In ΔJKL, k = 430 cm, l = 590 cm and ∠J=117°. Find the length of j, to the nearest centimeter.

Answers

Answer 1

Answer:

874

Step-by-step explanation:

Answer 2

The length of j from the given triangle JKL is 550 cm.

What is cosine rule?

The law of cosine states that the square of any one side of a triangle is equal to the difference between the sum of squares of the other two sides and double the product of other sides and cosine angle included between them. The law of cosine states that: a² = b² + c² − 2bc·cosA.

Given that, in ΔJKL, k = 430 cm, l = 590 cm and ∠J=117°.

Using cosine rule

j²=k²+l²-2kl.cosJ

j²=430²+590²-2×430×590·cos117°

j²=184900+348100-507400×0.4539

j²=533000-230308.86

j²=302691.14

j=√302691.14

j=550 cm

Therefore, the length of j from the given triangle JKL is 550 cm.

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In JKL, K = 430 Cm, L = 590 Cm And J=117. Find The Length Of J, To The Nearest Centimeter.

Related Questions

what is the equation of the line with a slope of -3/4 that passes through the point (4,-2)?

Answers

Answer:

y=-3/4x+1

Step-by-step explanation:

y-y1=m(x-x1)

y-(-2)=-3/4(x-4)

y+2=-3/4(x-4)

y=-3/4x+12/4-2

y=-3/4x+3-2

y=-3/4x+1

En la tienda de mascotas "Animalo-T", se desea elevar un elefante de 2,900 kg utilizando una elevadora hidráulica de plato grande circular de 75 cm de radio y plato pequeño circular de 13 cm de radio. ¿Calcula cuánta fuerza hay que hacer en el émbolo pequeño para elevar al paquidermo?

Answers

Answer:

Se requiere una fuerza de 854.473 newtons sobre el émbolo pequeño.

Step-by-step explanation:

Por el Principio de Pascal se conoce que el esfuerzo experimentado por el elefante es igual a la presión ejercida por el plato pequeño. Es decir:

[tex]\frac{F_{1}}{A_{1}} = \frac{F_{2}}{A_{2}}[/tex] (1)

Donde:

[tex]F_{1}[/tex] - Fuerza experimentada por el elefante, medida en newtons.

[tex]F_{2}[/tex] - Fuerza aplicada sobre el plato pequeño, medida en newtons.

[tex]A_{1}[/tex] - Área del plato grande, medida en metros cuadrados.

[tex]A_{2}[/tex] - Área del plato pequeño, medida en metros cuadrados.

La fuerza aplicada sobre el plato pequeño es:

[tex]F_{2} = \left(\frac{A_{2}}{A_{1}} \right)\cdot F_{1}[/tex]

La fuerza experimentada por el elefante es su propio peso. Por otra parte, el área del plato es directamente proporcional al cuadrado de su diámetro. Es decir:

[tex]F_{2} = \left(\frac{D_{2}}{D_{1}} \right)^{2}\cdot m\cdot g[/tex] (2)

Donde:

[tex]D_{1}[/tex] - Diámetro del plato grande, medido en centímetros.

[tex]D_{2}[/tex] - Diámetro del plato pequeño, medido en centímetros.

[tex]m[/tex] - Masa del elefante, medida en kilogramos.

[tex]g[/tex] - Aceleración gravitacional, medida en metros por segundo cuadrado.

Si sabemos que [tex]D_{1} = 0.75\,m[/tex], [tex]D_{2} = 0.13\,m[/tex], [tex]m = 2900\,kg[/tex] y [tex]g = 9.807\,\frac{m}{s^{2}}[/tex], entonces la fuerza a aplicar al émbolo pequeño es:

[tex]F_{2} = \left(\frac{0.13\,m}{0.75\,m} \right)^{2}\cdot (2900\,kg)\cdot \left(9.807\,\frac{m}{s^{2}} \right)[/tex]

[tex]F_{2} = 854.473\,N[/tex]

Se requiere una fuerza de 854.473 newtons sobre el émbolo pequeño.

How long will it take a rocket traveling at 8 km/s to reach 20 km? (please include the equation)

Answers

Answer:

Step-by-step explanation:

Use the second kinematic formula

[tex]x_f-x_i=V_it+\frac{1}{2}at^2\\20=8t+\frac{1}{2}(9.8)t^2\\4.9t^2+8t-20=0[/tex]

Apply the quadratic formula to solve for time. The negative value does not matter because time cannot be negative, its impossible.

