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sukhopar [10]
2 years ago
7

In ΔJKL, j = 74 cm, k = 14 cm and l=80 cm. Find the measure of ∠J to the nearest degree.

Mathematics
1 answer:
natita [175]2 years ago
6 0

Answer:

  ∠J = 60°

Step-by-step explanation:

The Law of Cosines tells you ...

  j² = k² +l² -2kl·cos(J)

Solving for J gives ...

  J = arccos((k² +l² -j²)/(2kl))

  J = arccos((14² +80² -74²)/(2·14·80)) = arccos(1120/2240) = arccos(1/2)

  J = 60°

_____

<em>Additional comment</em>

It is pretty rare to find a set of integer side lengths that result in one of the angles of the triangle being a rational number of degrees.

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2/3x = y -6 linear or nonlinear
djyliett [7]

Answer:linear

Step-by-step explanation:

If you go onto desmos and write the equation you get a straight line and it’s not curved

3 0
3 years ago
The percent increase of the airline ticket is ___%
JulsSmile [24]

Answer:

Step-by-step explanation:

%change=100(final-initial)/(initial)

For just the ticket

%change=100(375-300)/300=25%

For the ticket and baggage fee of $50

%change=100(375+50-300)/300=42%

7 0
3 years ago
Zx and Zy are supplementary angles. Zy measures 108°,
gulaghasi [49]

Answer:

72°

Step-by-step explanation:

Given

Zy = 108°

Zx = ?

We know

Zx + Zy = 180° {being supplementary angles }

Zx + 108° = 180°

Zx = 180° - 108°

Zx = 72°

Hope it will help :)

4 0
3 years ago
7. a hockey arena has 10 920 seats. the first row of seats around the rink has 220 seats. the number of seats in each subsequent
Mazyrski [523]

The number of rows in the arena is 26

<h3>How to determine the number of rows?</h3>

The hockey arena illustrates an arithmetic sequence, and it has the following parameters:

  • First term, a = 220
  • Sum of terms, Sn = 10920
  • Common difference, d = 16

The number of rows (i.e. the number of terms) is calculated using:

S_n = \frac{n}{2}(2a + (n -1) * d)

So,we have:

10920 = \frac{n}{2}(2 * 220 + (n -1) * 16)

Evaluate the terms and factors

21840 = n(440 + 16n -16)

Evaluate the like terms

21840 = n(424+ 16n)

Expand

21840 = 424n + 16n^2

Rewrite as:

16n^2 + 424n - 21840 = 0

Using a graphical tool, we have:

n = 26

Hence, the number of rows in the arena is 26

Read more about arithmetic sequence at:

brainly.com/question/6561461

#SPJ1

4 0
2 years ago
Suppose that during one period extreme cold,the average daily temperature decreased 1 1/2 F each day. How many days did it take
Alenkasestr [34]

We have been given that during one period extreme cold, the average daily temperature decreased 1\frac{1}{2} degree F each day. We are asked to find number of days it will take for the temperature to decrease by 9 degree F.

First of all we will convert our mixed fraction into improper fraction.

1\frac{1}{2}=\frac{3}{2}

Now we will divide total temperature change (9) by average daily temperature change (\frac{3}{2}) to find number of days.

9\div\frac{3}{2}

Dividing a number by a fraction is same as multiplying the number by reciprocal of the fraction.

9\cdot\frac{2}{3}

3\cdot2=6

Therefore, it will take 6 days for the temperature to decrease by 9 degree F.

7 0
2 years ago
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