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:
0.38 and 0.7 maybe it's the answer
Step-by-step explanation:
power of 10 in above questions are 2 and 3 respectively
7.5 %
Step-by-step explanation:
We by finding how far from the mean the 999 volume caps are, using z score;
Z = (x – μ) / σ
Z = (999 – 998) / 7
Z = 0.143
We use the z-table to find the confidence levels;
= 85%
= 0.85
Since we are finding proportion of bottles have volumes greater than 999
mL;
1 – .85 = .15
0.15/2 = 0.075
= 7.5%
Use the quadratic equation to solve this (image of the quadratic equation is below)
Remember that quadratic functions are set up like so:
To make the equation 3x² + 4x = -8 into a quadratic function you must bring -8 to the left side of the equation so it equals zero. To do this add 8 to both sides
3x² + 4x + 8= -8 + 8
3x² + 4x + 8 = 0
That means that in this equation...
a = 3
b = 4
c = 8
^^^Plug these numbers into the quadratic equation and solve (Keep in mind that +/- is ±
)
^^^There is no real solution to this equation. You must have an imaginary solution
Simplify
Hope this helped!
~Just a girl in love with Shawn Mendes
The area formula for a triangle is 1/2 (base * height)