Answer:
a. Speed of flight * ( total spent away from hive - time stayed on flower bed)
b. The flower bed is 2,400 ft from the hive
Step-by-step explanation:
a. Mathematically, the distance will be ;
the speed * time taken
Given that he stays a total of 17 minutes away from the hive and he stayed 15 minutes in the flower bed, the time it used on the flower bed will be 17 minutes - 15 minutes = 2 minutes
So the distance from the flower bed to the hive is;
Speed of flight * ( total spent away from hive - time stayed on flower bed)
b. We want to find the distance of the flower bed from the hive
That will be;
20 ft per second * 2 minutes (120 seconds)
= 20 * 120 = 2,400 ft
Answer:
Radius=2.09 cm
Height,h=14.57 cm
Step-by-step explanation:
We are given that
Volume of cylinderical shaped can=200 cubic cm.
Cost of sides of can=0.02 cents per square cm
Cost of top and bottom of the can =0.07 cents per square cm
Curved surface area of cylinder=
Area of circular base=Area of circular top=
Total cost,C(r)=
Volume of cylinder,


Substitute the value of h


Differentiate w.r.t r






Again, differentiate w.r.t r

Substitute the value of r

Therefore,the product cost is minimum at r=2.09
h=
Radius of can,r=2.09 cm
Height of cone,h=14.57 cm
C=2πr
The C stands for circumference
the π is Pi (3.14)
and r is the radius (length of half a circle)
Since the sides are 10 ft you multiply that by 2 to get the length of both sides which gives you 20 feet.
Then to find the circle, since both are half circles. You can just do the normal circumference equation and you will end up with the same answer.
For example in this problem: this problem gives you the diameter but you need the radius of the circle. C=2(π)(1.5)
C=9.42 < this is the circumference of the circle.
Then you add the sides of the table which are 20 feet.
So the final answer is 29.42 feet.
A diagram of parallelogram MNOP is attached below
We have side MN || side OP and side MP || NO
Using the rule of angles in parallel lines, ∠M and ∠P are supplementary as well as ∠M and ∠N.
Since ∠M+∠P = 180° and ∠M+∠N=180°, we can conclude that ∠P and ∠N are of equal size.
∠N and ∠O are supplementary by the rules of angles in parallel lines
∠O and ∠P are supplementary by the rules of angles in parallel lines
∠N+∠O=180° and ∠O+∠P=180°
∠N and ∠P are of equal size
we deduce further that ∠M and ∠O are of equal size
Hence, the correct statement to complete the proof is
<span>∠M ≅ ∠O; ∠N ≅ ∠P
</span>
Answer:
A=πr^2
Step-by-step explanation:
A=Area
r=Radius