a person got 10percent increase in his salary . If his salary was Rs50000 then find increase in salary
​

Answer:

x=3

Step-by-step explanation:

The problem can be re-written as :

[tex] \sqrt{3^{x} } \div \sqrt{3} = 3[/tex]

This is because x to the power of 1/2 is the same as the square of x.

multiply both sides by sqrt3

[tex] \sqrt{3^{x} } = 3 \sqrt{3} [/tex]

square both sides

[tex]3 ^{x} = (3)^{2} ( \sqrt{3} )^{2} [/tex]

simplify

[tex]3 ^{x} = 9 \times 3[/tex]

3 to the power of x is equal to 27

3 cubed (to the power of 3) is 27

so x is equal to 3.

hope i helped, and good luck :)

Answer:

6 km/hr or 5 km/hr

Step-by-step explanation:

In the lake, she goes 15 km at x km/hr (named)

In the river, she goes 6 km at x-2 km/hr (current=2 km/hr)

So, the time in the lake -  the time in the river = 1 hour (given)

15/x - 6/x-2 = 1 --> x=6;x=5

The speed of the boat as the photographer paddles the lake if the river current is 2 km/h is 6 km/hr and this can be determined by forming the quadratic equation.

Given :

According to the given data, if the river current velocity is 2 km/hr then let the speed in the lake be x km/hr. So, the speed of the photographer in the river is (x - 2) km/hr

Therefore, the speed of the boat as she paddles the lake if the river current is 2 km/h is given by:

[tex]\dfrac{15}{x} - \dfrac{6}{x-2}=1[/tex]

Now, simplify the above expression.

[tex]15(x-2)-6(x)=x(x-2)[/tex]

[tex]15x-30-6x=x^2-2x[/tex]

[tex]x^2-11x+30=0[/tex]

Factorize the above equation.

[tex]x^2-6x-5x+30=0[/tex]

x(x - 6) - 5(x - 6) = 0

(x - 6)(x - 5) = 0

x = 6 or 5

For more information, refer to the link given below:

https://brainly.com/question/25277954

Answer:On a Road trip, a family drives 350 miles per day. How many days, d, must they travel to reach a distance of at least 1,400 miles?

Step-by-step explanation:

Answer:

(1). 50.0° ; (2). 15.5 units

Step-by-step explanation:

Answer:

12 i think

Step-by-step explanation:

Answer:

V = 205 in^3 to the nearest whole number

Step-by-step explanation:

V = 4/3 π r^3

Plugging in the given information:

V = 4/3 * 3.14 * 7^2

V = 205.147.

Answer:

19 is the numerical value

Step-by-step explanation:

Also, when it's converted to number I.e.

E = 14 , B = 11

= 14 + 11 = 25

But in letters the numerical value is

E + B = 19

Answer:

8/5

Step-by-step explanation:

this is a slope formula which formats y=mx+b

m being the slope

and b being the y-intercept

so no need to look far, and no need to solve anything but 8/5 would be your y-intercept

:)) have a great day!

Answer:

1+2=3 is answer

Step-by-step explanation:

so what help u need?

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Explanation:

Let A = (4,8) and B = (12,16)

Form point C at the location (12,8). Note how points A and C are on the same horizontal level, or they have the same y coordinate.

The distance from A(4,8) to C(12,8) is 12-4 = 8 units. Ignore the y coordinates and subtract the x coordinates. This trick only works for horizontal line segments.

So we can see that each square face has a side length of 8 units. The area of each square face is 8^2 = 8*8 = 64 square units.

There are six of these faces, so 6*64 = 384 square units is the total surface area of the number cube.

Answer:

Step-by-step explanation:

Answer:

A: 5.0625

B: 10.16015625

C: 15.015625

Step-by-step explanation:

Answer:

B) [tex]10\sqrt{3}[/tex]

Step-by-step explanation:

So basically it's divided into 3 similar triangles and using ratios we can try to find x

long side/short side = long side/short side

(20)/(x) = (x)/(15)

[tex]x^{2}[/tex] = 300

x =  [tex]10\sqrt{3}[/tex]

I really hope I didn't make that too complicated-

Answer:

B

Step-by-step explanation:

Remark

I have to represent f(x) as plus +f(x)

I like to show this situation as +f(g(x)) which I think is much clearer.

+f(x) = 5x - 4    

Solution

+f(g(x)) = 5(g(x)) - 4  What has happened is that wherever you see an x on the right you put in g(x).

