options: (50)^1/2, (65)^1/2, (105)^1/2, (145)^1/2
last sentence options: 55.21, 85.16, 105.26, 114.11

Options: (50)^1/2, (65)^1/2, (105)^1/2, (145)^1/2last Sentence Options: 55.21, 85.16, 105.26, 114.11

Answers

Answer 1

Answer:

Step-by-step explanation:

Vertices of ΔABC are,

A(-3, 6), B(2, 1) and C(9, 5)

Use the formula to get the distance between two points [tex](x_1,y_1)[/tex] and[tex](x_2,y_2)[/tex],

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

By using the formula,

AB = [tex]\sqrt{(1-6)^2+(2+3)^2}[/tex]

     = [tex]\sqrt{50}[/tex] units

BC = [tex]\sqrt{(5-1)^2+(9-2)^2}[/tex]

     = [tex]\sqrt{65}[/tex] units

AC = [tex]\sqrt{(6-5)^2+(-3-9)^2}[/tex]

     = [tex]\sqrt{145}[/tex]

Use cosine rule to find the measure of ∠ABC.

AC² = AB² + BC²- 2(AB)(BC)cos(B)

[tex](\sqrt{145})^2=(\sqrt{50})^2+(\sqrt{65})^2-2(\sqrt{50})(\sqrt{65})\text{cosB}[/tex]

145 = 50 + 65 - 2(√3250)cosB

cos(B) = [tex]-(\frac{145-115}{2\sqrt{3250}})[/tex]

          = -0.26312

B = [tex]\text{cos}^{-1}(-0.26312)[/tex]

B = 105.26°


Related Questions

17
Select the correct answer from each drop-down menu.
Consider this system of equations:
2x+ıy=3
(equation A)
fr-y=6
(equation B)
The expressions that give the value of y are
The solution for the given system is
and

Answers

Answer:

The expressions that give the value of y are A - 3B and (1/3)A - B

The solution is (27/13, -60/13)

Step-by-step explanation:

We can see both equation A and equation B.

Equation A: 2x + (1/4)y = 3

Equation B: (2/3)x - y = 6

To find the value of y, we have to solve both equations A and equation B simultaneously. This is done by multiplying equation B by 3 and subtracting from equation A (A - 3B) to get:

(13/4)y = -15

y = -60/13

you can also get y by dividing equation A by 3 and subtracting equation B (1/3A - B)

Put y = -60/13 in equation A to get x:

2x + (1/4)(-60/13) = 3

2x = 3 + 15/13

2x = 54/13

x = 27/13

The solution is (27/13, -60/13)

determine if 5yx - 17xy are like terms​

Answers

Step-by-step explanation:

yes they are because they have the same variables which are X& Y

Answer:

5yx-7xy

they are like terms, it's all multiplication just a different arrangement

5xy-7xy=-2xy

Step-by-step explanation:

hope this is helpful

Solve for the questions (both of them) and label you answers for which question

Answers

Jjbbh I don’t under stand

the question is on the image​

Answers

Answer:

(i) - rectangular prism

(Ii) - triangular prism

(iii) - square pyramid

Step-by-step explanation:

please help it’s easy i’ll give u brainilest <33

Answers

Answer:

for (a)

Step-by-step explanation:

15 and 25 are the numbers that come in A union to B

Evaluate the expression. 24.32

Answers

2^4×3^2 = 144

___________

Answer:

144 would be the answer.

Step-by-step explanation:

Question:- [tex]2^{4}[/tex] · [tex]3^{2}[/tex]

[tex]2^{4}[/tex] = 2 x 2 x 2 x 2

   = 4 x 2 x 2

   = 8 x 2

   = 16

[tex]3^{2}[/tex] = 3 x 3

   = 9

So, [tex]2^{4}[/tex] · [tex]3^{2}[/tex] = 16 x 19

              = 144

What is the image of the point (8,4) after a rotation of 90° counterclockwise about the origin?

Answers

Answer:  (-4, 8)

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

Explanation:

The 90 degree counterclockwise rotation rule we use is

[tex](x,y) \to (-y,x)[/tex]

the x and y coordinates swap places, and we change the sign of the first coordinate after the swap.

After using that rotation rule, we would go from (8,4) to (-4, 8) which is the final answer.

----------------

Extra info (optional section):

Define the following three points

A = (0,0)

B = (8,4)

C = (-4,8)

Use the slope formula to find that AB and AC have slopes of 1/2 and -2 in that order.

Those slopes multiply to -1, since (1/2)*(-2) = -1. This is a property of any two perpendicular lines as long as neither line is vertical and neither is horizontal. So this is sufficient to prove that the lines are perpendicular. This further means that a 90 degree rotation has taken place.

Which ordered pair is the best estimate
for the solution of the system of
equations?

y= 3/2x +6
y=1/4x -2

Answers

Answer: -6.4, -3.6

Explanation: A souloution of the system of equations is, when two equations intercept (y= 3/2x +6, y=1/4x -2)

After simplification, the value of 1-2/1(1+2)-3/(1+2)(1+2+3)-4/(1+2+3)(1+2+3+4)-...-100/(1+2+...+99)(1+2+...+100)
is a proper fraction in its lowest form. Find the difference of its numerator and denominator.

