In ΔJKL, j = 6.3 inches, l = 6.1 inches and ∠L=54°. Find all possible values of ∠J, to the nearest 10th of a degree.

Answers

Answer 1

Answer:

56.7 and 123.3

Step-by-step explanation:

delta math

Answer 2

The required value of  ∠J is 56.6° for the given triangle.

What is a Triangle?

Triangle is defined as a basic polygonal shape of a triangle that has three sides and three interior angles. It is one of the fundamental shapes in geometry and is represented by the symbolΔ.

Here, we are given:

j = 6.3 inches (the length of side JK)

l = 6.1 inches (the length of side KL)

∠L = 54° (the measure of angle L)

We want to find the possible values of ∠J (the measure of angle J).

Using the law of sines, we can write:

j/sin ∠J = l/sin ∠L

Substituting the given values, we get:

6.3/sin ∠J = 6.1/sin 54°

Multiplying both sides by sin ∠J and dividing by 6.1, we get:

sin ∠J = (6.3/6.1) sin 54°

sin ∠J ≈ 0.8354

∠J = sin⁻¹ (0.8354)

∠J = 56.6°

Therefore, the required value of  ∠J is 56.6°.

Learn more about the triangles here:

https://brainly.com/question/17997149

#SPJ3


Related Questions

6 cm
6 cm
1
6 cm
9 cm
-6 cm
-15 cm

Answers

Answer:

180 cm^2

Step-by-step explanation:

Remark

If you put the slices that have been removed back into the figure, and figure out the resulting rectangle and subtract the slices, you get an answer that is easily calculated.

Note

The square on the upper right is 6 cm high. That makes the width of the rectangle 9 + 6 =  15. The length is already known as 15. So this square is 15 by 15 = 225

The lower right triangle is a little harder to handle. The total width is 15. The height of the triangle is 6 + 6. The first 6 comes from the square that was removed. The total with is 15. So the height of the lower right triangle is 15 - 12 = 3

Answer

The answer to the square on the upper left that was removed = 6*6 = 36

The answer to the triangle on the lower right is 1/2 * 6 * 3 =                    9

The total of the removed figues is 36 + 9 =                                              45

The area of the figure with both figures removed is 225 - 45 = 180 cm^2

LOOK AT THE PHOTO AND HELP GIVE ME EXPLANATION

Answers

exterior angle

60 + 2x = 180 - 602x = 120 - 60x = 30

then

x + y + 60 = 18030 + 60 + y = 180y = 180 - 90y = 90°

Answer:

90 degrees

Step-by-step explanation:

The angle is a right angle, because its straight up. A right angle is always 90 degrees.

m(x) = -3x + -2
Find m(-4)

Answers

m(-4)=-3•-4-2
m(-4)=10

Answer:

3x +2 =5

and m(x) was x=5 ,= m= -4

if the value of 12.5% equals 4,000, what is the value of 87.5%?​

Answers

Answer:

12.5%*7=87.5%

4000*7=28000

28000

Answer:

28,000

Step-by-step explanation:

Since 4,000 is 12.5%, you can divide 87.5/12.5 to see how many times 12.5 goes into 87.5, which is 7 times. so then since you need to find the value of how much 87.5% is, then you can multiply 4,000 by 7 since 7 is 87.5 percent, leaving us with 28000

squares rectangles and rhombl are types of trapezoids true or false​

Answers

Answer:

false

Step-by-step explanation:

2. Find the amount in an account where $500 is invested at 2.5% compounded continuously for a period of 10 years

Answers

Answer:

A = 642.01

Step-by-step explanation:

Given:

P = 500

r = 2.5% or 0.025

t = 10

Work:

[tex]A=Pe^{rt}\\\\A=500e^{0.025*10}\\\\A=500e^{0.25}\\\\A=642.01[/tex]

A buoy is constructed out of the bottom half of a sphere with a cone on top. The radius of the sphere and the radius of the cone is 6 ft. The height of the buoy is 10 ft. What is the volume of the buoy?
Enter your answer, in exact form, in the box.

