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3 years ago

Which of the following is equivalent to the product below?

Mathematics

1 answer:

lilavasa [31]3 years ago

6 0

Answer:

square root 3 that is a the answer

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given sin A =3/-/34 and that angle S is in quadrant 1, find the exact value of tan A in simplest radical form using a ration

Vedmedyk [2.9K]

Answer:

$\tan(A) = \frac{3}{5}$

Step-by-step explanation:

Given

$\sin(A) = \frac{3}{\sqrt {34}}$

$0 \le A \le 90$ --- First Quadrant

Required

Find tan(A)

The sin of an angle is:

$\tan(A) = \frac{Opposite}{Hypotenuse}$

and

$\sin(A) = \frac{3}{\sqrt {34}}$

By comparison:

$Opposite = 3$

$Hypotenuse = \sqrt{34$

So, the Adjacent is:

$Hypotenuse^2 = Adjacent^2 + Opposite^2$

$(\sqrt{34})^2 = Adjacent^2 + 3^2$

$34 = Adjacent^2 + 9$

Collect like terms

$Adjacent^2 =34 - 9$

$Adjacent^2 =25$

Take square roots

$Adjacent =\sqrt{25$

$Adjacent =5$

The tangent of an angle is:

$\tan(A) = \frac{Opposite}{Adjacent}$

This gives:

$\tan(A) = \frac{3}{5}$

8 0

3 years ago

@mehek14

gayaneshka [121]

X=cost per hamburgurs
y=cost per hot dog

200x+150y=1450
200x+250y=1750

we can multiply first equation by -1 and add to 2nd

-200x-150y=-1450
<u>200x+250y=1750 +</u>
0x+100y=300

100y=300
divide both sides by 100
y=3

sub back

200x+150y=1450
200x+150(3)=1450
200x+450=1450
minus 450 both sides
200x=1000
divide both sides by 200
x=5

the cost of a hamburgur is $5
the cost of a hot dog is $3

8 0

3 years ago

Read 2 more answers

For f(x) = 2x +1 and g(x) = x^2-7, find (f/g) (x)

Rashid [163]

the answer is (f/g)(x) = 2(x^2 - 7) + 1
= 2x^2 - 14 + 1
= 2x^2 - 13

5 0

3 years ago

I have 7 mins to turn in, what’s the answer?? thanks :)

Ostrovityanka [42]

Answer:

A) x = 10-/3, y = 20