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Drupady [299]
2 years ago
14

Please help as soon as you can

Mathematics
1 answer:
Tcecarenko [31]2 years ago
7 0
It’s an integer, rational number, and a whole number
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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
bacteria colonies can triple in size every 4 days. If you start with 150 bacteria microorganisms, how large with the colony be a
-Dominant- [34]
It triples in size every 4 days.  In 16 days it will be 3 * 3 * 3 * 3 times bigger.

3 * 3 * 3 * 3 = 81
Therefore, after 16 days, the colony will contain (81 * 150) or 12,150 microorganisms.


6 0
3 years ago
F(x)=x^2+1, (4,17) find slope
labwork [276]

Answer:

ITS NOT A LINEAR EQUATION SO IT DOES NOT HAVE A SLOPE

Step-by-step explanation:

7 0
2 years ago
The table shows weights for different US coins. Allen has one of each coin in his hand.
kozerog [31]
Round each coin weight to the nearest gram first, penny 3g, nickel 5g, dime 2g, quarter 6g, half dollar 11g. Now add those numbers together as he has one of each coin 3+5+2+6+11=27 grams



6 0
3 years ago
Selling Price is $2,640 and the Loss is $196. Find the Cost Price.​
myrzilka [38]
If I am correct, it should be $2,736.


if this is a re-sell, then you would have to add the loss to the selling price to get the original cost.

loss means how much was lost in profit, so whenever you see that make sure to add it to whatever is applicable, like in this case, $2,640.
4 0
2 years ago
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