In ΔJKL, k = 9.6 cm, l = 2.7 cm and ∠J=43°. Find ∠L, to the nearest 10th of a degree.

Answers

Answer 1

Answer:

L = 10.64°

Step-by-step explanation:

From the given information:

In triangle JKL;

line k = 9.6 cm

line l = 2.7 cm; &

angle J = 43°

we are to find angle L = ???

We can use the sine rule to determine angle L:

i.e

[tex]\dfrac{j}{SIn \ J} = \dfrac{l}{ SIn \ L}[/tex]

Using Pythagoras rule to find j

i,e

j² = k² + l²

j² = 9.6²+ 2.7²

j² = 92.16 + 7.29

j² = 99.45

[tex]j = \sqrt{99.45}[/tex]

j = 9.97

[tex]\dfrac{9.97}{Sin \ 43} = \dfrac{2.7}{ Sin \ L}[/tex]

[tex]{9.97 \times Sin (L ) = (2.7 \times Sin \ 43)[/tex]

[tex]= Sin \ L = \dfrac{ (2.7 \times Sin \ 43)}{9.97 } \\ \\ = Sin \ L = \dfrac{ (2.7 \times 0.6819)}{9.97 } \\ \\ = Sin \ L = 0.18466 \\ \\ L = Sin^{-1} (0.18466) \\ \\ L = 10.64 ^0[/tex]


Related Questions

GIVING BRAINIEST!!!!!!!!

Answers

Answer:

look at the horizontal line in the picture. the degree measure of any line is 180° given there's a perpendicular ray through that horizontal line it's therfore split into two sides both with angle measure of 90°.

given f is 71° then g can be found knowing that both g and f must add to 90°. 71+g=90. g=19°

now look at f again. f and d are what's known as vertical angles and that means that they're angle measures are congruent. therfore the measure of d is 71° d=71°

Finally to find e we notice that angle d and e form a straight line which means both angles measures must add to 180°. therefore e can be found by computing d+e=180

aunaitituitmg our information we know 71+e=180 then e must equal 109° e=109°

What statement best supports the box plots

Answers

G i think :(... not sure tho

Answer: kko

Step-by-step explanation iook

What expression is (x -6)2 equivalent to?

Answers

Answer:

2x−12

Step-by-step explanation:

Answer:

2x−12

Step-by-step explanation:

Problem to solve:  

(x−6)2

Solve the product 2(x−6)

2x+2⋅−6

Multiply 22 times -6−6

2x-12

Final Answer

2x-12

2x−12

What is the area of this quadrilateral?
2 ft
4 ft
6 ft
6 ft
4 ft
2 ft
A. 28 square feet
0
B. 48 square feet
a o
C. 18 square feet
D. 36 square feet

Answers

Answer:

the answer would be a

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

just got it correct

Which angle is an obtuse angle?
A. An angle measuring 125°
B. An angle measuring 85°
C. An angle measuring 265°
D. An angle measuring 325°

Answers

Answer:

A. An angle measuring 125°

Step-by-step explanation:

An obtuse angle is a type of angle that is always larger than 90° but less than 180°. In other words, it lies between 90° and 180°

A.) 125
An obtuse angle is larger than 90° but shorter than 180°

Based on Milton Friedman's observations, it is likely that he would agree that socialism provides the best government for which a free market can exist.


Please select the best answer from the choices provided

T
F

Answers

Answer:

False

Step-by-step explanation:

I did the E2020 assignment

how many times bigger is 9x10^7 than 3x10^-2

Answers

Answer:

3×10^9

Step-by-step explanation:

0.03x=90,000,000

x=90000000/0.03

x=3×10^9

plz mark as brainliest

A. Use this diagram of a right triangle to derive and prove the Pythagorean Identity based on sin 0 and cos 0. Start with
what you know about the relationship among a (adjacent side), o (opposite side), and h (hypotenuse). Using the diagram
and the labeled components, define sine and cosine. Incorporate these definitions in your equation. In your response,
include all steps and calculations.
h

B. With respect to 0, the adjacent side of the triangle has a length of 12 cm and the opposite side has a length of 10 cm.
Find the values of the hypotenuse, h, 0, and e. Then, use these values to confirm the Pythagorean Identity for this
triangle.

