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7.21

Step-by-step explanation:

Solution,

Given,

base = 4

perpendicular = 6

hypotenuse = ?

Now,

By the formula of Pythagoras Theorem,

h^2 = p^2 + b^2

h^2 = 6^2+4^2

h^2 = 36+16

h = sqrt ( 52 )

h = 7.21

Therefore, the value of x (hypotenuse) is 7.21 .

x= 7.21///no

Step-by-step explanation:

4^2 + 6^2 = 52

take the square root which equals 7.21

///

Pythagorean triples consist of perfect squares, like 2^2 is for the side that is equal to 4, 6 is not a perfect square.

7.9m and 4.3°

step-by-step explanation:

let east be +x and north be +y, x = distance * cos θ, y = distance * sin θ  

for 3.5 south, y = -3.5  

for 8.2, x = 8.2 * cos 30 and y = 8.2 * sin 30  

for 15 west, x = -15  

total x = 8.2 * cos 30 – 15 ≈ -7.9  

total y = -3.5 + 8.2 * sin 30 = 0.6  

magnitude = [(8.2 * cos 30 – 15)^2 + 0.6^2)]^0.5  

the magnitude is approximately 7.9 m  

tan θ = y/x = 0.6/-7.9  

the angle is approximately 4.3˚ north of west

i dont know

step-by-step explanation:

the reason i dont know is because i have not taken this class and for that reason i haven't learned this stuff

hope i could