In ΔIJK, k = 59 cm, i = 80 cm and ∠J=106°. Find the length of j, to the nearest centimeter.

Answers

Answer 1

Answer:

112 cm.

Step-by-step explanation:

A triangle is a polygon with three sides and three angles. The types of triangles are scalene triangle, equilateral triangle, right angled triangle and obtuse triangle.

Cosine rule states that given a triangle with sides a, b, c and their corresponding angles opposite to the sides as A, B, C. Then:

[tex]a^2=b^2+c^2-2bc*cos(A)[/tex]

In triangle IJK:

We can find the length of j using cosine rule:

[tex]j^2=k^2+i^2-2ik*cos(J)\\\\substituting:\\\\j^2=59^2+80^2-2(80)(59)cos(106)\\\\j^2=3481+6400-(-2602)\\\\j^2=3481+6400+2602\\\\j^2=12483\\\\j=\sqrt{12483} \\\\j=112\ cm[/tex]

In IJK, K = 59 Cm, I = 80 Cm And J=106. Find The Length Of J, To The Nearest Centimeter.

Related Questions

4.3 m to centimeters

Answers

Answer: 430 cm

Step-by-step explanation:

Answer:

430 cm

Step-by-step explanation:

43 multiplied by 10 is 430

Amanda is decorating you new house. She found a table at Pottery Barn for $425. If the table is 45% off, what will it cost?

Answers

the table would be $233.75

What are the answers to these questions

Answers

F(-1)=2
F(2)=-1
F(3)=-3



The f(x) part is the input and the stuff after is the output

13 Points. Find the perimeter.

Answers

Answer:

15.7 cm

Step-by-step explanation:

The perimeter of the entire circumference is

entire perimeter = 2п r

п = 3.14 (aprox)

r = radius = 3cm

entire perimeter = 2*3.14*3 = 18.84 cm

the entire perimeter of the circumference corresponds to 360 degrees

then,

proportions:

18.84 cm ⇔ 360°

F cm ⇔  300°

F = 18.84*300/360

F = 15.7 cm

The graph of p = 400 and the graph of p = 50s - 200 intersect at the point (12,400). If the equation p = 50s - 200 represents the profit, p, based on s sales, what does the intersection best represent? Show work.

Answers

Answer:

This shows that the profit for 12 sales is 400

Step-by-step explanation:

If both graphs intersects then;

p = p

400 = 50s - 200

50s = 400+200

50s = 600

s = 600/50

s = 12

Substitute s =12 into p = 50s-200

p = 50(12) - 200

p = 600-200

p = 400

Hence the intersection (s, p) is (12, 400)

This shows that the profit for 12 sales is 400

BRAINLIEST FOR THE CORRECT AWNSER!! What is the measurement of

Answers

Easy the answer is D I remember doing that question

I doubled checked the correct awnser is D

I will give you 15 points

Answers

Answer: A, D

Step-by-step explanation:

Brian can iron 3 shirts in 5 minutes. If Brian irons at a constant rate, how many shirts can he iron in 30 minutes? WILL GIVE BRANLIEST

Answers

Answer:

18

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

30/5 = 6

6 * 3 = 18

*starts crying from happiness*❤️❤️❤️❤️❤️❤️❤️❤️❤️

Answers

Step-by-step explanation:

f(x) = 2x + c
g(x) = cx + 7
fg(x) = 4x + d
C and d are constants.
Work out the value of d.

May someone help me pleaseeee

Answers

Answer:

c=2, d=16

Step-by-step explanation:

The value of c is 2 and value of d is 16 when f(x) = 2x + c, g(x) = cx + 7 and fg(x) = 4x + d

What is a function?

A relation is a function if it has only One y-value for each x-value.

