Calculate the unknown sides and angles of the triangle ABC given.
Given the final answer correct to three significant figures.
C= 25.7° , b= 3.5cm, a = 6cm​

Answers

Answer 1
Answer:See below

Step-by-step explanation:

to understand thisyou need to know about:law of sinelaw of cosinePEMDASlet's solve:

there are 3 ways to solve SAS triangle

use The Law of Cosines to calculate the unknown side,then use The Law of Sines to find the smaller of the other two anglesand then use the three angles add to 180° to find the last angle.

first figure out [tex]\angle C [/tex]

to do so we will use the formula of law of cosine of C angle

[tex] {c}^{2} = {a}^{2} + {b}^{2} - 2ab.\cos(C) [/tex]

substitute the given values of a,b and [tex]\angle C[/tex]

[tex] \sf{c}^{2} = {6 }^{2} + {3.5}^{2} - 2.6.(3.5). \cos( {25.7}^{ \circ} ) [/tex]

simplify squares:

[tex]c^{2}=36+12.25-42.\cos(25.7^{\circ})[/tex]

simplify addition:

[tex]c^{2}=48.25-42.\cos(25.7^{\circ})[/tex]

square root both sides

[tex] \sf \: \sqrt{ {c}^{2} } = \sqrt{ 48.25-42. \cos(25.7^{\circ})}[/tex]

simplify:

therefore

[tex]\bold{c=3.23}[/tex]

use law of sine to figure out angle A

[tex] \dfrac{6}{\sin( \angle \: A) } = \dfrac{3.23}{\sin(25.7)} [/tex]

therefore

[tex]\bold{\angle A=53.66°}[/tex](use calculater to simplify it)

therefore

[tex]\angle B\: is\: 180^{o}-25.70^{o}-53.66^{o}[/tex]

[tex]\bold{= 100.64}[/tex]

Calculate The Unknown Sides And Angles Of The Triangle ABC Given.Given The Final Answer Correct To Three

Related Questions

Addison is shooting a free throw. The initial height of the ball is represented by the____
A. x-intercept
B. y-intercept
C. zeros
D. vertex

Answers

9514 1404 393

Answer:

  B.  y-intercept

Step-by-step explanation:

If we assume that the graph of the free-throw is of height versus time, then the initial height is the y-intercept—when time = 0.

Merlin wants to make more money selling fake beards this month than he did last month. All black beards in his shop cost the same amount of money, and all red beards in his shop cost \$25dollar sign, 25. Let BBB represent the number of black beards and RRR represent the number of red beards that Merlin can sell to make more money than he made last month.

Answers

Complete question :

Merlin wants to make more money selling fake beards this month than he did last month. All black beards in his shop cost the same amount of money, and all red beards in his shop cost $25. Let B represent the number of black beards and R represent the number of red beards that Merlin can sell to make more money than he made last month. 20B+25R > 350 According to the inequality, how much money did Merlin make last month, and how much does each black beard cost?

Answer:

1.) > 350

2.) $20

Step-by-step explanation:

Number of black beard = B

Number red beard = R

Cost of red beard = 25

Last month inequality :

20B+25R > 350

Amount Merlin made last month :

Revenue from both red and black Bearf, Hence amount realized last year greater than 350

Cost per black beard is the Coefficient of B which is 20

Factor fully. Pls help

Answers

Answer:

(2x+9)^2

Step-by-step explanation:

Factor the equation by using the perfect square rule: a^2+2ab+b^2=(a+b)^2 or a^2-2ab+b^2=(a-b)^2 depending on the trinomial

HEP PLSSS

Given f(x)=3x2+4x and g(x)=2x2−x+1.

What is (f+g)(x)?




5x2+3x+1

−x2−5x−1

​6x2−4x+1​

​x2+5x−1​

Answers


(fg)(x) means multiply f(x) by g(x). Use the distributive law:

(fg)(x) = (x2+3x+2)(x+1) = x3 + 3x2 + 2x + x2 + 3x + 2 = x3 + 4x2 + 5x + 2

Angel is making a scale model of his favorite truck. The actual truck is 12 feet long and 4 feet wide. Angel wants his model to be 15 feet in length. What would be the width of his model?

