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3 years ago

In trainable abc Lehigh trigonometric ratio equals 3/2?

Mathematics

1 answer:

Harman [31]3 years ago

6 0

In a right triangle, the tangent of an angle is the length of the opposite side divided by the length of the adjacent side.

$\tan\alpha=\dfrac{opposite}{adjacent}$

$\dfrac{3}{2}=\dfrac{opposite}{adjacent}\to opposite=3,\ adjacent=2$

therefore your answer is:

$C.\ \tan C$

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Use elimination to solve and match each system of equations to the correct solution.

podryga [215]

$\begin{cases}2x-9y=-51\\2x-3y=-9\end{cases}\\\\\\\begin{cases}(2x-9y)(-1)=-51(-1)\\2x-3y=-9\end{cases}$

$\begin{cases}-2x+9y=51\\2x-3y=-9\end{cases}$ (adding the second equation to the first one)

$\begin{cases}\qquad6y=42\\2x-3y=-9\end{cases}\\\\\\\begin{cases}\qquad y=7\\2x-3y=-9\end{cases}\\\\\\\begin{cases}y=7\\2x-3(7)=-9\end{cases}\\\\\\\begin{cases}y=7\\2x-21=-9\end{cases}\\\\\\\begin{cases}y=7\\2x=12\end{cases}\\\\\\\begin{cases}x=6\\y=7\end{cases}$

7 0

3 years ago

Mr. Akika has 30 24-cent and 33-cent stamps all told. The stamps are worth $8.91. How many of each kind of stamp does he have?

riadik2000 [5.3K]

Answer:

24-cent: 11
33-cent: 19

Step-by-step explanation:

I find it easiest to solve these using the variable to represent the number of the most-expensive item. Let x represent the number of 33-cent stamps. Then the total value (in cents) is ...

33x +24(30 -x) = 891

9x = 171 . . . . . . . . . . . . . subtract 24(30), collect terms

x = 19 . . . . . . . . . . . . divide by 9

30-x = 11 . . . . . . . find the number of 24-cent stamps

Mr. Akika had 11 24-cent stamps and 19 33-cent stamps.

_____

Additional comment

You seem to have several of these to solve. They all have a similar solution.

If we let x represent the number of higher-value items, N, the total number of items, V the total value, and v1 and v2 the individual values (v2 > v1), the equation is ...

v2(x) +v1(N -x) = V

x(v2 -v1) = V -v1·N

x = (V -v1·N)/(v2 -v1) . . . . generic solution

Using this formula in the problem here, we find ...

x = (891 -24(30))/(33 -24) = 171/9 = 19 . . . as above

7 0

2 years ago

<img src="https://tex.z-dn.net/?f=2%20%2B%202%282%20%2B%202%20%20%5Ctimes%200%292%20%2B%200%20%3D" id="TexFormula1" title="2 + 2

Vaselesa [24]

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2+2(2+2*0)2+0
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8 0

3 years ago

Number of real solutions? 8x^2 - 11x = -3 -4x^2 - 4 = 8x

Anna71 [15]

(1) ANSWER

$x = \frac{3}{8} \: or \: x = 1$

(2) ANSWER

$x = - 1$

3 0

3 years ago

Which expressions are equivalent to 15 ?

sergey [27]

Answer:

I think is number A

What do you Think?

7 0

3 years ago