Use the Pythagorean Theorem.
The length of the path is d, and it is the hypotenuse of the right triangle.
50^2 + 120^2 = d^2
2500 + 14400 = d^2
d^2 = 16900
d = 130
Answer: 130 m
Answer:
The equation of the sphere with center (-2, 3, 7) and radius 7 is
.
The intersection of the sphere with the yz-plane is
.
Step-by-step explanation:
We know that any sphere can be represented by the following equation:

Where:
,
,
- Coordinates of the center of the sphere, dimensionless.
- Radius of the sphere, dimensionless.
If
and
, we obtain this expression:

The intersection of the sphere with the yz-plane observe the following conditions:
,
, 
Hence, the expression above can be reduced into this:

Answer:
the answer is 127.65
Step-by-step explanation:
if you divide 2.35 into 300 it can only go inside of 300
127.65 times that your answer
Answer:
4 years
Step-by-step explanation:
800 x 0.04 = 32
128 ÷ 32 = 4
4 years
...
4% = 0.04 because of 4 ÷ 100
Answer:
A=B
Step-by-step explanation:
1.25a=120
1.35b=90
( 1.25/4 )a = 30
1.35b / 3 = 30
1.25a / 4 = 1.35b / 3
3.75a = 5.4b
a / b = 1.44