Answer:
c. 112 ft
Step-by-step explanation:
the diagonal of a rectangle creates a right-angled triangle with a length and a width of the rectangle (the diagonal is the Hypotenuse or baseline).
and this means we can use Pythagoras :
c² = a² + b²
with c being the Hypotenuse (the baseline opposite of the 90° angle).
diagonal² = 100² + 50² = 10000 + 2500 = 12500
diagonal = sqrt(12500) = 111.8033989... ft ≈ 112 ft
Answer:
B) 21/9
Step-by-step explanation:
21/9 / 3/3 = 7/3
Hope this helps you out ;)
Answer:
(-3, 5)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
<u>Algebra I</u>
- Coordinates (x, y)
- Terms/Coefficients
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
y = x + 8
x + y = 2
<u>Step 2: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitute in <em>y </em>[2nd Equation]: x + x + 8 = 2
- Combine like terms: 2x + 8 = 2
- [Subtraction Property of Equality] Subtract 8 on both sides: 2x = -6
- [Division Property of Equality] Divide 2 on both sides: x = -3
<u>Step 3: Solve for </u><em><u>y</u></em>
- Substitute in <em>x</em> [1st Equation]: y = -3 + 8
- Add: y = 5
Answer:
M=-73/8
Step-by-step explanation:
Take the width of the field (90 meters) and square it. Then take the length of the field (120 meters) and square it. The you add the two squares together and then find the square root of your answer. So basically 90^2 + 120^2 = 22500. then find the square root of 22500 which is 150 meters. 150 meters is your answer.
