In ΔIJK, j = 800 cm, k = 240 cm and ∠I=173°. Find the area of ΔIJK, to the nearest square centimeter.

Answers

Answer 1

Answer:

11699 square centimeters

Step-by-step explanation:

In ΔIJK, j = 800 cm, k = 240 cm and ∠I=173°. Find the area of ΔIJK, to the nearest square centimeter.

When given two sides of a triangle and an angle, the area of the triangle is calculated as:

1/2jksintheta

theta = 173°

Hence:

Area of triangle =

1/2 × 800 × 240 × sin 173

= 11699.456967 square centimeters

Approximately = 11699 square centimeters


Related Questions

((will give brainliest)) What is the output of the function y = 12 + 3x if the input is 5.​

Answers

Answer:

y = 27

Step-by-step explanation:

The output is the value of y when x = 5

Substitute x = 5 into the function , that is

y = 12 + 3(5) = 12 + 15 = 27 ← output

output is 27

to solve you plug in the input into x and rewrite the equation as y=12+3(5) then you add 12+15 and get y=27

Is parallelogram BCDE a rectangle?

Answers

No, all lines should be equal considering that rectangles have 4 of the same right angles

[AB] is a diameter of center C(O, 3cm). M is a point on (C) such that MA=MB. D is the symmetric of A with respect to M.
What is the nature of triangle AMB? Justify. ​

Answers

Answer:  I dont know AZ

Analyze: 30 + 11 when c=4

Answers

It would be 23 because 3(4) + 11 would convert to 12 + 11 giving you 23

Answer:

23

Step-by-step explanation:

3c + 11

3(4) + 11

12 + 11

23

Simplify the expression to standard form

-2.5(-3+ 4n+8)

Answers

Answer:

-12.5-10n

Step-by-step explanation:

jjjjjjjvuvubibuvuvuvibibivi

Answer:

distribute to get:

7.5 -10n -20

-10n - 12.5

Ab and cd intersects at e, aec=5x+12 and deb=8x-3

Answers

Answer:

x = 5

Step-by-step explanation:

Angles DEB and AEC are vertical angles, so they are congruent, and their measures are equal.

8x - 3 = 5x + 12

3x = 15

The local movie theater charges $13 for adult tickets and $7 for children’s tickets. Yesterday they sold 115 tickets and made $943. How many adult and children tickets did they sell?

Answers

Answer:

i need more info

Step-by-step explanation:

At the craft store, Amelia bought a bag of purple and yellow marbles. She received 75 marbles in all. 15 of the marbles were purple. What percentage of the marbles were purple?

Answers

Answer: 20%

Step-by-step explanation:

Given

Total marbles are 75

Out of this 15 are purple

Percentage of purple marbles is given by

[tex]\Rightarrow \dfrac{15}{75}\times 100=20\%[/tex]

So, purple marble constitutes of 20%

1. What is the decimal equivalent of 3/
9? 0.2 0.3 0.4 0.5​

Answers

0,3 is the decimal equivalent of 3/9

An interior designer wants to place this bed in a home, and she is especially concerned about the headboard, which is 6 feet wide and 5 feet tall. She’ll place the headboard on a wall that is 7 feet wide and 9 feet tall. She needs to know the area of the space that will remain after she places the bed against the wall

Answers

Answer:

Step-by-step explanation:

Area of the Wall minus the Area of the headboard      

Area = length x width      in  this use tall as length and wide as width

Area Wall - Area Headboard  =  (Tall wall)(Wide wall)  -  (Tall head)(Wide head)

                 =  (9)(7) - (5)(6) feet

                 =    63 - 30  feet

                 =   ????                      I'll let you finish it

The area of the space that will remain after she places the bed against the wall is 30 feet².

What is Area?

Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape. The area of a plane figure is the area that its perimeter encloses. The quantity of unit squares that cover a closed figure's surface is its area.

We have,

The headboard, which is 6 feet wide and 5 feet tall.

The headboard on a wall that is 7 feet wide and 9 feet tall.

So, Area of remaining space

= Area of the Wall - Area of the headboard      

= (9)(7) - (5)(6) feet

= 63 - 30  

= 30 feet²

               

Learn more about Area here:

https://brainly.com/question/27683633

#SPJ5

Together Mike and Sara ran 42 laps on the
track. Sara ran twice as many laps as
Mike did. Write a system of equations and
solve it to see how many laps they each ran.

