Answer:
The diameter decreases at a rate of -0.0477 cm/min when it is 10 cm.
Step-by-step explanation:
Surface area of a snowball:
A snowball has a spheric format, which means that it's surface area is given by:

In which r is the radius, which is half the diameter. In function of the diameter, the area is given by:

Solving the question:
To solve this question, we have to implicitly derivate the area in function of t. So

Snowball melts so that its surface area decreases at a rate of 3 cm2/min
This means that 
Find the rate at which the diameter decreases when the diameter is 10 cm.
This is
when
. So




The diameter decreases at a rate of -0.0477 cm/min when it is 10 cm.
Answer:
i really dont know
please explain the question more
Step-by-step explanation:
Answer:
The area of the sector is
.
Step-by-step explanation:
We have,
Radius of circle is 15 cm
Central angle is 
It is required to find the area of the sector. The formula used to find the area of sector is given by :

Plugging all the values in above formula as :

So, the area of the sector is
.
Answer:
£36
Step-by-step explanation:
From the question, we are told that School allots £3000 to spend on a trip to the theatre. With regular cost of tickets of £40 each with offer for 1/5 off
Then the cost of each ticket with 1/5 off= (4/5×40)= £32
From the question, A train ticket for the day will cost £20 each.
Then total cost for each of it = £32+£20
=£52
To determine how much money that the school will have left over, If 3 teachers and the maximum number of students attend, can be expressed below by first calculating the number of students.
Let us denote the number of students as "x"
52(x+3)= < 3000
52x + 156 =< 3000
52x =< 3000 - 156
52x =< 2844
X =< 2844/52
s =< 54.69,
The max. Number of students is 54
Total number of people= Number of students + the 3 teachers
= 54+3= 57
Total cost for 57 people= (£52 × 57 people)= £2964
The amount of money the school will have as left over = (£3000 - £2964)
= £36
Answer:
You should buy from the first store
Step-by-step explanation:
Since there are 4 quarts in a gallon, we will need to multiply .80 by 8 to figure out how much it costs for 2 gallons. This will be $6.40 for the second store, and in order to find out how many the first store offers, we multiply 3 by two, which is six.
So, the first store charges $6.00 for two gallons, and the second store does $6.40 for two gallons of milk