I got a value of t = 1.363 seconds

distribute 2(9x + 2)

Answers

Answer:

18x+4

Step-by-step explanation:

Multiply 2 and 9x

Multiply 2 and 2

2 times 9x is 18x

2 times 2 is 4

In an equation, the answer is:

18x+4

Answer:

18x+ 4

Step-by-step explanation:

Just multiply the outside 2 to 9x and 4. I hope this helps :)

The population of a town is increasing by 2% each year. If the population today is 40,000, what
will be its population in 8 years?
0 40,000. (0.02)
O 40,000 - (1.02)
0 40,000 - (1.02)
O 40,000. (1.02). (8)

Answers

Answer:

46,400

Step-by-step explanation:

present population =40,000

2% of 40,000 =800

for each year it increases by 800

in 8 years time =(8*800) +40,000

=46,400

Which is equivalent to 216 Superscript one-third?

3
6
36
72

Answers

Answer:

I think is 6

hope this answer be right

Answer:

6

Step-by-step explanation:

what is 4.059 divided by 10,000

Answers

Answer: 0.0004059

Step-by-step explanation:

NEED HELP!!
the graph shows the volume of oil in a tank at time t seconds

Answers

Answer:

Part a: 2.5

Part b: The rate the oil fills the tank

Part c: The amount of liquid in the tank to begin with.

Hope this helps. :)

As per the graph that shows the volume of oil in tank T sec.

The gradient of the graph is 2.5The gradient shows rate of oil in the tankThe value represents the amount of liquid in the tank.What eos the do graph tell?

The given graph describes the volume of the oil in L and shows the value in t seconds. The gradient of the graph is about 2.5 and it shows us the amount of liquid in the tank. The value of the graph that intersects at the L 2 is the amount of liquid found in the tank.

Find out more information about the graph.

brainly.com/question/14323743

Please help ASAP!

There are 10 girls and 16 boys in a class. The teacher has sticks with each students name on the bag. What is the probability of selecting sticks with a boy’s name and then a girl’s name if the first stick is not replaced?

Answers

The probability of pulling a boys name first is 8/13. Then the probably of pulling a girls second is 2/5.

Find the value of x.

Answers

Answer:

Step-by-step explanation:

2/3=x+3/2x+2

4x+4=3x+9

x=5

The value of x I’m pretty sure is 5

Write the slope-intercept form of an equation for the line that passes through the given point. ( − 6 , 5 ) and 2x−2y=10

Answers

Answer:

..

Step-by-step explanation:

If 12 oranges cost $4.80, what would be the cost for 5 oranges

Answers

Answer: 24

Step-by-step explanation:

Because if you do 4.80 times 5 you’ll get 24 because each orange cost $4.80

Answer:

the cost of 5 oranges would be $2.00

Step-by-step explanation:

To solve this we need to find the unit rate and when we do this we can solve this problem.  To find that we need to divide 4.80 by 12 once we do that we just have to multiply that number by 5 to get our answer, when you divide you'll get 0.4 and then multiply that by 5 and you'll get $2.00.

3x+3y=9 solve for y
Can the answer be written as y=-x+3 my teacher told me I can write it like that can I though ? Or is the answer y=-x 3 ?

Answers

The answer is written as y=-x+3 just like your teacher said!
The answer is NOT y=-x 3

(06.06) 4 3(x + 4) represents the area of the rectangle above. Which expression below is equivalent by the Distributive Property? (4 points) 3x + 12 (3 + x) + 4 O (x +4) 3 O 3x + 4​

Answers

Answer:

im on the same one if i get it right i will comment and tell u k?

Step-by-step explanation:

kk

Answer:

A

Step-by-step explanation:

Marie is saving $75 each week so she can buy a new laptop which costs $1200. She has already saved $125. Find the minimum number of weeks she will have to save in order to be able to make this purchase.