Answers

Answer:

i dont know the system of equations since i only calculated it until i got the right answer but sara did 28 laps and mike did 14

Which expressions are equivalent to this exponential expression?
6-10
6-4
06-6
0 66
0
1
0
O
1
36

Answers

Answer:

6*6=36

Step-by-step explanation:

6*6. 6 with exponent of 2=36

Which of the following correctly completes the square for: x^2+2x=48

A. (x+2)^2=52
B. (x+1)^2=49
C. (x+2)^2=47
D. (X-1)^2=26

Answers

Answer:

(x+1)²= 49, the answer is B

Step-by-step explanation:

x² + 2x = 48

x² + 2x + (2/2)² -  (2/2)²= 48 --[what we are trying to do is to complete a square by adding (2/2)² -  (2/2)²]

(x+1)²= 49, the answer is B

Answer:

hey I'm pretty sure it's B. (x+2)²=49

Step-by-step explanation:

x²+2x+(2\2)²=48 + (2\2)²

(x+1)²=49

2 over 2 by the power of 2 = 1

QUESTION 6 / 10
Which of the following is not a source of income?

A. Your monthly student loan payment.

B. The stipend you receive for doing an internship.

C. Your annual salary for doing your job.

D. The wages you receive after a work shift.

Answers

Answer:

b. The stipend you receive.

Step-by-step explanation:

It would say paid intern if they were paid.

In a random sample, 3 of 400 computer chips are defective. Based on
the sample, how many chips out of 100,000 would you expect to be
defective?

Answers

Answer:

750 of 100,000 chips would be expected to be defective.

Step-by-step explanation:

(3/400) and (?/100,000)

100,000 ÷ 400 = 250.

Multiply 250 by 3 to find the number of defective chips.

250 x 3 = 750.

A survey was conducted on 800 students regarding the number of automobiles in their household. The population mean is 2.7 automobiles with a standard deviation of 0.7.

Which statement is true?
A.
There is a 95% certainty that the sample mean will fall within the interval 2.68 to 2.72.
B.
There is a 95% certainty that the sample mean will fall within the interval 2.67 to 2.73.
C.
There is a 95% certainty that the sample mean will fall within the interval 2.62 to 2.77.
D.
There is a 95% certainty that the sample mean will fall within the interval 2.65 to 2.75.

Answers

I can’t say much but I guess C

EXPLAIN YOUR WORK PLZ

AJ worked 48 hours last week. He earns $15.40 per hour plus overtime, at the usual rate, for hours exceeding 40 hours. What was his gross pay?
A $644.80
B$739.20
C$800.80
D$1,108.80

Answers

Answer:

D

Step-by-step explanation:

It will be $1,108.0 Because if you devide 40 by the hours, Plus the pay which is 15.40 You will get D

plz help me I only have 5 minutes left winner gets brainliest
In what year did the Apartheid Laws in South Africa end?



1990


1972


1994


1958

Answers

They ended in the early 1990s

Answer:1994.

Step-by-step explanation:I need brainliest I helped with your other questions in comments pls

what is the answer to 7(2x + 9)

Answers

Answer:

14x + 63

Step-by-step explanation:

[tex]7(2x+9)\\\\14x+63\\\\\left \{ {{7*2x=14x} \atop {7*9=63}} \right.[/tex]

Hope this helps.

9 units 7 units What is the area of the rectangle above?

Answers

Answer: Area= length x width

63

Find the apothem or height of the triangle. Round your answer at the end to the nearest tenth.​

Answers

Answer:22.4

Step-by-step explanation:

Yea I'm bad at explaining

The equation shown has an unknown number ⍰÷3/4=4/9

Answers

Answer:

9

Step-by-step explanation:

Find the values of x and y that make these triangles congruent by the HL Theorem

Answers

Answer:

number 3

because because because because because because because because because

Step-by-step explanation:

because because because because

Carlos has 2.6 meters of wire. He has 3 projects for which he needs 0.9 meters each. Does carlos have enough wires?

Answers

Answer: Carlos does not have enough wires by 0.1 meters

Step-by-step explanation:

To determine if Carlos has enough wires, you need to find out the total amount of wires needed and then compare this to the amount of wires that Carlos has already.

= 0.9 + 0.9 + 0.9

= 2.7 meters

Carlos has 2.6 meters of wire but needs 2.7 meters.  

Carlos therefore, does not have enough wires.

The base of a 14-foot ladder is 2 feet from a building. If the ladder reaches the flat roof , how tall is the building

Answers

the building is around 14.14 feet tall

a^2 + b^2 = c^2
14^2 + 2^2 = 200
squareroot 200 is abt 14.14

Answer:

Step-by-step explanation:

The height of the building is 8 rad 3

Approximately 13.9 ft

Plz, answer this question plz!

Answers

c. that is da answer swag

Please look at the picture and answer my question I need help!

Answers

Answer:

64oz=4lb

Step-by-step explanation:

When converting ounces to pounds there is a 16:1 ratio, or there is 16 ounces in every pound.

To solve this, simply do 64/16 and you'll get your answer of 64oz=4lb.

64/16=4

64oz=4lb

happy april fools day you nerds now take my points

Answers

Happy April fools day ?

Answer:

WOW THANK YOU SO MUCH!

Step-by-step explanation:

I'm more of a dog lover and not a nerd, but hey I'll take what I can get!

If your like dogs, can you guess what kind of dog this is?

(yes they are all the same breed just different coat colors)

Help, Help, Please
[tex] \sf find \: the \: value \: of \: \theta \: when \: \theta \: is \: acute\: angle[/tex]
[tex] \sf \cos^{2}(\theta) - \sin^{2}(\theta) =2-5 \cos(\theta) [/tex]
[tex]\text{note:explanation is a must}[/tex]

Answers

Answer:

θ = [tex]\frac{\pi }{3}[/tex] (60° )

Step-by-step explanation:

Using the identity

sin²x + cos²x = 1 ⇒ sin²x = 1 - cos²x

Given

cos²θ - sin²θ = 2 - 5cosθ

cos²θ - (1 - cos²θ) = 2 - 5cosθ

cos²θ - 1 + cos²θ = 2 - 5cosθ

2cos²θ - 1 = 2 - 5cosθ ( subtract 2 - 5cosθ from both sides )

2cos²θ + 5cosθ - 3 = 0 ← in standard form

(cosθ + 3)(2cosθ - 1) = 0 ← in factored form

Equate each factor to zero and solve for θ

cosθ + 3 = 0

cosθ = - 3 ← not possible as - 1 ≤ cosθ  ≤ 1

2cosθ - 1 = 0

cosθ = [tex]\frac{1}{2}[/tex] , so

θ = [tex]cos^{-1}[/tex] ([tex]\frac{1}{2}[/tex] ) = [tex]\frac{\pi }{3}[/tex] ( or 60° )

Answer:

[tex] \huge \boxed{ \boxed{\blue{ { \theta = 60}^{ \circ} }}}[/tex]

Step-by-step explanation:

to understand thisyou need to know about:trigonometryPEMDASlet's solve:[tex] \sf \: rewrite \: \sin ^{2} ( \theta) \: as \: 1 - \cos ^{2} ( \theta) : \\ \sf \implies \: \cos ^{2} ( \theta) - (1 - \cos ^{2} ( \theta)) = 2 - 5 \cos( \theta) [/tex][tex] \sf \: remove \: parentheses \: and \: change \: its \: sign : \\ \sf \implies \: \cos ^{2} ( \theta) - 1 + \cos ^{2} ( \theta)) = 2 - 5 \cos( \theta) [/tex][tex] \sf \: add : \\ \sf \implies \: 2\cos ^{2} ( \theta) - 1 = 2 - 5 \cos( \theta) [/tex][tex] \sf \: move \: left \: hand \: sides \: expression \: to \: right \: hand \: sides \: : \\ \sf \implies \: 2\cos ^{2} ( \theta) + 5 \cos( \theta) - 1 -2 = 0[/tex][tex] \sf \: rewrite \: 5\cos( \theta) \: as \: 6 \cos( \theta) - \cos( \theta) : \\ \sf \implies \: 2\cos ^{2} ( \theta) + 6 \cos( \theta) - \cos( \theta) - 3 = 0[/tex][tex] \sf \:factor \: out \: 2 \cos( \theta) \: and \: - 1 : \\ \sf \implies \: 2\cos ( \theta)( \cos( \theta) + 3 ) -1( \cos( \theta) + 3) = 0[/tex][tex] \sf \: group: \\ \sf \implies \: (2\cos( \theta) - 1) ( \cos( \theta) + 3 ) = 0[/tex][tex] \sf \: rewrite \: as \: two \: seperate \: equation: \\ \sf \implies \: \begin{cases}2\cos( \theta) - 1 = 0\\ \cos( \theta) + 3 = 0 \end{cases} [/tex][tex]\sf add \: 1 \: to \: the\: first \: equation \: and \: substract \: 3 \: from \: the \: second \: equation: \\ \sf \implies \: \begin{cases}2\cos( \theta) = 1\\ \cos( \theta) = - 3 \end{cases} [/tex]

[tex] \sf the \: second \: eqution \: is \: false \: \\ \sf because \: - 1 \leqslant \cos( \theta) \leqslant 1 \: \\ \sf but \: we \: can \: still \: work \: with \: the \: second \: equation[/tex]

[tex] \sf substract \: both \: sides \: by \: 2 : \\ \implies\frac{ 2\cos( \theta) }{2} = \frac{1}{2} \\ \implies\cos( \theta) = \frac{1}{2} \\ \therefore \: \theta \: = {60}^{ \circ} [/tex]

Can someone help me with this??

Answers

Answer:

A

Step-by-step explanation:

When dilating an object, you multiply the x and y values by whatever scale you want to dilate the object by. It cannot be C because 2/5 is less than 1, which means that the object would shrink. So the answer must be A

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