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nignag [31]
3 years ago
9

Divide Rs.300 between A and B in the ratio2:3

Mathematics
1 answer:
kherson [118]3 years ago
3 0

The value of 300 is divided into 120 and 180 in the ratio of 2:3.

<u>Step-by-step explanation</u>:

  • The total value is 300.
  • This total of 300 should be divide in the ratio of 2:3.

Let us assume that the common factor be x in the ratio.

  • The value of the part A is 2x.
  • The value of the part B is 3x.

It is known that, 2x + 3x = 300

⇒ 5x = 300

⇒ x = 300/5

⇒ x =60.

<u>To find the values of A and B :</u>

A= 2x

⇒ 2(60)

⇒ 120

B= 3x

⇒ 3(60)

⇒ 180

The value of 300 is divided into 120 and 180 in the ratio of 2:3.

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Find the value of f(3) for the function.<br> f(x) = -2(x + 3)
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3 years ago
Use the information to answer the questions.
Anna71 [15]

Answer:

Part 1) The length of two sides and the measure of the included angle (Side-Angle-Side)

Part 2) b^2=a^2+c^2-2(a)(c)cos(B)  

Part 3) b=11.6\ in

Step-by-step explanation:

we have

In the triangle ABC

a=11\ in\\c=9\ in\\B=70^o

Part 1) Which information about the triangle is given?

In this problem we have the length of two sides and the measure of the included angle (Side-Angle-Side)

see the attached figure to better understand the problem

Part 2) Which formula can you use ti find b?

I can use the law of cosines

b^2=a^2+c^2-2(a)(c)cos(B)  

we have

a=11\ in\\c=9\ in\\B=70^o

substitute the given values

b^2=11^2+9^2-2(11)(9)cos(70^o)

b^2=202-67.72  

b=11.59\ in

Part 3) What is b, rounded to the nearest tenth?

Remember that

To Round a number

a) Decide which is the last digit to keep  

b) Leave it the same if the next digit is less than 5 (this is called rounding down)  

c) But increase it by  1 if the next digit is  5 or more (this is called rounding up)

In this problem we have

11.59\ in

We want to keep the digit 5

The next digit is 9 which is 5 or more, so increase the "5" by 1 to "6"

therefore

b=11.6\ in

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3 years ago
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