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

To increase a liability, you will record it as

A. a credit

B. current

C. noncurrent

D. debit

Answers

Answer:

The answer is A.) a credit

Step-by-step explanation:

I hope this helps!

Answer:

If you ask a banker whether debiting or crediting a liability increases the account’s balance, the financier will tell you it depends on the transaction. The same answer holds true for accounting procedures, even though banking debits and credits are distinct from accounting practices. To understand the effects of journal entries on financial accounts, it’s important to master such terms as liability, record keeping and financial reporting.

If you want to learn more i got my answers from bizfluent.

pls help if u can
thanks in advance

Answers

Answer:

x=55

Step-by-step explanation:

Since the two lines are parallel the two angles are same side exterior. This means their sum is 180. So to solve put them equal to 180, x+9+2x+6=180.

First, combine like terms

3x+15=180

Then, subtract 15 from both sides

3x=165

Finally, divide the entire equation by 3

x=55

Find the slope of the line

Answers

Answer:

1/4

Step-by-step explanation:

Translate the sentence to an algebraic expression r minus 7

Answers

Answer:

r-7

Step-by-step explanation:

Please answer me .....

Answers

Answer:

a. 2x -3

b. 7

Step-by-step explanation:

a. The expression that represents the difference is sales between the two sales will be:

9x - (7x + 3) = 9x - 7x - 3 = 2x - 3

b. What we do here is to simply substitute the value of 5 for x

mathematically, we have to substitute the value of 5 in the expression above

We have this as:

2(5) -3

= 10-3 = 7

9y-7=29
Prove y=4
Solve the problem

Answers

9y - 7 = 29

=> 9y = 29 + 7 [Transferring 7 to R.H.S.]

=> 9y = 36

=> y = 36/9 [Transferring 9 to R.H.S.]

=> y = 4

Hence proved.

Answer:

Here

Step-by-step explanation:


b)
The cost price of an electronic fan is Rs 2,800. If the shopkeeper marks its price
30% above the cost price and sells it at 10 % discount, how much should a
customer pay for it with 15 % VAT?​

Answers

Answer:

cp=2800

mp=cp+30%of cp=2800+30/100×2800=3640

discount=10%

discount amount=10%ofmp=10/100×3640=364

sp=mp-discount=3640-364=3276

vat=15%

sp with vat=sp+vat%of sp=3276+15/100×3276=3276+491.4=3767.40

The price customers pay for it with 15 % VAT is Rs 3767.40 if the cost price of an electronic fan is Rs 2,800.

What is the percentage?

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

We have:

The cost price of an electronic fan is Rs 2,800.

Cost with 30% above the cost price = Cost price +30% of cost price

= 2800 + (30×2800)/100

= 3640

Discount = 10%

Discount amount = 10% of 3640 = 364

Discounted price = 3640 - 364 = 3276

VAT = 15%

Discounted price with VAT = 3276 + 15% of 3276

= 3767.40

Thus, the price customers pay for it with 15 % VAT is Rs 3767.40 if the cost price of an electronic fan is Rs 2,800.

Learn more about the percentage here:

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Question 46: A figure has a perimeter of 112 units. What will the new perimeter be after a dilation with a scale factor of 1/4?
Can someone please help me?

Answers

Answer: 65

Step-by-step explanation:

P = 2L + 2w   <---- formula for perimeter

26 = 2L + 2w  <--- original perimeter is 26

13 = L + w <--- divides everything by 2

32.5 = 2.5L + 2.5w <-- scale factor of 2.5; those are the NEW length and width

Multiplying both sides by 2, the new perimeter is 65;

Shawna was going to sell all of her stamp
collection to buy a video game. After selling half of them she changed her mind. She then bought five more. How many did she start with if she now has 30?

Answers

Answer:

She started with 50 stamps

Step-by-step explanation:

Hi! For these types of problems we always result to going backwards. So, she now has 30 right? So, to reverse into the problem, we do the opposite of what it says. "She then bought five more" 30 - 5 = 25. Then it says she sold half of them. 25 x 2 = 50. If we recheck by going back, she sold half of them (50 / 2 = 25) and she bought five more (25 + 5 = 30).

