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3 years ago

Give each trig as a fraction in simplest form

Mathematics

1 answer:

UkoKoshka [18]3 years ago

8 0

Let's first find the missing side length.
a^2+b^2=c^2
14^2+b^2=50^2
196+b^2=2500
-196 -196
b^2=2304
square root of 2304 = b
b=48
48=PQ

S=O/H C=A/H T=O/A

Sin Q = 7/25
Cos Q= 24/25
Tan Q = 7/24
Sin R= 24/25
Cos R= 7/25
Tan R= 3 3/7

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Andru [333]

Answer:

$ST = 12$

Step-by-step explanation:

By AA Similarity, triangles ASR and EST are similar.

The ratio of the lengths of the sides of triangle ASR to those of EST is 6/8 or 3/4.

$\dfrac{SR}{ST} = \dfrac{3}{4}$

Also,

$SR + ST = 21$

By a rule of proportions, you get

$\dfrac{SR + ST}{ST} = \dfrac{3 + 4}{4}$

$\dfrac{21}{ST} = \dfrac{7}{4}$

$7ST = 4 \times 21$

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3 years ago

When 5 is subtracted from the square of a number, the result is 4 times the number. Find the negative solution.

wariber [46]

Answer:

-1

Step-by-step explanation:

You can write it as...

$x^{2} -5=4x$

Carry the 4x

$x^{2} -4x-5=0$

Then use the quadratic formula to solve, since you want to find the negative solution, you don't need to find the positive solution, so we will have

$(4-\sqrt{16+20}) /2=\frac{4-6}{2}=\frac{-2}{2} =-1$

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ludmilkaskok [199]

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Step-by-step explanation:

It's the only table with a constant, which is required in a proportional relationship. The constant would be 1300 which you can find by divided the two numbers in each row.

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