a triangle ABC like the one below suppose that a=40, B = 62 and c= 23 (the figure is not drawn to scale) solve the triangle carry your intermediate computations to at least four decimal places , and round your answers to the nearest tenth . if there is more than one solution , use the button labeled "or"

Answers

Answer 1

Answer:

Answer:

A =24.7° ; B = 40.6° ; C =114.7°

Step-by-step explanation:

Cosine Law

a² = b²+c²-2bc cos A

b² = c²+a² -2ca cos B

Sum of three angles of a triangle is 180°.

a = 34 ; b= 53; c = 74

Substituting the given values in the cosine law, we have

34² = 53² + 74² - 2*53 *74 * cos A

7844 cos A = 2809 + 5476 - 1156 = 7129

cos A = 7129/7844 = 0.9088

A = cos⁻¹ (0.9088) = 24.6600° = 24.7°

53² = 74² + 34² - 2 (74)(34) cos B

5032 cos B = 5476 + 1156 - 2809 = 3823

cos B = 3823/5032 = 0.7597

B = cos⁻¹ (0.7597) = 40.5622° = 40.6°

Also, A + B + C = 180°

24.7 + 40.6 + C =180

C =180 -  65.3 = 114.7°

∴ A =24.7° ; B = 40.6° ; C =114.7°

Step-by-step explanation:

Im not sure if it is right. But hope it helps


Related Questions

what is -3(4+(-7) + (-2( 5) -17) with examples please

Answers

Answer:

90

Step-by-step explanation:

100 PTS AND WILL GIVE BRAINLY!!!

THE SCENARIO
The Tortoise and the Hare finally have their long awaited rematch. The Tortoise gets a
300 m lead and runs at 0.2 m/s. The Hare begins at the starting line and runs at a rate of 2 m/s. There is also a rat in this race. The Rat starts 350 m ahead of the Hare and runs back towards the starting line at a rate of 0.6 m/s.

THE CALCULATIONS
Create a table of values for each runner in the race. The domain for the race will be 0 ≤ t ≤ 200 seconds. You can decide on 5 time intervals for your table.

Answers

Answer:
Tortoise:

Hare:
Rat:

All will be shown later

Step-by-step explanation:

Equation for Torotise: f(x)=0.2(x)+300

Equation for the Hare: f(x)=2(x)

I hope it helps! I will show you screenshots in the comments

WILL MARK BRAINLIEST! WILL GIVE 57 POINTSSSS! NO FUNNY ANSWERS I WILL REPORT YOU UNTIL YOU GET BANNED.

Complete the function table. then write a rule for the function.

Pls Help Quickly! :)

Answers

Answer:

-5

-3

-2

Rule:  Subtract 2 from the input value

Step-by-step explanation:

Examine the pattern of the input and the corresponding output for the two given ordered pairs:

Input -2 → Output -4  

Output - Input =  -4 - (-2) = -2

Input 1 → Output -1

Output - Input = -1 - 1 = -2

Therefore to get the output value (y-value), we subtract 2 from the input value (x-value).

[tex]\begin{array}{| c | c |}\cline{1-2} x & y \\\cline{1-2} -3 & -5 \\\cline{1-2} -2 & -4 \\\cline{1-2} -1 & -3 \\\cline{1-2} 0 & -2\\\cline{1-2} 1 & -1 \\\cline{1-2}\end{array}[/tex]

As the rule for the function is the subtract 2 from the input value to get the output value, we can write this as:

Output = Input - 2

or as an equation:  [tex]y=x-2[/tex]

Find the equation of a line that passes through point (2,4) and has a gradient of 3

Answers

Answer:

y=3x-2

Step-by-step explanation:

y-y0=m(x-x0)

y-4=3x-6

y=3x-2

[tex]\rule{300}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]

Find the equation of a line that passes through (2,4) and has a gradient of 3.