Hope this helps!

Desi is about to dilate ABC by multiplying each coordinate by d.
1.) If d>l what happens to the shape?
a. The shape is enlarged.
b. The shape is reduced.
c. The shape will be congruent.
d Not enough information.

Answers

The answer is d not enough information

Find the volume of a cylinder with a height of 7 cm and a radius of 3 cm.

A. 21 / cm3

B. 63 71 cm

C. 147 cm

D. 42 71 cm​

Answers

Answer:

198 cm³

Step-by-step explanation:

V = π r² h

V = 22/7 × 3² × 7

V = 22/7 × 9 × 7

V = 22 × 9

V = 198 cm³

Answer: B

Step-by-step explanation: a.p.e.x

Find the area of the isosceles triangle.
13 cm is the side length
10 cm is the base
what is the hight?

Answers

Try this thing which you can find on internet
A=1/2.b.h
A=1/2.10.12
h^2+5^2=13^2
h^2+25-25 =169-25
h^2=144

√h= √144
h=12
so right answer is this one

Doing some homework right now :) Need help on this problem

Answers

Answer:

both have 5

Step-by-step explanation:

10 divided by 2 equals 5

Both of them have 5 I think. Idrk but I’m pretty sure it’s right. Hopefully it is

Order the following set of numbers in ascending order (least to greatest): 2.007; 2.714; 2.09; 2.741; 2.07

Answers

Answer:

2.007;2.07;2.09;2.714;2.741

Step-by-step explanation:

2.007 is the least and 2.741 is the greatest

Answer: 2.007, 2.07, 2.09, 2.714, 2.741

Step-by-step explanation:

Two pencils and a ruler cost 98 cents in total. One pencil and 2 rulers cost $1.24 in total. Find the cost of each item.

Answers

Answer:

2.16

Step-by-step explanation:

r = cost of ruler

p = cost of pencil

 

r = 2p

6r + 15p = 2.16

 

Substitute 2p in place of r in 2nd equation and solve for p

 

6(2p) + 15p = 2.16

12p + 15p = 2.16

27p = 2.16

Answer: 2.16
6(2p)+15p=2.16
12p+15p=2.16
27p=2.16

Exact volume
15 ft
7 ft

Answers

Answer:

If your trying to find the volume from those two numbers than the answer is 105 since 15 x 7 = 105 feet

Step-by-step explanation:

Explain how you know these two figures are similar

Answers

Answer:

Firstly, we know that both are parallelograms, if you rotate a little, and both have the same angles in the parallelogram.

they have 2 pairs of the same angles, so they’re similar

16 plus what will equal 90

Answers

Answer: 83

Step-by-step explanation:90-16

Answer:

74

Step-by-step explanation:

just subtract 90-16 and 74's your answer!

Oh and have a nice day and stay safe, all love from jen!<3

3 points
2. The cost of an online subscription to a
newspaper is $7.99 per month. If you
buy a one-year subscription, the cost
is $89.88. How much do you pay each
month if you choose the one-year
subscription?

Answers

Answer:

$7.49

Step-by-step explanation:

89.88/12= 7.49

CAN SOMEONE PLEASE HELP IM DUM 10 POINTS

Answers

Answer:

The slope is 3.5 it represents the amount of miles per hour

Step-by-step explanation:

I subtracted 6 from 13 and got 7miles every 2 hours, then I divided 7 by two to get 3.5 miles per hour.

Pls give me brainliest, hope this helped

I need the graph to answer the 2nd question. Could you please share graph photo

Solve the system using substitution.
2x - 5y = 26
X - 5y = 3

Answers

Answer:

(x, y) = (23, 4)

Step-by-step explanation:

2x - 5y = 26

x - 5y = 3 $\Rightarrow$ x = 3+5y

substituting the value of x ( second equation) into the first equation, we get, 2(3+5y) - 5y = 26. Simplifing, we get,

6+10y - 5y =26

5y = 20

y = 4

So, x = 3+5*4 = 3+20 = 23

Answer:

[tex]\left \{ {{x=23} \atop {y=4}} \right.[/tex]

Step-by-step explanation:

