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2 years ago

Define the domain of the following

Mathematics

1 answer:

devlian [24]2 years ago

7 0

The domain of the function or relation on the graph is { -2, -1, 0, 2 and 5}

<h3>What is the domain of a function?</h3>

The domain of the function is the set of input values of the graph

<h3>How to determine the domain of the function?</h3>

The function is represented by the set of relation or ordered pairs on the graph

The graph is given as an attachment

The ordered pairs in the relation on the graph are:

(x, y) = (-2, -3), (-1, -1), (0, 3), (2, 1) and (5, 2)

Remove the y values in the above domain

x = -2, -1, 0, 2 and 5

The x values represent the domain of the function

And the domain of the function is the set of input values of the graph

Hence, the domain of the function or relation on the graph is { -2, -1, 0, 2 and 5}

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The new club sticker is in the shape of a triangle. It has a height of 8 inches and a base of 10 inches. The area of the club st

rusak2 [61]

Answer:

40 square inches.

Step-by-step explanation:

It is given that the new club sticker is in the shape of a triangle.

Height of triangle = 8 inches

Base of triangle = 10 inches

We need to find the area of sticker.

Area of triangle $=\dfrac{1}{2}\times base \times height$

Substitute base = 10 and height = 8 in the above formula.

Area of triangle $=\dfrac{1}{2}\times 10\times 8$

Area of triangle $=\dfrac{80}{2}$

Area of triangle $=40$

Therefore, the area of the club sticker is 40 square inches.

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3 years ago

Help me find x please

bulgar [2K]

Answer:

x=11

Step-by-step explanation:

These are alternate interior angles. Alternate interior angles are equal when the lines are parallel

6x =2x+44

Subtract 2x from each side

6x-2x =2x+44-2x

4x =44

Divide each side by 4

4x/4 = 44/4

x = 11

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3 years ago

The circumference of the inner circle is 44 ft. The distance between the inner circle and the outer circle is 3 ft. By how many

Citrus2011 [14]

Answer: 18.86 feet

Step-by-step explanation:

The formula for determining the circumference of a circle is expressed as

Circumference = πD

Where D represents the diameter of the circle.

The circumference of the inner circle is 44 ft. It means that

22/7 × D = 44

22D = 7 × 44 = 308

D = 308/22

D = 14 ft

The distance between the inner circle and the outer circle is 3 ft. This means that the diameter of the outer circle would be

14 + 3 + 3 = 20 ft

Circumference of the outer circle is

22/7 × 20 = 62.86 ft

The number of feet by which the circumference of outer circle is greater than the circumference of the inner circle is

62.86 - 44 = 18.86 feet

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3 years ago

How many 1 fourths are in 3 fourths?

Mama L [17]

Answer:

Step-by-step explanation:

This question means 3/(1/4). The rule for division of fractions is invert the denominator and multiply. 3/(1/4) = 3 * 4 = 12. Another way to think of it is to imagine you have 3 pies each divided into quarters.

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3 years ago

An aquarium has a base area of 6 square feet and a height of 2 feet. Will the aquarium fit in 15 cubic feet of space? Explain wh

Brums [2.3K]

Answer:

Yes, the aquarium <u>will</u> fit in 15 cubic feet of space.

Step-by-step explanation:

Given:

An aquarium has a base area of 6 square feet and a height of 2 feet.

Now, to find will the aquarium fit in 15 cubic feet of space or not.

<em>So, as given the dimensions:</em>

Base area = 6 square feet.

Height = 2 feet.

Now, to get the volume of aquarium by using formula:

$Volume=base\ area\times height\\\\Volume=6\times 2\\\\Volume=12\ cubic\ feet.$

<u><em>As, the volume of aquarium is 12 cubic feet.</em></u>

<u><em>And, the aquarium to be fit in 15 cubic feet space. So, 15 is more than 12.</em></u>

<u><em>Thus, the aquarium will be fit in 15 cubic feet space.</em></u>

Therefore, the aquarium will fit in 15 cubic feet of space.

7 0

3 years ago