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2 years ago

The length of a diagonal of a large square garden is 15 yards. What is the approximate length of one side of the square garden?

1 answer:

8 0

By the pythagorean theorem the diagonal length will be:

d^2=x^2+y^2 and since this is a square x=y so

d^2=2x^2 and since d=15

225=2x^2

x^2=112.5

x=√112.5 yds

x≈10.6 yds (to nearest tenth of a yard)

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Laura is planning a party for her son. She has $50 dollars remaining in her budget and wants to provide one party favor per pers

enyata [817]

Answer:

The system of inequalities that represents this situation is:

x+y≥10

6x+4y≤50

Step-by-step explanation:

As the statement says that Laura wants to provide one party favor per person to at least 10 guests, the first inequality would indicate that the number of stuffed animals plus the number of toy trucks should be equal or greater than 10:

x+y≥10

Also, the statement indicates that miniature stuffed animals cost $6.00 each and the toy trucks cost $4.00 each and that Laura has $50. From this, you would have an inequality that indicates that 6 for the number of miniature stuffed animals and 4 for the number of toy trucks would be equal or less than 50:

6x+4y≤50

The answer is that the system of inequalities that represents this situation is:

x+y≥10

6x+4y≤50

4 0

3 years ago

Solve the system using substitution. y - 3x = 1 2y - x = 12 ([?], [])

anyanavicka [17]

Answer:

(2, 5)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

y - 3x = 1

2y - x = 12

Step 2: Rewrite Systems

y - 3x = 1

Add 3x on both sides: y = 3x + 1

Step 3: Redefine Systems

y = 3x + 1

2y - x = 12

Step 4: Solve for x

Substitution

Substitute in y: 2(3x + 1) - x = 12
Distribute 2: 6x + 2 - x = 12
Combine like terms: 5x + 2 = 12
Isolate x term: 5x = 10
Isolate x: x = 2

Step 5: Solve for y

Define equation: 2y - x = 12
Substitute in x: 2y - 2 = 12
Isolate y term: 2y = 10
Isolate y: y = 5

4 0

1 year ago

1-Describe the error in the way the calculation of the slope of the two points is set up and/or solved. Please be specific. Do n

Bad White [126]

Answer:

Please check explanations for answer

Step-by-step explanation:

Let’s have two points (5,10) and (15,20)

1. Let’s find the slope of these two points

Mathematically, the slope can be calculated using the formula;

m = (y2-y1)/(x1-x2)

So m = (20-10)/(5-15) = 10/-10 = -1

The error here is the formula used in calculating the slope

The formula should be;

m = (y2-y1)/(x2-x1) and not x1-x2

2. To calculate the slope correctly, we have;

m = (y2-y1)/(x2-x1)

So the slope will be;

m = (20-10)/(15-5) = 10/10 = 1

In the point slope form, the equation can be represented as;

y-y1 = m(x-x1)

Let’s use the point (5,10)

y- 10 = 1(x-5)

The above is the point slope form

using one of the points and the correct slope of the line

6 0

2 years ago

Which answer describes the type of sequence?

Vanyuwa [196]

Aritmetic increases by the same number

geometric has 1 number that each term is multiplied by to get the next term

4 to 9 is 5
9 to 13 is 4
not same difference

9/4=13/9?
81/36=52/36?
no

neither aritmetic nor geometric

3 0

2 years ago

Read 2 more answers

FI=6 IH=12 calculate the length of GI

Dovator [93]

$\\ \sf\longmapsto GI^2=FI(IH)$