Answers

Answer:

the answer is 5ft wide

Step-by-step explanation:

Hope this helps!

Executives from Six Flags, a well-known amusement park chain, had interest in constructing a Six Flags theme park in a location near Ames city limits. Experts believed that approximately 15% of the surrounding population would be interested in becoming season ticket holders. A random sample of 500 residents of Story County was collected (of the approximately 80,000 residents of Story County). Of the 500 people sampled, 124 said that they would be interested in purchasing season tickets to a Six Flags in Ames. Select the best description of the sample.

Answers

Answer:

Random sample of 500 residents of Story County

Step-by-step explanation:

SAMPLE can be defined as the process in which some group of people are randomly selected from a large population for the sole aim of carrying out statistical analysis that will represent the whole population at large instead of carryingout the SAMPLE on each person.

Therefore based on the information given the best description of the SAMPLE will be the 500 RESIDENT OF STORY COUNTY reason been that we were told that a random SAMPLE of the 500 residents of Story County were collected which in turn represent 80,000 of the residents of Story County at large.

In a right-angled triangle ,right angled at B,if AB=5cm andAC=13cm ,then BC=

Answers

I’ve attached my work below...
Hope it helps!

Answer:

BC = 12cm

Step-by-step explanation:

by phythagoras theorm

AB² + BC² = AC²

5² + BC² = 13²

25 + BC² = 169

BC² = 169 - 25

BC² = 144

BC = √144

BC = 12cm

Xavier asks Kofi if he can guess how many pancakes he made in the morning. Xavier gives him three clues to guess.
“If the number of pancakes I have is…”
i) is a multiple of 3, it is a number between 1 and 17
ii) is not a multiple of 8, it is a number between 20 and 27
iii) is not a multiple of 12, it is a number between 30 and 37
How many pancakes did Xavier make?​

Answers

Answer:

33

Step-by-step explanation:

30
200
y - 200+ 0.50x
y = 50 + 0.30x
Consider the data shown on the graph.
• The y-intercept represents the base price of $ drag and drop answer here for airfare from NYC
• The slope represent a cost of drag and drop answer here cents per mile traveled.
• If the base cost for airfare changed to $50 and the cost per mile is unchanged, the new equation would be drag and drop answer here
• If the cost per mile changed to 50 cents, the new equation would be drag and drop answer here

Answers

Answer:

Step-by-step explanation:

THE ANSWER IS 200 , 30, Y=50+0.30X, Y=200+ 0.50X

The solution is, x = 20, is the solution of Y=0.25x +50=0.30x+ 40.

What is equation?

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.  In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

here, we have,

EXPLANATION

The equation given can be express as

y = 0.25x + 50

y = 0.30x + 40

Since, both equations are functions

Equate the two functions together

0.25x + 50 = 0.30x + 40

Collect the like terms

0.25x - 0.30x = 40 - 50

x(0.25 - 0.30) =-10

x(-0.5) = -10

-0.5x = -10

Divide both sides by -0.5

-0.5x / -0.5 = -10/-0.5

x = 10/0.5

x = 20

When collecting the like terms, we isolate values with the same variables from values with a different variables.

If a positive sign crosses an equality sign it automatically becomes a negative sign and if a negative sign crosses an equality operator it automatically becomes a positive sign.

Hence, The solution is, x = 20, is the solution of Y=0.25x +50=0.30x+ 40.

To learn more on equation click:

brainly.com/question/24169758

#SPJ2

complete question:

Y=0.25x +50=0.30x+ 40 how would I get x=20?

Your dinner bill at Best Little Roadhouse was $68.24. You left the server an 18% tip. What was your final total bill including tip and How much of a tip did you leave the server

Answers

Answer:

The total would be $80.52. The tip was $12.28

Step-by-step explanation:

18% of 68.24 is 12.2832. I just rounded and called it 12.28. From there I just added it to 68.24 and got 80.52.

Help please!
find the area of the shaded region. round to the nearest hundredths if necessary.
You can answer just 1 of them and thats fine but id really appreciate if all could get answered!

