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Ganezh [65]
3 years ago
15

Find the domain of f/g f(x) = square root 4-x^2 g(x) = Square root 3x+4

Mathematics
2 answers:
BartSMP [9]3 years ago
7 0

Answer:

[-4/3,2]

Step-by-step explanation:

remember the bracket that A placed

Ierofanga [76]3 years ago
3 0

Answer:

(-4/3,2]

Step-by-step explanation:

Remember the bracket that I placed

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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
There are 1,296 in.2 in one square yard. Use a proportion to find out how many square yards of carpet it would take to cover te
masya89 [10]

Answer:

30

Step-by-step explanation:

3 0
3 years ago
Is the length of your classroom greater than or less than one kilometer?
Y_Kistochka [10]
That would depend on the size of your classroom. but, typically the answer is no
3 0
2 years ago
Read 2 more answers
Can anybody help me with this ?
BabaBlast [244]

Answer:

1st scenario: 163.3°

2nd scenario: 125.2°

3rd scenario: 142.3°

Step-by-step explanation:

1st scenario: angles 1 and 2 form a linear pair and add up to 180

2nd scenario: angles 1 and 4 are same-side interior and add up to 180

3rd scenario: angles 1 and 8 are corresponding and equal; if angle 7 is 37.7 then angle 8 is 142.3 (they form a linear pair). Since angles 1 and 8 are equal then angle 1 is also 142.3

6 0
3 years ago
5. In a dilation what mathematical operation is used with th scale factor?
xxMikexx [17]

Step-by-step explanation:

multiplication is the mathematical operation used with scale factor

6 0
3 years ago
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