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2 years ago

28 as a prime factorization

Mathematics

1 answer:

olasank [31]2 years ago

8 0

Answer:

2*2*7

Step-by-step explanation:

First do a number that can multiply up to 28

28=2*14

so keep the 2 , because it is a prime number, but 14 isn't so prime factorize it

2*14=2*2*7

2*2*7 is your answer because they all prime factors

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277 squared above the perimeter of the circular building find the markings of both sides

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2 years ago

The dimensions of a triangular prism are shown below what is the volume of the prism in cubic feet

Yuliya22 [10]

Answer:

B. 192.5 ft³

Step-by-step explanation:

To find the volume of a triangle prism, multiply the base, height, and length together, and then divide it by 2 (or multiply that by 0.5).

(5 * 7 * 11)/2

Multiply 5 by 7 to get 35.

(35 * 11)/2

Multiply 35 by 11 to get 385.

385/2

192.5 ft³ is the volume of this triangluar prism.

8 0

3 years ago

A triangle has a perimeter of 90 centimeters write and use a linear system

lawyer [7]

We are given sides of the triangle by expression

First side : n

Second side : m = 5n-5.

Third side : l = 5/4 m - n.

Perimeter is 90.

Therefore, first equation could be set :

n +m +l = 90 --------------equation(1)

Second equation would be

m = 5n-5 --------------equation(2)

Third equation would be

l = 5/4 m - n --------------equation(3)

Let us solve the system of equations by substitution.

Substituting m = 5n-5 and l = 5/4 m - n in first equation.

We get

n +5n-5 +5/4 m - n= 90

Now, substituting m = 5n-5 in above equation we get

n +5n-5 +5/4 (5n-5) - n= 90

5n + 25n/4 -5 - 25/4 =90

5n + 6.25n -5-6.25 = 90.

11.25n-11.25 = 90

Adding 11.25 on both sides, we get

11.25n-11.25+11.25 = 90+11.25

11.25n = 101.25.

Dividing both sides by 11.25, we get

n=9.

Plugging n=9 in 2nd equation.

m = 5(9)-5 = 45 -5 = 40.

Plugging n=9 and m=40 in first equation, we get

9 +40 +l = 90

49 +l = 90.

Subtracting 49 from both sides, we get

49-49 +l = 90-49

l = 41.

Therefore, sides are of lengths l = 41, m= 40 and n=9.

5 0

3 years ago

A cone has a height of 2.5 in. and a radius of 5 in. What is the volume of the cone? (Use 3.14 for Pi. Round the answer to two d

Stells [14]

Answer:

$V =\frac{1}{3} \pi r^2 h$

And replacing we got:

$V = \frac{1}{3} (3.14) (5in)^2 (2.5in) = 65.42 in^3$

And the best option would be:

65.42 Inches cubed

Step-by-step explanation:

For this case we have the following info given:

$h =2.5 in$ represent the height of the cone

$r = 5 in$ represent the radius

And the volume of the cone is given by;

$V =\frac{1}{3} \pi r^2 h$

And replacing we got:

$V = \frac{1}{3} (3.14) (5in)^2 (2.5in) = 65.42 in^3$

And the best option would be:

65.42 Inches cubed

6 0

3 years ago

Read 2 more answers

Please someone what is the total surface area of this pryamid

Dimas [21]

Answer:

$\large\boxed{C.\ (25+25\sqrt3)\ in^2}$

Step-by-step explanation:

We have the square and four equilateral triangles.

The formula of an area of a squre:

$A_S=a^2$

a - length of side

The formula of an area of an equilateral triangle:

$A_T=\dfrac{a^2\sqrt3}{4}$

a - length of side

Clculate the areas:

SQURE:

$A_S=x^2\ in^2$

TRIANGLE:

$A_T=\dfrac{x^2\sqrt3}{4}\ in^2$

The SURFACE AREA of a square pyramid:

$S.A.=A_S+4A_T\\\\S.A.=x^2+4\cdot\dfrac{x^2\sqrt3}{4}=x^2+x^2\sqrt3$

Put x = 5:

$S.A.=5^2+5^2\sqrt3=(25+25\sqrt3)\ in^2$

7 0

3 years ago