Now on the right, you put whatever g(x) is equal  to.

+f(g(x)) = 5(x^2 - 1)  - 4    

Remove the brackets.

+f(g(x)) = 5x^2 - 5 - 4

And make x = 0

+f(g(0)) = 5*0 - 5 - 4

+f(g(0)) = - 9

Answer:

2622.80

Step-by-step explanation:

I just took the test and made a 100%

Answer:

20

Step-by-step explanation:

Use a calculator, press squareroot button on a calculator and press 400 it will give you 20... Its like 20*20=400

Answer:

Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

20

Step-by-step explanation:

Hope it is helpful....

Answer:

43ft

Step-by-step explanation:

side a = x ft

side b = 10 ft

side c = 18 ft

x = 14.967

rounds to = 15

10 + 18 + 15 = 43

43 ft of fence needed

Answer:

12b+1

Step-by-step explanation:

-4 + 4b + 5 + 8b

12b+1

Answer:

87

Step-by-step explanation: im genius at math

Answer:

I think the slope would be (2,4)

Step-by-step explanation:

Becuse it rises by 2 and runs by 4

Answer:    In the equation 4x + 1 - x = -2(x - 3)​ X = 1

I hope this helped Please mark Brainliest

Step-by-step explanation:

Nathaniel2861401

Answer:

x = 1

Step-by-step explanation:

4x + 1 - x = -2(x - 3)

3x + 1 = -2x + 6

3x + 2x = 6 - 1

5x = 5

x = 1

Answer: -0.83

Step-by-step explanation:

A correlation coefficient(r) is used to determine the strength and direction of the relationship between two variables.

-1 ≤ r ≤1

For downward trend r is negative.

For strong correlation r should be closer to 1 or -1.

From the given correlation coefficients  -0.83 is both negative and closer to -1.

Hence, a correlation coefficient represents the strongest downward trend in a data set = -0.83

1.) Divide the composite figure into a square on the left, a rectangle in the middle, and a square on the right by drawing two vertical lines through the figure. Then calculate the individual areas of the shapes and add them all together.

2.) Divide the composite figure into a square on the top and a rectangle on the bottom by drawing a horizontal line through the figure. Then calculate the individual areas of the shapes and add them all together.

Hope this helps, and have a wonderful day!

Answer:

35*36=1260

Step-by-step explanation:

Answer:

35, 36

Step-by-step explanation:

Let the two consecutive positive integers be x and (x + 1)

According to the given information:

[tex]x(x + 1) = 1260 \\ \\ {x}^{2} + x - 1260 = 0 \\ \\ {x}^{2} + 36x - 35x - 1260 = 0 \\ \\ x(x + 36) - 35(x + 36) = 0 \\ \\ (x + 36)(x - 35) = 0 \\ \\ x + 36 = 0, \: \: x - 35 = 0 \\ \\ x = - 36, \: \: x = 35 \\ \\ \because \: x \in \: positive \: integer \\ \\ \therefore \: x \neq \: - 36 \\ \\ \therefore \: x = 35 \\ \\ x + 1 = 36[/tex]

9514 1404 393

Answer:

  ? = 7/30 = 0.233...(repeating)

Step-by-step explanation:

Write the ratios as fractions, then multiply by the denominator under the unknown.

  [tex]\dfrac{\text{?}}{0.2}=\dfrac{7}{6}\\\\\text{?}=0.2\times\dfrac{7}{6}=\dfrac{2}{10}\times\dfrac{7}{6}\\\\ \boxed{\text{?}=\dfrac{7}{30}=0.2\overline{3}}[/tex]

Answer:

Step-by-step explanation:

Pythagorean theorem,

Base² + altitude² = hypotenuse²

x² + 3² = 6²

x² + 9 = 36

      x² = 36 - 9

     x² = 27

x = √27

Answer:

D) x=sq rt 27

Step-by-step explanation:

using the Pythagorean theorem

6^2=3^2+x^2

36=9+x^2

27=x^2

x=sq rt 27

Answer:

x = 4

Step-by-step explanation:

ΔABC ≈ ΔDBE

set up a proportion of corresponding sides:

BD / BE = BA / BC

BA = 10 - x + x = 10

10-x / 3 = 10 / 5

cross-multiply:

5(10 - x) = 3(10)

50 - 5x = 30

-5x = -20

x = 4

Answer:-12

Step-by-step explanation: