Answer:
A. = 20 in²
B. = 45 ft²
C. = 29.5 ft²
D. = 36 ft²
E. = 28 ft²
Step-by-step explanation:
A. Formula = A = (h_b b)/2 = base 10 ft height_b= 4ft = 20 ft²
B. We have a rectagnle and a triangle: Formula: A = lw
= A = 30 ft² and now the triangle with the same formula as above: A = 15 ft²
30 ft²+15 ft² = 45 ft²
C. we have 2 rectagnle and a triangle: First the small recangle: A= lw = A = 1ft x 2ft = 2ft²
Second rectangle: 5 ft x 4 ft = 20 ft²
Right angeled triangle Formula: (ab)/2 = 3 ft x 5 ft = 7.5 ft²
Add it all together: 2ft²+20ft²+7.5ft² = 29.5 ft²
D. is a rectangle and a triangle: 8 ft x 3 ft = 24ft²
the triangle 8 ft x 2ft = 12 ft²; add 24 ft²+12 ft² = 36ft²
E. is a right-angled triangle (see fromula above) = (14 ft x 4 ft)/2 = 28ft²
Answer:

General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra II</u>
- Distance Formula:

Step-by-step explanation:
<u>Step 1: Define</u>
Point (-1, 4)
Point (1, -1)
<u>Step 2: Find distance </u><em><u>d</u></em>
Simply plug in the 2 coordinates into the distance formula to find distance <em>d</em>
- Substitute [DF]:

- Add/Subtract:

- Exponents:

- Add:

Since there are lot of problems here, which involve a bit of steps, I decided to make each problem its own image attachment to show the steps and final answer. So I have attached five image attachments below.
Let me know if you have any questions. Also please let me know if any of the images don't load properly.
Answer B) 265 miles
She has driven 75 miles per hour for 3 whole hours. To find the miles she has driven multiple the miles per hour and the amount of time she has driven. This is 225.
Then she drove 40 miles per hour for only 1 hour. She only drove 40 miles. Add 225 + 40. This gives you 265 miles.