Answer:
None
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define</u>
2x < -10
<u>Step 2: Solve for </u><em><u>x</u></em>
- Divide 2 on both sides: x < -5
Here we see that any value <em>x</em> smaller than -5 would work as a solution.
<u>Step 3: Identify</u>
<em>Answer choices.</em>
I. -2
II. 2
III. 10
We see that none of these numbers are less than -5. Therefore, non of the answer choices are correct.
This is an awful question. They mean to say the number of hours practicing <em>per week</em> (we'll call it h) varies inversely with the <em>time</em> (t) she runs her event. Unless they mean to imply more practicing makes Tyler slower, in which case she should just get a pizza.
Inverse variation means the product is a constant, we'll call it k.
ht = k
When h = 1 hour t=6 minutes
(1)(6) = k
k = 6 (hour*minutes, but as long as we're consistent we don't need to sweat the unit.)
Decreasing her time by one minute means t = 6 - 1 = 5. We solve for h.
ht = k
h = k/t = 6/5 = 1.2 hours
Answer: 1.2 hours, second choice
Answer:
6.1
Step-by-step explanation:
Draw a picture of an equilateral triangle. Cut the triangle in half, so that you get two 30-60-90 triangles. The area of these smaller triangles is 8 square inches.
The short leg of these triangles (the base) is half the side length: ½ s.
According to properties of 30-60-90 triangles, the long leg (the height) is √3 times the short leg: ½ s√3.
Area of a triangle is half the base times the height:
A = ½bh
8 = ½ (½ s) (½ s√3)
8 = ⅛ s²√3
64 = s²√3
s² = 64/√3
s = √(64/√3)
s ≈ 6.1
Answer:
ccccc
Step-by-step explanation:
Hello,
When you have a polygon inscribed in a circle, the opposite angles are supplementary.
So we can start by saying that A + C = 180. Or x + 3x = 180. This gives us a value of 45 for x.
If we input that in for angle B, we get: 2(25) - 10 = 80.
If angle B = 80, then angle D must be 100, because the angles are supplementary.
Good luck,
MrEQ