Answers

Answer:

b. 84.612cm

c. 314.15cm

d. 5cm

Step-by-step explanation:

b. solve for both triangles and height of rectangle using Sin

c. pi(r)h  3.1415(10)(10)

d. 3*3-2*2=5

express y= x² + 2x + 3 in the form of y= (x-h)² + k​

Answers

Given:

The equation is

[tex]y=x^2+2x+3[/tex]

To find:

The vertex form of the given equation, i.e., [tex]y=x^2+2x+3[/tex].

Solution:

We have,

[tex]y=x^2+2x+3[/tex]

It can be written as

[tex]y=(x^2+2x)+3[/tex]

Add and subtract square of half of coefficient of x, i.e., [tex]\left(\dfrac{2}{2}\right)^2=1[/tex].

[tex]y=(x^2+2x+1)-1+3[/tex]

[tex]y=(x^2+2(x)(1)+1^2)+2[/tex]

[tex]y=(x+1)^2+2[/tex]                   [tex][\because (a+b)^2=a^2+2ab+b^2][/tex]

Therefore, the required form of given function is [tex]y=(x+1)^2+2[/tex].

Help I only have about 25 minutes left to finish this. I risk failing if I don't get this answered. I have 4 more questions after this. HELP PLZ. This is Slope Intercept form still. I will award 100 pts again

Answers

Answer:

y = 6x - 20

Step-by-step explanation:

Perpendicular slope = 6

(3, -2)

y - y1 = m(x - x1)

y + 2 = 6(x - 3)

y + 2 = 6x - 18

y = 6x - 20

Answer:

Solution given:

equation of a line is:

y=-⅛x+4.......[1]

Comparing above equation with y=mx+c

we get

slope [m]=-⅛

let slope of another line is M

since the Lines are perpendicular

so m ×M=-1

we get

M=8

again

the another line passes through(x1,y1) (3,-2)

Equation of another line becomes:

(y-y1)=m2(x-x1)

(y+2)=8(x-3)

y+2=8x-24

8x-y=24+2

8x-y=26

[tex] \frac{8x}{26} - \frac{y}{26} = 1[/tex]

[tex] \frac{4x}{13} - \frac{y}{26} = 1[/tex]

is a required equation of a line in slope intercept form.

A shaded semicircle is inside a circle as shown.

Answers

Answer:

Answer is on the picture

Step-by-step explanation:

Answer is on the picture

PLEASE HELP I'LL GIVE OUT EXTRA POINTS TO THOSE WHO ANSWER CORRECTLY
2. Is this number in scientific notation? Why or why not? If not, write in the correct format.
0.34 x 108
Please and thank you <3

Answers

no because the first number has to be greater than one

Need Help With This ASAP

Answers

X=-2-_/3 X=-2 +_/3 hope that helps

I need help with a achieve 3000 a presidents jobs​

Answers

Answer:

Answer is in the photo. I can only upload it to a file hosting service. link below!

is.gd/qKzpBU

The measure of angle A is equal to x degrees. The measure of angle B is equal to 95 degrees. Angles A and B are supplementary. Find m angle A

Answers

Answer:

95°

Step-by-step explanation:

Since both angles are supplementary, they have the same degree.

If angle B = 95°, angle A is also = 95°

How many lines of symmetry does this rectangle have

Answers

The line of symmetry is 2 bc the two top and the two bottom

Rick is currently 72 inches tall. He wants to compare himself to his friend who is 5 feet and 11 inches tall. How many inches taller is Rick than his friend?

Answers

Answer:

1 inch

Step-by-step explanation:

We would have to convert rick's friends height to inches

1 feet = 12 inches

Friend's height = (12 x 5) + 11 = 71 inches

Difference in height = 72 - 71 = 1

Factor the GCF: −12x3y5 − 9x2y2 + 12xy3 (10 points)

−3(4x3y5 + 3x2y2 − 4xy3)
−3xy2(4x2y3 + 3x − 4y)
−3xy2(4x2y3 − 3x + 4y)
3xy2(−4x2y3 − 3x + 4y)

Answers

The answer should be -3xy^2 (4x^2y^3 + 3x - 4y)

IM NOT SMART IM SORRY

Answers

Answer:

a

Step-by-step explanation:

1.

x+7=0

x=-7

2.

