Consider the figure shown below, find the value of
g


Consider The Figure Shown Below, Find The Value Of G

Answers

Answer 1

Given:

A figure of a triangle.

To find:

The value of g.

Solution:

Law of Cosines:

[tex]a^2=b^2+c^2-2bccosA[/tex]

Using the Law of Cosines for the given triangle, we get

[tex]g^2=8^2+7^2-2(8)(7)cos(65^\circ)[/tex]

[tex]g^2=64+49-112(0.4226)[/tex]

[tex]g^2=113-47.3312[/tex]

[tex]g^2=65.6688[/tex]

Taking square root on both sides.

[tex]g=\sqrt{65.6688}[/tex]

[tex]g=8.10363[/tex]

[tex]g\approx 8.10[/tex]

Therefore, the value of g is about 8.10 units.


Related Questions

13.2 inches is 27.5% of what number?

Answers

Answer:

48

My explanations is:

13.2:27.5*100 =

(13.2*100):27.5 =

1320:27.5 = 48

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

help me please this will help my grade !

Answers

Answer:

c. [tex]\sqrt{13}[/tex]

Step-by-step explanation:

the 13 will have an ongoing decimal

Answer:

The irrational number is C

Step-by-step explanation:

C can't be written as a rational number because it cannot be written as a fraction (n/d)

Keiko deposits $3000 into an account that pays simple interest at a rate of 2% per year. How much interest will she be paid in the first 5 years?

Answers

Answer:

Step-by-step explanation:

Simple interest is not compounded and is

I=Prt (where I=interest, P=principle, r=rate, t=time)

I=3000(.02)5

I=$300

A. The number of dollars is always more than the number of dimes.
B. The number of dimes will always be an even number.
C. The number of dollars must be even to follow the rule.
D. The number of dimes will always be less than the number of dollars.

Answers

Answer:

B. the number of dimes will always be an even number

Which postulate, if any can be used to prove the triangles congruent

Answers

Answer:

sss

Step-by-step explanation:

Remind???? anybody, or nobody???

Answers

Answer:

wdym? like the app remind?

Answer:

you have to download the remind app

4. What is the slope of the line that passes
through the points (-6, -30) and (12, 24)?

Answers

Slope: (y2-y1)/(x2-x1)
(24-(-30))/(12-(-6)) = (24+30)/(12+6)
(54)/(18) = 3
The slope is 3

Which quadratic function in vertex form can be represented by the graph that has a vertex 3.-7) and posses
through the point (1.-10)
A-y=3/4(x+3)^2+7
B-y=-3/4(x+3)^2-7
C-y=3/4(x-3)^2+7
D-y=-3/4(x-3)^2-7

Answers

Answer:D

Step-by-step explanation:

Maria tiene hielo en su refrigerador a 7c en cierto momento saco la cubeta del congelador y olvido guardarla nuevamente luego de dos horas encontro la cubeta con agua a 3c cual es la diferencia entre la temperatura final y la final

Answers

La pregunta requiere que calculemos la diferencia entre la temperatura final e inicial del agua.

Responder:

4 ° C

Explicación paso a paso:

Dado que:

Temperatura inicial del agua = 7 ° C

La temperatura del agua después de 2 horas = 3 ° C

La diferencia de temperatura del agua;

Temperatura inicial - temperatura final

7 ° c - 3 ° c = 4 ° c

La diferencia de temperatura del agua es de 4 ° C

The probability that comic book reader in a particular city prefers comics published by company A is 25%. The probability that comic book reader in the city's is male 70%

Answers

Complete question is;

The probability that a comic book reader in a particular city prefers comics published by Company A is 25%. The probability that a comic book reader in the city is male is 70%. If the probability of a comic book reader in the city being a male, given that the reader prefers Company A's comics, is 40%, what is the probability of the reader preferring Company A's comics, given that the reader is a male?

Answer:

0.14 or 14%

Step-by-step explanation:

We are told that the probability that the comic book readers prefers comics published by company A is 25%.

Thus; P(A) = 25% = 0.25

Also, we are told that the probability that comic book reader is male 70%.

Thus; P(M_r) = 70% = 0.7

We are also told that the probability of a comic book reader being a male, provided that the reader prefers Company A's comics, is 40%.

Thus; P(A|M_r) = 40% = 0.4

To find the probability of the reader preferring Company A's comics, provided that the reader is a male, we will apply baye's theorem.

Thus;

P(M_r|A) = [P(A|M_r) × P(A)]/P(M)

P(M_r|A) = (0.4 × 0.25)/0.7

P(M_r|A) ≈ 0.14

A student has two part-time jobs. He earns $8.50 per hour for babysitting and $11.50 for each lawn he mows. If the student babysits for 512 hours and mows 7 lawns, how much money will he earn?

Answers

Answer:

$4,352 + $126.50= $4,478.50

Step-by-step explanation:

8.50 x 512 = 4,352

11.50 x 7 = 126.50

All together it equals

4,478.50

Hope this Helps! :)

Converting 165 pounds to the metric system results in a weight of

Answers

Answer:

74.8 kilo

Step-by-step explanation:

1. How long does it take running at a rate of 12m/s over a distance of 360m?

Answers

Step-by-step explanation:

T=D/S

D=360m

S=12m/s

360m÷12m/s

Time=30s

Cody starts the month of April with 5 action figures. Each month, he collects an additional 3 action figures.

