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jekas [21]
3 years ago
13

Given two trig ratios find the third!

Mathematics
2 answers:
KiRa [710]3 years ago
8 0

Answer:

Step-by-step explanation:

A trig identity is tan(x) = sin(x)/cos(x) so

tan(A) = (4/7)/(3/7) = 4/3

brilliants [131]3 years ago
7 0

Answer:

Step-by-step explanation:

tanA = sinA/cosA = (4/7)/(3/7) = 4/3

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A motorboat takes 5 hours to travel 100 kilometers going upstream. The return trip takes
tatuchka [14]

Step-by-step explanation:

Let's say b is the rate of the boat in still water, and c is the rate of the current.

Distance = rate × time

Going upstream:

100 = (b − c) (5)

20 = b − c

Going downstream:

100 = (b + c) (2)

50 = b + c

Solve the system of equations using substitution or elimination.  Using elimination, add the equations together:

70 = 2b

b = 35

c = 15

The boat's speed is 35 km/h, and the current's speed is 15 km/h.

8 0
3 years ago
At Elisa's printing company, there are two kinds of printing presses: Model A, which can print 70 books/ day, and model B, which
Dmitrij [34]

Answer:

9 Model As.

Step-by-step explanation:

Let A represent Press A and let B represent Press B.

So, they own 14 total presses. This means that:

A+B=14

They can print 905 books per day, in other words, since A prints 70 per day and B prints 55 per day:

70A+55B=905

This is now a system of equations. Solve by substitution. From the first equation, subtract B from both sides:

A=14-B

Substitute this into the second equation: "

70(14-B)+55B=905

First, we can divide everything by 5 to simplify things:

14(14-B)+11B=181

Distribute the left:

196-14B+11B=181

Combine like terms:

-3B+196=181

Subtract 196 from both sides:

-3B=-15

Divide both sides by -3

B=5

So, the company has 5 Model B presses.

Which means that the company has 14-5 or 9 Model A presses.

And we're done!

3 0
3 years ago
Add<br> 60 5/9 <br> 54 1/3<br> 59 1/3<br> 56 1/6<br> _____<br><br> Thank You!
kykrilka [37]

Answer:

230 5/9

Step-by-step explanation:

after adding tou would get 230 5/9

8 0
4 years ago
A line segment connecting any two opposite Vertex of a quadrilateral​
Wewaii [24]

Answer:

As applied to a polygon, a diagonal is a line segment joining any two non-consecutive vertices. Therefore, a quadrilateral has two diagonals, joining opposite pairs of vertices. For any convex polygon, all the diagonals are inside the polygon, but for re-entrant polygons, some diagonals are outside of the polygon.

Step-by-step explanation:

5 0
3 years ago
Explain how to estimate 368 + 231 in two different ways
Komok [63]
First way. you could round to the tens place and add. 370 + 230 about 600.

round to the nearest hundreds. 400 plus 200. about 600.
3 0
3 years ago
Read 2 more answers
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