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Umnica [9.8K]
3 years ago
15

Evaluate this expression. 3-2 lao

Mathematics
1 answer:
Andreyy893 years ago
8 0

Answer:

1

Step-by-step explanation:

subtract 2 from 3

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To answer this question, there needs to be choices provided since the description you provided states "which of the following".

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Find at least 4 equivalent fraction of<br>14 / 16​
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Step-by-step explanation:

7/8

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The perimeter of a triangular field is 120m. Two of the sides are 21m and 40m.Calculate the largest angle of the field.
Mama L [17]

Answer:

the largest angle of the field is 149⁰

Step-by-step explanation:

Given;

perimeter of the triangular filed, P = 120 m

length of two known sides, a and b = 21 m and 40 m respectively

The length of the third side is calculated as follows;

a + b + c = P

21 m  + 40 m  + c = 120 m

61 m +  c = 120 m

c = 120 m - 61 m

c = 59 m

                         B

                     ↓            ↓  

                  ↓                          ↓

                ↓                                       ↓

            A →  →  → →  →  → →  → →    →    →  C

Consider ABC as the triangular field;

Angle A is calculated by applying cosine rule;

a^2 = b^2 + c^2 - 2bc \ Cos A\\\\Cos \ A = \frac{b^2 + c^2 - a^2}{2bc} \\\\Cos \ A = \frac{40^2 + 59^2 - 21^2}{2 \times 40 \times 59} \\\\Cos \ A = 0.983\\\\A = Cos ^{-1} (0.983)\\\\A = 10.6 \ ^0

Angle B is calculated as follows;

Cos \ B = \frac{a^2 + c^2 - b^2}{2ac} \\\\Cos \ B = \frac{21^2 + 59^2 - 40^2}{2 \times 21 \times 59} \\\\Cos \ B = 0.937\\\\B= Cos ^{-1} (0.937)\\\\B = 20.5 \ ^0

Angle C is calculated as follows;

Cos \ C = \frac{a^2 + b^2 - c^2}{2ab} \\\\Cos \ C = \frac{21^2 + 40^2 - 59^2}{2 \times 21 \times 40} \\\\Cos \ C = -0.857\\\\C = Cos ^{-1} (-0.857)\\\\C = 149\ ^0

Therefore, the largest angle of the field is 149⁰.

       

8 0
3 years ago
Mai's younger brother tells her that 10/7 is equal to square root 2. Mai knows this can't be right because 10/7 is rational and
Elodia [21]
The answer is 76 because Mai’s younger brother has been saving up for that long it just makes since
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The missing number in the series 1,4,27,__,3125 is:
sveta [45]

Answer:

D )  256

Step-by-step explanation:

The given sequence is  1,4,27, ---, 3125

This is sequence of given problem

1^{2},2^{2} ,3^{3} ,4^{4} ,5^{5}

so here missing is '4' term is

The fourth term is 256.

5 0
4 years ago
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