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Taya2010 [7]
3 years ago
5

What is the intersection of the three sets: A = {1, 3, 5, 7, 9}, B = {1, 2, 3, 5, 7}, and C = {1, 2, 5, 8, 9}?

Mathematics
1 answer:
marysya [2.9K]3 years ago
7 0

ITS A. 1 AND 5 BECAUSE 1 AND 5 ARE IN ALL 3 SETS

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How many natural numbers are between 45 and 58?
Eddi Din [679]

Answer:

12

Step-by-step explanation:

You could actually list the numbers between (but not including) 45 and 58:

{46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57}.  I count 12 numbers here.

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3 years ago
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Work out the size of AED. Work out x
Monica [59]

Answer:

a). m∠AED = 70°

b). x = 10°

Step-by-step explanation:

a). Quadrilateral ABDE is a cyclic quadrilateral.

Therefore, by the theorem of cyclic quadrilateral,

Sum of either pair of opposite angle is 180°

m(∠AED) + m(∠ABD) = 180°

m(∠AED) = 180° - 110°

m(∠AED) = 70°

Since, ∠AED ≅ ∠EAD

Therefore, m∠AED = m∠EAD = 70°

b). By triangle sum theorem in ΔABD,

m∠ABD + m∠BDA + m∠DAB = 180°

110° + 40° + m∠DAB = 180°

m∠DAB = 180° - 150°

m∠DAB = 30°

m∠BAE = m∠EAD + m∠BAD

              = 70° + 30° = 100°

By angle sum theorem in ΔACE,

m∠EAC + m∠AEC + m∠ACE = 180°

100° + 70° + x° = 180°

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4 0
3 years ago
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LenaWriter [7]

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3 years ago
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​You need to wrap a present that you will put inside a cylindrical container. You’ll need to know how much will fit in the conta
nirvana33 [79]

Answer:

149.28 sq. inches

137.5 cubic inches.

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The cylindrical container has length or height (h) 7 inches and has a diameter of 5 inches i.e. radius (r) 2.5 inches.

Now, total surface area of the container = 2\pi r^{2} + 2\pi rh

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= 149.28 sq. inches (Answer)

Again the volume of the container will be \pi r^{2}h

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6 0
3 years ago
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mixas84 [53]

Answer:

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Step-by-step explanation:

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