[tex]\dashrightarrow\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}[/tex]

First, let's take a look at our provided information.

| Provided information:-

Point (2,4)Gradient  3

What we need to find:-the line's equation

How to find it using our provided information (gradient & point)?

  write the equation of the line in point-slope form

point-slope form:-

[tex]\sf{y-y_1=m(x-x_1)}[/tex]

how to solve:-

Replace y₁ with 4Replace m with 3 (m is the gradient)Replace x₁ with 2

therefore,[tex]\sf{y-4=3(x-2)}[/tex]

[tex]\bigstar[/tex] On simplification,

[tex]\sf{y-4=3x-6}[/tex]

[tex]\bigstar[/tex] On further simplification,

[tex]\sf{y=3x-6+4}[/tex]

Which results in:-

[tex]\sf{y=3x-2}[/tex]

Good luck with your studies.

[tex]\rule{300}{1}[/tex]

Here are two rectangles. the area of the shaded rectangle is 1/4 the area of the large rectangle. work out the value of x

Answers

The area of the rectangle is the product of length and width. The value of the variable x is 3.6 cm

What is the area of the rectangle?

Let L be the length and W be the width of the rectangle.

Then the area of the rectangle will be

Area of the rectangle = L × W square units

The diagram is given below.

Let A₁ be the area of the small rectangle and A be the area of the large rectangle.

                 A₁ = 1/4 A

               4A₁ = A

4 × 2× (12 - x) = 12 × (x + 2)

       8(12 - x ) = 12x + 24

         96 - 8x = 12x + 24

                 72 = 20x

                   x = 3.6

Then the value of the variable x is 3.6 cm

More about the area of the rectangle link is given below.

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4m=6m-2/5

First answer get to be brainliest! ​

Answers

Answer:

m = 1/5

Step-by-step explanation:

4m = 6m - 2/5

-2m = -2/5

m = 2/5 : 2

m = 1/5

12. Solve the following inequality.

Answers

Answer:

C. The solution set is {x|x < 6}.

Step-by-step explanation:

Given :

7x + 4 < 46

Subtract 4 from both sides.

7x + 4 - 4 < 46 - 47x < 42

Divide 7 from both sides.

7x/7 < 42/7x < 6

C. The solution set is {x|x < 6}.

The kinetic energy (K) that an object has varies jointly with its mass (m) and the square of its velocity (v). The equation that represents this relationship is given by [tex]K=kmv^2[/tex] where k is the kinetic energy constant. If a bowling ball of mass 5 kilograms is traveling at 2 meters per second, its kinetic energy is 10 Joules. What is the kinetic energy of a bowling ball of mass 3 kilograms traveling at 2.6 meters per second?

Answers

The kinetic energy of the bowling ball with the mass and traveling at the given velocity is 10.14 Joules.

What is Kinetic Energy?

Kinetic energy is simply a form of energy a particle or object possesses due to its motion.

It is expressed as;

K = (1/2)mv²

Where m is mass of the object and v is its velocity.

Given that;

Mass of the bowling ball m = 3kgVelocity of the bowling ball v = 2.6m/sKinetic energy K = ?

We substitute the given values into the above equation.

K = (1/2)mv²

K = 0.5 × 3kg × (2.6m/s)²

K = 0.5 × 3kg × 6.76m²/s²

K = 10.14kgm²/s²

K = 10.14J

Therefore, the kinetic energy of the bowling ball with the mass and traveling at the given velocity is 10.14 Joules.

Learn more about kinetic energy here: brainly.com/question/12669551

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◄) There were 60 dogs at the dog park last Saturday, and 30 of them were purebreds.
Considering this data, how many of the next 18 dogs to arrive at the park next Saturday
should you expect to be purebreds?
purebreds
Submit

Answers

30!outcof 60 were purebreds 30/60 = 1/2


1/2 of the dogs were purebreds.


18 x 1/2 = 9


Answer: 9 dogs

Answer:9 points

Step-by-step explanation:in the hyperproberbillity of things it’s this answer.

The figures below are similar. What is v?

Answers

Answer:

v = 16 mm

Step-by-step explanation:

since the figures are similar then the ratios of corresponding sides are in proportion, that is

[tex]\frac{v}{20}[/tex] = [tex]\frac{28}{35}[/tex] ( cross- multiply )

35v = 560 ( divide both sides by 35 )

v = 16

can someone help me with this​

Answers

angles in a triangle always equal to 180° so:

1. all the angles are equal to each other

180°÷3=60°

2.

