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g100num [7]
3 years ago
14

7+6 (mod 5) =2+1 (mod 5) =20 (mod 11) =35 (mod 11) =20 (mod 11) =​

Mathematics
1 answer:
ValentinkaMS [17]3 years ago
5 0

Answers:

  • 3
  • 3
  • 9
  • 2
  • 9

======================================

Explanation:

7+6 = 13. Divide this over 5 to get 13/5 = 2 remainder 3. The quotient 2 is something we don't care about. <u>We only worry about the remainder</u>. Therefore 7+6 = 3 (mod 5)

-------------

2+1 = 3 (mod 5) for similar reasoning as above. 3/5 = 0 remainder 3.

-------------

20 = 9 (mod 11) since 20/11 = 1 remainder 9. Imagine you had 20 cookies and 11 friends. Each friend would get 1 whole cookie (quotient) and there could be 9 left over (remainder).

-------------

35/11 = 3 remainder 2

Or you could use repeated subtraction like so to find the remainder

35-11 = 24

24-11 = 13

13-11 = 2

The last result (2) is smaller than 11, so we stop here and this is the remainder.

Therefore, 35 = 2 (mod 11)

--------------

Here's another way to think of it. Consider you have $35 in your pocket. Let's say a store is selling trinkets for $11 each. We can pose these key questions:

  • What is the most number of trinkets you can buy?
  • If you buy that max amount, how much will you have left over?

The answer to the first question is 3 trinkets because 3*11 = 33 dollars is under the budget of $35. The amount left over is 35-33 = 2 dollars which is the remainder. It's not larger than 11, so we cannot buy any more trinkets at this point.

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We will be multiplying fraction by a fraction and for this, it's good to change mixed numbers into improper fractions:

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8 0
3 years ago
I need help lol. Find the lateral surface area of the figure to the nearest tenth.
Mekhanik [1.2K]

Answer:

101.9 sq ft

Step-by-step explanation:

The figure is missing: find it in attachment.

Here we want to find the lateral surface area of the figure, which is the sum of the areas of all faces.

We have in total 5 faces:

- 1 of them is rectangle with sizes (8.5 ft x 3.3 ft), so its area is

A_1=8.5 \cdot 3.3 =28.1 ft^2

- 1 of them is a rectangle with sizes (3.3 ft x 5.1 ft), so its area is

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- 1 of them is a rectangle with sizes (6.8 ft x 3.3 ft), so its area is

A_3 = 6.8\cdot 3.3 =22.4 ft^2

- Finally, we have 2 triangular faces (top and bottom), so their area is

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where

b = 5.1 ft is the base

h = 6.8 ft is the height (because the triangle is a right triangle)

So the area of the triangle is

A_T=\frac{1}{2}(5.1)(6.8)=17.3 ft^2

So the total lateral surface area of the figure is:

A=A_1+A_2+A_3+2A_T=28.1+16.8+22.4+2(17.3)=101.9 ft^2

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