Given,

f(x) = 2x + c...(1)

g(x) = cx + 7..(2)

fg(x) = 4x + d..(3)

We need to find the values of c and d

fg(x) = 2(cx+7) + c

Apply distributive property

fg(x) =2cx+14+c...*

Now compare * with equation 3

2cx=4x

2c=4

Divide both sides by 2

c=2

and 14+c=d

Substitute c in above equation

14+2=d

d=16

Hence, the value of c is 2 and value of d is 16 when f(x) = 2x + c, g(x) = cx + 7 and fg(x) = 4x + d

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Can you guys please help me!!

Answers

32 it’s as simple as 4(5) + 12

Answer:

a. 32

b. 32

Step-by-step explanation:

a. 12 + 4y

They gave us the value of "y" which is "5", and substitute that into the expression.

12 + 4y

12 + 4(5)

12 + 20

32

b. 4 (y + 3)

They gave us the value of "y" which is "5", and substitute that into the expression.

4 ( y + 3 )

4 ( 5 + 3)

Distributive property (multiply what is in the parenthesis by what is out of it (4))

4 * 5 + 4 * 3

20 + 12

32

Hope this helped!

Have a supercalifragilisticexpialidocious day!

Write an equation of the line that passes through the pair of points. (−4, −2), (4, 0)

Answers

Answer:

y = 1/4x-1

Step-by-step explanation:

Ok first, you need to find the slope:

0+2 = 2=1

4+4 = 8=4

Slope: 1/4

y=1/4x+b

Now you need to find the y intercept which is b. For that you can take a coordinate pair and substitute it in the equation to find b.

I will use (4,0)

0=1/4 X 4 + b

0=x+b

minus x on both sides. x=1

-1=b

An equation of the line that passes through the pair of points

(- 4, - 2), (4, 0) is  y + 2 = (1/4)(x + 4).

What are lines and their slopes?

We know lines have various types of equations, the general type is

Ax + By + c = 0, and the equation of a line in slope-intercept form is

y = mx + b.

Where slope = m and b = y-intercept.

the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.

Given, A  line that passes through the pair of points. (−4, −2), (4, 0).

We also know slope(m) = (y₂ - y₁)/(x₂ - x₁) = (0 + 2)/(4 + 4) = 1/4.

So, the equation of a line in point-slope form is y - y₁ = m(x - x₁).

∴ y + 2 = (1/4)(x + 4).

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Below are two parallel lines with a third line intersecting them.

Answers

Answer:

77

Step-by-step explanation:

180-103=77

The slope of the line below is 5. Which of the following is the point-slope form
of the line?
(-1,3)
5
A. y + 3 = -5(x - 1)
B. y + 3 = 5(x - 1)
C. y - 3 = 5(x+1)
D. Y-3 = -5(x + 1)

Answers

The point-slope form of the line in the graph is y-3 = 5(x+1). The correct option is C.

What is the point-slope form of the line?

The point-slope form of the line is y-y₁ = m( x-x₁)

Here, m is the slope of the line.

The graph given in the question has a slope of 5

It passes through the point ( -1,3)

The point slope form of the line is

y - 3 = 5 ( x - (-1))

y-3 = 5(x+1)

This is represented by option C.

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Simplify: (3x-4)+(-2x+8).

Answers

Answer:

Step-by-step explanation:

x+4

Find the slope of the following graphs.

A. 2/3
B. 3/2
C. 3
D. - 2/3

Answers

Answer:

Answer is A

Step-by-step explanation:

The slope of the shown line passing through points (3,2) and (0,0) is 2/3. The answer is option A.

Given the points (3,2) and (0,0), we can calculate the change in y and change in x as follows:

Change in y = 2 - 0 = 2

Change in x = 3 - 0 = 3

Now, we can substitute these values into the slope formula:

Slope = (change in y)/(change in x) = 2/3

Here, the line has a positive slope, indicating that as x increases by 1, y increases by 2/3.

This means that the line is ascending from left to right, sloping upwards.

Therefore, the slope of the line passing through points (3,2) and (0,0) is 2/3.

Hence, the answer is option A.

