Mathematics : asked on Sprout7430

23.12.2021

The square root of the sum of a number and 12 is 9. Find the number.

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09.07.2023, solved by verified expert

Bibin (Bibi) P B

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The number is 69.

Step-by-step explanation:

Square both sides.

Solve for x. Subtract 12 from both sides.

Check.

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Mathematics

The square root of the sum of a number and 12 is 9. Find the number.

Step-by-step answer

P Answered by Master

The number is 69.

Step-by-step explanation:

$\sqrt{(x+12)} =9$

Square both sides.

x+12=81

Solve for x. Subtract 12 from both sides.

$x=81-12\\x=69$

Check.

$\sqrt{(69+12)} =9\\\sqrt{81} =9$

Mathematics

Acone shaped hat is shown: what is the approximate height of the hat? a: 2.79 centimeters, because height = square root of the difference of 14 and 6.2 b: 4.49 centimeters, because height = square root of the sum of 14 and 6.2 c: 12.55 centimeters, because height = square root of the difference of squares of 14 and 6.2 d: 15.31 centimeters, because height = square root of the sum of the squares of 14 and 6.2

Step-by-step answer

P Answered by Specialist

21

C: 12.55 centimeters, because height = Square root of the difference of squares of 14 and 6.2

Step-by-step explanation:

Here the radius of the hat = 6.2 cm

And, the slant height of the hat = 14 cm

Since, By the Pythagoras theorem,

$(\text{Height})^2 = (\text{ Slant height})^2 -(\text{Radius})^2$

⇒ $(\text{Height})^2 = (14)^2 -(6.2)^2$

⇒ $(\text{Height})^2 = 196 - 38.44 = 157.56$

⇒ $\text{Height} = \sqrt{157.56}=12.5522906276\approx 12.55\text{ cm}$

Hence, Option C is correct.

Mathematics

Acone shaped hat is shown: what is the approximate height of the hat? a: 2.79 centimeters, because height = square root of the difference of 14 and 6.2 b: 4.49 centimeters, because height = square root of the sum of 14 and 6.2 c: 12.55 centimeters, because height = square root of the difference of squares of 14 and 6.2 d: 15.31 centimeters, because height = square root of the sum of the squares of 14 and 6.2

Step-by-step answer

P Answered by Master

21

C: 12.55 centimeters, because height = Square root of the difference of squares of 14 and 6.2

Step-by-step explanation:

Here the radius of the hat = 6.2 cm

And, the slant height of the hat = 14 cm

Since, By the Pythagoras theorem,

$(\text{Height})^2 = (\text{ Slant height})^2 -(\text{Radius})^2$

⇒ $(\text{Height})^2 = (14)^2 -(6.2)^2$

⇒ $(\text{Height})^2 = 196 - 38.44 = 157.56$

⇒ $\text{Height} = \sqrt{157.56}=12.5522906276\approx 12.55\text{ cm}$

Hence, Option C is correct.

Mathematics

Acone shaped hat is shown: a cone is shown with slant height 14 cm and radius 6.2 cm. the unknown height is labeled with a question mark, and the line joining the tip of the cone to the base is perpendicular to the base. what is the approximate height of the hat? 2.79 centimeters, because height = square root of the difference of 14 and 6.2 4.49 centimeters, because height = square root of the sum of 14 and 6.2 12.55 centimeters, because height = square root of the difference of squares of 14 and 6.2 15.31 centimeters, because height = square root

Step-by-step answer

P Answered by Specialist

27

if you cut the cone in half, you will see tat the slant height and te radius form the hypotonuse and one leg of a right triangle respectively

remember from the pythatorean theorem that

a^2+b^2=c^2

in this case

r^2+h^2=(slantheight)^2

so

$h=\sqrt{(slantheight)^2-(r)^2}$

subsituting

$h=\sqrt{14^2-6.2^2}$

h=12.5523cm

answer is 3rd option

Mathematics

Acone shaped hat is shown: a cone is shown with slant height 14 cm and radius 6.2 cm. the unknown height is labeled with a question mark, and the line joining the tip of the cone to the base is perpendicular to the base. what is the approximate height of the hat? 2.79 centimeters, because height = square root of the difference of 14 and 6.2 4.49 centimeters, because height = square root of the sum of 14 and 6.2 12.55 centimeters, because height = square root of the difference of squares of 14 and 6.2 15.31 centimeters, because height = square root

