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3 years ago

Write 24 as a product of its prime factors.

2 answers:

8 0

<span>prime factors are prime numbers that can be multiplied to give the number.
to find the prime factors the number is divided by the prime numbers by which the number is divisible.

24 / 3 = 8
8 / 2 = 4
4 / 2 = 2
2 / 2 = 1
24 is divisible by 3 , 2 , 2 and 2.
therefore 24 written as a product of its prime factors is 24 = 2 x 2 x 2 x 3</span>

Karo-lina-s [1.5K]3 years ago

4 0

Answer:

Prime factors of 24 is 2× 3×2×2

Step-by-step explanation:

Given : Number 24.

To find: Write 24 as a product of its prime factors.

Solution : We have given that number 24

Prime number : numbers which are divisible by 1 or itself only

Example = 2, 3, 5, 7,....etc

So we will find the factor of 24 by prime factorization

24 is divisible by 1

24 ÷ 3 = 8

8 ÷ 2 = 4

4 ÷ 2 = 2

2 ÷ 2 = 1

Hence we can write 24 as 2× 3×2×2

Therefore, Prime factors of 24 is 2× 3×2×2

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3 years ago

What is the area of this figure? Round to the tenth if necessary.

Julli [10]

Answer:

<h3>b) 850.1 centimeters.</h3>

Step-by-step explanation:

To find the area of this figure, we must first find the areas of the shapes that compose this figure.

This figure is made up of a rectangle and a semicircle.

Remember: To find the area of a semicircle, multiply the radius by itself twice, then multiply the product pi, lastly divide the product by 2.

$a=\pi r^2/2$

To find the area of a rectangle, multiply the length by the width. The product is the area of the rectangle.

$a=lw$

Now, let's solve.

The diameter of the semicircle is 32 centimeters.

To find the radius of a semicircle, divide the diameter by 2.

$32/2=16$

The radius of the semicircle is 16 centimeters.

Now that we have the radius, we can find the area of the semicircle.

$\pi 16^2/2=401.92$

The area of the semicircle is 401.92 centimeters.

Furthermore, we find the area of the rectangle.

$14*32=448.$

The area of the circle is 448 centimeters.

Next, we add the areas of both shapes to find the area of this figure.

$401.92+448$

$=849.92$

The final step is to round 849.92 to the nearest tenth.

Even though 849.92 to rounded to the nearest tenth is 849.9, there is no answer choice for this. The closest one to this answer is choice 'b.'

I, therefore, believe the area of this figure is 850.1 centimeters.

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3 years ago

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Answer:

Step-by-step explanation:

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7 0

3 years ago

Read 2 more answers

A Norman window has the shape of a semicircle atop a rectangle so that the diameter of the semicircle is equal to the width of t

Makovka662 [10]

Answer:

132.233 ft2

Step-by-step explanation:

Let's call the width of the rectangle 'w' and the length 'x'. So the area of the semicircle is:

$A_1 = \pi*radius^2/2$

$A_1 = \pi*(w/2)^2/2$

$A_1 = \pi/8*w^2$

And the area of the rectangle is:

$A_2 = w*x$

If the perimeter of the window is 41 feet, we have:

$Perimeter = length + 2*width + \pi*radius$

$41 = x + 2*w + \pi*w/2$

$x = 41 - w(2 + \pi/2)$

Now, the equation for the total area of the window is:

$A = A_1 + A_2 = \pi/8*w^2 + w*x$

$A = \pi/8*w^2 + w*(41 - w(2 + \pi/2))$

$A = (\pi/8-2 - \pi/2)*w^2 + 41w = -3.1781w^2 + 41w$

To find the maximum area, we can find the x-coordinate of the vertex of the quadratic equation:

$x\_vertex = -b / 2a = -41 / (-3.1781*2) = 6.45$

So the width that gives us the maximum area of the window is 6.45 feet, and the area will be:

$A = -3.1781w^2 + 41w = -3.1781*(6.45)^2 + 41*6.45 = 132.233\ ft^2$

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3 years ago

A coffee mug is 16 fl oz. How many qts are needed to fill 26 mugs

MrMuchimi

1 quart = 32 ounces

She will need 13 quarts <span>of coffee.</span>

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3 years ago