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Over [174]
3 years ago
10

What are the sotions to the quadratic equation 9x^2=4

Mathematics
1 answer:
Mashcka [7]3 years ago
5 0

9x^2=4\\\\x^2=\dfrac{4}{9}\\\\x=\dfrac{2}{3}\vee x=-\dfrac{2}{3}

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What is the value of x?​
LiRa [457]

Answer:

98°

Step-by-step explanation:

x = 53° + 45° { exterior angle of a triangle is equal to the sum of two opposite interior angles }

x = 98°

5 0
2 years ago
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
Hey can you please help! posted picture of question
frosja888 [35]
The solution of the system can be x - 3y = 4 only if both the equations can be simplified to x - 3y = 4.

This will mean that both the equations will result in the same line which is x - 3y = 4 and thus have infinitely many solutions.

Second equation is:

Qx - 6y = 8 
Taking 2 common we get:

(Q/2)x - 3y = 4

Comparing this equation to x- 3y = 4, we can say that 

Q/2 = 1
So,
Q = 2

Therefore, the second equation will be:

2x - 6y = 8
5 0
3 years ago
Select all the numbers that are common multiples of 4 and 6.
Verdich [7]

Answer:

12, 24, and 60.

Step-by-step explanation:

It says multiples. Not factors, so it can't be 1 or 2. Neither of the numbers can make the number 10. 4 can make 40, but 6 can't.

8 0
3 years ago
Read 2 more answers
A bag contains 15 coins consisting of quarters and dimes. The total value of the coins is $2.55. Which system of equations can b
denis23 [38]

Answer: d+q= 2.55

or d=15+q

I believe this is how you do it

Step-by-step explanation:

5 0
3 years ago
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