Unit Activity: Advanced Functions
39.25 square inches
314 square inches
157 square inches
274.75 square inches of pizza are remaining. Option A is the correct option.
What is π in math?
The ratio of a circle's diameter to its circumference, or "pi," is a mathematical constant that is roughly equal to 3.14159 (/pa/; also written as "pi"). Numerous mathematical and physics formulas contain the number. It is an irrational number, meaning that although fractions like 22/7 are frequently used to approximate it, it cannot be expressed exactly as a ratio of two integers.
Given that, the diameter of large pizza is 20 inches.
The radius of a circular shape is half of the diameter.
The radius of the pizza is (20 inches)/2 = 10 inches.
Area of a circular shape is ∏r² .
The area of the pizza is 3.14×10² = 314 in²
The total part of the pizza is considered as 1.
One-eighth of the pizza is eaten, and the remaining portion is (1-1/8) = 7/8.
The area of remaining pizza is
314 in² × (7/8)
= 274.75 square inches
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Answer:
Two legs are 7.0534230 and 9.708203932.
The acute angle is 54 degrees.
Step-by-step explanation:
For the legs, you can use these two formulas:
12*cos(36)
12*sin(36)
(Make sure you put the 36 in degrees)
For the acute angle, 90-54=36 degrees.
Answer:
The answer to your question is:
acute angle = 54°
legs 7 m y 9.7 m
Step-by-step explanation:
Data
Hypotenuse = 12 m
acute angle = 36° = a
acute angle 2 = ? = b
lengths of legs= ?
Process
The sum of the internal angles on a triangle equals 180°
a + b + 90 = 180
36 + b + 90 = 180
b = 180 - 126
b = 54°
sin Ф = opposite leg / hypotenuse
opposite leg = hypotenuse x sin Ф
opposite leg = 12 x sin 36
opposite leg = 7 m
Pythagorean theorem
c² = a² + b²
a² = c² - b²
a² = 12² - 7²
a² = 144 - 49
a ² = 95
a = 9.7 m
Bombur’s salary increased by: . dollars
Answer:
To find out whose salary increased more in absolute terms, we'll calculate the absolute increase for each person.
For Sneezy:
Initial salary = $2500
Final salary = $4522
Sneezy's salary increased by:
Absolute increase = Final salary - Initial salary
Absolute increase = $4522 - $2500 = $2022
For Bombur:
Initial salary = $4000
Final salary = $6700
Bombur's salary increased by:
Absolute increase = Final salary - Initial salary
Absolute increase = $6700 - $4000 = $2700
Now, comparing the absolute increases:
Sneezy's salary increased by $2022.
Bombur's salary increased by $2700.
So, Bombur's salary increased more in absolute terms.
Step-by-step explanation:
of the rectangle?
I’ll mark you!
Answer:
18 square units
Step-by-step explanation:
The area of a rectangle is simply it's base length multiplied by its height.
A = b × h
Since a rectangle has all right angles, it must have two sets of parallel sides.
Given the coordinates (0, 0), (3, 0), (0, 6) which are vertices of the rectangle. You can find the distance between each point to get the side length and then multiply the two side lengths together.