•we know 1 angle, 68°

• straight lines are 180°-> 180°-126°= 54°

180°-68°-54°= 58°

A line that passes through the points (x, 4) and (6, -1) has a slope of 56. what value of x will yield the given slope?

Answers

The value of x that yields a slope of 56 is 6.09

How to determine the value of x?

The given parameters are:

Slope = 56Points: (x,4) and (6,-1)

The slope of two points is:

[tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]

This gives

[tex]\frac{-1 -4}{6 -x} = 56[/tex]

Evaluate the difference

[tex]\frac{-5}{6 -x} = 56[/tex]

Cross multiply

56(6 - x) = -5

Divide both sides by 56

6 - x = -0.09

Make x the subject

x = 6 + 0.09

Evaluate

x = 6.09

Hence, the value of x that yields a slope of 56 is 6.09

Read more about slope at:

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PLEASE HELP QUICKLY!

Part A: Abe rented a bike at $36 for 5 days. If he rents the same bike for 8 days, he has to pay a total rent of $48.

Write an equation in the standard form to represent the total rent (y) that Abe has to pay for renting the bike for x days. (4 points)

Part B: Write the equation obtained in Part A using function notation. (2 points)

Part C: Describe the steps to graph the equation obtained above on the coordinate axes. Mention the labels on the axes and the intervals. (4 points)

(10 points)

Answers

Answer:

(5,36)(8,48)slope = (48 - 36) / (8 - 5)

Step-by-step explanation:

Answer: Equation of the system is y = 4x + 16 and in function form is f(x) = 4x + 16.

Explanation

Hi everyone i hope you can help with this exercise

Answers

s = area = 11.76

p = perimeter = 16.8

r=2*11.76/16.8=23.52/16.8=1.4

r=1.4

a= 90 degrees

b=36.87 degrees

c=53.13 degrees

triangle is in a circle

Circumradius: R = 3.5

please help me out!!!
A trapezoid with short base fourteen centimeters, long base thirty-eight centimeters, height sixteen centimeters, and diagonal side lengths twenty centimeters.
320 square centimeters
608 square centimeters
416 square centimeters
560 square centimeters

Answers

Answer:

416 square centimeters

Step-by-step explanation:

Formula for finding area of a trapezoid :

A = 1/2 x (a + b) x h

a and b = parallel sides of the trapezoidh = height of the trapezoid

Solving :

A = 1/2 x (38 + 14) x 16A = 8 x 52A = 416 square centimeters

Answer:

416 cm²

Step-by-step explanation:

The figure we are given, is a trapezoid. Let's apply the "area of trapezoid" formula to determine the area of the trapezoid provided.

[tex]\boxed{\text{Area of trapezoid:} \ \dfrac{a_1 + a_2}{2} h}[/tex]

[Where a₁ and a₂ are the measure of the parallel sides and h is the height]

Let's plug the height and the parallel sides into the formula and simplify it:

[tex]\text{Area of trapezoid} = \dfrac{38 + 14}{2} \times 16}[/tex]

[tex]\text{Area of trapezoid} = \dfrac{52}{2} \times 16}[/tex]

[tex]\text{Area of trapezoid} = 26 \times 16}[/tex]

[tex]\boxed{\text{Area of trapezoid} = 416 \ \text{cm}^{2}}[/tex]

Therefore, the area of the trapezoid is 416 cm².

Learn more about area of trapezoids: https://brainly.com/question/26695399

9 in.
5 in.
4
5 in.
What is the volume of a square pyramid that has a
base length of 5 inches and a height of 9 inches?
cubic inches
Volume of a pyramid: V = Bh Where "B" is the area of the pyramid's base)

Answers

Answer:

75

Step-by-step explanation:

1/3 * 5² * 9 = V

1/3 * 25 * 9

= 75

Consider the function f(x) = log x. Which two transformations can be used to move
the graph of f(x) to the graph of -f(x+4)?
Select all that apply

Answers

The parent function will translate 4 units to the left and reflect over the x-axis option (C) and (E) are correct.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a function:

f(x) = log x

First transformation:

Replace x → (x+4)

The parent function will shift left side by 4 units.

Second transformation:

Multiply the function with -1

The function will reflect over x-axis

The function becomes:

g(x) = -log(x+4)

Thus, the parent function will translate 4 units to the left and reflect over the x-axis option (C) and (E) are correct.