Answers

Answer:

The correct answer is 192pi

Step-by-step explanation:

I took the test and this was the correst answer

Composite shapes are made up of two or more shapes. The required volume of the composite shape in exact form is 498π cubic feet

How to calculate the volume of composite shapes?

Composite shapes are made up of two or more shapes. According to the given question, the buoy is made up of a cone and sphere.

The volume of the buoy = volume of sphere + volume of the cone

Find the volume of the sphere

Vs = 4/3πr³
Vs = 4/3π(6)³
Vs = 288π cubic feet

Find the volume of the cone

Vc = 1/3πr²h
Vc = 1/3π(6)²(10)
Vc = 120π cubic feet


Volume of the buoy =  288π + 120π
V = 498π cubic feet

Therefore the required volume of the buoy in exact form is 498π cubic feet

Learn more on volume of composite shape here: https://brainly.com/question/12693294

A student records the repair cost for 17 randomly selected TVs. A sample mean of $73.10 and standard deviation of $16.01 are subsequently computed. Determine the 90% confidence interval for the mean repair cost for the TVs. Assume the population is approximately normal. Step 1 of 2: Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.

Answers

Answer:

49.34 i think

Step-by-step explanation:

What is the area, in square units, of the parallelogram shown below? A parallelogram ABCD is shown with height 8 units and base 6 units. 24 square units 48 square units 52 square units 64 square units

Answers

Answer:

Step-by-step explanation:

Area of parallelogram = base * height

                                      = 6 * 8

                                      = 48 square units

Answer:

Solution :-

Area = Base × Height

Area = 6 × 8

Area = 48 units²

[tex] \\ [/tex]

In a study conducted by the US department of Health and Human Services, a sample of 546 boys aged 6-11 was weighed, and it was determined that 87 of them were overweighted. A sample of 508 girls aged 6-11 was also weighed, and 74 of them were overweighted. (a) Find a 90% confidence level for the difference of overweight proportion for aged 6 -11 between boys and girls. (b) Can you conclude that the proportion of overweight boys is higher than the proportion of girls who are overweight? i. State hypothesis. ii. Compute P-value. iii. What is your conclusion?

Answers

Answer:

a) CI = ( - 0,0087 ; 0,0355)

b) No CI contains 0 meaning that statistically the proportions could be equal

Step-by-step explanation:

Boys Sample

Size sample   n₁  = 546

x₁ = 87

proportion   p₁  = 87/546     p₁ = 0,159       p₁  =  15,9 %

Girls sample

Size sample   n₂  = 508

x₂ = 74

proportion  p₂  =  74 / 508     p₂ = 0,1456   p₂  = 14,56 %

Hypothesis test:

Null hypothesis                    H₀              p₁  =  p₂

Alternative Hypothesis       Hₐ              p₁  ≠  p₂

Confidence Interval  CI = 90 %   significance level  α = 10 %

α = 0,1    and as the alñternative hypothesis indicates is a two-tail test

then α/2 = 0,05

z(score)  for 0,05 is from z table   z(c) = 1,64

Confidence Interval 90 % is:

CI = [( p₁ - p₂) ± z(c) *  √ p*q * ( 1/n₁  +  1 / n₂ )

p = (x₁ + x₂ ) / n₁ + n₂

p = ( 87 + 74 ) / 546 + 508

p = 0,1527      then   q = 1 - 0,1527    q = 0,8473

CI = 0,0134 ± √ 0,1527*0,8473 ( 1/546   + 1 / 508 )

CI = 0,0134 ± 0,0221

CI = ( - 0,0087 ; 0,0355)

CI  contains  0 meaning that difference between the groups could be 0

Therefore we can conclude that  proportion on both groups are different. We can´t reject H₀

We need to calculate z(s)

z(s) = [ p₁ - p₂ ] / √ p*q * ( 1/n₁  +  1 / n₂ )

p = (x₁ + x₂ ) / n₁ + n₂

p = ( 87 + 74 ) / 546 + 508

p = 0,1527      then   q = 1 - 0,1527    q = 0,8473

z(s) = [ 0,159 - 0,1456] / √ 0,1527*0,8473 ( 1/546   + 1 / 508 )

z(s) = 0,0134/ √0,1294 ( 0,0018 + 0,00196 )

z(s) = 0,0134/ √0,1294 ( 0,0038)

z(s) = 0,0134/ 0,0221

z(s) = 0,61

p-value for  z(s) = 0,61      p-value = 0,7291

p-value > 0,05

As p-value is bigger than 0,05 we have to accept H₀. We don´t have enough evidence to claim any difference between the two groups

6 divided by 1/4 ? Answer it please

Answers

Answer:

the correct answer 24 i looked it up

Solve the right triangle.
Round your answers to the nearest tenth.

