Pythagoras' theorem, is a basic relationship between the three sides of a right triangle in Euclidean geometry. The length of side c is 4√2 units.
<h3>What is Pythagoras theorem?</h3>
The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between the three sides of a right triangle in Euclidean geometry. The size of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides, according to this rule.
Given the length of a is 4 units, while the length of b is 4 units. Therefore, the length of side C is,
c = √(4²+4²) = √[2(4)²] = 4√2 units
Hence, the length of side c is 4√2 units.
Learn more about Pythagoras' Theorem:
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Answer:
a. 12 feet b. 12 feet 0.5 inches c. 8.33 %
Step-by-step explanation:
a. How far out horizontally on the ground will it protrude from the building?
Since the rise to run ratio is 1:12 and the building is 12 inches off the ground, let x be the horizontal distance the ramp protrudes.
So, by ratios rise/run = 1/12 = 12/x
1/12 = 12/x
x = 12 × 12
x = 144 inches
Since 12 inches = 1 foot, 144 inches = 144 × 1 inch = 144 × 1 foot/12 inches = 12 feet
b. How long should the ramp be?
The length of the ramp, L is gotten from Pythagoras' theorem since the ramp is a right-angled triangle with sides 12 inches and 144 inches respectively.
So, L = √(12² + 144²)
= √[12² + (12² × 12²)]
= 12√(1 + 144)
= 12√145
= 12 × 12.042
= 144.5 inches
Since 12 inches = 1 foot, 144.5 inches = 144 × 1 inch + 0.5 inches = 144 × 1 foot/12 inches + 0.5 inches = 12 feet 0.5 inches
c. What percent grade is the ramp?
The percentage grade of the ramp = rise/run × 100 %
= 12 inches/144 inches × 100 %
= 1/12 × 100 %
= 0.0833 × 100 %
= 8.33 %
Answer:0
Step-by-step explanation:
let k=1 and x= 0
30 * 1 *0 + 6 * 1 * 0
0 ANs
Answer:
=12x2−19x−18
Step-by-step explanation:
hope this helps :)
Answer: 382
Just add 300+70+12 and you get 382