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


The length of a living room is 12 feet and its width is 10 feet. The length of the room is being expanded by x foet. Select all the expressions that

represent the area of the living room in square feet.

Answers

Answer:

You simply just do 12 multiplied by 10 which will give you 120m^2

the perimeter of a square piece of confetti is 28 mm. how long is each side of the piece of confetti?​

Answers

Answer:

14 mm

Step-by-step explanation:

perimeter of a square is a + b

and all sides are equal to each other since its a square

therefore it is 14 mm each

Ian paints /8 of a fence. Anna paints 3/4 of another fence. Draw a number line to show that Ian and Anna have painted the same amount of each fence.

Answers

Answer:

See attachment for number line

Step-by-step explanation:

Given

[tex]Ian = \frac{6}{8}[/tex]

[tex]Anna = \frac{3}{4}[/tex]

Required

Number line to represent both amounts

The interval on the number line is 16.

So, we need to calculate the position of both as thus.

[tex]Ian = \frac{6}{8} * 16 = \frac{96}{8} = 12[/tex]

[tex]Anna = \frac{3}{4} * 16 = \frac{48}{4} = 12[/tex]

So, both will be positioned on the 12th position.

The yellow dot represents Anna while the blue dot represents Ian

See attachment for their position on the number line

Determine the y intercept (8grade

Answers

Answer:

its 4

Step-by-step explanation:

Y intercept is 4.
The whole slope equation is y=3/4x+4

Since 6 is not a prefect square the square root of 6 is rational?

Answers

Answer: The square root of 6 is IRRATIONAL.

Answer:

True is 11/13 and -20 are rational

Step-by-step explanation:

Write the equation
equation in standard form
X^2-1/X+1=2​

Answers

Answer:

We start with the equation:

(x^2 - 1)/(x + 1) = 2

We want to rewrite this in standard form.

We can multiply both sides by (x + 1) to get:

((x^2 - 1)/(x + 1))*(x + 1) = 2*(x + 1)

x^2 - 1 = 2*(x + 1) = 2*x + 2

Now we can move all the terms to one side to get:

x^2 - 1 - 2 - 2*x = 0

x^2 - 2*x - 3 = 0

And this is a standard quadratic equation, that we can solve by using the Bhaskara's formula, this will give us the solutions:

[tex]x = \frac{-(-2) \pm \sqrt{(-2)^2 - 4*1*(-3)} }{2*1} = \frac{2 \pm 4}{2}[/tex]

Then the two solutions are:

x = (2 + 4)/2 = 3

x = (2 - 4)/2 = -1

Chris is using the expression
m/8n
What is the value of the expression when m=4 and n=1/2

Answers

Answer:

1

Step-by-step explanation:

We plug in 4 for m and 1/2 for n.

[tex]\frac{4}{8(\frac{1}{2}) }[/tex] = [tex]\frac{4}{4}[/tex] = 1

Hope this helped!

A wheel is made of a circular rim and 8 spokes as shown.

The length of each spoke is 37cm

WORK OUT THE TOTAL LENGTH OF THE RIM AND SPOKES.

Answers

Answer:

528.6

Step-by-step explanation:

find the circumference of the circle using:

πd: 22/7*74

add the length of the 4 strokes: 37*8

add the two:

Answer:

528.48cm

Step-by-step explanation:

Total length of all the spokes

37cm*8 = 296cm

Length of the circular rim

2πr = Circumference

2(37)π = 74π

74π = 232.48cm

Overall Length

232.48cm + 296cm = 528.48cm

Someone pls help tysm if you do!! Im new to this :D

Answers

Answer:

the answer is -29

Step-by-step explanation:

Hope this helps have a good rest of your day :)

Answer:

I think its -15

Step-by-step explanation:

you take -7 and add it to -22 but since it's a negative + a negative it should equal a positive so you just normally subtract -7 from -22 and get -15

Drag the vertices of the triangle below to draw a right triangle with side lengths 10, 24, and 26.
16
15

Answers

Answer:

15 ? :)

Step-by-step explanation:

plsss help i’ll give brainliest if you give a correct answer

Answers

Answer:

y=15

Step-by-step explanation:

Answer:

y=15

Step-by-step explanation:

To find y:

8y=120 –––Divide both sides by 8 so you can get y alone

y=15

Evaluate (61/2.3-2/3)6

Answers

Answer:155.130435

Step-by-step explanation:

Simplify the following expression 5(5c+1)
Step by step explanation

Answers

Answer:

25c+5

Step-by-step explanation:

Multiply 5 with every term inside the bracket, so 25c+5

Can you guys help? Thx

Answers

Answer:

a

Step-by-step explanation:

Answer:

8 cm

Step-by-step explanation:

[(x+5)*2.5]/2 =  16.25

(x+5)*2.5 = 32,5

2.5x + 12,5 = 32,5

2.5x = 20

x = 8

please help me and solve these, i will give brainliest and worth 25 points!!

Answers

Answer:

1. 168 cm^{2}

2. 156 in^{2}

3. 30 cm^{2}

4. 360 ft^{2}

Step-by-step explanation:

All ratio questions. We can set up proportions then cross multiply

1. \frac{8}{12} \frac{112}{x}

8x = (112 x 12)

8x = 1344

x = 168m

2.\frac{4}{8} \frac{78}{x}

4x = (78 x 8)

4x = 624

x = 156in

3. \frac{5}{2} \frac{75}{x}

5x = (75 x 2)

x = 30cm

4. \frac{8}{10} \frac{288}{x}

8x = ( 288 x 10 )

8x = 2880

x =360ft

answer:
4. 168 cm
5. 156 in
6. 30 cm
7. 360 ft

Tia, Veronica, Pam, and Lily are sisters. Tia is 8 years old and she is 2 years older than Pam. Pam is 5 years younger than Veronica and Veronica is 4 years younger then Lily. Which list has the sisters in order from youngest to oldest?

Answers

Answer:

Pam 6

Tia 8

Veronica 11

Lily 15

Step-by-step explanation:

Tia's age = 8

Pam's age = Tia's age - 2

8 - 2 = 6

Veronica = pam's age + 5

6 + 5 = 11

Lily's age = veronica's age + 4

11 + 4 = 15

la solución de una ecuación cuadrática representa los interceptos en x, cierto o falso?

Answers

Answer:

La respuesta es falso

Step-by-step explanation:

Espero que esto ayude a marcar el MÁS CEREBRAL !!!

(HELP ASAP)Select the graph which best represents this scenario:
The amount of pancake batter that you must mix increases
with the number of people who come to breakfast. It takes
3 cups of batter to serve 10 people.
(More context in the picture)

Answers

Answer:

Line A

Step-by-step explanation:

Line A is the line of best fit because it intersects the point (10,3) on the graph while the others do not.

The radius of a circle is 12 millimeters. What is the circle's circumference? r=12 mm Use 3.14 for ​.

Answers

Answer:

Circumference =

Step-by-step explanation:

The equation for finding the circumference of a circle is: C=2πr

All we need to do is plug in for r of the equation (which is the radius) and solve.

C = 2(3.14)·12

C = 6.28 · 12

C = 75.36 mill.

That is the circumference.

Please let me know if you need any more help. I'm always happy to help!

Find the average of the following numbers:
2,4,6 and 8.

Pls help asap

Answers

Answer:

5

Step-by-step explanation:

( 2 + 4 + 6 + 8) / 4  = 5

Step-by-step explanation:

2+4+6+8=20

numbers of digits=4

average=sum of observation/numbers of observation

average=20/4=5

MARK ME AS A BRAINLIST, sister

CAN SOMEONE PLEASE ANSWER 11,13,14,15 ?
MARKING BRAINLIST AND GIVING 50 PONITS . DONT ANSWER IF U DONT KNOW PLEASE .

Answers

Answer:

I gotchuThese are all fractions btw.

11.   -9/32

12. -3/5

13. 4/7

14. 3/8

15. 3/4

Step-by-step explanation: When you do these problems, it's fairly simple. just make sure you plug the numbers in the correct spots. having a calculator help a lot too!

Answer:

11.   -9/32

12. -3/5

13. 4/7

14. 3/8

15. 3/4

those are you answers... you can mark the other guy brainliest i have enough

Step-by-step explanation:

PLZ HELP WILL MARK BRANLIEST (No dum answers or I will delete your question - seriously don't be annoying)
Use the​ (x,y) coordinates in the figure to find the value of tan (2(pi)/3) or state that the expression is undefined.
Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice.

Answers

Answer:

A. tan(2π/3) = [tex]-\sqrt{3}[/tex]

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

simplify. draw a box. multiply the binomials together and simplify.

Answers

Answer:

D(last answer choice)

Step-by-step explanation:

(5x-6)(3x+4)

Foil it out to get:

[tex]15x^2+20x-18x-24[/tex]

This simplifies to:

[tex]15x^2+2x-24[/tex]

What is the effect on the graph of f(x)=|3x−4| when it is replaced by f(x)+3 ?

A
translation left 1 unit
B
translation up 3 units

C
translation down 1 unit
D
translation right 3 units

Answers

Answer:

b

Step-by-step explanation:

A collection of all points in the plane of the form [tex](x, f(x))[/tex] is the graph of a function f. The graph of f is defined as the graph of the equation [tex]y = f(x)[/tex].

Graph function calculation:

Graph

[tex]\to[/tex] f(x)=|3x−4|

[tex]\to[/tex] f(x)+3 =?

putting the [tex]f(x)[/tex] value into the [tex]f(x)+3[/tex] and calculate the given value:

[tex]\to[/tex] |3x-4|+3

[tex]\to[/tex] 3x-4+3

[tex]\to[/tex] 3x-1

Therefore, the final answer is "Option B".

Find out more about the graph function here:

brainly.com/question/15165011

simplify : 3p+2p+8-3=15​

Answers

Answer:

3p+2p+8-3=15

5p+5-15=0

5p-10=0

5(p-2)=0

(if you want to solve it p=2)

write the following number in standard form
3.45 x 10^-4

Answers

35000 is the answer of im not wrong

Simplify the ratio : 72:16:32
What is ans

Answers

Answer:

9 : 2 : 4

Step-by-step explanation:

Given

72 : 16 : 32 ( divide each part of the ratio by 8, the LCM of 72, 16, 32 )

= 9 : 2 : 4

find the area of the shape (round to nearest tenth if necessary )

Answers

Answer:

still

Step-by-step explanation:

still thinking sorry

solve for X. please help, thanks

Answers

Answer:

it would be 20 ( I am pretty sure this is correct )

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