Answer:
1. Use the integer multiplication facts in their integer bubble to create six related integer division facts.
2.The quotient of any two integers (with a nonzero divisor) will be a rational number. If and are integers, then - (p/q)= (---)=(----)
3. Mrs. McIntire, a seventh-grade math teacher, is grading papers. Three students gave the following responses to the same math problem: 1/-2 -(1/2) -1/2
4.On Mrs. McIntire’s answer key for the assignment, the correct answer is −0.5. Which student answer(s) is (are) correct? Explain.
Step-by-step explanation:
Answer:
θ = 49.4584°
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Trigonometry</u>
- [Right Triangles Only] SOHCAHTOA
- [Right Triangles Only] cosθ = adjacent over hypotenuse
- Inverse Trig
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify variables</em>
Angle θ = ?
Adjacent Leg = 13
Hypotenuse = 20
<u>Step 2: Find Angle</u>
- Substitute in variables [cosine]: cosθ = 13/20
- Inverse Trig: θ = cos⁻¹(13/20)
- Evaluate: θ = 49.4584°
Answer:
x>=35
Step-by-step explanation:
-4(x+10)>= -7x + 65
-4x-40>= -7x+65
-4x+7x>=65+40
3x>=105
x>=105/3
x>=35
Answer:
x<3 and x≥5
Step-by-step explanation:
Look at the circles and what is shaded on the number line. The first circle is at x=3, and it's an open circle. An open circle means that the interval does not include that point. The arrow is going to the left, meaning x < 3.
The next circle is at x=5. It is a closed circle, so the interval does include that point (so draw a bar under the less than/greater than sign). Next, notice how the arrow is pointing to the right. That means that the blue area is at x=5 and greater than x=5, so x≥5.
