Answer:
f(-5) = -81
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = -x² + 10x - 6
f(-5) is x = -5
<u>Step 2: Evaluate</u>
- Substitute: f(-5) = -(-5)² + 10(-5) - 6
- Exponents: f(-5) = -(25) + 10(-5) - 6
- Multiply: f(-5) = -25 - 50 - 6
- Subtract: f(-5) = -75 - 6
- Subtract: f(-5) = -81
Answer:
Step-by-step explanation:
The volume of the pyramid = (1/3)*area of base *height
= (1/3)*10*24*13 = 1040 cubic units.
The total surface area = area of rectangular base + area of 2 isosceles triangles with a base of 24 units + area of 2 isosceles triangles with a base of 10 units.
Area of rectangular base = 24*10 = 240 sq units.
The slant height of isosceles triangles with a base of 24 units = [(10/2)^2+13^2]^0.5 = [25+169]^0.5 = 194^0.5 = 13.92838828 units.
The area of 2 isosceles triangles with a base of 24 units 2*24*13.92838828/2 = 334.2813187 sq units.
The slant height of isosceles triangles with a base of 10 units = [(24/2)^2+13^2]^0.5 = [144+169]^0.5 = 194^0.5 = 17.69180601 units.
The area of 2 isosceles triangles with a base of 10 units 2*10*17.69180601/2 = 176.9180601 sq units.
The total surface area of the pyramid = 240 + 334.2813187 + 176.9180601 = 591.9731247 sq units.
Answer:
Angle B is 41 degrees
Step-by-step explanation:
1) find the supplement of the 113 degree angle; it is 180-113, or 67, degrees.
2) recognizing that the sum of the interior angles of a triangle is 180 degrees, add up 67 and 72 degrees, obtaining 139 degrees, and subtract this sum from 180 degrees:
180 degrees - 139 degrees = 41 degrees (answer)
The steps are outlined above; the end result is that <B is 41 degrees.
Answer:
.52
Step-by-step explanation:
its only a little bit over a 50% chance to get a front pocketed jean, then to also have back pockets is under 50% chance so when you even those it comes to .52
