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3 years ago

HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Mathematics

2 answers:

charle [14.2K]3 years ago

8 0

Answer to Q6:

x = 3

Step-by-step explanation:

Given equation is :

7x = 6+5x

We have to find the value of x by simplifying above equation.

Adding -5x to both sides of above equation, we get

7x-5x = 6+5x-5x

Adding like terms, we have

2x = 6+0

2x = 6

Dividing by 2 to both sides of above equation, we get

2x/2 = 6/2

x = 3 Which is the answer.

Answer to Q7:

x = 6

Step-by-step explanation:

We have given an equation.

30 = 4x+6

We have to find the value of x.

Adding -6 to both sides of above equation , we get

30-6 = 4x+6-6

24 = 4x+0

24 = 4x

Dividing by 4 to both sides of equation, we have

24/4 = 4x/4

6 = x

Swapping equation , we have

x = 6 which is the answer.

Answer to Q8:

x = 4

Step-by-step explanation:

Given equation is:

2(x+4) = 16

We have to find the value of x by simplifying it.

Distributing 2 to parentheses of above equation, we get

2x+8 = 16

adding -8 to both sides of above equation, we have

2x+8-8 = 16-8

2x+0 = 8

2x = 8

dividing by 2 to both sides of above equation, we have

2x/2 = 8/2

x = 4 which is the answer.

Answer to Q8:

x = 3

Step-by-step explanation:

We have given following equation.

7+5x = 3x+13

We have to find the value of x by simplifying above equation.

Adding -3x to both sides of above equation, we get

7+5x-3x = 3x+13-3x

adding like terms, we get

7+2x = 13

adding -7 to both sides of above equation, we get

-7+7+2x = -7+13

2x = 6

dividing by 2 to both sides of above equation , we have

2x/2 = 6/2

x = 3 which is the answer.

UkoKoshka [18]3 years ago

5 0

Answer:

Find the value of x(attachment 11)

7x = 6 + 5x

7x - 5x = 6

2x = 6

x = 6/2 = 3

30 = 4x + 6

4x = 30 - 6 = 24

x = 24/4 = 6

2(x + 4) =16

x + 4 = 16/2 = 8

x = 8 - 4 = 4

7 + 5x = 3x + 13

5x - 3x = 13 - 7

2x = 6

x = 6

Find the area(From attachment 2)

1) Area = 4* 5 = 20

2)Area = 7 * m = 7m

3). Area = 3* a = 3a

4). Area = x*x = x²

5). Area = 4*x + 3* 4 = 4x + 12

6). Area = 7*a + 7*9 = 7a + 63

7). Area = 3x*x + 2*3x = 3x² + 6x

expression of line segment

8) x + 9

9). x + 4

10). a + 2

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Answer:

Camera 2nd has to cover the maximum angle, i.e. $78.70^\circ$ .

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Please have a look at the triangular park represented as a triangle $\triangle ABC$ with sides

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1st camera is located at point C, 2nd camera at point B and 3rd camera at point A respectively.

We can use law of cosines here, to find out the angles $\angle A, \angle B, \angle C$

As per Law of cosine:

$cos C = \dfrac{a^{2}+b^2-c^2 }{2ab}\\cos B = \dfrac{a^{2}+c^2-b^2 }{2ac}\\cos A = \dfrac{b^{2}+c^2-a^2 }{2bc}$

Putting the values of a,b and c to find out angles $\angle A, \angle B, \angle C$ .

$cos C = \dfrac{110^{2}+158^2-137^2 }{2\times 110 \times 158}\\\Rightarrow cos C = \dfrac{12100+24964-18769 }{24760}\\\Rightarrow cos C =0.526\\\Rightarrow C = 58.24^\circ$

$cos B = \dfrac{110^{2}+137^2-158^2 }{2\times 110 \times 137}\\\Rightarrow cos B = \dfrac{12100+18769 -24964}{30140}\\\Rightarrow cos B = \dfrac{5905}{30140}\\\Rightarrow cos B =0.196\\\Rightarrow B = 78.70^\circ$

$cos A = \dfrac{158^{2}+137^2-110^2 }{2\times 158 \times 137}\\\Rightarrow cos A = \dfrac{24964+18769-12100}{43292}\\\Rightarrow cos A = \dfrac{31633}{43292}\\\Rightarrow cos A = 0.731\\\Rightarrow A = 43.05^\circ$