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3 years ago

5.39 jings =15.4 hings

Mathematics

1 answer:

Dima020 [189]3 years ago

7 0

Step-by-step explanation:

It is given that,

5.39 jings =15.4 hings ....(1)

4.9 hings = 2.8 gings ...(2)

From equation (2), the value of 1 ging is :

$1\ \text{ging} = \dfrac{4.9}{2.8}\ \text{hing}\ .....(3)$

From equation (1), the value of 1 jing is :

$1\ \text{jing} = \dfrac{15.4}{5.39}\ \text{hing}\ .....(4)$

From equation (3) and (4), we get :

$\dfrac{\text{1 ging}}{\text{1 jing}}=\dfrac{4.9}{2.8}\times \dfrac{5.39}{15.4}\\\\\dfrac{\text{1 ging}}{\text{1 jing}}=\dfrac{49}{80} \\\\1\ \text{ging}=\dfrac{49}{80}\ \text{ jings}$

Hence, the correct option is (g) "49/80"

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vlabodo [156]

Answer:

The equation of the line is: y = x + 4

Step-by-step explanation:

When we are given two points passing through a line, we can find the equation of the line by using two - point form.

Two - point form: $\frac{\textbf{y - y}_\textbf{1}}{\textbf{y}_{\textbf{2}} \textbf{-} \textbf{y}_{\textbf{1}}} = \frac{{\textbf{x - x}_\textbf{1}}}{\textbf{x}_{\textbf{2}} \textbf{-} \textbf{x}_{\textbf{1}} }$

where $(x_1, y_1) \hspace{3mm} \& \hspace{3mm} (x_2, y_2)$ are the points passing through the line.

Here, let us take two points (can be any two):

$(x _1, y_1) = (1, 5)$ and

$(x_2, y_2) = (5, 9)$

Therefore, we have:

$\frac{y - 5}{9 - 5} = \frac{x - 1}{5 - 1}$

$\iff \frac{y - 5}{4} = \frac{x - 1}{4}$

$\iff y - 5 = x - 1$

$\implies y = x - 1 + 5$

$\implies y = \textbf{x + 4}$ which is the required answer.

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3 years ago

Explain why angle is considered a defined term in geometry.

77julia77 [94]

Answer:

An angle is considered a defined term in geometry because defined terms are terms that have a formal definition and can be defined using other geometrical terms.

Angle: Two rays that share the same endpoint, however, the rays take off in different directions. The area in the middle of the two rays is the angle measure.

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3 years ago

What is 0.043 written as a percent?

meriva

To find a percent you multiply the decimal number by 100. OR to be easier just move the decimal number 2 places to the right.

4.3%

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3 years ago

Solve the equation on the interval [0, 2pi): 12cos^2 x-9=0<br><br><br> What to do?

siniylev [52]

Answer:

$\large\boxed{x=\dfrac{\pi}{6}\ \vee\ x=\dfrac{5\pi}{6}\ \vee\ x=\dfrac{7\pi}{6}\ \vee\ x=\dfrac{11\pi}{6}}$

Step-by-step explanation:

$12\cos^2x-9=0\qquad\text{add 9 to both sides}\\\\12\cos^2x=9\qquad\text{divide both sides by 12}\\\\\cos^2x=\dfrac{9}{12}\\\\\cos^2x=\dfrac{9:3}{12:3}\\\\\cos^2x=\dfrac{3}{4}\to\cos x=\pm\sqrt{\dfrac{3}{4}}\\\\\cos x=\pm\dfrac{\sqrt3}{2}\\\\\text{Look at the picture}\\\\x=\dfrac{\pi}{6}\ \vee\ x=\dfrac{5\pi}{6}\ \vee\ x=\dfrac{7\pi}{6}\ \vee\ x=\dfrac{11\pi}{6}$

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3 years ago

Solve the system of equations using the linear combination method. {5m+3n=41 {3m−6n=9 Enter your answers in the boxes. m = n =

Masja [62]

These are linear equations that can be solved simultaneously;
5m+3n=41
3m-6n=9 (multiplying the first equation by 3 and the second by 5)

15m+9n=123
15m-30n= 45 (subtracting the two equations)
39n = 78
n = 2,
and for m, 3m = 9+6(2)
= 21
m = 7
Therefore, n=2 and m=7

8 0

3 years ago