realshade99 realshade99
  • 25-04-2018
  • Mathematics
contestada

Find the value of Z.

A. 3
B. 6\sqrt{2}
C. 2
D. 2\sqrt{2}

Find the value of Z A 3 B 6sqrt2 C 2 D 2sqrt2 class=

Respuesta :

AprilKitties
AprilKitties AprilKitties
  • 25-04-2018
So you would first find the length of y.

To do that, use the Pythagorean's Theorem:

a²+b²=c²

in this case, c = 3, and b = 1.

a² + 1² = 3²
a² + 1 = 9
a² = 8
a = √8

Now to find z, use the Pythagorean's Theorem again:

a² + b² = c²

where √8 = a and 8 = b, and z = c.

√8² + 8² = z²
8 + 64 = z²
72 = z²
z = √72

To simplify this, take out the largest perfect square, or 36:

z = √36√2
z = 6√2

So your answer would be B.
Answer Link

Otras preguntas

how do tides affect inlets
for the freckles trait, having freckles (F) is dominant while no freckles (f) is recessive. What will someone that is Ff look like?
Describe three of Darwin's observations about animals in south America and on the galapagos islands.
Who was Thomas Aquinas? A. a thirteenth-century scientist who tried to prove the existence of God B. a thirteenth-century lord who acquired a lar
explain how you can find the lengths of the two legs of a 30 60 90 degree triangle in radical form if you are given the length of the hypotenuse
what can I do if my mouse on my laptop keeps freezing on me for 5 minutes
how do tides affect inlets
A square has an area of 576 square inches. How long is each side in feet?
What were the motives of the crusaders during the first crusade?
SAT Question of the Day: The scientist ascribed the ------- of the park’s remaining trees to the ------- of the same termite species that had damaged homes thro