2x-3=0

2x=3

x=3/2

You just need to find the x for each when it equals to zero

Brillianst please!

Answer:

ye im not smart either sorry.

Step-by-step explanation:

Which box-and-whisker plot represents this data: 6,9, 13, 13, 18, 20, 24, 25, 26, 28, 30, 30?

Answers

Answer:

First option seems to b correct..

Step-by-step explanation:

Given data set  shows following ...

Sample size: 12

Median: 22

Minimum: 6

Maximum: 30

First quartile: 13

Third quartile: 27.5

Interquartile Range: 14.5

Outliers: none

Basically box and whisker represents 5 things.In case of box and whisker  

The most left point of left side represents the Stating point of data smallest value

The most right  point of right side represents the ending point of data largest value of data

left side of box respresnts the Q1 lower quartile while right side represnts

the upper  quartile Q3 ..

And there is line somewhere in box  that represents the  medianof data set..

The box and whisker plot which gives the correct representation of the dataset given is the plot A.

Given the data set : 10, 5, 8, 14, 21, 7, 13, 17, 17

To obtain box and whisker plot of the distribution, we could use technology such as excel or a box plot maker :

Using a boxplot maker, the following statistical measures, which is the five number summary of the dataset is given below :

Median: 22Minimum: 6Maximum: 30First quartile: 13Third quartile: 27.5Interquartile Range: 14.5Outliers: none

Therefore, since the statistical values of the data corresponds to the values depicted in the plot A, then it is the right choice.

Learn more : https://brainly.com/question/24582786

how many variables are in the following expression 3x+4y+z

Answers

Answer:

3

Step-by-step explanation:

Answer: 3

Step-by-step explanation:

X,Y,Z

plz help giving brainlest

Answers

Answer:   17

Step-by-step explanation:

You simply jusr divide the area with the lenght given

Answer:

u=17kilometres

Step-by-step explanation:

area of parllelogram =base×height

289km²=17×u

u=289/17=17km

Help me I’ll give you good rating and make you branliest

Answers

Answer:

answer is 8

Step-by-step explanation:

Area= LxW (length times width)

length is 4 width is 2

4x2 equals 8

PLEASEEEE HELP ASAPPPP

Answers

Answer:

A is your answer

Step-by-step explanation:

Answer:

x > -2

Step-by-step explanation:

Little tip my teacher taught me in 5th or 6th grade ,look at which way the arrow is pointing and compare it to an inequality symbol (imagine the inequality symbol as the arrow).

In this case the arrow is pointing right , so which inequality symbol looks most like it?

Obviouslyy,the less than sign!

Also! , an closed circle means "or equal to" which is the line under the inequality symbol.

And an open circle basically means just the inequality symbol.

For what value of x is 2x + 3 = 6x - 17 true?

Answers

Answer:

x = 5

Step-by-step explanation:

10 + 3 = 30 - 17

A 12.5-foot ladder is leaning against the side of a house. If the ladder is resting 12 feet off the ground, how far is the ladder from the house?

A. 2 feet

B. 3.5 feet

C. 6.25 feet

D. 7 feet

Answers

Answer:

B. 3.5 feet

Step-by-step explanation:

The part leaning against the wall is the hypotenuse while the height of the ladder off the ground is the opposite and the distance of the ladder from the house is the adjacent side.

Given the following data;

Hypotenuse = 12.5 ft

Opposite = 12 ft

To find the adjacent side, we would use the Pythagorean theorem;

Hypotenuse² = opposite² + adjacent²

Substituting into the formula, we have;

12.5² = 12² + adjacent²

156.25 = 144 + adjacent²

Adjacent² = 156.25 - 144

Adjacent² = 12.25

Taking the square root of both sides, we have;

Adjacent = 3.5 feet.

Therefore, the distance of the ladder from the house is 3.5 feet.

The functions f(x) and g(x) are shown on the graph. f(x) = |x|

what is g(x)

Answers

Answer:

D

Step-by-step explanation:

Answer:

i just took it. its actually g(x)=|x+5|

Step-by-step explanation:

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