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VMariaS [17]
3 years ago
11

Find tan in the triangle ​

Mathematics
1 answer:
grigory [225]3 years ago
8 0

Answer:

35/12

Step-by-step explanation:

The tangent in a triangle is always the opposite side divided by the  adjacent side. In this triangle, BC is the side opposite to angle a, and AC is the side adjacent to angle A.

However, we do not know what AC is, but we can use the pythagorean theorem to solve. 37^2-35^2=144\\\\, which is 12 squared. Therefore, AC is 12 units in length.

Now we have all the sides of the triangle and we can divide the opposite side by the adjacent side. We get 35/12.

Hope this helps!

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Steve travels 2 times as fast as Jill. Traveling in opposite directions, they are 120 miles apart after 2.5 hours. Find their ra
Tcecarenko [31]

let's recall that d = rt, distance = rate * time.

we know that Steve is twice as fast as Jill, so say if Jill has a speed or rate of "r", then Steve is traveling at 2r fast, now we know they both in opposite directions have covered a total of 120 miles, so if Jill covered "d" miles then Steve covered 120 -d, check the picture below.

\begin{array}{lcccl} &\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\ \cline{2-4}&\\ Jill&d&r&2.5\\ Steve&120-d&2r&2.5 \end{array}~\hfill \begin{cases} d=2.5r\\[2em] 120-d=5r \end{cases} \\\\\\ \stackrel{\textit{substituting on the 2nd equation}}{120-2.5r=5r\implies 120=7.5r}\implies \cfrac{120}{7.5}=r\implies \stackrel{Jill's}{16=r}~\hfill \stackrel{Steve's}{32}

6 0
2 years ago
Find the coordinate of the midpoint of the segment with the given endpoints -7 and 8
Pachacha [2.7K]

Answer:

<em>The coordinate of the midpoint is 1/2</em>

Step-by-step explanation:

<u>Midpoint</u>

The midpoint of a segment defined in a one-dimension system is

\displaystyle \bar x=\frac{x_1+x_2}{2}

Where x1 and x2 are the coordinates of the points.

The given segment has endpoints x1=-7 and x2=8, thus:

\displaystyle \bar x=\frac{-7+8}{2}

\displaystyle \bar x=\frac{1}{2}

The coordinate of the midpoint is 1/2

5 0
4 years ago
Turner has 6 pounds of pasta.Each Time he makes dinner he uses 3/4 pound of pasta.How many dinners can he make?
gtnhenbr [62]
3/4 is equal to 0.75

So, 6 divided by 0.75 which gives you 8
or it could also be written as 6 divided by 3/4 which is also 8..

SO in summary, Turner can make 8 dinners
7 0
4 years ago
Read 2 more answers
Please answer as soon as you can.
madam [21]
Ratio is 4 please like!
6 0
3 years ago
What is the relationship between the magic constant (the sum of each row) and the sum of all the numbers in the square? Why does
NARA [144]

Let's say each row sums to 15

If we had 3 rows, then the total sum would be 3*15 = 45

If we added all of the values in the 3x3 magic square, then we'd get 45 as well.

This is one example showing that

sum of all values = (number of rows)*(magic constant)

You can replace "rows" with columns to get the same idea, because each column also adds to the same magic constant. The diagonals are an exception since we only have two of them.

8 0
3 years ago
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