Answer:
James is 58 and Tyson is 39 years old.
Step-by-step explanation:
x + y = 97
x - y = 19 +
--------------
2x = 116
x = 58
--------------
y = 97 - 58
y = 39
1 foot = 12 inches.
0.75 feet x 12 inches per foot = 9 inches per day.
1 day = 24 hours.
9 inches / 24 hours = 0.375 inches per hour ( 3/8 inch per hour)
Not sure if you need a decimal or fraction for an answer so I provided both.
Answer:
acute and obtuse
Step-by-step explanation:
the acute is less than 90 degrees and obtuse is more than 90 degrees
Answer:
Option b is correct.
The series 20-15+10-5....is Divergent
Step-by-step explanation:
Alternating series Test:

satisfies:
for all n
Then the series converges,
otherwise diverges.
Given the series: 20-15+10-5....
This is a alternating series:



using the alternating series test;
for all n

⇒ the series diverges.
therefore, the given series i,e 20-15+10-5.... is divergent.
Answer:
The area of the shaded region is 30.5 cm^2.
Step-by-step explanation:
So, first you need to find the area of the circle and rectangle separately.
The diagram shows that the circle radius is 5 cm; use the formula pi*r^2 to solve for the area.
The area of this circle:
3.14*5^2
3.14*25
=78.5 cm
The area of this rectangle:
8 cm*6 cm = 48 cm
Now subtract the rectangle's area from the area of the circle.
78.5-48 = 30.5 cm