3 years ago

Which of these is a Pythagorean triple? 11,60,62 6,8,15 5,11,12 18,80,82

Mathematics

1 answer:

saul85 [17]3 years ago

8 0

Answer:

18,80,82

Step-by-step explanation:

82^2= 6724

18^2+80^2= 6724

The square of the largest number is equal to the sum of the squares of the two smaller numbers.

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To measure the height of a tree, a surveyor walked a short distance from the tree and found the angle of elevation was 43.9°, th

padilas [110]

Answer:

The height of the tree is H = 77.06 m

Step-by-step explanation:

From Δ ABC

AB = height of the tree

$\tan 43.9 = \frac{AB}{BC}$

$\tan 43.9 = \frac{h}{x}$

h = 0.9623 x ------- (1)

From Δ ABD

$\tan 37.6 = \frac{h}{20+ x}$

h = 0.77 (x + 20) ----- (2)

Equating Equation 1 & 2 we get

0.9623 x = 0.77 (x + 20)

0.9623 x = 0.77 x + 15.4

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Thus the height of the tree is given by

H = 0.9623 x

H = 0.9623 × 80.08

H = 77.06 m

Therefore the height of the tree is H = 77.06 m

4 0

3 years ago

Elijah gets paid $15.50 per hour in addition to a weekly salary of $50. This week he wants to earn more than $400. How many hour

8090 [49]

H=number of hours
m=total salary
m=15.50h+50
put 400 in for m
400=15.50h+50
now solve for h
400=15.50h+50
-50. -50
350=15.50h
Divide 350 by 15.50to get your final answer
you get a long decimal so I rounded it.
22.6 hours

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3 years ago