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azamat
3 years ago
9

a farmers land is separated into sections of size 2 1/7 acres. Suppose there are 2 2/3 such sections. how many acres of land doe

s the farmer own
Mathematics
1 answer:
Mademuasel [1]3 years ago
4 0

Answer:

  5 5/7 acres

Step-by-step explanation:

The product is ...

  (2 1/7 acres/section)(2 2/3 sections) = (15/7)(8/3) acres = 40/7 acres

  = 5 5/7 acres

The farmer owns 5 5/7 acres of land.

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Adding decimals. number 8 only.
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Step-by-step explanation:

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What is the surface area of the composite figure
leva [86]

Answer:

The answer is 672.

Step-by-step explanation:

To solve this problem, first let's find the surface area of the rectangular prism. To do that, multiply each dimension with each (times 2 | just in case you don't understand [what I'm talking about is down below]).

8 x 8 x 2 = 128

8 x 11 x 2 = 176

8 x 11 x 2 = 176

Then, add of the products together to find the surface area of the rectangular prism.

176 + 176 + 128 = 480

Now, let's find the surface area of the square pyramid. Now, for this particular pyramid, let's deal with the triangles first, then the square. Like we did with the rectangular prism above, multiply each dimension with each other (but dividing the product by 2 | in case you don't understand [what i'm talking about is down below]).

8 x 8 = 64.

64 ÷ 2 = 32.

SInce there are 4 triangles, multiply the quotient by 4 to find the surface area of the total number of triangles (what i'm talking about is down below).

32 x 4 = 128.

Now, let's tackle the square. All you have to do is find the area of the square.

8 x 8 = 64.

To find the surface area of the total square pyramid, add both surface areas.

128 + 64 = 192.

Finally, add both surface areas of the two 3-D shapes to find the surface area of the composite figure.

192 + 480 = 672.

Therefore, 672 is the answer.

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3 years ago
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In a certain​ lottery, you must select 5 numbers​ (in any​ order) out of 26 correctly to win. a. How many ways can 5 numbers be
Step2247 [10]

Answer:

a. 7893600

b.\ \dfrac{1}{26}

Step-by-step explanation:

Given that there are 26 numbers out of which 5 numbers are to be chosen.

Here repetition is not allowed.

For each of the 5 cases, the total number of possibilities will keep on decreasing by 1.

1st case, number of possibilities = 26

2nd case, number of possibilities = 25

3rd case, number of possibilities = 24

4th case, number of possibilities = 23

5th case, number of possibilities = 22

a. Total number of possibilities = 26 \times25 \times24 \times23 \times22 = <em>7893600</em>

b. Probability of winning by choosing one number:

Formula for probability of an event E can be observed as: P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}

Number of favorable cases = 1

Total number of cases = 26

So, required probability:

P(E) = \dfrac{1}{26}

So, the answers are:

a. 7893600

b.\ \dfrac{1}{26}

5 0
3 years ago
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