[tex]\left \{ {{2x - 5y =26} \atop {x-5y=3}} \right.[/tex]

you can add 5y to both sides of the second equation:

[tex]x = 5y + 3[/tex]

Then, substitute:

[tex]2(5y + 3) - 5y = 26[/tex]

use the distributive property on the left side:

[tex]10y + 6 - 5y = 26[/tex]

[tex]5y + 6 = 26[/tex]

subtract 6 from both sides

[tex]5y = 20[/tex]

divide both sides by 5

[tex]y = 4[/tex]

Substitute into original equation

[tex]x - 5y = 3 --> x - 5(4) = 3\\x - 20 = 3\\x = 23[/tex]

please help me with this work for 10 points

Answers

It’s increasing 6.8#

Kai has 32 tickets. He wants to put the same number of tickets into 4 boxes.
Which number sentence could be used to find the number of tickets Kai should
put in each box?

Answers

Answer:

32 tickets divided by 4 boxes.

Step-by-step explanation:

He wants to divide the 32 tickets between the 4 boxes. So it would be 32 divided by 4. Hope this helps and have a great day!

Which of the following statements correctly describes the items shown below?

A. Both functions are increasing and have different rates of change.

B. Both functions are increasing and have the same rates of change.

C. Both functions are decreasing and have the same rates of change.

D. Both functions are decreasing and have different rates of change.

Answers

Answer:

Both functions are decreasing and have different rates of change.

Step-by-step explanation:

Which statement is true??

Answers

I think the first one is correct, sorry if I’m wrong.

PLEASE HELP!?!?!?!?! In our amusement park that we built this week, the ride Diablo’s Domain had revenue of $250,000,000 in its first year as expected. The company paid $750,000 for insurance or $3 for every $1,000 in revenue. If the park is wildly successful and revenue increases by 25% in the second year and the rate of $3 for every $1,000 holds true, how much would it pay for insurance? Do you think it’s reasonable for insurance costs to increase proportionally? Why or why not?

Answers

Answer:

1) The amount to be paid as insurance if the revenue increases is $937,000

2) Yes because the total value of the risk insured and the likelihood of the occurrence of the risk both increases

Step-by-step explanation:

1) The given amount in revenue of the Diablo's Domain = $250,000,000

The amount the company paid as insurance  = $750,000

The equivalent amount the company paid as insurance = $3 for every $1,000

The percentage amount in revenue the park revenue increases by = 25%

Therefore, the new amount in revenue = 1.25 × $250,000,000 = $312,500,000

The amount to be paid as insurance if the revenue increases = $315,500,000 × 3/1000 = $937,5000

The amount to be paid as insurance if the revenue increases = $937,000

2) It is reasonable for the insurance cost to increase proportionally when the items insured which leads to the increase in revenue increases because the value of the risk insured which is the event of settlement for losses increases as well as the probability of the risk occurring also increases.


Which table matches 4x+7y=19?

Answers

Answer:

c

Step-by-step explanation:

The table which matches 4x + 7y = 19 is table (d).

What are Linear Equations?

Linear equations are equation involving one or more expressions including variables and constants and the variables are having no exponents or the exponent of the variable is 1.

Given is a linear equation,

4x + 7y = 19

(a) When x = -18,

7y = 19 - (4 × -18) = 91 ⇒ y = 13

When x = 1,

7y = 15 ⇒ y = 2.14

So the table (a) is not the one.

(b) When x = -9, 7y = 55, y = 7.857

Table (b) is also not the one.

(c) When x = 0, y = 2.7

Hence (c) is also not an option.

(d) When x = -18, y = 13

When x = -11, 7y = 63, y = 9

When x = -4, 7y = 35, y = 5

So the correct option is table (d).

Hence the correct option is table (d).

Learn more about Linear Equations here :

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What type of number ??

Answers

Answer: Rational number

Step-by-step explanation:

A car is 180 inches long. A truck is 75% longer than the car How long is the truck? Create an equation to help solve. someone help ​

Answers

Answer:

1+1=2f di and 182,000

Step-by-step explanation:

help for last one please

Answers

Answer:

the slope is one since the line rises once and runs once

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