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laila [671]
3 years ago
13

What is the area of this face?​

Mathematics
1 answer:
Phoenix [80]3 years ago
5 0

There is no picture of the face and the numbers.

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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
3 ½ + 1 1/3 help me out I’ll give you v bucks
ratelena [41]

Answer:

(3 * (1 / 2)) + 1 1/3 = 2.83333333

Step-by-step explanation:

Hope this answer helps you :)

5 0
2 years ago
Read 2 more answers
Select the correct answer.<br> Find the sum of 2 + (-) + 3
White raven [17]

Answer:

-1

Step-by-step explanation:

Firstly + and (-) become - and again same thing will happen

<em>Hope</em><em> </em><em>it</em><em> helps</em><em> you</em><em>.</em><em>.</em><em>.</em><em>.</em><em>☺</em>

8 0
3 years ago
Solve for the angle x.
sergejj [24]

Answer:

x=45

Step-by-step explanation:

An entire triangle is 180 degrees and you already know that one angle is 90 degrees. 180 - 90 is 90. Now you have the equation 2x=90.

You then divide each side by 2 to get the x by itself which leaves you with x=45.

8 0
2 years ago
Read 2 more answers
Lines j, k, m, and n lie in a plane. You know line j is perpendicular to line n, m is perpendicular to line n, and line k is par
Alex_Xolod [135]
B it is no problem I don't think it's that answer but yea
7 0
2 years ago
Read 2 more answers
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