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Savatey [412]
3 years ago
5

What is the slope of a line that passes through (4,2) and (-2,4)

Mathematics
1 answer:
ycow [4]3 years ago
3 0

Answer:

   Step One: Identify two points on the line.

   Step Two: Select one to be (x1, y1) and the other to be (x2, y2).

   Step Three: Use the slope equation to calculate slope.

Step-by-step explanation:

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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
alex walked 1 mile in 15 minutes. Sally walked 3520 yards in 24 minutes . in miles per hour , how much faster did sally walk tha
Leni [432]

Answer: Sally walked 3 minutes faster per mile

Hope it helped!

7 0
2 years ago
Find the equation of the line with slope m=1 that contains the point (7,5).
katovenus [111]

Answer:

y = x - 2

Step-by-step explanation:

y = mx + b

5 = 1 (7) + b

5 = 7 + b

b = -2

So...

y = x - 2

7 0
2 years ago
Please help ASAP, giving lots of points.
BARSIC [14]
The answers is the last one

6 0
3 years ago
6.2 + 4/5 = ? .........
LUCKY_DIMON [66]

Answer:

7, .2=2/10=1/5+4/5=1+6=7.

P.s.

Please give me brainliest for my next rank.

4 0
2 years ago
Read 2 more answers
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