Answer:
Step-by-step explanation:
On a unit circle, the only points where y = 
have an x coordinate of or 
. Since only one of those is an option, the answer is .
6a² + 7ax - 3x²
6a² + 9ax - 2ax - 3x²
3a(2a) + 3a(3x) - x(2a) - x(3x)
3a(2a + 3x) - x(2a + 3x)
(3a - x)(2a + 3x)
Answer:
This question seems to be incomplete, I guess that we have a circular pool, with a diameter of 3.5 m.
Now, the circunference of a circle can be written as:
C = 2*pi*r
where:
pi = 3.14
r = radius = half of the diameter = 3.5m/2 = 1.75m
Then replacing those values in the equation for the circumference we have:
C = 2*3.14*1.75m = 10.99 m.
And knowing that the value of pi is actually larger than 3.14 (pi = 3.1415926535....)
We can safely round up the circumference to the next whole number, C = 11m
Answer:
l = 29.4 yards
w = 66.8 yards
General Formulas and Concepts:
- Order of Operations: BPEMDAS
- Perimeter of a Rectangle: P = 2w + 2l
Step-by-step explanation:
<u>Step 1: Define</u>
P = 163 yards
w = 2l + 8
l = l
<u>Step 2: Set up equation</u>
P = 2w + 2l
163 = 2(2l + 8) + l
<u>Step 3: Solve for </u><em><u>l</u></em>
- Distribute 2: 163 = 4l + 16 + l
- Combine like terms: 163 = 5l + 16
- Subtract 16 on both sides: 147 = 5l
- Divide both sides by 5: 147/5 = l
- Rewrite: l = 147/5
- Evaluate: l = 29.4 yards
<u>Step 4: Find </u><em><u>w</u></em>
- Define: w = 2l + 8
- Substitute: w = 2(29.4) + 8
- Multiply: w = 58.8 + 8
- Add: w = 66.8 yards
Answer: the probability that the hospital's capacity will be exceeded = 0.035
Step-by-step explanation:
Shown in the attachment.