Answers

Answer:  no

Step-by-step explanationn.  .......................................................w:eorkeok,feoferkeorkoe

Which is the equation of a line perpendicular to the line with the equation: y = −14x + 7

y = -4x - 7

y = 4x + 2

y = 14x − 12

y = −14x + 3

Answers

The answer is y=14x? 3

2. What is the area of the figure below. Simplify.

Answers

Answer:

x^2 - 9

Step-by-step explanation:

length = 2x - 6 = 2(x-3)

Area = [2(x-3) * (x + 3)]/2 = (x-3)(x+3) = x^2-9

Answer: x = 9

2x -6= x +3

2x -x= 3 +6

x= 9

Can someone please help me. If you do thanks

Answers

Answer:

(B)

Step-by-step explanation:

Can't explain lol, but that's the answer

Yes the answer is B!

Help please
What value of x will ensure that the shelves are parallel?

Answers

i’m pretty sure the answer is 84.

180-96=84

for the to be parallel both the angle must be equal

so 7x - 20 = 3x + 20 - > 4x = 40⁰

x = 10⁰

ANSWER PLZ ILL GIVE BRAINLEST

Answers

Answer:

y is 4

Step-by-step explanation:

x is 3

y is 4 coordinate is (3,4)

Answer:

4

Step-by-step explanation:

John finds that the sum of two numbers is 24 and their difference is one sixth of the sum. Find the smallest number between the two numbers

Answers

Answer:

The smallest number is 10

Step-by-step explanation:

x+y=24---equation 1

x-y=¹/6×24=>x-y=4---equation 2

Add both equations

2x=28

x=14

put x=14 into equation 1

14+y=24

y=24-14=10

Which is the graph of the equation y-1=- f (x-3)?

Answers

this will be the graph of your equation. hope it helps

Maths assignment
9p^2-16q^2

Answers

Answer:

[tex]9p^2-16q^2[/tex]

[tex](3p)^{2} -(4p)^{2}[/tex]

[tex]\underline{x^2-y^2=\left(x+y\right)\left(x-y\right)}[/tex]

[tex]\left(3p\right)^2-\left(4q\right)^2=\left(3p+4q\right)\left(3p-4q\right)[/tex]

[tex]=\left(3p+4q\right)\left(3p-4q\right)[/tex]

------------------------

hope it helps....

have a great day!!

The scale on a map is 1cm = 250 km. What would be the distance on the map, if the actual distance between the two cities is 1,000km? *​

Answers

Answer:

so if its actually 1000 and that map thing is 250

250 goes into 1000 4 times so

4cm

Hope This Helps!!!

What is the range of the given function ?
{(-2,0),(-4,-3),(2,-9),(0,5),(-5,7)}

Answers

Answer:

{0,-3,-9,5,7}

Step-by-step explanation:

range = all y values

function =(x,y)

so all the second values are ranges

Solve. Algebra 1
1-4p-2p=1-5p

Answers

Answer:

p = 0

Step-by-step explanation:

1 - 4p - 2p = 1 - 5p

-6p + 1 = -5p + 1

-p + 1 = 1

-p = 0

p = 0

Find the greatest common factor of the
following monomials:
12a^2, 32a^3

Answers

Answer:

4a^2

Step-by-step explanation:

GCF of 12 and 32 is 4.

GCF of a^3 and a^2 is a^2.

Therefore, the answer is 4a^2.

Solve: 4(x + 3) ≤ 44


x ≥ 16


x ≤ 16


x ≤ 8


x ≥ 8

Please help

Answers

Answer:

C

Step-by-step explanation:

[tex]4(x + 3) \leqslant 44 \\ \\ 4x + 12 \leqslant 44 \\ 4x \leqslant 44 - 12 \\ 4x \leqslant 32 \\ 4x \div 4 \leqslant 32 \div 4 \\ x \leqslant 8[/tex]

the first three terms of a series of which the nth term is 2n+1.​

Answers

Answer:

3, 5, 7

Step-by-step explanation:

Substitute n = 1, 2, 3 into the nth term rule

a₁ = 2(1) + 1 = 2 + 1 = 3

a₂ = 2(2) + 1 = 4 + 1 = 5

a₃ = 2(3) + 1 = 6 + 1 = 7

Answer:

3, 5, 7

Step-by-step explanation:

n = 1, 2, 3 into the nth term rule

a₁ = 2(1)+1=2+1=3

a2=2(2)+1=4+1=5

a3 = 2(3)+1=6+1=7


A student answered 68 questions correctly in a test and received a grade
of 85%. How many problems were on the test, if all the problems carried
the same number of points?

Answers

Answer:

There are 80 questions on the test

Step-by-step explanation:

I think this is right, but don't quote me on this.

how do I solve this question (step by step)?

Answers

Answer:

see explanation

Step-by-step explanation:

Angles on the circumference subtended on the same arc are equal

Angle at the centre is twice the angle at the circumference subtended on the same arc.

