 + 9.2

Evaluate

P = 21.4

Hence, the perimeter of the triangle is 21.4 units

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Find the measure of one interior angle of a regular 21-gon.

A. 160
B. 162.9
C. 165.6
D. 165

Answers

C step-by-step the coordinate of that is pretty simple to say but hard at the same time
Measure of sum of interior angles formula (where “n” is number of sides): (n-2)180

(21-2)180
=3420

3420 is the measure of the sum of a regular 21-gon, and to find the measure of only one angle, we need to divide the sum by the number of sides, so
3420/21

= 162.9

the answer is B

If sin(theta) = 4/7, what is cos(theta)? PLEASE HELP!

Answers

Step-by-step explanation:

sin(theta)=4/7

cos(theta)=√1-sin²theta

=√1-(4/7)²

=√1-16/49

=√(49-16)/49

= √33/49

=(√33)/7

A pet store has 10 ​puppies, including 3 ​poodles, 4 ​terriers, and 3 retrievers. if rebecka and​ aaron, in that​ order, each select one puppy at random without replacement​ (they may both select the same​ one), find the probability that they both select a poodle

Answers

Step-by-step explanation:

the problem description is seemingly contradicting itself.

"without replacement" means that you don't put the picked item back into the bag or "pool" of items.

and that means that after Rebecka picked a puppy, Aaron CANNOT pick the same one at all.

but then it says that they both may select the same one. which means it is WITH replacement.

so, what is it now ?

I have to give you both answers, and you will have to clarify with your original question or directly with your teacher what is the true condition.

in any case, a probability is always

desired cases / total possible cases.

WITH replacement (they can both pick the same puppy) :

there are 10 puppies, from which 3 are poodles.

so, total possible cases = 10, desired cases = 3

the probability to pick a poodle at the 1st pick = 3/10.

the picked puppy goes back.

the probability to pick a poodle at the 2nd pick = 3/10.

the probability that both picks are poodles is

3/10 × 3/10 = 9/100 = 0.09

WITHOUT replacement :

the first picked puppy is not returned to the group of 10 puppies, so, it can't be picked again, and the number of available puppies gets less as each puppy is removed. this changes the probabilities.

at the beginning we have 10 puppies, from which 3 are poodles.

the probability to pick a poodle at the 1st pick = 3/10.

the picked puppy does NOT go back.

now we have 9 puppies for Aaron to pick from. and for our desired cases for the second pick we have to combine it with the outcome, that the first pick was a poodle.

that means we have only 2 poodles left in the group of 9 puppies.

the probability to pick a poodle at the 2nd pick = 2/9.

the probability that both picks are poodles is therefore

3/10 × 2/9 = 6/90 = 1/15 = 0.066666666...

HELPPPP ASAAPPPP PLEASEEEE

Answers

(A) n=w by the corresponding angles theorem.

(B) This is the correct answer. n=s by the vertical angles theorem and s and x are supplementary by the same-side interior angles theorem. Thus, n and x are supplementary and not always equal.

(C) n=z by the alternate exterior angles theorem.

(D) s=w, so (s+w)/2 = (s+s)/2 = s. Since n=s by the vertical angles theorem, n=s.

(E) n and w are equal by the corresponding angles theorem, and w and y are supplementary as they form a linear pair. Thus, n+y=180, and it follows n=180-y.

Under her cell phone plan, Aubree pays a flat cost of $58.50 per month and $3 per gigabyte. She wants to keep her bill at $72.30 per month. How many gigabytes of data can she use while staying within her budget?

Answers

Answer:

Aubree can use 4.6 gigabytes of data while staying within her budget.

If the answer choices only use whole numbers, use 4 gigabytes, because it is the number of full gigabytes she can use.

Step-by-step explanation:

x= gigabyte

58.50 + 3x = 72.30

3x = 72.30-58.50

3x= 13.8

x= 4.6

Explore sums of complex
numbers by moving points A
and B and noticing how the
sum of those points written
in the expression below
corresponds to the sum
shown geometrically.
Drag the points, A and B, to
produce a result of -3 + 4i.

Answers

The two-point A and B will be -1+2i and -2+2i respectively.

What is the complex number?

A complex number is one that has both a real and an imaginary component, both of which are preceded by the letter I which stands for the square root of -1.

The complex number is given as;

x+iy

Where x is the real part and iy is the imaginary part.

The two points added to obtained -3 + 4i are;

A = -1+2i

B= -2+2i

The sum of the two points is;

⇒A+B;

⇒-1+2i + -2+2 i

⇒-3 + 4 i

Hence the two-point A and B will be -1+2i and -2+2i respectively.

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If a = 6, then the value of c is...

Answers

Answer:

[tex]\boxed{\bf B. \: c = 4 \sqrt{3} }[/tex]

Step-by-step explanation:

Since a = 6, then, b = 3.47 ( opposite of 30°).

By applying the pythagoras theorem..

[tex] \boxed{\bf {h}^{2} = {p}^{2} + {b}^{2}} [/tex][tex]\bf {(c)}^{2} = {(a)}^{2} + {(b)}^{2} [/tex][tex] \bf {c}^{2} = {(6)}^{2} + {(3.47)}^{2} [/tex][tex] \bf {c}^{2} = 36 + 12[/tex][tex]\bf {c}^{2} = \sqrt{48} [/tex][tex]\bf c = 4 \sqrt{3} [/tex]______________________

Answer:

4√3 or B

Step-by-step explanation:

What is the value of x
Enter your answer in the box

X= _ degrees

Answers

Answer:

x = 55 degrees

Step-by-step explanation:

The sum of the internal angles of a triangle results in 180°

x + 50° + 75° = 180°

x + 125° =180°

x = 180° - 125°

x = 55°

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