MATHEMATICS COLLEGE

ΔABC is a right triangle and ∠B is a right angle. If sin ∠A = 3/5, then what is the ratio for tan ∠C?

Answers

Answer 1

Answer:

Answer:

$Tan \ \angle C=(3)/(4)$

Step-by-step explanation:

-The sine of an angle in a right triangle is given as:

$Sin \ \theta=(Opposite)/(Hypotenuse)\n\n\therefore Sin \ \angle A=(3)/(5)$

-From this Trigonometric ratio, we calculate the length of the adjacent as:

$b^2+h^2=H^2\n\nb^2=5^2-3^2\n\nb^=4\n\n\therefore Adjacent=4$

We then calculate tan ∠C

$Tan \ \ theta=(Opposite)/(Adjacent)\n\nTan \ \angle C=(3)/(4)$

Answer 2

Answer:

Answer:

4/3

Step-by-step explanation:

The right triangle is a 3-4-5 triangle- the opposite side of a is 3 (based on 3/5 which is opp/hyp) and the hypnotuse is 5. The ohter side is 4 no matter how it is solved individually. For tan, it is opp/adj so the opp of angle c is 4 and the adj is 3. Therefore it is 4/3. :D The other person flipped it.

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-2x + y = 1
7x - y = -1

Answers

-8x+y

9-y

this is the answer because it is

Answer:

i dont know what you want but i will give you it to you in slope intercept form and the x and y intercept for both eqautions

Step-by-step explanation:

first equation:

y=2x+1

x intercept:(-1/2,0)

y intercept: (0,1)

second equation:

y=7x+1

x intercept:(-1/7,0)

y intercept: (0,1)

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8. Willow earns $10 per hour working part-time at a diner. Write and solve an inequality to determinethe number of hours, h, Willow must work in a week in order to earn more than $200. Then interpret
the solution.
Willow must work
hours this week.

Answers

Multiply the number of hours worked (h) by earnings per hour $10 to get

10h

This needs to be more than ( Greater than) 200

Now you have 10h > 200

Solve for h by dividing both sides by 10:

h >20

This means she needs to work more than 20 hours this week.

Answer:

10h=200

h=20

Step-by-step explanation:

10h=200

10h/10=200/10

h=20

Can someone help me with this please?

Answers

let's see what to do...

Figure A is scaled image of Figure B.

So Figure A must be made in a proportion of Figure B.

We should find the ratio:

to find the ratio we have to use the same known sides.

$ratio = (5)/(2) \n$

Also we have :

$ratio = (12.5)/(x) \n$

So we have :

$(5)/(2) = (12.5)/(x) \n$

Multiply the sides by 2x :

$5 \: x = 25 \n x = 5$

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

Can someone help me with this

Answers

Answer: 28 hours and 5 min

Step-by-step explanation:

So there are 60 min in hour so the fourmula would be 60x=1683 and when you solve you get 28.05

A circle is divided into 6 equal parts. What is the angle measure of 1 part?

Answers

The angle measure of one part will be 60.

360/6 = 60

That is because the circle it divided into 6 equal parts and the whole circle is 360.

Hope this helps :)

6.Write the equation in slope-intercept form for the line that passes through the given pointand is perpendicular to the given equation.5x + 3y = -21 and passes through (-5, 1)