Answers

Answer:

A = 48°

b = 13.5

c = 20.2

Step-by-step explanation:

✔️A = 180° - (90° + 42°) (sum of triangle)

A = 48°

✔️To find b and c, apply trigonometric function.

Reference angle = 42°

Opposite = b

Hypotenuse = c

Adjacent = 15

✅Apply TOA to find b:

Tan 42 = Opp/Adj

Tan 42 = b/15

15 × Tan 42 = b

13.5060607 = b

b = 13.5 (nearest tenth)

✅Apply CAH to find c:

Cos 42 = Adj/Hyp

Cos 42 = 15/c

c × Cos 42 = 15

c = 15/Cos 42

c = 20.1844909

c = 20.2 (nearest tenth)

Junior's brother is 1 1/2
meters tall. Junior is 1 1/5
of his brother's height.
How tall is Junior?

Answers

Answer:

Step-by-step explanation:

1 1/5 of 1 1/2 meters  

= (1+1/5) x (1+1/2)  

= 1x1 + 1x1/2 + 1x1/5 + 1/5*1/2  

= 1 + 1/2 + 1/5 + 1/10  

= 1 + (1x5+1x2+1)/10  

= 1 8/10  

= 1 4/5 meters

Answer:

1 4/5 meters

Step-by-step explanation:

1 1/5 of 1 1/2 meters  

= (1+1/5) x (1+1/2)  

= 1x1 + 1x1/2 + 1x1/5 + 1/5*1/2  

= 1 + 1/2 + 1/5 + 1/10  

= 1 + (1x5+1x2+1)/10  

= 1 8/10  

= 1 4/5 meters

3. Find the missing side lengths. Leave your answers as radicals in simplest form. Show your work to support
your answer.

Answers

Answer: b=2(square root of 2) and a=4

Step-by-step explanation:

Since this is a 45-45-90 triangle we know that side b is equal to [tex]b=2\sqrt{2}[/tex].

In a 45-45-90 triangle, the hypotenuse is equal to [tex]x\sqrt{2}[/tex] this means in order to find missing side length a, we have to multiply [tex](2\sqrt{2})(\sqrt{2})[/tex] this will give us 4

so the missing side lengths are, [tex]b=2\sqrt{2}[/tex] and [tex]a=4[/tex]

Answer: B = 2 (Square root of 2) A = 4

Explanation: This is an isosceles triangle so the legs will be the same. To get the hypotenuse I simply just multiplied one leg by the square root of 2 and two square roots of the same number multiply the whole number by whatever number is in the square root (so in this case it's multiplying 2 by 2)

Answer choices
4 feet
5feet
6feet
8feet
Please help if you send a link I will report

Answers

8 is the answererrr :))))))

Answer:

d

Step-by-step explanation:

only reasonable answer

Which two integers is √123 between?

Answers

9514 1404 393

Answer:

  11 and 12

Step-by-step explanation:

√123 ≈ 11.0905 lies between 11 and 12.

__

Since you're familiar with your squares, you know ...

  11^2 = 121

  12^2 = 144

123 lies between 121 and 144, so √123 lies between 11 and 12.

I need this answer quick!​

Answers

Answer:

Um we can’t see anything it’s just white

Step-by-step explanation:

How can I Write X^2 + 18 + 81 In factored form?

