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klio [65]
3 years ago
6

If A ⊂ B, then which of the following describes the relationship between A and B?

Mathematics
1 answer:
agasfer [191]3 years ago
6 0
The ans is d
coz set A is subset of setB
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The sum of the circumference of a circle and the perimeter of a square is 24. Find the dimensions of the circle and square that
lyudmila [28]

Answer:

The radius of the circle is r=1.68\ units

The length of the square is x=3.36\ units

Step-by-step explanation:

we know that

The circumference of a circle is equal to C=2\pi r

The perimeter of the square is equal to P=4x

so

24=2\pi r+4x

Simplify

12=\pi r+2x

x=(12-\pi r)/2 -----> equation A

The area of a circle is equal to A=\pi r^{2}

The area of a square is A=x^{2}

The total area is equal to

At=\pi r^{2}+x^{2} -----> equation B  

substitute equation A in equation B

At=\pi r^{2}+[(12-\pi r)/2]^{2}

This is a vertical parabola open upward

The vertex is the minimum

The x-coordinate of the vertex is the radius of the circle that produce a minimum area

The y-coordinate of the vertex is the minimum area

Solve by graphing

The vertex is the point (1.68, 20.164)

see the attached figure

therefore

The radius of the circle is

r=1.68\ units

Find the value of x

x=(12-\pi r)/2

assume

\pi =3.14

x=(12-(3.14)*(1.68))/2

x=3.36\ units

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stepladder [879]

Answer:

The value of x = 20

Step-by-step explanation:

Given:

∠BOC = 3x - 15

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Computation:

⇔ ∠BOC + ∠COD = 90

⇔ 3x - 15 + 2x + 5 = 90

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The value of x = 20

5 0
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Please help! I will mark brainlist!​
melamori03 [73]

Answer: A

Step-by-step explanation:

3 0
3 years ago
Sandra took 4 tests in math and her mean score was 18. I she scored 18, 22, and
Salsk061 [2.6K]

Answer:

15

Step-by-step explanation:

(18+22+17+x)/4=18

18+22+17+x=18×4

57+x=72

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