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marin [14]
3 years ago
12

The ratio of collectible cards Kyle owns to cards that Zeona owns is 3:2. Zeona has 36 cards. How will the ratio of Kyle’s cards

to Zeona’s cards change if they both sell half of their cards? Explain.
Mathematics
1 answer:
blsea [12.9K]3 years ago
4 0

Answer:

It wouldn't.

Step-by-step explanation:

With the ratio, since Zeona has 36 cards, Kyle must have 54. If they each sold half, Kyle would have 27 and Zeona would have 18. So, the ratio would still be 3:2.

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Pls help 15. Find the exact area of the shaded region of the circle shown in the diagram.
konstantin123 [22]

Answer:

  • The shaded region is 9.83 cm²

Step-by-step explanation:

<em>Refer to attached diagram with added details.</em>

<h2>Given </h2>

Circle O with:

  • OA = OB = OD - radius
  • OC = OD = 2 cm

<h2>To find</h2>

  • The area of segment ADB.

<h2>Solution</h2>

Since r = OC + CD, the radius is 4 cm.

Consider right triangles OAC or OBC:

  • They have one leg of 2 cm and hypotenuse of 4 cm, so the hypotenuse is twice the short leg.

Recall the property of 30°x60°x90° triangle:

  • a : b : c = 1 : √3 : 2, where a- short leg, b- long leg, c- hypotenuse.

It means OC: OA = 1 : 2, so angles AOC and BOC are both 60° as adjacent to short legs.

In order to find the shaded area we need to find the area of sector OADB and subtract the area of triangle OAB.

Area of <u>sector:</u>

  • A = π(θ/360)r², where θ- central angle,
  • A = π*((mAOC + mBOC)/360)*r²,
  • A = π*((60 + 60)/360))(4²) =  16.76 cm².

Area of<u> triangle AO</u>B:

  • A = (1/2)*OC*(AC + BC),  AC = BC = OC√3 according to the property of 30x60x90 triangle.
  • A = (1/2)(2*2√3)*2 = 4√3 = 6.93 cm²

The shaded area is:

  • A = 16.76 - 6.93 = 9.83 cm²

8 0
2 years ago
WILL GIVE BRAINLIEST!<br> Given that ℓ1 ∥ ℓ2 and y = 20°, find x.<br> x = <br> °
BabaBlast [244]
X will equal 40.

EXPLANATION: since they’re parallel and these are opposite angles, add them together to equal 180.
x+(20)+3x=180.
add common variables.
4x+20=180
subtract 29 from both sides
4x=160
divide each side by 4 so isolate x
x=40
3 0
2 years ago
How many pounds is 5,888 oz??
lubasha [3.4K]

Answer:

368 lbs

Step-by-step explanation:

divide the mass value by 16

7 0
3 years ago
Read 2 more answers
2x − y = −4→10x − 5y = −20 3x 5y = 59→3x 5y = 59 13x = 39 which equation can replace 3x 5y = 59 in the original system and still
malfutka [58]
13x = 39 can replace 3x + 5y = 59 in the original system and still produce the same solution.
8 0
3 years ago
3(7+x to the power of two);x=2
JulijaS [17]

Answer:

33

Step-by-step explanation:

3(7+x^{2}); x=2

=3(7+2^{2})

=3(7+4)

= 33

5 0
2 years ago
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