Answer:
25π - 24 cm²
Step-by-step explanation:
area of circle:
A = πr²
A = π(5²)
A = 25π
Area of triangle:
base = 6
height = 5 - 1 = 4
(1/2)(6 * 4) = 12
there are 2 triangles so unshaded area is 24 cm²
Area of shaded region = 25π - 24 cm²
Answer:
17.5
Step-by-step explanation:
you would take 50 and multiply it by 35% or .35
Sung drove to the mountains
s₁=speed when Sung drove to the mountains.
t=10 hour.
d=distance.
s₁=d/t
s₁=d/10 hour ⇒s₁=d/10 (1)
Sung drove home:
s₂=speed when Sung drove home.
t=7 hour
s₂=s₁+18 miles/hour
s₂=d/7 hour ⇒s₁+18 miles/h=d/7 hour ⇒ s₁+18=d/7 (2)
Whit the equations (1) and (2) make a system of equations:
s₁=d/10
s₁+18=d/7
we can solve this system of equations by substitution method.
d/10+18=d/7
least common multiple=70
7d+1260=10d
7d-10d=-1260
-3d=-1260
d=-1260/-3=420
Answer: distance= 420 miles.
Pebble falls into the pond from the surface and it descends at a rate of 2 feet per second.
So basically, the pebble is descending or falling down at 2 feet per second which means after every 1 second, it goes 2 feet down.
The equation to represent the depth of the pebble with time is given by:
Where, 'd' is the depth after certain time and 't' is the time in seconds.
Now, we need to find the depth of the pebble after 5 seconds.
Plugging the value 
, we get:
So, after 5 seconds the pebble will be at the depth of 10 feet.
