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Maslowich
2 years ago
8

I need help on this question. ​

Mathematics
1 answer:
Montano1993 [528]2 years ago
8 0

Answer:

JK = 30 .

Step-by-step explanation:

As JMLK is a kite the diagonals bisect each other at right angles so triangle JNK is a right triangle.

JK^2 = 18^2 + 24^2 = 900

JK = 30.

You might be interested in
Equilateral triangle ABC has an area of \sqrt{3}√ ​3 ​ ​​ . If the shaded region has an area of \piπK − \sqrt{3}√ ​3 ​ ​​ , what
Liono4ka [1.6K]

Answer:

The value of k = 4/3

Step-by-step explanation:

* Lets explain how to solve the problem

- An equilateral triangle ABC is inscribed in a circle N

- The area of the triangle is √3

- The shaded area is the difference between the area of the circle

  and the area of the equilateral triangle ABC

- The shaded are = k π - √3

- We need to find the value of k

* <u><em>At first lets find the length of the side of the Δ ABC</em></u>

∵ Δ ABC is an equilateral triangle

∴ Its area = √3/4 s² , where s is the length of its sides

∵ The area of the triangle = √3

∴ √3/4 s² = √3

- divide both sides by √3

∴ 1/4 s² = 1

- Multiply both sides by 4

∴ s² = 4 ⇒ take √ for both sides

∴ s = 2

∴ The length of the side of the equilateral triangle is 2

* <u><em>Now lets find the radius of the circle</em></u>

- In the triangle whose vertices are A , B and N the center of the circle

∵ AN and BN are radii

∴ AN = BN = r , where r is the radius of the circle

∵ The sides of the equilateral angles divides the circle into 3 equal

   arcs in measure where each arc has measure 360°/3 = 120°

∵ The measure of the central angle in a circle equal the measure

  of the its subtended arc arc

∵ ∠ANB is an central angle subtended by arc AB

∵ The measure of arc AB is 120°

∴ m∠ANB = 120°

- By using the cosine rule in Δ ANB

∵ AB = 2 , AN = BN = r , m∠ANB = 120°

∴ (2)^{2}=r^{2}+r^{2}-2(r)(r)cos(120)

∴ 4=r^{2}+r^{2}-2(r)(r)(-0.5)

∴ 4=r^{2}+r^{2}-(-r^{2})

∴ 4=r^{2}+r^{2}+r^{2}

∴ 4=3r^{2}

- Divide both sides by 3

∴ r^{2}=\frac{4}{3}

- Take square root for both sides

∴ r = 2/√3

* <u><em>Lets find the value of k</em></u>

∵ Area circle = πr²

∵ r = 2/√3

∴ Area circle = π(2/√3)² = (4/3)π

∵ Area shaded = area circle - area triangle

∵ Area triangle = √3

∴ Area shaded = (4/3) π - √3

∵ Area of the shaded part is π k - √3

- Equate the two expressions

∴ π k - √3 = (4/3) π - √3

∴ k = 4/3

* The value of k = 4/3

7 0
3 years ago
Booker has 85 video games. He has 3 shelves to put the video games on. Each shelf can hold 40 games. How many more video games d
iris [78.8K]
Multiply 40 * 3 to find how many video games his shelves can hold (120).
Subtract 85 from 120 to find how many more video games he has room for.
3 0
3 years ago
Read 2 more answers
What 5 numbers that has a median equal to 7?
Elza [17]
Median is where if you put them in ascending order and cross them off, one from each side at a time, you get to the middle number.
56789 is your answer but so would any group of 5 numbers where two are bigger and two smaller than seven.
4 0
3 years ago
Does anyone know this??
Anna71 [15]

Answer:

No

Step-by-step explanation:

4 0
3 years ago
the area of a square mirror is 256 inches squared. A Rectagular mirror has a width the same as the square mirror`s width.Its len
hjlf
Take the square root of 256 to find the side length of the mirror
√256 =16
the rectangles width is 16, it length is 2 inches longer
16+2 =18 so the length is 18 
to find the area multiply them together
18x16=288
the area is 288 inches² :)
3 0
3 years ago
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