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3 years ago

A). Write a number less than 50 that has at least 8 factors. B.) List the number's factors.

Mathematics

1 answer:

Maru [420]3 years ago

6 0

Answer: a. Such number that is less than fifty is 48

b. The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24 and 48 itself.

Step-by-step explanation:

A factor of a number is a number that is capable of dividing another number without leaving any remainder behind. For example, let us consider the number, "12". The factors of 12 refer to other numbers that can divide 12 without leaving any remainder.

Factors of 12 include: 1, 2, 3, 4, 6 and 12 itself. Therefore the number "12" has six factors.

Now, we were asked to write a number that is less than the number "50" and which also has at least 8 factors.

a. One of such numbers that is less than fifty and has at least eight factors is the number, "48".

b. The factors of "48" include:- 1, 2, 3, 4, 6, 8, 12, 16, 24 and 48 itself. So, 48 is less than fifty and it has a total of ten factors.

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Solve the Linear Quadratic system of equations<br><br> y=x^(2)+2x-9<br> y=-2x+3

Debora [2.8K]

9514 1404 393

Answer:

(x, y) = (-6, 15) and (2, -1)

Step-by-step explanation:

You can start by subtracting the second equation from the first.

(y) -(y) = (x^2 +2x -9) -(-2x +3)

0 = x^2 +4x -12 . . . . . . collect terms

0 = (x +6)(x -2) . . . . . . . factor

Solutions for x are -6 and +2. These values make the factors zero.

The corresponding solutions for y are ...

y = -2(-6) +3 = 15

y = -2(2) +3 = -1

Solutions to the system of equations are ...

(x, y) = (-6, 15) and (2, -1)

3 0

2 years ago

Please help me solve step by step it's urgent

NNADVOKAT [17]

Answer:

2i: 169.71

2ii: 0.17L

3a: 4×10⁻⁵

3b: 110011

Step-by-step explanation:

2i. The surface of the top and bottom of the tin is two times (top and bottom) π·r² = 2·π·3² = 18π cm².

The circumference of the circle is 2·π·r = 6π cm².

The area of the material connecting top and bottom is a rectangle of the tin height times the circumference: 6·6π = 36π cm².

This gives a total of 18π + 36π = 54π cm².

With π approximated by 22/7 the total surface area is 54*22/7 ≈ 169.71.

Notice how the calculation is simple by waiting until the very last moment to substitute π.

2ii. The volume is the area π·r² of the circle times the height of the tin: 9π*6 = 54π cm³ ≈ 169.71 cm³.

Since 1L = 1000 cm³ the volume is 0.16971 litres, which should be rounded to 0.17 L.

3a: If we rewrite P as 36 x 10⁻⁴ and realize that 36/2.25 = 16, then the fraction can be written as

16 x 10⁻⁴⁻⁶ = 16 x 10⁻¹⁰.

The square root of that is taking it to the power of 1/2, so (16x10⁻¹⁰)^0.5 = 4x10⁻⁵ = 0.00004

3b: 1111 1111 is 255 in decimal. 101 is 5 in decimal. 255/5 is 51 in decimal. 51 in binary is 110011.

6 0

3 years ago

What is the volume of a square pyramid with base edges 24 feet and slant height 37

-Dominant- [34]

Answer: The volume of pyramid is 6720 ft³

Step-by-step explanation:

Given: Base edge of a square pyramid = 24 feet

Slant height = 37 feet

Therefore height of pyramid is given by

$h^2=l^2-\dfrac{1}{2} b^2$ where h is height, l is slant height and b is base edge of pyramid

So we have

$h^2= 37^2-(\dfrac{1}{2} \times 24)^2= 37^2-12^2=1225 \\\\\Rightarrow h= \sqrt{1225} =35$

Height of pyramid is 35 feet

Now the volume of a pyramid is given by

$V=b^2\dfrac{h}{3}$ where V is volume , b is base edge and h is height of pyramid

Therefore

$V= (24)^2\dfrac{35}{3} = 6720$

Hence , the volume of pyramid is 6720 ft³

7 0

2 years ago

Please help me. Please....

Nadusha1986 [10]

Answer:

Step-by-step explanation:

1/2(a+b)=180

1/2(6+12)=18

1/2(18)=180

9/9=180/9

=20

8 0

2 years ago

if gabby wants to make a regular octagon with a side length of 20 inches of water , how much wire does she need?

EleoNora [17]

Answer:

160 inches

Step-by-step explanation:

An octagon has 8 sides;

20*8=160

4 0

2 years ago