Write an equation (in slope-intercept form) that matches Cody's situation.

Group of answer choices

y = 3x + 5

y = 5x + 3

y = 3x - 5

y = 5x - 3

Answers

Answer:

y= 3x + 5

Step-by-step explanation:

The +5 represents the starting 5 action figures, and the 3x represents the 3 action figures he collects each month.

2 sin^2 (x) + 3 sin (x) + 1 = 0
help me find the solution

Answers

Answer:

Step-by-step explanation:

\[2~ sin^2 x+3sin x+1=0\]

\[2sin^2x+2sin x+sin x+1=0\]

2sinx(sin x+1)+1(sin x+1)=0

(sin x+1)(2 sin x+1)=0

either sin x+1=0

sin x=-1=sin 3π/2=sin (2nπ+3π/2)

x=2nπ+3π/2,where n is an integer.

or 2sin x+1=0

sin x=-1/2=-sin π/6=sin (π+π/6),sin (2π-π/6)=sin (2nπ+7π/6),sin (2nπ+11π/6)

x=2nπ+7π/6,2nπ+11π/6,

where n is an integer.

A submarine is descending at a rate of 7 feet per second.
The two variables are:
f = the number of feet the sub descends
s = the number of seconds
The independent variable, , causes a change in
the dependent variable,

Answers

Answer:

The number of seconds, the number of feet the sub descends.

Step-by-step explanation:

Answer:

I just did it and I got it right so there is a pic for proof a pic that ma answer is right



Step-by-step explanation:

hi did i even send this

Answers

Answer:

A

Step-by-step explanation:

If we plug in the values for A and B we get 9(1/3^2)+3(5)-10. Then using simple math and order of operations, we get 6.

What is the perimeter of the track, in meters?
Use π = 3.14 and round to the nearest hundredth of a meter.

Answers

Answer:

I believe the answer is 426.08 meters.

Step-by-step explanation:

To find the perimeter, break the shape into a rectangle and two semicircles. As two semicircles make one circle, you can do 72×3.14 to get 226.08. Then, add the length of the rectangle. 100+100=200. Finally, do 226.08+200 to get your answer.

I hope this helped!

please help me i need it

Answers

Answer:

n umber 3 is b and 4 is d

Step-by-step explanation:

Can someone help me with math and thanks .!

Answers

Answer:

Step-by-step explanation:

1. A: 147 Degrees B: 33 Degrees

2. A: 121 Degrees B: 59 degrees

It would be the same as the other side.

enter the value for x that makes the equation, 4(x - 4) = 12x + 16 true.

Answers

Answer:

False your answer will 4x-16

Step-by-step explanation:

you have to distribute 4 to x and 4 to 4. so you will do 4*x=4x and 4*4=16. Now you still have the subtraction sign so your answer will be 4x-16.


What are all the values of r where the function.....
Please help ASAP!!!

Answers

I just need some points so I can ask a question but I hope you find your answer!

solve the system by substitution y+X=3 2y+x=-5

Answers

Answer:

Step-by-step explanation:

We have the system:

y+x=3

2y+x=-5

the question asks us to solve by substitution..

Let's subtract y from both sides of the first equation

y+x=3

-y    -y

x=3-y

now, let's substitute 3-y as x into the second equation

2y+3-y=-5

combine like terms

y+3=-5

subtract 3 from both sides

y=-8

so the value of y is -8

now let's use that information to solve for x; we know that x is 3-y, so let's substitute the value of y to find x

x=3-y

x=3--8

x=11

the value of x is 11

as a point, your answer is (11,-8)

Hope this helps! :D

Please help me its very urgent!​

Answers

Answer:

there are no solutions

Step-by-step explanation:

Last week, the daily low temperatures for a city, in degrees Celsius, were 5, 8, 6, 5, 10, 7, and 1. What was the average low temperature?

degrees Celsius

Answers

The average low temperature would be 5+8+6+5+10+7+1 all divided by 7, so the answer is 6° celsius.

Please help!
(2/5x +5) - (1/5x - 3)

Answers

Answer:

2x over 5 + 8 + -x over 5

Step-by-step explanation:

I dont know if this is what youre looking for but hope it helps!

Answer:

1/5x + 8

Step-by-step explanation:

Let's simplify step-by-step.

2/5x + 5 − (1/5x − 3)

Distribute the Negative Sign:

= 2/5x + 5 + −1( 1/5x −3)

= 2/5x + 5 + −1 (1/5x) + (−1) (−3)

= 2/5x + 5 + −1/5x + 3

Combine Like Terms:

= 2/5x + 5 + −1/5x + 3 = (2/5x + −1/5x) + (5 + 3)

= 1/5x + 8

Answer:

= 1/5x + 8

hope this helps. p.s. i really need brainliest :)


Solve for X. Round to the nearest tenth.
29
18

Answers

Answer:

x = 30.5

Step-by-step explanation:

cos(18º) = 29/x

Multiply both sides by x and divide both sides by cos(18º) to get

x = 29/cos(18º)

x = 30.5  

help help help help help help help help

Answers

I believe the answer is (3,4)

(HELP ME ASAP PLEASE) Line r is the image of the linear equation below after a dilation of scale factor 2 centered at (- 1, - 2) . What is the equation of the line r? (Note: you will need graph paper to complete this problem!) 6x - y = - 6

Answers

Answer:

th equation of the line can be considered a linear function equation

Step-by-step explanation:

hope it helps

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