![autumnguidry1622](/avatars/11208.jpg)
autumnguidry1622
26.05.2021 •
Mathematics
Two cylinders are shown below. Find the volume of each cylinder. Use 3.14 for T. Round your answers to the nearest hundredth.
12 cm
4 cm
8 cm
..10.000.-
A
B
Cylinder A:
cm
Cylinder B:
cm3
Solved
Show answers
More tips
- S Sport When is the Champions League final?...
- H Health and Medicine Is Folic Acid a Necessary Vitamin?...
- W Work and Career How to Start Your Own Business: Tips and Recommendations...
- S Society and Politics 10 Tips for Boosting Your Self-Esteem...
- C Computers and Internet How to Create a Folder on Your iPhone?...
- G Goods and services How to sew a ribbon: Tips for beginners...
- F Food and Cooking How to Make Mayonnaise at Home? Secrets of Homemade Mayonnaise...
- C Computers and Internet Which Phone is Best for Internet Surfing?...
- F Food and Cooking Everything You Need to Know About Pasta...
- C Computers and Internet How to Choose a Monitor?...
Answers on questions: Mathematics
- M Mathematics 3. Triangle ABC shows the measures of the three angles. Which expression gives the greatest value 35 120 25 AB+BCAC+ BCAB+AC ...
- M Mathematics I need help anyone online help...
- M Mathematics A used car dealer sells SUVs and cars. Of all the vehicles, 60% are cars. Of all the vehicles, 15% are red cars. What is the probability that a car chosen at random is not red?...
- M Mathematics Celine is going to hire a makeup artist for a fashion show and is comparing prices. Sebastian charges $26 as a booking fee and an additional $35 per hour. Jared charges $47 per hour,...
- M Mathematics Goran invested in a savings bond for 6 years and was paid simple interest at an annual rate of 7%. The total interest that he earned was $840. How much did he invest? If necessary,...
- M Mathematics This is a diagram of a swimming pool. The dotted circle represents floating buoys. The pool has a diameter of 10 meters. The shortest distance from the buoys to the edge of the pool...
- M Mathematics (a) log: 3 - log, 5 = log (b) log, 11 + log, I = log, 88 (C) 109, 81 = 109,...
- M Mathematics Please helpppppppppppp...
- M Mathematics (a) Write an equation that could be used to answer the question above. First, choose the appropriate form. Then, fill in the blanks with the numbers 7, 4, and 56. Let x represent...
- M Mathematics -3а - b - 3c = 9 4а + 4 - 4c = 4 2а + 4c = 18...
Ответ:
Ответ:
SOLVINGS
y^2 + x^2 = 53 ….. (Equation I)
y − x = 5 ….. (Equation II)
Make y the subject of equation II
y = x + 5 ….. (Equation III)
Substitute (x + 5) for the value of y in Equation I
∴ (x + 5)^2 + x^2 = 53
x^2 + 10x + 25 + x^2 = 53
2 x^2 + 10x + 25 = 53
2 x^2 + 10x + 25 – 53 = 0
2 x^2 + 10x – 28 = 0 ….. (Equation IV)
Factor 2 out of equation IV;
2 (x^2 + 5x - 14) = 0 ….. (Equation V)
Divide both sides of equation V by 0
∴ x^2 + 5x – 14 = 0
x^2 + (7x – 2x) – 14 = 0
x^2 + 7x – 2x – 14 = 0 ….. (Equation VI)
Divide Equation VI into two groups (x^2 + 7x and – 2x – 14)
x + 7 is a common factor in both groups
Factor out x + 7 in Equation VI
∴ x(x + 7) – 2(x +7) = 0
(x – 2) (x +7) = 0
∴ x – 2 = 0 OR x + 7 = 0
x = 2 OR x = -7
x = 2, -7
If x = 2
Substitute 2 for the value of x in equation II
y − x = 5
y – 2 = 5
y = 5 +2
y = 7(x =2, y =7) … Not included in the options
If x = -7
Substitute -7 for the value of x in equation II
y − x = 5
y – (-7) = 5
y + 7 = 5
y = 5 – 7
y = -2(x = -7, y = -2) …. This tally with option B