Solve for s: h=(square root of 3)times s/2
and
solve for h
V= (pi)r squared h / 3
Solve for s:
h=(square root of 3)times s/2
Multiply both sides by 2.
2h = (sqrt 3)*s*2/2 which cancels the 2 on the right.
2h = (sqrt 3)*s
Now divide the right side by everything except what you want to keep; in this case, divide by (sqrt 3).
2h/(sqrt 3) = (sqrt 3)*s/(sqrt 3) which eliminates the (sqrt 3) on the right leaving just s.
2h/(sqrt 3) = s.
The second problem will be done the same way. Try your hand and we shall be happy to check your work. Just remember that you must do the same operation to both sides. I hope this helps. A note here:
Some teachers "will not allow" us to keep a sqrt sign in the denominator. If your teacher is one of those, you eliminate the sqrt sign by multiplying both sides by (sqrt 3)/(sqrt 3) [which of course is simply 1/1] or
2h*(sqrt 3)/(sqrt 3*sqrt 3)= s and
2h*(sqrt 3)/3 = s.
 👍
 👎
 👁
 ℹ️
 🚩
Answer this Question
Related Questions

Math
1. Rosa, Roberto, Andrea, and Inno find an estimate for square root 10. Who has proposed the best solution? (1 point) Rosa: "Use square root 9 and square root 25 to estimate." Roberto: "I will use square root 4 and square root 9." Andrea: "It should be

math
2. sylvia has 6 1/2 boxes of chocolate to share at a family picnic. if she gives each person 1/3 of a box, how many people can receive chocolate? 13 17 19 21 3.which of these numbers is not rational? square root 3 0.25 1/5 square root 9 4. a student's work

Math Help!!!
1. Which of these numbers can be classified as both real and rational? ½ 1.016879413894 Square root of 5 0.89089908999 2. Which is both a real number and an integer? Square root of 7 0.15 15 1/3 3. Which is an example of an irrational number? Square

ALGEBRA WORD PROBLEM! HELP!
And if a length of a rectangle is 3 more than twice the width and the are is 90 cm squared than what are the dimensions of the rectangle? The width of the rectangle is 43.5 and the length of the rectangle is 87. All together when you add it up it will make

Math
Simplify 3 square root of 5 end root minus 2 square root of 7 end root plus square root of 45 end root minus square root of 28. A.2 square root of 12 B.2 square root of 2 C.6 square root of 5  4 square root of7 D.6 square root of 10  4 square root of 14

algebra
What is the simplified form of 3 Start Root 5 c End Root times Start Root 15 c cubed End root? A. 15 c squared Start Root 3 End Root B. 6 c squared Start Root 5 End Root C. 5 c squared Start Root 3 End Root D. 12 c superscript 4 baseline Start Root 5 End

Algebra
My answer *** What is the product of (–6.8)2? a. –13.6 b. 46.24*** c. –46.24 d. 13.6 2. Simplify the expression  Square root 196 . a. 98 b. –14*** c. 14 d. 392 3. Simplify the expression square root 100/49 . a. 10/7 b. 17*** c. 5/7 d. 20/7 4. Find

math
1. Which of the following numbers is a rational? A. 4/5 B. square root of 27 C. 4.02002000200002... D. Square root of 31 2. Which type of number is shown below? 0.313311333111... A. repeating decimal B. rational C. irrational D. terminating decimal 3.

Math HELP!
Rosa, Roberto, Andrea, and Inno find an estimate for square root 10. Who has proposed the best solution? A. Rosa: "Use square root 9 and square root 25 to estimate." B. Roberto: "I will use square root 4 and square root 9." C. Andrea: "It should be square

Math ~CHECK MY ANSWER~
1) Which of these is a rational number? a. Pi b. Square root 3 ****** c. Square root 2 d. 1.3 (the # 3 has a line at the top) 2) Which of the following sets contains 3 irrational numbers? a. Square root 120 , n , Square root 3 ****** b.  Square root 256 ,

prealgebra
Which two square roots are used to estimate Start Root 8 End Root? A. Square Root 2 and Square Root 3 B. Square Root 3 and Square Root 4*** C. Square Root 4 and Square Root 9 D. Square Root 9 and Square Root 16

Algebra
1.What is the sum of 5/6 + 2/3? (1 point) MY ANSWER C. a.1 1/3 b.1 1/2 c.1 2/3 d.1 3/4 2.Sue needs 2 1/3 cups of flour for a batch of cookies.How many complete batches can she make with 10 cups of flour? (1 point) MY ANSWER D. a.5 batches b.3 batches c.2

math
Four students work to find an estimate for square root 37. Who is closest to finding the true estimate? (1 point) Rhonda: "Use square root 16 and square root 25 to estimate." Ricardo: it should be between square root 25 and square root 36." Riley: "i use

PreAlgebra
8. Mark needs to cut a piece of glass to replace a broken window. He has four pieces of glass: 6 feet long, 5 feet long, 3 feet long, and 7 feet long. If the length of the glass he needs to cut is square root 20 feet long, which piece of glass should he

math
1. Rosa, Roberto, Andrea, and Inno find an estimate for the square root of 10. Who has proposed the best solution? a. Rosa: "Use the sqaure root of 9 and the square root of 25 to estimate." b. Roberto: "I will use the square root of 4 and the sqaure root

algebra
Solve the formula for the variable given. P = rc/n solve for c. (business) I have worked this problem so many times I'm getting confused. please help. Thanking you in advance

Math/Physics
The velocity v of a particle moving in the xy plane is given by v = (6.0t  4.0t2) i + 4.0 j, with v in meters per second and t (> 0) is in seconds. What is the acceleration when t = 3.0 seconds? When is the acceleration zero? When is the velocity zero?

Geometry
An isosceles right triangle has an area of 98cm squared. Find the length of each leg. The formula of finding the area of a triangle with one right angle is: (b x h)/2 You know that an isoceles triangles has two equal sides. Those equal sides are the base

math
the sum of a number and 3 times that number is 76. what is that number? PLEASE HELP ME I DON'T GET IT!!!!!!!! Mathematics is a language, so translate the English into "math" let the number be x "the sum of a number and 3 times that number is 76", .... what

algebra
Which shows the expressions in the order they would appear on a number line from least to greatest? 17 over 9, square root of 6, square root of 15, square root of 30, 3 to the power of 3 3 to the power of 3, square root of 30, square root of 15, square
Still need help?
You can ask a new question or browse existing questions.