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What is the solution for -3w-4=w+4

Answers

Answer:

uhh

Step-by-step explanation:

carrot?

the answer is to this question is w=-2

what are the relative max and min. of this graph?

Answers

Relative Max is 6

Relative Min is -8

Could somebody please help me with these?? It's due tomarrow

Answers

Example for Table 1:

y = x + 6

So if X=-8

1st Row -8+6=-2

2nd Row -4+6=2

3rd Row -2+ 6=4

4th Row -9+6=-3

5th Row 2+6=8

So for any table, the X in the table rule is the X that you are working on.

Answer:

i got you:

1) -2, 2, 4, -3, 8

2) 37, -3, 29, -67, -75

3) -36, 4, -4, -20, -12

4) -10, 6, -4, 8, 4

5) -2, 18, -16, 6, -10

6) -4, -15, 2, 0, -6

7) -25, 23, 5, 29, 11

8) 24, 38, -60, 3, 10

9) 2, 4, 9, -1, -3

10) -14, -8, -15, -10, -16

11) 9, 18, -21, -3, -24

12) -10, 35, -73, 71, -19

hope that helps

Step-by-step explanation:

What is m∠DEF?
Enter your answer in the box.

There is a triangle DEF in which side DE is congruent to side EF and G is the midpoint of the side DF. Segment EG intersect the side DF at point G. The measure of angle DEG is (3y+4) degrees and the measure of angle FEG is (5y-10) degrees.

Answers

Answer:

m<DEF = 8y - 6

Step-by-step explanation:

Given that: DEG = [tex](3y +4)^{o}[/tex], and FEG = [tex](5y-10)^{o}[/tex].

The given triangle is an isosceles triangle with sides DE ≅ DF.

But,

m<DEF = DEG + FEG

            =  [tex](3y +4)^{o}[/tex] + [tex](5y-10)^{o}[/tex]

            = 3y + 4 + 5y - 10

            = 8y - 6

m<DEF = 8y - 6

Therefore, the measure of < DEF is 8y - 6.

Simplify Using the Distributive Property –(3a2 + 5a - 4)​

Answers

Answer:

[tex]-3a^2 - 5a + 4[/tex]

Step-by-step explanation:

N/A

Answer:

-3a2 -5a +4

Step-by-step explanation:

since there us a negative at the front, the sign/ operations change

Y=x (58 power) /5
solve for y

Answers

Answer:

y = x^58/5

Step-by-step explanation:

Nothing further can be done with this topic. just remove the parentheses and it becomes x^58 and u cannot dive because they’re like terms

3. Ivan has completed 45% of his walk.
He has already walked 9 km. How much farther does he have left to walk?​

Answers

Answer:

11

Step-by-step explanation:

The required distance left to the walk will be 11 km.

What is the percentage?

The percentage is defined as a ratio expressed as a fraction of 100.

Let the total distance of the walk would be x km

As per the given information, the required solution would be as:

⇒ 45% of x = 9

45%  is expressed as 45/100 in fractional form

⇒ (45/100)x = 9

45/100  is expressed as 0.45 in decimal form

⇒ 0.45x = 9

⇒ x = 9/0.45

⇒ x = 20

So the total distance of the walk is 20 km

Since he has already walked 9 km.

So, he has left to the distance of the walk = 20 - 9 = 11 km

Therefore, the required distance left to the walk will be 11 km.

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Helpppppppppp. plsssss.Struggling :(

Answers

Answer:

68°

Step-by-step explanation:

22°+68°=90° ......

Over the summer Marty reads 4 times as many pages as the number of pages Nelson and Jennifer read combined Marty reads 1,860 pages and Nelson reads 240 pages

Answers

She reads 4 timws as many pages as them together so you add the number of pages they eead them mhltiply it by 4 (1860+240)4=8400

Classify this triangle by its sides?

Answers

Answer:

Scalene

Step-by-step explanation:

First option, scalene

Is(1, 9)a solution to the inequality y ≤ 6x + 2?

