Answer:
15.92 rotations
Step-by-step explanation:
We need to find the circumference, then divide the distance of the driveway by the circumference.
C = (pi)(d)
C = (3.14)(16)
C = 50.24
400/50.24 = 7.971783 one way to the mailbox. Since it asks for the "journey to the mailbox", let's double it, giving us 15.9235669
Answer:
12x+4x-7y+45b+78a-44b+1a+1z+0d+1.1a+1.1a+2+2+2
Answer:
$3.38
Step-by-step explanation:
The formula is 45= 8x + 4t. Each tube of toothpaste is 4.50, so times four is 18. So they spent 18 dollars on toothpaste, and the rest on toothbrushes. There are 27 dollars left, and 8 toothbrushes, so divide and each toothbrush is $3.375, or $3.38
we know that
the rate of a linear equation is equal to the slope
Step 1
Find the bear’s average heart rate when it’s active
Let
A(1.5,90) B ( 2,120)
the slope is equal to
m=(y2-y1)/(x2-x1)
m=(120-90)/(2-1.5)=30/0.5
m=60 heartbeats/min
therefore
the answer part a) is
the bear’s average heart rate when it’s active is 60 heartbeats/min
Step 2
Find the bear’s average heart rate when it’s hibernating
Let
A(1.5,18) B ( 2,24)
the slope is equal to
m=(y2-y1)/(x2-x1)
m=(24-18)/(2-1.5)=6/0.5
m=12 heartbeats/min
therefore
the answer part b) is
the bear’s average heart rate when it’s hibernating is 12 heartbeats/min
Answer:
The volume of the observatory is 497.43 
Step-by-step explanation:
i) The diameter of the floor is 10 feet. The floor is circular and has a radius,
r = 
= 5 feet.
Therefore the area of the circular floor of the observatory
= 
= 3.14159 × 
= 78.54 
ii) The observatory is made up of two parts
a) 3 foot tall cylinder
∴ volume of cylinder = × h
= 78.54 × 3
= 235.62
b) hemisphere = 
× 
= 0.6667 × 78.54 × 5 = 261.81
c) Therefore the total volume of the observatory is = a) + b)
= 235.62 + 261.81 = 497.43