Answers

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

Let's simplify step-by-step.

x ^ 2 + 18 + 81 <3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

Combine Like Terms:

= x ^ 2 + 18 + 81

= ( x ^ 2 ) + ( 18 + 81 )

= x ^ 2 + 99

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

Answer:

= x ^ 2 + 99

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

3. You have a yard that has a width of 5 yd 1 ft and a
length of 30 ft. Find the simplified ratio of the width
to the length:

Answers

Answer:

5:47

Step-by-step explanation:

.........................................

Answers

Answer:

yes

Step-by-step explanation:

Answer:

.......

Step-by-step explanation:

9+99999+99999-9999999999+9999999

Answers

Answer:

-9989799993

Step-by-step explanation:

Put it in a calculator

Ty for points

Answer:

Step-by-step explanation:

-989,799,993

Simplify: (3^5)^2 / 3^-2


A) 3^10

B) 3^9

C) 3^12

D) 3^8

Answers

Answer:

C

Step-by-step explanation:

(3^5)^2= 59049 divided

(3)^-2 = 0.11111111

531441 = 3^12

Your answer is C. 3^12

I hope this helps you and that you have a good week :)

please help me and fast

Answers

1. c
2. b
3. d

these should be correct

Evan has $4,600 to deposit into two savings accounts.
• Evan will deposit $2,000 into Account I, which earns 5% interest, compounded annually.
• Evan will deposit $2,600 into Account II, which earns 4% annual simple interest.
In 3 years, which account will produce more interest, and by how much?

Answers

Answer:

The second one by 4 dollars

Step-by-step explanation:

Find the difference

what is 91,360 in expanded form

Answers

Answer:

Expanded Notation Form:

 91,360 =

 90,000  

+ 1,000  

+ 300  

+ 60  

+ 0  

Expanded Factors Form:

   91,360 =

 9 × 10,000  

+ 1 × 1,000  

+ 3 × 100  

+ 6 × 10  

+ 0 × 1  

Expanded Exponential Form:

 91,360 =

9 × 104

+ 1 × 103

+ 3 × 102

+ 6 × 101

+ 0 × 100

Word Form:

91,360 =

ninety-one thousand three hundred sixty

Hope this helps! mark me as brainliest if possible, you dont have too!

Step-by-step explanation:

Marsha will deposit $5,000 into an account for 10 years. What is the interest earned for 5%?

Answers

Answer:

$2,500

Step-by-step explanation:

I = Prt

Given:

P = 5000

r = 0.05

t = 10

Work:

I = Prt

I = (5000)(0.05)(10)

I = 250(10)

I = 2500

Guys I don't need you to answer the question I just want to know what the math is called

Answers

Answer:

that's the quadratic formula:)

Step-by-step explanation:

can someone help me ​ please

Answers

9514 1404 393

Answer:

  1. 5000

  2. the year is 2003

  3. > 1000; evaluate the function

Step-by-step explanation:

1. The value of t is "years since 2005." In 2005, the value of t is zero. To find the model's prediction for 2005, substitute t=0.

  p = 5000·2^0 = 5000·1

  p = 5000 . . . . in 2005

__

2. When t=-2, it means you're concerned with the population 2 years before 2005. That is, you are modeling the population in 2003.

__

3. Evaluate the function for t=-2:

  p = 5000·2^(-2) = 5000·1/4 = 1250

For t=-2, the fish population is 1250, which is more than 1000.

please help me with this asap

Answers

Answer:

76

Step-by-step explanation:

I rewrote the question so I wouldn't have to keep going back to the picture.

A poll asked 1000 adults who own smartphones where they put their smartphone while sleeping. The following two-way table of relative frequencies shows the data collected on age and smartphone habits. Of the adults polled, 200 were 65 or older.

How many of the adults polled that were 65 or older sleep with their smartphone within reach?

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

I bet if I called this a two- way table of "percentages, written as decimals", it would make more sense.

Total number of adults 65 and older = 200. The 0.38 of them that sleep with their phone in reach = 38% of them. Multiply 200 x 0.38 = 76

To check the math, 200 x 0.62 = 124, and 124 + 76 = 200.

As always, please let me know if you have questions. I've answered each of your open questions as of now (11am CDT, USA)

Someone help me please I will mark brainiest.

Answers

The volume would be 200
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