L x W = 105
L + W = 26 so L = 26 - W
substitute L = 26 - W into L x W = 105
(26 - W) x W = 105
26W - W^2 = 105
W^2 - 26W + 105 = 0
(W - 21)(W - 5) = 0
W - 21 = 0; W = 21
W - 5 = 0; W = 5
The the dimensions of the rectangle are 5 ft and 21 ft.
Double check:
The sum of the length and the width is 26 feet: 21 + 5 = 26 feet
A rectangle has an area of 105 square feet: 21 x 5 = 105 square feet
Answer:
43
Step-by-step explanation:
Area for rectangle is A=b×h
You can only multiply radicals with other radicals so... √17×√68= √1156
Simplify radical
√1156= 34
Then add 9
34+9= 43
Answer:
<h2>A) 5</h2>
Step-by-step explanation:
The equation of a circle:
(h, k) - center
r - radius
We have the equation:
<em>divide both sides by 3</em>
Answer:
x=-3
Step-by-step explanation:
Hi there!
<u>1) Determine the slope</u>
Parallel lines always have the same slope. However, the given line x=8 is a vertical line organized in the form x=d, where d is the x-intercept. Therefore, the slope is undefined, and our line will also have an undefined slope.
Now, because this line will also be a vertical line, it will also be organized like:
x=d
<u>2) Determine the x-intercept (d)</u>
Note that all the points a vertical line passes through will have the same x-coordinate. We're given that this line passes through the point (-3,-2), so therefore, the x-intercept will be (-3,0).
Plug this into x=d:
x=-3
I hope this helps!
Answer:
V = 100.531 cm³
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Geometry</u>
- Volume of a Cylinder: V = πr²h
Step-by-step explanation:
<u>Step 1: Define Variables</u>
r = 2 cm
h = 8 cm
<u>Step 2: Find Volume</u>
- Substitute [Volume]: V = π(2 cm)²(8 cm)
- Exponents: V = π(4 cm²)(8 cm)
- Multiply: V = π(32 cm³)
- Multiply: V = 100.531 cm³
