[1]
A1 = (h (a + b)) / 2
A1 = (21 (17 + 32)) / 2
A1 = (21 x 49) / 2
A1 = 1,029 / 2
A1 = 514.5 mm²
[2]
A2 = (b x h) / 2
A2 = (11 x 9) / 2
A2 = 99 / 2
A2 = 49.5 mm²
[3]
The area of the shaded region =
A1 - A2 =
514.5 mm² - 49.5 mm² =
465 mm²
The answer is 465 mm².
Answer:
She can make 10 pizzas.
Step-by-step explanation:
8 1/3=25/3
(25/3)/(5/6)=(25/3)(6/5)=150/15=10
Answer:
The simplified expression is
20x^2 - 33x - 27
Step-by-step explanation:
(6x - 9 - 2x)(8 + 5x - 5)
We must first rewrite the expression as a product of two binomials.
This can be done by adding like terms
(6x - 9 - 2x)(8 + 5x - 5)
We have,
(4x-9)(5x+3)
Multiplying the resulting binomial expression
(4x-9)(5x+3)
(20x^2+12x-45x-27)
Add the like terms
20x^2-33x-27
The simplified expression is
20x^2 - 33x - 27
Twenty x squared minus thirty-three x minus twenty-seven
Answer: 21°
Step-by-step explanation:
Since angles DAE and CBE are inscribed on arc AC, they r equal
Hence angle CBE = 42°
So angle DAE = 42/2 = 21°
Answer:
x = 3
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 Equation</u>
4x + 9 = 2x + 15
<u>Step 2: Solve for </u><em><u>x</u></em>
- Subtract 2x on both sides: 2x + 9 = 15
- Subtract 9 on both sides: 2x = 6
- Divide 2 on both sides: x = 3
<u>Step 3: Check</u>
<em>Plug in x into the original equation to verify it's a solution.</em>
- Substitute in <em>x</em>: 4(3) + 9 = 2(3) + 15
- Multiply: 12 + 9 = 6 + 15
- Add: 21 = 21
Here we see that 21 does indeed equal 21.
∴ x = 3 is the solution to the equation.