The formula A = 1/2 S^2 expresses the area of an isosceles right
triangle in terms of the length, s, of a leg of the triangle.
Which equation expresses the length of a leg of an isosceles right
triangle in terms of the area?

Answers

Answer 1

Answer:

[tex]s = \sqrt{2a} [/tex]

Step-by-step explanation:

A = 0.5S^2

2A = S^2

Therefore,

[tex]s = \sqrt{2a} [/tex]

Answer 2

To express the length in terms of the area, is an illustration of change of subject of formula.

The equation that express S in terms of the area is: [tex]S =\sqrt{2A}[/tex]

Given that:

[tex]A = \frac 12S^2[/tex]

First, multiply both sides by 2

[tex]2 \times A = \frac 12S^2 \times 2[/tex]

[tex]2 \times A = S^2[/tex]

[tex]2A = S^2[/tex]

Take positive square roots of both sides

[tex]\sqrt{2A} = \sqrt{S^2[/tex]

[tex]\sqrt{2A} = S[/tex]

Rewrite the equation as:

[tex]S =\sqrt{2A}[/tex]

Hence, the equation that express S in terms of the area is: [tex]S =\sqrt{2A}[/tex]

Read more about subject of formula at:

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Related Questions


Which term has a coefficient of 1?

Answers

Answer:

Variables with no number have a coefficient of 1.

Step-by-step explanation: x is really 1x.

1 does i have done this before

Whats the answer to 26.02 x 2.006

Answers

Answer:

52.19612

Step-by-step explanation:

hope this helps

−5y ^2+5−4−4y^2+5y^2−4x^3 −1

Answers

Answer:

In simplified/simplest form and in descending order, your answer would be: -4x^3 - 4y^2. Hope this helps!  

The answer is -4y^2-4x^3

What is 1.4 repeating as a percent.

Answers

Answer:

140%

Step-by-step explanation:

Move the decimal over to the right two places!

:D

Answer: 140 percent I hope this answers your question!

Helpppppppppppppppp plz plz plz plz plz

Answers

Answer:

-19

Step-by-step explanation:

We know:

Samuel walks  forward 19 steps. So number is+19

We need to find:

How would he represent the opposite of this number

Answer :

Number = 19

To represent the opposite of this number Samuel should first take 19 steps back to reach his original position that is zero and then needs to move 19 steps backward to get -19.

4+(x+5)+4+(x+5)+4=48

Answers

4+x+5+4+x+5+4=48
22+2x=48
2x=48-22
2x=26
X=13


pls help ASAP
Which number is missing from the prime factorization of 348?2 x ____ x 3 x 29

A. 2
B. 3
C. 5
D. 7

Answers

Answer: The answer is A. 2.

Answer:    your answer is A

PLSSS HELPPPPP I WILL GIVE BRAINLIESTTTT!!!!!!!

Answers

Answer:

Step-by-step explanation:

We can form a table for the relation between muffins sold and days of the week given in the graph.

Days                    Muffins sold

Monday                       5

Tuesday                      6

Wednesday                 5

Thursday                     8

Friday                          10

Saturday                      13

Sunday                        15

This data reflects the sales of muffins are increasing continuously in the given week.

Therefore, number of muffins sold are directly proportional to the number of days of the week.

Convert 1.9647 to a percent.

Answers

Answer:

196.47%

Step-by-step explanation:

1 is 100

So the rest just add in

1.9647 as a percent = 196.47% . Hope this helped!

evaluate the expression for the given value of the variable 9 | 9 -8x | = 2x + 3

Answers

Steps to solve:

9|9 - 8x| = 2x + 3

~Divide 9 to both sides

|9 - 8x| = 2/9x + 1/3

~Solve absolute value (part one)

|9 - 8x| = 2/9x + 1/3

-74/9x + 9 = 1/3 (Subtracted 2/9x to both sides)

-74/9x = -26/3 (Subtracted 9 to both sides)

x = 39/37 (Multiplied 37/39 to both sides)

~Solve absolute value (part two)

|9 - 8x| = -(2/9x + 1/3)

|9 - 8x| = -2/9x - 1/3 (Distributed negative sign to left side)

-70/9x + 9 = 11/3 (Added 2/9x to both sides)

-70/9x = -28/3 (Subtracted 9 to both sides)

x = 6/5 (Multiplied 9/-70 to both sides)

Therefore, the solutions are x = 39/37 and x = 6/5

Best of Luck!

bob lives 5 miles south and 17 miles east of ana how far are their houses apart

Answers

Answer:

22 miles they travelled

simplify the equation (2x³) (x⁴)² / 8x¹¹

Answers

Answer:

Hey there!

