The cylinder has a height of 10cm, and a radius of 3cm. What is it's surface area?
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the areas on top are circles so 2pir^2 is the total area of tops and bottoms
the area arounnd is a rectangle that has been curled, its legnth is the height of the cylinder and the width is the circumfernce of the circle on top so area of that is h2pir
add them
2pir^2+h2pir
subsitute since h=10 and r=3
2pi(3)^2+10(2)pi(3)
2pi9+20pi3
18pi+60pi
78pi cm^2 is surface aea
if aprox pi=3.14 then
SA=244.92 cm^2
SA=78pi cm^2 or 244.92 cm^2
A=2(3.14)(3)(10)+2(3.14)(3)^2
A=188.4+36.52
A=244.92
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Which measurement is the best estimate for the distance between New York City and Washington, D.C.?:A : 331 mm B : 331 cm C : 331 m D : 331 Km
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What is the distance from (−2, 4) to (0, −6)? Round your answer to the nearest hundredth.
Find the solution set for the system of equations. 9x + 5y = 28 5x + 9y = 56
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Answer:
Step-by-step explanation:
To find the highest common factor (HCF) of 12x^12 and 16x^16, we need to factor both expressions.
12x^12 = 2^2 * 3 * (x^2)^6
16x^16 = 2^4 * (x^2)^8
The common factors of 12x^12 and 16x^16 are 2^2 and (x^2)^6. To find the HCF, we take the product of these common factors:
HCF = 2^2 * (x^2)^6 = 4x^12
Therefore, the highest common factor (HCF) of 12x^12 and 16x^16 is 4x^12.
Final answer:
To find the HCF of 12x^12 and 16x^16, break down the terms into prime factors and take the lowest exponent for each common prime factor.
Explanation:
To find the highest common factor (HCF) of 12x^12 and 16x^16, we need to determine the largest number or expression that divides both 12x^12 and 16x^16 without leaving a remainder.
First, let's break down the terms into their prime factors:
12x^12 = 2^2 * 3 * (x)^12
16x^16 = 2^4 * (x)^16
Next, compare the prime factors and take the lowest exponent for each prime factor. In this case, the common factors are 2^2 and (x)^12. Multiplying these together gives us the HCF: 4x^12.
Learn more about HCF here:
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Answers
So the unique possible solutions are:
(1,2) and (2,4) => (2,2)
(2,4) and (3,6) => (3,4)
(2,4) and (4,8) => (4,4)
(1,2) and (3,6) => (3,2)
By the way you can notice that if you have two points with coordinates (a,b) and (c,d) the point you are looking is always (c,b) because it is always on a parallel of the x-axis and of the y-axis.
Answers
x + y = 10 and 6/x = 9/y; You need y!
=> x = 10 -y and 9x = 6y => 9(10-y) = 6y => 90 - 9y = 6y => 15y = 90 => y = 6.
b.
c.
d.
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Answers
Risks associated with a stock market were discussed and ways to mitigate those risks were also discussed.
What is a stock market?
Stock markets are venues where buyers and sellers meet to exchange equity shares of public corporations.
Investing in the stock market is riskier than saving cash or bond investments because the stock market completely depends on the performances of corporations. If the performance of a company is not good, each and every shareholder has to bear the consequences.
The way to mitigate this risk is to study the past performances of a company and to know to the current status of that company, its relations with other companies, market demands etc.
Hence, Risks associated with a stock market were discussed and ways to mitigate those risks were also discussed.
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If the company performs badly, or there's a perception it does so, then the stock's value will go down and you'll lose money. The only way to earn money from stocks is if the company is able to be innovative and survive the competition. The worst case scenario is that you lose all your money if the company goes bankrupt.
To reduce the risk, you should diversify your investments so that you invest in multiple companies along multiple sectors of the economy. This spreads out the risk so that if one company fails, then its unlikely they all fail (assuming there isn't some catastrophic event in the market). Alternatively, you can invest with mutual funds or index funds to let other people/entities invest your money with a range of diverse companies.
Answers
The expected value of the payment is $5
What is Proportionality?
When two quantities have some dependence in their values they can be said proportional to each other.
It can be of two types such as direct and indirect.
The direct proportionality means the values of both the quantities are increasing or decreasing at the same time while the indirect proportionality implies value of one quantity is increasing while the other is decreasing.
Given that,
The rent for 5 DVDs for 5 nights is $5.
In order to find the rent for 1 night for 1 DVD, direct and indirect proportion method can be used as follows,
5 DVD for 5 night costs $5.
Then, 5 DVDs for 1 night costs 5 × 5 = $25.
And, 1 DVD for 1 night costs 25/5 = $5.
Hence, the cost of 1 DVD for 1 night is $5.
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