Answers

Answer:

Hopefully this link helps because i can't type all your information out

https://socratic.org/answers/461013

Step-by-step explanation:

MARK ME BRAINLIEST PLZZZZZZZZZZZZZZZZZZzzzzzzzzzzzzzzzzzzzz

which expression is equivalent to -1/4 (20z + 24)

Answers

Answer:

19,2049.12

Step-by-step explanation:

By

What is 100 percent of 39

Answers

Answer:

39

Step-by-step explanation:

Between which two consecutive whole numbers does 94 sqrt lie? Fill out the sentence below to justify your answer and use your mouse to drag 94 sqrt to an approximately correct location on the number line.​

Answers

Answer:

9 and 10

Step-by-step explanation:

94 is in between the squares of 9(81) and 10(100) meaning it is in between the two consecutive numbers:

√81 < √94 < √100

9 < √94 < 10

Find the value of (6^0 − 7^0) × (6^0 + 7^0)

Answers

Answer:

-13

Step-by-step explanation:

6-7 x 6+7

-1 x 13

-13

The answer is 0
Anything to the power of zero equals one
(1-1)(1+1)
(0)(2)=0

What was the concentration of the drug 4 hour(s) after injection?​

Answers

Answer:

it's 47÷4=11 3/4 will be your final answer


Which side of the mountain would protect you from the wind best?

Answers

Answer:

well on the ocean you will feel the wind so no

Step-by-step explanation:

I thinks it’s the desert side

5 and 1/4 - 4 and 1/2​

Answers

This answer is 0.75 , hope this helps ❤️.

Step-by-step explanation:

answer: 3/4 or 0.75

=5 1/4 - 4 1/2

=21/4 - 9/2

= (21-9) / 4

=3/4  or 0.75

Please help me thank u

Answers

Answer:

done

Step-by-step explanation:

Answer:

5/10k - 3/5

Step-by-step explanation:

by fraction we know about LCM

2/5k + 1/10k - 3/5

5/10k-3/5

In x= 2.1
A. x = 5.71
O B. X= 8.17
C. X= 7,51
O D. X = 0.74

Answers

Answer:

5.71

Step-by-step explanation:

Can anyone please help!!!!
QUESTION ATTACHED TO PICTURE

Answers

Answer:

[tex]D) y=-\frac{2}{3}x+ 2[/tex]

Step-by-step explanation:

[tex]Equation ~ of ~ the ~ line~ is ~ y=mx+b\\\\m= slope\\\\b=y-intercept[/tex]

[tex]to ~find ~ the ~ slope~ use ~ formula:-\\\\ slope=\frac{y_{2}-yx_{1} }{x_{2} -x_{1} } \\(0,2)(3,0)[/tex]

[tex]slope=\frac{0-2}{3-0}[/tex]

[tex]y-intercept ~ is (0,2) ~ so, b=2[/tex]

[tex]The ~ equation ~ of ~ the ~ line~ is:- \\[/tex]

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

------------------------

hope it helps...

have a great day!!

The sample space of picking a 2
character password using the letters Y, P, GR,
B, O, where double letters are not allowed is
shown. Your teacher asks the class to find the
probability of choosing a password with
one Y and one P. Carlos incorrectly says that
the probability is 15. Find the correct probability
then decide which error Carlos might have
made

Answers

Answer:

[tex]Pr = \frac{1}{15}[/tex]

Step-by-step explanation:

Given

See attachment for sample space

Required

[tex]P(1\ Y\ and\ 1\ P)[/tex]

From the attached sample space, we have:

[tex]n(S) =30[/tex] ---- total outcomes

[tex]n(PY) = 2[/tex] --- outcomes with 1 Y and 1 P = 2 i.e. (P,Y) and (Y,P)

So, the required probability is:

[tex]Pr = \frac{n(PY)}{n(S)}[/tex]

[tex]Pr = \frac{2}{30}[/tex]

[tex]Pr = \frac{1}{15}[/tex]

The error is that; Carlos omitted the numerator

George bought 8 shirts for 48$. How many shirts he can buy for 60$ ?