(2x³) (x⁴)² / 8x¹¹

2x^3(x^8)/8x^11

2x^11/8x^11

1/4

Let me know if this helps :)

What are the possible steps involved in solving equation shown ?
3.5 + 1.2(6.3-7x) =9.38

Answers

Answer:

x = 0.2

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Write out equation

3.5 + 1.2(6.3 - 7x) = 9.38

Step 2: Parenthesis (distribute)

3.5 + 7.56 - 8.4x = 9.38

Step 3: Combine like terms (constants)

11.06 - 8.4x = 9.38

Step 4: Subtract 11.06 on both sides

-8.4x = -1.68

Step 5: Divide both sides by -8.4

x = 0.2

do you know the awnser to 4(-8x+5)-(-33x-26)=

Answers

Answer:

x+46

Step-by-step explanation:

-32x+20+33x+26=

x+20+26=

x+46

Answer:

x +46

Step-by-step explanation:

4(-8x+5)-(-33x-26)=

Distribute

-32x+20 +33x +26

Combine like terms

x +46

Which number is rational?Which number(s) below belong to the solution set of the inequality? Check all that apply. x + 6 < 38 A. 31 B. 26 C. 88 D. 44 E. 32 F. 70

Answers

Answer:

A. 31 and B. 26

Step-by-step explanation:

In order for x+6<38 to be true, we need to find the maximum number x can be. So we move 6 to other side which gives us x<32

Of the options A. 31 and B. 26 are the only ones that are less that 32. E. 32 does not count because x must be less than 32, not equal to it.

Hope this helped!

23.A chef ordered 400 pounds of potatoes in same-sized bags. Which expressions show
the number of bags and number of pounds of potatoes per bag the chef may have
ordered? Choose all that apply.
E 50 x 80
80 x 5
B 10 x 40
0 20 x 20
© 20 x 20

Answers

Answer:

10*40

80*5

20*20

Step-by-step explanation:

20*20=400

80*5=400

10*40=400

A designer found the area of a wall to be 5.0 square yards. What is the area of the wall in square meters?hhhshxhxhd

Answers

Step-by-step explanation:

ᑎⓄ丂  Ä ɆⓇᗪαⒹ Ⓔ   ʇ  ƬⒶ℟Å    ฿ⓇØ

Layla uses 1.75 cups of sugar per batch of cookies. How many cups of sugar would she require to bake 9 batches of cookies?

Answers

Answer:

15.75 cups

Step-by-step explanation:

If she uses 1.75 cups each batch to find how much she uses for 9 batches you just multiply 1.75 by 9 which gives you 15.75 cups

Rita bakes pies at The Corner Bakery. The number of pies she can bake, x, is limited by the ingredients
they have in stock. This situation is represented by the compound inequality 2x - 3 < 7 and 5 - x < 8.
Solve the compound inequality and select all the viable solutions.
-2 pies
2 pies
1 pie
O pies
-1 pies
-3 pies
5 pies
6 pies
4 pies
3 pies

Answers

Answer:

The solution for the inequality is -3< x <5

The viable solutions are;

-2 pies, -1 pies, 0 pies, 1 pie, 2 pies, 3 pies, and 4 pies

Step-by-step explanation:

The given inequalities are;

2·x - 3 < 7 and 5 - x < 8

Therefore, we have;

2·x - 3 < 7

2·x < 7 + 3

2·x < 10

x < 5

From the other inequality, we have;

5 - x < 8

-x < 8 - 5 = 3

-x < 3

-x/(-1) > 3/(-1)  

x > -3

Therefore, the solution for the inequality is given as follows;

-3< x <5

The possible values are;

-2 pies, -1 pies, 0 pies, 1 pie, 2 pies, 3 pies, and 4 pies.

determine sen 0 y tan 0,si 0= 2/3 y cot 0>0

Answers

Answer:

the answer of your question is 0

Step-by-step explanation:

the answer is 0

Solve 10-13 find each measurement

Answers

Answer:

10)17.5

11)18

12)70

13)110

Problem 10

Answer: RS = 17.5

This is because the opposite sides of any parallelogram are congruent (PQ = RS and QR = PS)

======================================

Problem 11

Answer: QT = 18

Diagonal QS is cut in half (bisected) by the other diagonal PR. The smaller pieces QT and ST are the same length.

======================================

Problem 12

Answer: angle PQR = 70 degrees

The angle QRS is given to be 110 degrees. Angle PQR adds to this to get 180, so we effectively solve x+110 = 180 to get x = 70. Any pair of adjacent angles of any parallelogram are supplementary.

======================================

Problem 13

Answer: 110 degrees

Opposite angles of a parallelogram are congruent. Angle SPQ is opposite of angle QRS = 110.

