Answer:

Step-by-step explanation:
we know that
The smallest cube that could circumscribe the sphere has a length side equal to the diameter of the sphere
In this problem
The radius of the sphere is 
The diameter of the sphere is two times the radius

so
The length side of the cube is

Remember that
The surface area of a cube is equal to the area of its six faces
so

substitute the value of b


Answer:
12 years
Step-by-step explanation:
every 4 years, olympic occurs.
Every 6 years, senator reelection.
if last year was 2020
in 2024 olympic will occur
in 2026 the reelection will occur
in 2028 olympic will occur
in 2032 olympic and reelection will occur will occur
2032 - 2020 = 12
12 years is the answer
The answer to #5 is 171
The answer to #6 is -344
Answer:
Part A) The triangles ABC and EDC are similar by AAA, because the three internal angles are equal in both triangles
Part B) The width of the river is about 
Step-by-step explanation:
we know that
If two triangles are similar, then the ratio of its corresponding sides is equal and its corresponding angles are congruent
Part A) we know that
In this problem , triangles ABC and CDE are similar by AAA, because its corresponding angles are congruent
so
m<DCE=m<ACB -----> by vertical angles
m<EDC=m<ABC -----> is a right angle
m<DEC=m<CAB -----> the sum of the internal angles must be equal to 180 degrees
Part B) we know that
The triangles ABC and EDC are similar -------> see Part A
therefore

substitute the values and solve for AB


Answer:
50%
Step-by-step explanation:
So there are 90 2 digit numbers. There are 45 2 digit odd numbers.
The probability should be 50%