Learn more about the function here:

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Whoever answers first i will mark brainlist

Answers

The answer is A. Hope that helps.
pretty sure that the answer is a

Using the net below, find the surface area of the triangular prism 5 cm 5 cm 4 cm 4 cm 3 cm 3 cm 3 cm 5 cm​

Answers

Answer:

54000

Step-by-step explanation:

use multiplication
do ur own work  if you want to see if I'm wrong

WILL MARK BRAINLESS IF YOU'RE RIGHT!!! "a field in the shape of a right triangle is bordered on one side by a lake on another side by a street and on a third side by a tree line what angle does this lake make the street."​

Answers

Answer:

b≈26.46

Step-by-step explanation:

see image attached

What is the greatest common factor (GCF) of 40 and 56?

Answers

Answer:

8

Step-by-step explanation:

Factors of 40: 1 2 4 5 8 10 20 40

Factors of 56: 1 2 4 8 14 28 56

Common factors: 1 2 4 8

Greatest common factor: 8

Answer:

8

Step-by-step explanation:

Prime factorization

40  = 2 x 2 x 2 x 5

56 = 2 x 2 x 2 x 7             common factor 2 x 2 x 2 = 8

In a recent survey, 8 people were each asked the number of times they have been on an airplane. Here is a list of the responses.
9, 21, 7, 11, 13, 21, 5, 14
Find the range of the data set.


Answers

Answer: 16

Explanation: Range is the difference between the highest and lowest number.
21 - 5 = 16.

Answer: The range of the data set is: " 16 " .

______

Explanation:
The range is calculated by subtracting the lowest value in the given data set from the highest value in the data set.
______

Given: The data set:   9, 21, 7, 11, 13, 21, 5, 14 ;

Let us organize these numbers from lowest value to highest value:
  " 5, 7, 9, 11, 13, 14, 21, 21 " ;
Note:  This is done by inspection.  Note that all eight (8) values are accounted for.
    So, we subtract the lowest value in our given data set:  "5" ;

from the highest value in our given data set:  "21" ;  to get the "range":

            →  " 21 5 = 16 " ;

______
The range is:
 " 16 " .
______
Hope this is helpful!  Best wishes!

You toss a nickel a penny and a dime what is the probability that the nickel comes up heads

Answers

The penny can land two ways. The nickel can land two ways. The dime can land two ways. The quarter can land two ways. The total number of ways that all of them can land is (2x2x2x2)= 16 possibilities. Only ONE result shows no heads . . . TAIL-TAIL- TAIL-TAIL. All of the other 15 possibilities include at least one HEAD. So the probability is 15/16 = 93.25% .

what is the approximate of this cone

Answers

Answer:

so the volume of our cone is exactly π ! As we all know, this can be approximated as volume ≈3.14159

Noemi decide hacer una cadena de solidaridad. Para esto
ella pide $500 a tres amigos, al día siguiente cada uno de los
amigos pide $500 a otros tres amigos y así sucesivamente.
A) ¿Cuánto dinero se habrá recaudado al 5° día?
B) ¿Cuántas personas colaboraron durante los primeros 5
días?.

Answers

The amount of money collected after 5 days is $181,500

The number of people that collaborated during the first 5

days is 363 people

Calculations and Parameters:

To solve this problem, we would use the Geometric Progression with the formula:

[tex]\frac{a(r^n -1)}{r-1} \\[/tex]

Where:

r= 3

a= 3

n= 5

[tex]\frac{3(3^5 - 1)}{3-1} \\[/tex]

= [tex]\frac{3(243 -1)}{2}[/tex]

121 * 3 = 363 people.

Therefore, the amount contributed is $500 * 363= $181,500

Read more about geometric progression here:

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What is the area of the painting shown ?

Answers

Area = length x width

Length = x + 6 + x + 2 = 2x + 8

Width = x + 4 + x = 2x + 4


area = 2x + 8 * 2x + 4

multiply each term by each term


Area = 4x^2 + 24x + 32

Answer: I think this is correct but i'm not sure! the answer should be 48 im not sure though

Step-by-step explanation:

6 x 2 = 12 x 4 = 48

A survey asked 200 Grade 4 students about their reading preferences. Based on Graph #1, about how many of them would you expect prefer comic books?

i added the graph

Answers

Answer:

D. 80

Step-by-step explanation:

The graph shows that about 3/8 ( 37.5% ) of the students enjoy comic books.

