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3 years ago

Determine for each number whether it is irrational or rational number.

Mathematics

1 answer:

lara31 [8.8K]3 years ago

3 0

rational numbers can be written as a ratio of two integers a/b

1/2 is the ratio of 1 and 2 so its rational

√7/10 is not a ratio of two integers so its irrational

3π/4 is not a ratio of two integers so its irrational

5/9 is the ratio of 5 and 9 so its rational

18 is 18/1 and is the ratio of 18 and 1 so its rational

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A regular polygon has its interior angles all equal to 174°

Vika [28.1K]

The shape has sixty sides

working out:
180 - 174 = 6
360 / 6 = 60

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3 years ago

List the markup and retail price of each item. Round to two decimal place when necessary.

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3 years ago

ANSWER FAST ILL GIVE BRAINLIEST!!

Dominik [7]

Given:

A square base pyramid whose base length is 10 in. and height of triangular surface is 4 in.

To find:

The surface area of the pyramid to the nearest whole number.

Solution:

A square base pyramid contains square base with edge 10 in. and 4 congruent triangles with base 10 in. and height 4 in.

Area of a square is

$A_1=(edge)^2$

$A_1=(10)^2$

$A_1=100$

So, area of square base is 100 sq. in.

Area of a triangle is

$A_2=\dfrac{1}{2}\times base\times height$

$A_2=\dfrac{1}{2}\times 10\times 4$

$A_2=20$

So, area of each triangular surface is 20 sq. in.

Now, the total surface area of the pyramid is

Total area = Area of square base + Area of 4 congruent triangles.

$A=A_1+4\times A_2$

$A=100+4\times 20$

$A=100+80$

$A=180$

Therefore, the area of the pyramid is 180 sq. in.

5 0

3 years ago

What is the least common multiple of 2, 5, and 15?

Licemer1 [7]

Answer:

30 i think

Step-by-step explanation:

4 0

3 years ago

Hershel is designing a square pyramid that needs to have a lateral surface of 440 in². The area of the base is 121 in². Find the

Snowcat [4.5K]

Answer:

The length of the slant height of the square pyramid is 20 in.

Step-by-step explanation:

The lateral surface area of a regular pyramid is the sum of the areas of its lateral faces.

The general formula for the lateral surface area of a regular pyramid is

$A=\frac{1}{2}pl$

where $p$ represents the perimeter of the base and $l$ the slant height.

From the information given we know that:

The lateral surface area of a square pyramid is 440 in².
The area of the base is 121 in².

And we want to find the the slant height of the pyramid.

For this, we also need to know that the area of a square is given by $A=s^2$ , where <em>s</em> is the length of any side and the perimeter of a square is given by $p=4s$ .

Applying the formula for the area of a square we can find the length of the side

$121=s^2\\s^2=121\\s=\sqrt{121}=11$

The perimeter of the base is

$p=4\cdot(11)=44$

Next, we can apply the formula for the lateral surface area and solve for $l$ the slant height.

$440=\frac{1}{2}44l\\\\\frac{1}{2}\cdot \:44l=440\\\\22l=440\\\\l=20$

The length of the slant height of the square pyramid is 20 in.

4 0

4 years ago