Step-by-step answer

P Answered by Master

27

if you cut the cone in half, you will see tat the slant height and te radius form the hypotonuse and one leg of a right triangle respectively

remember from the pythatorean theorem that

a^2+b^2=c^2

in this case

r^2+h^2=(slantheight)^2

so

$h=\sqrt{(slantheight)^2-(r)^2}$

subsituting

$h=\sqrt{14^2-6.2^2}$

h=12.5523cm

answer is 3rd option

Mathematics

Consider the following data set with a mean of 12: 9, 11, 12, 16 Using the equation below or the standard deviation formula in Excel, calculate the standard deviation for this data set. Answer choices are rounded to the hundredths place. s equals square root of fraction numerator 1 over denominator n minus 1 end fraction sum from i equals 1 to n of open parentheses X subscript i minus X with bar on top close parentheses squared end root

Step-by-step answer

P Answered by PhD

1.83

Step-by-step explanation:

Mathematics

Consider the following data set with a mean of 12: 9, 11, 12, 16 Using the equation below or the standard deviation formula in Excel, calculate the standard deviation for this data set. Answer choices are rounded to the hundredths place. s equals square root of fraction numerator 1 over denominator n minus 1 end fraction sum from i equals 1 to n of open parentheses X subscript i minus X with bar on top close parentheses squared end root

Step-by-step answer

P Answered by PhD

1.83

Step-by-step explanation:

Mathematics

3. match the following expressions or equations. 1. the sum of 12 and 3 times a number 2. sue s salary is $8.00 times the number of hours worked. 3. the perimeter of a square is 4 times the length of a side. 4. 2 less than 4 times a number 5. the product of m and 3 minus the product of n and 4 a. s = 8h b. 4n - 2 c. p = 4s d. 3m - 4n e. 12 + 3n 4. match the number on the left with the proper combination of number types on the right. 1. 5/4 2. sqrt 15 (sqrt stands for the square root of a number) 3. 15 4. zero 5. -10 a. real, rational, integer,

Step-by-step answer

P Answered by Specialist

1

3.
1 & E
2 & A
3 & C
4 & B
5 & D

4.
1 & E
2 & C
3 & A
4 & B
5 & D

5.
1. 3.002 is less than 3.02
2. -5/12 is greater than -7/12
3. 3/5 is equal to 0.6

10.
1. B
2. D
3. C
4. A

(Not 100% sure on those 4)

13.
The circumference is double the radius.
We can write this as r = C/3.14 x 2
3.14 x 2 = 6.28 and we know the circumference is 50.24
r = 50.24/6.28
r = 8

Mathematics

3. match the following expressions or equations. 1. the sum of 12 and 3 times a number 2. sue s salary is $8.00 times the number of hours worked. 3. the perimeter of a square is 4 times the length of a side. 4. 2 less than 4 times a number 5. the product of m and 3 minus the product of n and 4 a. s = 8h b. 4n - 2 c. p = 4s d. 3m - 4n e. 12 + 3n 4. match the number on the left with the proper combination of number types on the right. 1. 5/4 2. sqrt 15 (sqrt stands for the square root of a number) 3. 15 4. zero 5. -10 a. real, rational, integer,

Step-by-step answer

P Answered by Specialist

1

3.
1 & E
2 & A
3 & C
4 & B
5 & D

4.
1 & E
2 & C
3 & A
4 & B
5 & D

5.
1. 3.002 is less than 3.02
2. -5/12 is greater than -7/12
3. 3/5 is equal to 0.6

10.
1. B
2. D
3. C
4. A

(Not 100% sure on those 4)

13.
The circumference is double the radius.
We can write this as r = C/3.14 x 2
3.14 x 2 = 6.28 and we know the circumference is 50.24
r = 50.24/6.28
r = 8

Mathematics

Find the sum: 4 square root 3+11 square root 12

Step-by-step answer

P Answered by PhD

46

4√3 + 11√12 (√12 = √4 * √3 = 2√3)
= 4√3 + 22√3
= 26√3

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