Then

∠ BAC = ∠ BDC = 29°

∠ BOC = 2 × ∠ BDC = 2 × 29° = 58°

A tether ball is attached to the top of a 15-foot pole. Maddy holds the ball 3 feet off the ground and 4 feet from the pole. How long is the rope that the tether ball is attached to?

Answers

Answer:

15.52 ft

Step-by-step explanation:

the length of the rope can be determined using Pythagoras theorem

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c =  hypotenuse

√15² + 4²

= √225 + 16

=√ 241

= 15.52 ft

Answer:

the answer is b the square root of 160

Step-by-step explanation:

i did it on the assignment

is my answers correct?

Answers

Answer:

Saleh is x years old. And 10 years ago he was 100 years old.

Suha is x years old. Saleh is 10 years younger than Suha. Saleh is 100 years old.

Yes it is the correct answer

what is the measure of 6 ?

Answers

Answer:

54°

Step-by-step explanation:

Here :-

13x + 9 + 5x + 9 = 1801 8x + 18= 180 18x = 162x = 9

Measure of 6 :-

6 = 5x + 9 6 = 5*9 +9 6 = 45 + 9 6 = 54°

Answer:

m<6 = m<2 = 54º

Step-by-step explanation:

13x + 9 + 5x + 9 = 180

18x + 18 = 180

18x = 180 - 18

18x = 162

x = 162 / 18

x = 9

13x + 9

13(9) + 9

126

180 - 126

54

m<6 = m<2 = 54º

Write an equation that represents the line.

Answers

Answer:

y = 7/5x + 7

Step-by-step explanation:

PLEASE HELP ASAP!!!!!!


Describe the graph of a function g by observing the graph of the base function ƒ.


g(x) = ƒ(x + 5) + 3

g(x) = ƒ(x + 3) + 5

g(x) = 2ƒ(x + 3)

g(x) = ƒ(x – 3) – 5

Answers

Answer:

g(x)=f(x+3)+5

Step-by-step explanation:

Other Questions
Select the correct answer.How does a proper warm up affect blood flow?A.Blood flow increases.B.Blood flow decreases.C.Blood flow increases and then decreases.D.Blood flow decreases and then increases. An electrostatic paint sprayer has a 0.17 m-diameter metal sphere at a potential of 25.0 kV that repels charged paint droplets onto the object to be painted, which is grounded (electric potential of 0). if sine Theta is less than 0 and tan Theta is greater than 0 then Write two pairs of integers (a, b) such that a / b = -4.One such pair is (8, -2) because 8/ -2 = (-4). A small car increases its speed from 10 m/s to 15 m/s. Its mass is 1,200 kg. What is the impulse?A. 6,000 kg-m/sB. 18,000 kg-m/sC. 12,000 kg.m/s D. 1,200 kg-m/s Floataway Tours has $420,000 that can be use to purchase new rental boats for hire during the summer. The boats can be purchased from two different manufacturers. Floataway Tours would like to purchase at least 50 boats and would like to purchase the same number from Sleekboat as from Racer to maintain goodwill. At the same time,Floataway Tours wishes to have a total seating capacity of at least 200. Required:Formulate this problem as a linear program. A company had cash sales of $49,527, credit sales of $38,540, sales returns and allowances of $7,100 and sales discounts of $4,375. The company's net sales for this period equals what? (I added cash sales and credit sales. Then I subtracted sales returns and allowances and sales discounts. Not sure if my calculations are correct.) Please explain your answers. A water wave passes by a floating leaf that is made to oscillate up and down two complete cycles each second, which means that the wave's frequency is A blue chip company that makes computer chips found that 2 out ofevery 300 chips are defective. What is the percentage of the defectivechips?RE what type of Literary Devices is this passage and provide an explanation " A wealthy peasant marches Weakly across a blazing glacier As the stars in the cloudy sky Glisten grimly.need this ASAP please What is the value of x? Show work. Dana believes that a new phone to be sold by Ear Fruit Inc. will become the most popular phone in the global market. Dana enters into a contract to buy 500 shares of Ear Fruit stock, anticipating an increase in its value. The phone does not become popular, and the price of the stock does not rise. Dana can recover Group of answer choices Lol do yu guys know this?? plz help If AABC IS REFLECTED across the y axis what are the coordinates of A Show that the path followed by a projected horizontally frop top of the tower with uniform speed is a parabola . Mustang Corporation reports the following for the month of April:Finished goods inventory, April 1$32,600 Finished goods inventory, April 30 26,600 Total cost of goods manufactured 123,800The cost of goods sold for April is:a. $61,900.b. $124,500.c. $112,900.d. $173,700.e. $150,000 Please help me and answer quick please What did Socrates think made people truly happy? knowing themselves being educated acting kindly answering questions True or False: Timothy, Jude, and Eric are working in the marketing department of a multinational corporation. They each have similar backgrounds and experience and are thinking about leaving their current company to start their own business. Successful entrepreneurial teams are comprised of these types of people because similarities in knowledge and skill ensure harmony and consistency in their new business. Three strategies a leader of a youth group may use to promote cooperation among members