The surface area would be 166.
This is the concept of application of geometry and financial mathematics; To calculate for the total cost of the carpet we proceed as follows;
Total cost=[area of the carpet]*[price per square yard]
area of carpet is given by:
Area=πr^2
where;
radius,r=6 yeards
=π*6^2
=113.1 square yards
therefore the price of the carpet will be:
113.1*14
=$1,583.4
Answer:
5.5296
Step-by-step explanation:
to evaluate the expression 4x^4 y^3 we would substitute the value of x and y into it and evaluate. since x = 1/5 and y = 6
4x^4 y^3
4 × x^4 × 4× y³
4 × (1/5)∧4 × 4 × 6³
4× (0.2)∧4 × 4 × 216
4 × 0.0016 × 864
0.0064 × 864
5.5296
<h3><u>
Answer:</u></h3>
Hence, the sum of a 7-term geometric series is:
-32766.
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Step-by-step explanation:</u></h3>
We have to find the sum of a 7-term geometric series (i.e. n=7) if the first term(a) is -6, the last term is -24,576, and the common ratio(r) is 4.
We know that the sum of the 7-term geometric series is given as:

On putting the value of a,n and r in the given formula we have:

Hence, the sum of a 7-term geometric series is:
-32766.
Answer:
The coordinates of the science lab is:
x = -14/3 , y = 1
Step-by-step explanation:
∵ P is (-8 , -1) and Q is (2 , 5)
∵ The point of the science lab is (x , y)
∵ The science lab point divided PQ at ratio 2 : 1 from Q (two thirds PQ)
∴ 
∴ 
∴ 
∴ 
∴ The point of science lab = (-14/3 , 1)