What is the approximate value of y − x?

Mathematics

1 answer:

Lelechka [254]3 years ago

6 0

Since it is a right angled triangle.

tan x = 14.1/19.1

tan x ≈ 0.7382

x ≈ tan⁻¹(0.7382) use a calculator.

x ≈ 36.4°

Since x and y are adjacent angles of right angled triangle.

x + y = 90°

x = 90° - 36.4°

x = 53.6°

y - x ≈ 53.6° - 36.4°

y - x ≈ 17.2°

17.2

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Item 3

Kruka [31]

Answer:

The given system as (3,3) as its solution.

Step-by-step explanation:

Here, the given system of the equation is:

4 x + 2 y = 18 ................ (1)

2 x + 3 y = 15 ............... (2)

Now, to use the elimination method, w need to eliminate any of the variable.

Eliminate the variable x in the given system.

Multiply equation (2) with -2 we get,

(2 x + 3 y = 15 )(-2) ⇒ -4x - 6y = -30 ....... (3)

Add (1) and (3), we get:

4 x + 2 y -4x - 6y = 18 -30

or, - 4 y = - 12

or, y = 12/4 = 3 ⇒ y = 3

Putting in (1), we get

4x + 2(3) = 18 or, 4x = 18 - 6 = 12

or, x = 3

(x,y) = (3,3)

Hence, the above system as (3,3) as its solution.

6 0

3 years ago

Subtract. – 0.41 – 8.91<br> a. –9.32<br> b. –8.50<br> c. 8.50<br> d. 9.32

Free_Kalibri [48]

The answer is a -9.32

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3 years ago

Working together, Candice and Ximena painted a fence in 8 hours. Last year, Ximena painted the fence by herself. The year before

makkiz [27]

Answer: Time taken by Ximena to paint the fence alone = 24 hours

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Step-by-step explanation:

Let x= Time taken by Ximena to paint the fence alone .

Time taken by Candice to paint the fence alone = x-12

As per given , we have

$\dfrac{1}{x}+\dfrac{1}{x-12}=\dfrac{1}{8}\\\\\Rightarrow\ \dfrac{x-12+x}{x(x-12)}=\dfrac{1}{8}\\\\\Rightarrow\ 8(2x-12)=x^2-12x\\\\\Rightarrow\ 16x-96=x^2-12x\\\\\Rightarrow\ x^2-12x-16x+96=0\\\\\Rightarrow\ x^2-28x+96=0\\\\\Rightarrow\ x^2-4x-24x+96=0\\\\\Rightarrow\ x(x-4)-24(x-4)=0\\\\\Rightarrow\ (x-4)(x-24)=0\\\\\Rightarrow x=4, 24$