How does the converse of the Pythagoren Therom look

Mathematics

2 answers:

babymother [125]3 years ago

6 0

Answer:

The converse of the Pythagorean Theorem is: If the square of the length of the longest side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle. That is, in ΔABC, if c2=a2+b2 then ∠C is a right triangle, ΔPQR being the right angle.

dalvyx [7]3 years ago

6 0

If the square of the length of the longest side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle. That is, in ΔABC, if c2=a2+b2 then ∠C is a right triangle, ΔPQR being the right angle.

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Hi could someone just help me with this I'm not sure if i'm doing it correctly.

salantis [7]

Two angles are supplementary when they <span>add up to 180 degrees </span>⇒
m∠1 + m∠2 = 180°
4y + 7 + 9y + 4 = 180
13y + 11 = 180
13y = 180 - 11
13y = 169
y = 169/13
y = 13

m∠2 = 9y + 4 = 9 * 13 + 4 = 121°

4 0

3 years ago

A Crane Lifts a load of 4000N to a height of 20m in 5 seconds. Calculate the power of the Crane in horse power

Digiron [165]

Answer:

2.54379284 hp.

Step-by-step explanation: Torque is defined as the engines rotational force. First we find the distance = m in equation- then we use the formula Power = work/time = 16.7/ 5 = 3.34 and Horsepower formula is given by. Horsepower = (Torque × Speed) / 5252. HP = (3.34 × 4000) / 5252. HP = 13360/5252. HP = 2.54379284 hp.

Given : W=4000 m=? h=20 m

Time of operation t =5 s

Work done in lifting a box W=mgh= ? ×12×20=4000 = m = 4000/240=16.6666667 = 16.7KG

Power required P= W/t = w/p = 120000/120 =1000 watts We divide 60/5 = 120 then divide by 10 = 12 (being g)

3 0

2 years ago

F(x)=2x+5 find f(-6)

ser-zykov [4K]

Answer:

Step-by-step explanation:

f(x) = 2x + 5

f(-6)= 2(-6) + 5 = -12 + 5 = -7