200 × .375 = 75

75 rounded to the nearest tens value is 80

Will mark brainlist to whoever answers first
(5).

Answers

Answer:

Step-by-step explanation:

US=26

SV=UV=[tex]\frac{26}{2}[/tex] (diagonals of parallelogram bisect each other)

UV=13

The length of a
rectangle is 12 cm
more than the width.
The perimeter is 44
cm. What is the
length of the
rectangle?

Answers

Answer:

length= 5+ 12= 17

Step-by-step explanation:

will take width as x

then the length is x+12

perimeter = x+ x+12+x+x+12= 44

=4x= 44-24= 36

x= 20/4

x= 5

A solid glass sphere is cast with a diameter of 30 cm. find the volume of the sphere. please leave in terms of pi.
a. v = 20pie cm^3
b. v = 40pie cm^3
c. v = 4,500pie cm^3
d. v=14,137pie cm^3

Answers

Answer:

C

Step-by-step explanation:

Recall that the volume of a sphere is given by:

[tex]\displaystyle V = \frac{4}{3}\pi r^3[/tex]

Because the sphere has a diameter of 30 cm, its radius is 15 cm. Therefore, its volume is:

[tex]\displaystyle \begin{aligned} V & =\frac{4}{3}\pi(15\text{ cm})^3 \\ \\ & = \frac{4}{3}\pi(3375\text{ cm}^3) \\ \\ & = 4500\pi\text{ cm}^3 \end{aligned}[/tex]

In conclusion, our answer is C.

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Read the following excerpt from "The Daughters of the Late Colonel": "She needn't even put the jug on, need she?" said Constantia, as though Kate might very well complain if the jug had been there. Which of the following best describes what this excerpt tells the reader about the sisters' personalities? A. Constantia and Kate took after their father in enjoying simplicity. B. Kate let her sister make most of the household decisions. C. The sisters complained a lot about minor things. D. The sisters let the maid's domineering personality intimidate them. How much of a property exemption is a totally disabled war veteran, making over $40,000 annually and living in California, entitled to What is the greatest common factor of 21xy^3 6x^4y^2A. 42x^4 y^3B. 42x^5 y^5C. 3x^4 y^3D. 3xy^2 A king or queen would most likely rule in a look at the attachment and solve 4. Find the vertex, focus, and directrix of the parabola. Sketch its graph, showing the focus and the directrix.x^{2}=-3 y PLS ANSWER FOR MEEEE FAST TYYYYSMMThe following sphere has. A diameter of 18 cm. Which phrases from the text best show the narrators attitude? select three options. ""need guts"" ""outside the school gates"" ""group of hidaya students"" ""so exposed"" ""no way i had the courage"" I need help PLEASE HELPP Scientists have determined that lactase persistence evolved independently in European and African populations. What do these populations have in common that could result in lactase persistence in both populations? Please help!! And possibly with an explanation, please!!The image above shows one of the nephrons of a kidney. At which point along the nephron will the urine have the lowest water content when the body is activelyreabsorbing water from the blood?ABCD A vaccine is made from...a. Proteins produced by the bodys immune system.b. A weakened or dead form of a pathogen.c. Body cells that are immune to a disease.d. An antibiotic used to treat an infectious disease. !!100!! POINTS PLEASE HELP What is the circumference of the circle? (use 3.14 for pi)(WORTH 30 POINTS) What happens to energy and temperature at various parts of a phasechange graph? There were 16 teams that competed in men's ice hockey at the Salt Lake City Olympics of 2002.Find the number of permutations for the gold, silver, and bronze metals at the awards ceremony. explain how production values can reveal the quality and accuracy of mass media. When Lillian goes bowling, her scores are normally distributed with a mean of 130and a standard deviation of 11. Using the empirical rule, what percentage of thegames that Lillian bowls does she score between 119 and 141? true or false. you would see a partial solar eclipse if you were within the moons penumbra. how do dynamic study modules reward students who accurately assess their confidence?