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svp [43]
2 years ago
15

The ratio of the lengths of the two legs of a right triangle is 3:4

Mathematics
1 answer:
Snowcat [4.5K]2 years ago
4 0

<em>Greetings from Brasil... </em>

Check Attachment!!!

According to the statement of the question, we have:

a/b = 3/4

<em>Note that according to the attached figure, </em><em>b > a</em><em>, then the correct proportion will be </em><em>a</em><em> to </em><em>3</em><em>, as well as </em><em>b</em><em> to </em><em>4</em><em>, because </em><em>b > a</em><em> and </em><em>4 > 3</em>

Isolating a and b:

a = 3b/4

b = 4a/3

From Pythagoras:

h² = a² + b² - as a = 3b/4 and b = 4a/3, so

<h3>b = 4h/5</h3><h3>a = 6h/5</h3>

For Area:

A = b.a/2

as b = 4h/5 and a = 6h/5, so

<h3>A = 12h/25</h3>

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Which trigonometric functions are negative in the fourth (IV) quadrant?
anzhelika [568]
<h3>Answers are: sine, tangent, cosecant, cotangent</h3>

Explanation:

On the unit circle we have some point (x,y) such that x = cos(theta) and y = sin(theta). The sine corresponds to the y coordinate of the point on the circle. Quadrant IV is below the x axis which explains why sine is negative here, since y < 0 here.

Since sine is negative, so is cosecant as this is the reciprocal of sine

csc = 1/sin

In quadrant IV, cosine is positive as x > 0 here. So the ratio tan = sin/cos is going to be negative. We have a negative over a positive when we divide.

Because tangent is negative, so is cotangent.

The only positive functions in Q4 are cosine and secant, which is because sec = 1/cos.

7 0
3 years ago
Use the linear combination method to solve the system of equations. Explain each step of your solution.
Vika [28.1K]

Answer:

1)y=-3+5x

2)y=5/2-1/2x

Step-by-step explanation:

for both equations

1) get your y by it self (subtract -5x and your new equation is now -y=-5x+3)

2)(reminder y can't be negative if it is negative) then you divide by -1 of both sides

3) your equation should now be y=5x-3

7 0
3 years ago
Look at the figure. Classify the pair of angles: &lt;2 and &lt;7.
s344n2d4d5 [400]

Answer:

Same-side exterior angles

Step-by-step explanation:

Through the process of elimination it is not:

→ Corresponding angles as that would be 2 and 6

→ Same side interior angles as that would be 3 and 6 or 4 and 5

→ Alternate interior angles as that would be 6 and 4 of 3 and 5

3 0
3 years ago
(08.05, 08.06 MC)
natali 33 [55]
Bbbbbbbbbbbbbbbbbbbbb

7 0
1 year ago
Sam has bought a camera for $200 when it was on 20% off sale. What was the original price of the camera
Olenka [21]
Original price = x
x - .2x = 200  ← original price - discount amount = sale price
.8x = 200     ← 1x - 0.2x = .8x
x = 250      ← divided both sides by .8

The original price was $250
5 0
3 years ago
Read 2 more answers
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