3 years ago

Jonah went on a vacation to Germany. He took $1,800 with him. After 3 days, he had

Mathematics

1 answer:

skad [1K]3 years ago

8 0

Answer:

546

Step-by-step explanation:

subtract how much he has left by how much he started with

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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:

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

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3 years ago

Linda made $104 for 8 hours of work. At the same rate, how many hours would she have to work to make $143?

KatRina [158]

Answer:

11 hours

Step-by-step explanation:

104 dollars for 8 hours of work. So how much money per hour?

104/8= 13 dollars per hour

At the same rate = 13 dollars per hour, so

How many hours to make 143 dollars? With the same rate?

143/13 = 11 hours

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3 years ago

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Simplify 2(x + y) + 3(x + y)

ANTONII [103]

The answer would be 5x+5y

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3 years ago

A fifteen-passenger van is rented for a family vacation. The van rental is $60 per day,

bazaltina [42]

Answer:

Step-by-step explanation:

$60 + $145 = $205

$205 x 3 = $615

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2 years ago

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How many solutions does the equation 5x+1=-5x+10 have?

Varvara68 [4.7K]

Answer:

X=9/10

Step-by-step explanation:

5x+1=-5x+10

5x+5x= 10-1

10x=9

x=9/10

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3 years ago