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2 years ago

How do you show the work to come to the conclusion that 2 equivalent ratios for 12/14 are6:7and 24:28

1 answer:

8 0

Reduce fractions to their most simple form
12/14 you can divide both up and bottom by 2
12/14→6/7

24/28, both up and bottom can be divided by 4
24/28→6/7
6/7=6/7=6/7

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Need help fast plz for my pre calc exam

bezimeni [28]

Answer:

<em>h = 8.54 units</em>

Step-by-step explanation:

<u>The Law of Cosines </u>

It relates the length of the sides of a triangle with one of its internal angles.

Let a,b, and c be the length of the sides of a given triangle, and x the included angle between sides a and b, then the following relation applies:

$c^2=a^2+b^2-2ab\cos x$

Since we know the values of all three side lengths, we solve the equation for x:

$\displaystyle \cos x=\frac{a^2+b^2-c^2}{2ab}$

For the triangle ABC in the image, a=10, b=15, c=13, thus:

$\displaystyle \cos A=\frac{10^2+15^2-13^2}{2*10*15}$

$\displaystyle \cos A=\frac{156}{300}$

$\displaystyle \cos A=0.52$

Thus, A = 58.67°

For the right triangle of height h and hypotenuse 10, we use the sine ratio:

$\displaystyle \sin 58.67^\circ=\frac{h}{10}$

Solving for h:

$h = 10\sin 58.67^\circ$

h = 8.54 units

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Step-by-step explanation:

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oee [108]

-3(b - 7)

Multiply -3 into the parenthesis.

= -3b + 21.

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