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Wittaler [7]
3 years ago
12

in a test +3 marks are given for every correct answer and -1 for every incorrect answer Mary attempted all questions and scored

+20 marks though she got 10 correct answers (1)how many incorrect answers has she attempted? (2)how many questions were given in the test?
Mathematics
1 answer:
AVprozaik [17]3 years ago
7 0

Answer:

10

20

Step-by-step explanation:

correct c=3 x 10

incorrect i=-1

-------

  • 3c-i=20
  • 3*10-i=20
  • i=10

incorrect= 10

number of questions= 10+10= 20

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7 0
2 years ago
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mart [117]

Answer:

a) 301.59 cubic centimeters

b) 235.87 square centimeters

Step-by-step explanation:

a)

Volume of ice cream cone is volume of hemisphere PLUS volume of cone.

Volume of Hemisphere = \frac{\frac{4}{3}\pi r^3}{2}

radius is given as 4, so,

Volume of Hemisphere = \frac{\frac{4}{3}\pi r^3}{2}\\=\frac{\frac{4}{3}\pi (4)^3}{2}\\=134.04

Now, Volume of Cone = \frac{1}{3}\pi r^2 h

Where radius is 4 and height is 10, so,

Volume of Cone = \frac{1}{3}\pi r^2 h\\=\frac{1}{3}\pi (4)^2 (10)\\=167.55

Volume of Ice Cream Cone = 134.04 + 167.55 = 301.59 cubic centimeters

b)

Surface area of ice cream cone is surface area of hemisphere PLUS surface area of cone.

Surface Area of Hemisphere = 2\pi r^2\\=2\pi (4)^2\\=100.53

Surface Area of Cone = \pi r^2+\pi rl

We dont need to use the first part, \pi r^2  since it is "inside". We  need to find l, slant height, by using pythagorean theorem on a triangle we can make (bottom right).

4^2 + 10^ 2 = l^2

16 + 100 = l^2

116 = l^2

l = 10.77

Now to find the surface area of cone = \pi rl\\=\pi (4)(10.77)\\=135.34

Surface area of ice cream cone = 100.53 + 135.34 = 235.87 square centimeters

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Answer:

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Step-by-step explanation:

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Xelga [282]

Answer:

8. 5/6

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