Answer:
D. xz=yz, angle z is shared, wz=wz
Answer:
C
Step-by-step explanation:
3^2 + 5^2 = x^2
9 + 25 = x^2
x^2 = 34
x = sqrt(34)
so the answer is C
Answer:
7.85km
Step-by-step explanation:
Using Sine rule
Sin57° = distance / 18km
Therefore, distance = 18 x sin57°
distance = 7.85km
See the attached image for the drawings of the 45-45-90 triangle and the 30-60-90 triangle.
----------------------------------------------
For the 45-45-90 triangle, the two legs are both 3 while the hypotenuse is unknown. Call it x for now.
Using trig we can say
sin(angle) = opposite/hypotenuse
sin(A) = BC/AC
sin(45) = 3/x
sqrt(2)/2 = 3/x
sqrt(2)*x = 2*3
sqrt(2)*x = 6
x = 6/sqrt(2)
x = (6/sqrt(2))*(sqrt(2)/sqrt(2))
x = (6*sqrt(2)/(sqrt(2)*sqrt(2))
x = (6*sqrt(2)/(2)
x = 3*sqrt(2)where "sqrt" is shorthand for "square root"
----------------------------------------------
For the 30-60-90 triangle, we can say
cos(angle) = adjacent/hypotenuse
cos(D) = DE/FD
cos(60) = 4/y
1/2 = 4/y
1*y = 4*2
y = 8and we can also say
sin(angle) = opposite/hypotenuse
sin(D) = EF/FD
sin(60) = z/y
sin(60) = z/8
8*sin(60) = z
z = 8*sin(60)
z = 8*sqrt(3)/2
z = (8/2)*sqrt(3)
z = 4*sqrt(3)
A tennis ball is a sphere
Volume of a sphere ===>
Plug in the given info
<span>
</span>
Do the math to get a final answer of:
<span>
</span>