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3 years ago

Match the following.

2 answers:

7 0

Match the following.

Given A = {1, 2, 3, 4, 5} B = {2, 4, 6} C = {1, 3, 5}

1. A ∪ B {1, 2, 3, 4, 5, 6}

2. A ∪ C {1, 2, 3, 4, 5}

3. A ∩ B {2, 4}
4. A ∩ C {1, 3, 5}
5. B ∩ C null, or empty set

Strike441 [17]3 years ago

4 0

Answer with Step-by-step explanation:

Intersection of two sets gives the element which is common in both the sets and union gives the elements of both the sets.

A = {1, 2, 3, 4, 5} B = {2, 4, 6} C = {1, 3, 5}

1. A ∪ B={1,2,3,4,5,6}

2. A ∪ C={1,2,3,4,5}

3. A ∩ B={2,4}

4. A ∩ C={1,3,5}

5. B ∩ C=null or empty set

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A label wraps around soup can with a radius of 4.3 cm and a height of 6 cm. What is the lateral surface area of the label of the

Soloha48 [4]

Answer:

$52\pi \text{ cm}^2\approx 162.11\text{ cm}^2$

Step-by-step explanation:

We have been given that a label wraps around soup can with a radius of 4.3 cm and a height of 6 cm. We are asked to find the lateral surface area of the label of the soup can in square centimeters.

We will use lateral surface area of cylinder to solve our given problem as:

$LA=2\pi rh$ , where,

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h = height of cylinder.

Upon substituting our given values in above formula, we will get:

$LA=2\pi \times\text{4.3 cm}\times \text{6 cm}$

$LA=51.6\pi \text{ cm}^2$

$LA=162.10618\text{ cm}^2$

Therefore, the lateral surface area of the label of the soup is approximately 162.11 square cm.

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3 years ago

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One side of a square garden is 8 yards long. What is the area of the garden? A) 16 square yards. B) 32 square yards. C) 64 squar

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B.32 You get this because a square is perfect, which means it's equal on all sides. So 8x4=32

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Find the measures of the angles of a right triangle where one of the two acute angles measure 8 times the otehr.

Goryan [66]

Answer:

Step-by-step explanation:

The two acute angles add up to 90 degrees. That's because every triangle has 180 degrees and a right angle is 90 degrees.

<m1 + <m2 + 90 = 180 Subtract 90 from both sides.

<m1 + <m2 + 90 - 90 = 180 - 90 Combine

<m1 + <m2 = 90

Let m1 = 9*m2 Substitute.

9m2 + m2 = 90 Combine

10 m2 = 90 Divide by 10

10m2/10 = 90/10

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m1 = 9*m2

m1 = 9 * 9

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3 years ago

Will give brainliest, please help

Rus_ich [418]

Answer:

Step-by-step explanation:

A triangle always consists of it being 180 degrees. The box on the triangle on angle A depicts that it is a right angle, 90 degrees. And since Angle B is given at 45, angle C must be 45 degrees as well, since 180-45-90 (triangle angles=given angles for A and B) equal up to 45. When the angles beside the right angle is both identical and the same, the sides that correspond with that triangle is also the same. AC is given at 9 feet, and since Angle C and B both have the same angles, AB must ALSO be a 9ft.

Now, since we know the two sides, it is very easy to find BC, or the hypotenuse of the triangle, using the Pythagorean Theorem: $a^{2} +b^{2} =c^{2}$ , where a and b are sides, and c is the hypotenuse (or the long end) of a right triangle.

We can plug both 9s in for a and b since they're both the same, and it should equal to

9^2+9^2=c^2.

9^2 is 9*9, and that is 81. We have two of these so add them together to find 162. Since c^2 is equal to 162, we would need to square root both sides so we can find a number that equals c.

$\sqrt{162} =c$

We can either plug this into a calculator, and we should get something around 12.72, and that would be the same as C if you plug that value into a calculator.

You can also simplify the radical if you know how to. 162 is 81 times 2 (example) and 81 is 9*9, so we can add that to the outside and 2 is still under the radical. But this would only make sense if you know how to do that.

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