Answer:
Step-by-step explanation:
The distance (d) between two points in 3 dimensions is ...
d = √((x2 -x1)² +(y2 -y1)² +(z2 -z1)²)
Then the distance between (a, -b, -4) and (0, 0, 0) is ...
d = √((a -0)² +(-b -0)² +(-4 -0)²)
= √(a² +b² +16)
Answer:
22.14
Step-by-step explanation:
Using the Pythagorean Theorem:
a^2 + b^2 = c^2
21^2 + 7^2 = c^2
441 + 49 = c^2
490 = c^2 (square root both sides so c^2 becomes c)
c = 22.13594363 (round to hundredths)
c = 22.14
The reciprocal cosine function is secant: sec(theta)=1/cos(theta). The reciprocal sine function is cosecant, csc(theta)=1/sin(theta). The reciprocal tan function is cotan
Cotx=1\tanx
Set an equation:
Let x=the total amount of extra money
120+30•12+x=900
120+360+x=900
480+x=900 Subtract 480 from both sides.
x=420
Now divide by 12 to find the amount for each month
Answer: Shaniqua needs to save $35 extra per month.