Answers

Answer:

18 weeks

Step-by-step explanation:

Answer:

the minimum number of weeks she will have to save in order to be able to make this purchase is 15

Step-by-step explanation:

1200 divided by 75=16

and 75 go into 125 one time so u take and

16-1 =15

there for 15 is ur answer

help?? please i need it

Answers

Answer:

I think the answer is no because none of these are divisible by any of the numbers

Is this right? ( Algebra 1 )

Answers

Step-by-step explanation:

x

2

12

x

+

27

=

(

x

3

)

(

x

9

)

Explanation:

x

2

12

x

+

27

Find two numbers that when added equal

13

and when multiplied equal

27

. The numbers

3

and

9

meet the criteria. The two factors are

(

x

3

)

(

x

9

)

.

find factors of 27 that add to 12

What is the perimeter of the figure shown below?

Answers

Answer:

D. 6x-14

Step-by-step explanation:

So first we would do 3x^2+3x^2-5x^2

That would all cancel out so that would be 0.

Next we would do 3x-4x+7x, this would equal to 6x

Finally we would do -4-8-2, this would be equal to -14

Then the equation would be 6x-14

All you have to do is combine like terms.

Hope this helped!

2 1/2t = 11
what is t​

Answers

2.5t = 11
Then you divide both sides by 2.5
t =11/2.5
t = 4.4

The following is a conversion table for millimeters and centimeters. Which
numbers belong in the millimeters column?
mm
cm
1
3
5
А.
1, 3, 5
В.
11, 13, 15
С.
10, 30, 50
D
100, 300, 500
Hi

Answers

D because it have a mm and a mf it’s d

x + 5 = 29
solve for x :
solve for y:

Answers

Answer:

valor de x: 24

valor de y:5

Answer:

x is 24 but wdym solve for y?

Step-by-step explanation:

Christopher compró un nuevo reloj en la tienda cuando tenían una rebaja de 20%. Si el precio normal del reloj era $48, ¿cuánto pagó Christopher con el descuento?​

Answers

Answer:

38.40

Step by Step

48•0.8

It takes 1/3 of an hour to take down 1/9 of the camp at the YMCA campground. How long does it take the camp staff to take down the entire camp?
Group of answer choices

1/27 of an hour

27 hours

9 hours

3 hours

Answers

Answer:

Step-by-step explanation:

1/9 of the camp means it has 9 parts the whole thing (each 1/9)

1/3 of an hour for 1 part and

for 9 parts we have

1/3 *9 = 9/3= 3 hours

-(5 – 9) - (-2)(2)
how do i solve this?

Answers

Answer:

8

Step-by-step explanation:

-(5 – 9) - (-2)(2)

-(-4) - (-2)(2)

4 - (-4)

4 + 4

8

Use PEMDAS

Answer: The answer is 8

Step-by-step explanation:

Given mſn, find the value of x.
t
(x+27)
(2x-7)

Answers

Answer:

x = 34

Step-by-step explanation:

(x+27) = (2x-7)

subtract x from both side then add 7 to both side

which will give you x = 34

c is directly proportional to d such that
C = 1.5d
(a) Find c when d = 12
(b) Find d when c = 15​

Answers

Answer:

we have

C = 1.5d

or

d=C/1.5

Step-by-step explanation:

when d is 12

C=1.5×12=18

when c=15

d=15/1.5=10

ill give top if u answer correct

Which other expression has the same value as (-14)-(-8)

Answer choices:
(-14)+8
14-(-8)
14+(-8)
(-14)+(-8)

Answers

Answer:

the last one (-14)+(-8)

Step-by-step explanation:

-14 - -8 any time you have minus a negative it's a + sign

so

-14+8 therefore it's the first one.

Can somebody help me please? thank you.

Answers

13/16 it goes up by 16th
hope this helps :)

factoring is the opposite of what operation

Answers

Answer:

Factoring is the opposite of multiplying (or using the distributive property to multiply.)

Step-by-step explanation:

I have a pile of socks which contains 12 white socks, 12 black socks, and 12 red socks. How many socks must I take from the pile to be certain that I have at least one matching pair?

Answers

Answer:

I would say 6 but i do not know

Step-by-step explanation:

bc 6x2=12

The least number of socks to be taken from the pile to have one pair of socks is given by the equation A = 4

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number of socks to be taken be represented as A

Now , the equation will be

The number of white socks = 12

The number of black socks = 12

The number of red socks = 12

So , let the first sock be taken be either a white , black or red

Now , the second sock can also be either a white , black or red

And , the third sock can also be either a white , black or red

But , the fourth sock must a white or black or red and it will form a pair of similar colored sock

Therefore , the number of times is 4

Hence , the number is 4

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