Carina begins to solve the equation Negative 4 minus two-thirds x equals negative 6 by adding 4 to both sides. Which statements regarding the rest of the solving process could be true? Select three options. After adding 4 to both sides, the equation is Negative two-thirds x equals negative 2. After adding 4 to both sides, the equation is Negative two-thirds x equals negative 10. The equation can be solved for using exactly one more step by multiplying both sides by Negative three-halves. The equation can be solved for x using exactly one more step by dividing both sides by Negative two-thirds. The equation can be solved for x using exactly one more step by multiplying both sides by Negative two-thirds.

Answers

Answer:

options 3 and 4 are correct

Step-by-step explanation:

And form the remainder of the problem, you isolate x by just multiplying by the negative reciprocal, which is -3/2, or just dividing by the number in front off x, which is -2/3, which makes statements three and four true. so this makes this three and four options

I hope this helps you :)

-KeairaDickson

Two options namely " After adding 4 to both sides, the equation is negative two-thirds negative 2" and the statement " the equation can be solved for x using exactly one more step by multiplying  both sides by Negative three-halves."

What is a linear equation?

A linear equation is an algebraic equation where each term has an exponent of 1 and when this equation is graphed, it always results in a straight line. This is the reason why it is named as a 'linear equation'.

Given here  -4-2/3x +4=-6+4

                 ⇒-2/3x = -2

                 ⇒ -2/3x ×3/2 = -2 ×3/2

                 ⇒ x = 3

Hence the final answer is 3.

Learn more about linear equations here:

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#SPJ5

Find the sum of 4x2 – 7 and 6x2 – 5.

Answers

Answer:

the answer is 1 and 7

Step-by-step explanation:

4 times 2 is 8 -7 =1

6 times 2 =12 -5 =7

Answer:

First problem equals 1 and second problem equals 7.

First multiply 4x2 to get 8, then subtract it by 7.  That would leave you with 1.

Now, 6x2 would be 12 minus 5 which would equal 7.

You have $55 in your bank account, and you would like to buy a new phone for $395. You can save $5 for each hour you work. How many hours must you work to buy it?

Answers

Answer:

(At least) 68 hours

Step-by-step explanation:

So we already have $55 in our bank account.

And we earn $5 per hour.

In other words, the total amount of money in our account after working x hours is represented by the equation:

[tex]y=5x+55[/tex]

We want to buy a new phone that costs $395. To find out how many hours we need to work, substitute 395 for y. Thus:

[tex]395=5x+55[/tex]

Subtract 55 from both sides:

[tex]340=5x[/tex]

Divide both sides by 5:

[tex]x=68[/tex]

Therefore, we must work for (at least) another 68 hours in order to earn enough money to purchase the phone.

You found hardwood flooring priced by the square foot. To find the price per square yard, you should do which of the following.

a.) Divide the price per square foot by 9
b.) Multiply the price per square foot by 3
c.) Multiply the price per square foot by 9
d.) Divide the price per square foot by 3 ​

Answers

Answer:

D. Divide the price per square foot by 3 ​

Step-by-step explanation:

1 foot = 0.333333 yard

price per square yard of the hardwood = price per square foot / 3

For instance, If the price per square foot is $900, then the price per square yard is

price per square yard of the hardwood = price per square foot / 3

= 900 / 3

= 300

price per square yard of the hardwood = $300

determine the quotient of 1 2/3 ÷ 4/5​

Answers

Answer:

The desired quotient is 25/12.

Step-by-step explanation:

Rewrite 1 2/3 as an improper fraction:  5/3.

Then divide this 5/3 by 4/5:

 5

------ ÷ 4/5

  3

It's easier (but completely correct) to invert the divisor (4/5) and then multiply 5/3 by (5/4):

  5       5       25

----- *  ----- = ------

  3        4       12

38 + − 21 = ???????????????????????????

Answers

Answer:

17

Step-by-step explanation:

Answer:

38 - 21 = 17.

Step-by-step explanation:

because - + = - ....

Hope it helps you..

Thanks

.

A basketball court is shaped like a rectangle 20 meters long and 10 meter
wide? What is the area of the court?

Answers

Answer:

200 squared meters.

Step-by-step explanation:

Since we know the court is a rectangle, we can use the formula for the area of a rectangle:

[tex]A=lw[/tex]

Where l is the length and w is the width.

We are given that the length is 20 meters and the width is 10 meters. Substitute:

[tex]A=20(10)[/tex]

Multiply:

[tex]A=200\text{ meters}^2[/tex]

So, the area of the court is 200 squared meters.

what is -5 + (-10) = ? solve answer this problem

Answers

-5+-10 can also be written as -5-10.

An easy way to do it(this is how I solve it) is to add it like 5+10 then slappa a negative sign in front.

5+10=15

-15

hope it helps!

Pls help solve the equation

Answers

Answer:

34 boxes

Step-by-step explanation:

Please see attached picture for full solution.

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