Answers

Answer: 10 shirts

Step-by-step explanation: 8 shirts is $48, then 1 shirt is $6. $60 can buy 10 shirts.

Answer: 10

Step-by-step explanation:

48÷8 = 6

60÷6=10

Hope that helped! :)

PLzzzzzz help...........

Answers

Answer:

37.7

Step-by-step explanation:

pi X Diameter is circumfrance!

hope this helps!! :D

Answer:

B

Step-by-step explanation:

3.14x12= 37.68

round to nearest tenth and get 37.7

(thats what i think)

Help with this, please!!!

Answers

Answer:

Its a Parallelogram

It has all four descriptions.

Helpppppppp me plzzzzzzz

Answers

Answer:

90 seconds

Step-by-step explanation:

To find the time it takes to take a certain amount of steps, divide the given rate by the time.

3/2 = 1.5

This means she takes 1.5 steps every second. Now, we can multiply this rate by 60 to find how far she will go in that time.

1.5 · 60 = 90

Bethany takes 90 steps in 60 seconds.

I hope this helps ^^ Good luck

Which procedure justifies whether Negative 3 x (5 minus 4) + 3 (x minus 6) is equivalent to Negative 12 x minus 6?

Answers

Answer: The expressions are not equivalent because -3(2)(5-4)+3(2-6)=-18 and -12x-6=-30

Step-by-step explanation: Honestly I just did the math but wasn’t sure what it was. Educated guess, I got it right on the test

A.Solve for x. Then, using that information, find the measure of
B.Solve for y. Then, using that information, find the measure of FE and AB.

Answers

Answer:

See answers below

Step-by-step explanation:

Since both trinagles asre similar hence the ratio of the similar sides are equal.

From both triangles;

y + 7 = 3y - 7

y - 3y = -7-7

-2y = -14

y = 14/2

y = 7

FE = 3y - 17

FE = 3(7) - 17

FE = 21 - 17

FE = 4

AB = y'+7

AB = 7 + 7

AB = 14

Similarly

3x+20 = 5x - 80

3x -5x = -80-20

-2x = -100

x = 100/2

x = 50

<A = 3x + 20

<A = 3(50) + 20

<A = 150 + 20

<A = 170degrees

Hence x= 50 and y = 7

SOME PLEASE HELP ME I HAVE TO TURN THIS IN AND IT DUE SOON

Answers

Answer: i am sorry but the picture wont load-

Step-by-step explanation:

it is between 8 and 9.

Match each tax form with its purpose.
W-2
W-4
1040NR
1040EZ

Answers

W-2: the last one
W:4 3rd box
1040NR: 2nd box
1040EZ: last box

A party planner bought 30 meters of ribbon to make bows. She uses 20 centimeters of ribbon to make 1 bow. What is the total number of bows the party planner can make with 30 meters of ribbon?

A. 15

B. 150

C. 1,500

D. 15,000

Answers

Answer:

B. 150

Step-by-step explanation:

1 meter = 100 centimeters

since there is 30 meters x 100 centimeters = 3000 centimeters

then divde by 20 centimeters since that is the cost to make 1 bow so

3000 / 20 = 150.

So 150 bows in total.

I think it’s 150 I did the math and everything

I need the answer ASAP Tap on the picture to see it fully

Answers

Answer:

g = 55

f = 55

h = 55

Step-by-step explanation:

g = 180 - 25 = 55

this is because angle on a straight line is equal to 180 degrees

f = 55

alternate angles are equal. f alternates g

h = 55

opposite angels are equal

A population of emperor penguins has a mean weight of 77 pounds with a standard deviation of 16 pounds. What would be the standard deviation of sample means taken from this population with a sample size of 50?

Answers

Answer:

2.263

Step-by-step explanation:

standard deviation of sample means = s/\sqrt{n}

Given

Standard deviation s = 16pounds

Sample size n = 50

Substituting

standard deviation of sample means = 16/\sqrt{50}

standard deviation of sample means = 16/7.071

standard deviation of sample means = 2.263

Hence the standard deviation of sample means taken from this population with a sample size of 50 is 2.263

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