Answer:
shaded area = 113.64 cm²
Step-by-step explanation:
To find the shaded area, subtract the area of the circle from the area of the triangle.
Area of a triangle = 1/2 x base x height
⇒ area of triangle = 1/2 x 25 x 21.4 = 267.5 cm²
Area of a circle = (where r is the radius)
From inspection, we can see that the diameter of the circle = 14 cm
Therefore, as the diameter = 2r, then r = 14 ÷ 2 = 7 cm
⇒ area of circle = 3.14 x 7² = 153.86 cm²
Shaded area = area of triangle - area of circle
⇒ shaded area = 267.5 - 153.86 = 113.64 cm²
<h2>(x, y) = (x, 2 + 5/6 x)</h2>
Step-by-step explanation:
-5x + 6y = 12
y = 5/6x + 2
<h2>_______________</h2>
-5x + 6y = 12
-5x + 6(5/6x + 2) = 12
-5x + 5x + 12 = 12
x real numbers
(x, y) = (x, 2 + 5/6 x)
Answer:
X=8 degrees
Step-by-step explanation:
We know that the straight line is 180 degrees and (13x+1)+(7x+19) is equal to 180 degrees (the line) so just solve :)
Hope this helps! attachment for work.
Answer:
x ≈ 41.4°
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtract Property of Equality
<u>Pre-Calculus</u>
- Law of Cosines: c² = a² + b² - 2(a)(b)cosC°
Step-by-step explanation:
<u>Step 1: Identify Variables</u>
C° = x°
c = 12
a = 15
b = 18
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute [LC]: 12² = 15² + 18² - 2(15)(18)cosx°
- Exponents: 144 = 225 + 324 - 2(15)(18)cosx°
- Add: 144 = 549 - 2(15)(18)cosx°
- Multiply: 144 = 549 - 540cosx°
- Isolate <em>x</em> term: -405 = -540cosx°
- Isolate <em>x</em> term: 3/4 = cosx°
- Isolate <em>x</em>: cos⁻¹(3/4) = x°
- Evaluate: x = 41.4096°
- Round: x ≈ 41.4°
Answer:
here is the answer
Step-by-step explanation:
i needed the extra words to publish but look at the image