Answers

Answer:

nope

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

It wouldn't be 1,9 it would 1,8 instead also if need help with those an app called desmos helps a lot

Here are the ingredients to make 12 cupcakes.
For 12 cupcakes
200 g butter
200 g caster sugar
4 eggs
250 g flour
Mark is making cupcakes to sell at his school play.
Mark wants to make 1 cupcake for each adult and 2 cupcakes for each child.
There will be 152 adults and 80 children at the school play.
Mark can get these ingredients from the school kitchen.
5 kg butter
5 kg caster sugar
90 eggs
5 kg flour
Make a shopping list of any ingredients Mark still needs, showing the amount of each
ingredient.

Answers

Answer:

Mark needs 2 kg butter, 2 kg caster sugar, 14 eggs, and 1.5 kg flour.

Step-by-step explanation:

Alright, first you double the number of kids, as Mark wants each kid to have two cupcakes, not one. (Then add 80+80 to get 160)

Now add the adults to children: 160+152=312

now divide by 12 to see how many batches of cupcakes he needs to make.

312÷12=26 So he needs to make 26 batches

Now here are the ingredients needed to make 12 batches of cupcakes (I multiplied the amount of each ingredient by 26)

5200 g (5.2 kg) butter, 5200 g (5.2 kg) caster sugar, 104 eggs, and 6500 g (6.5 kg) flour.

now make the measurements the same as Mark's ingredients (or the other way around)

(to save time I am not showing each one, just the normal ingredients turned into kg and compared)

5 kg butter < 5.2 kg butter

5 kg caster sugar < 5.2 kg butter

90 eggs < 104 eggs

5 kg flour < 6.5 kg flour

Now do a little subtraction.....

5.2 kg-5 kg = 2 kg butter is needed....

5.2 kg - 5 kg = 2 kg caster sugar is needed....

104 - 90 = 14 eggs needed....

6.5 kg - 5 kg = 1.5 kg flour needed....

And there you go!!! Hope this helped!!! :D

The amount of ingredients that Mark still requires after getting it from the kitchen is needed.

The amount of ingredients Mark still needs is

200 g of butter

200 g of caster sugar

14 eggs

1500 g of flour

The number of cupcakes that are needed for 152 adults and 80 children is

[tex]152+2\times 80=312[/tex]

For the 12 cupcakes the ingredients are

200 g butter

200 g caster sugar

4 eggs

250 g flour

For 1 cupcake the ingredients are

[tex]\dfrac{200}{12}=\dfrac{50}{3}\ \text{g}[/tex] of butter

[tex]\dfrac{200}{12}=\dfrac{50}{3}\ \text{g}[/tex] of caster sugar

[tex]\dfrac{4}{12}=\dfrac{1}{3}[/tex] eggs

[tex]\dfrac{250}{12}=\dfrac{125}{6}\ \text{g}[/tex] of flour

For 312 cupcakes

[tex]312\times \dfrac{50}{3}=5200\ \text{g}[/tex] of butter

[tex]312\times \dfrac{50}{3}=5200\ \text{g}[/tex] of caster sugar

[tex]312\times \dfrac{1}{3}=104[/tex] eggs

[tex]312\times \dfrac{125}{6}=6500\ \text{g}[/tex] of flour

The required ingredients are

[tex]5200-5000=200\ \text{g}[/tex] of butter

[tex]5200-5000=200\ \text{g}[/tex] of caster sugar

[tex]104-90=14[/tex] eggs

[tex]6500-5000=1500\ \text{g}[/tex] of flour

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You pay $11.20 to buy drink boxes for the football team. Each drink box cost $0.40. How many drink boxes did
you buy?

Answers

I think it’s uhhhh I think it’s uhhhhh carrot

John and Robin like to collect stones. John has n stones, and Robin has 68 stones. Together they have a total of 98 stones, Write an equation to describe this situation. ​

Answers

Answer:

n+68=98 find n (n=30)

Step-by-step explanation:

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