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zimovet [89]
2 years ago
14

In ΔKLM, the measure of ∠M=90°, LK = 89, ML = 80, and KM = 39. What ratio represents the tangent of ∠K?

Mathematics
2 answers:
vodka [1.7K]2 years ago
3 0

<u>Given</u>:

It is given that KLM is a right triangle.

The measure of ∠M is 90°

The length of LK is 89, ML is 80 and KM is 39.

We need to determine the ratio that represents the tangent of ∠K.

<u>Measure of tan ∠K:</u>

The measure of tan ∠K can be determined using the trigonometric ratio.

Thus, we have;

tan \ \theta=\frac{opp}{adj}

From the figure attached below, the side opposite to ∠K is ML and the side adjacent to ∠K is KM

Hence, substituting the values, we get;

tan \ k=\frac{ML}{KM}

where ML = 80 and KM = 39.

Substituting, we get;

tan \ k=\frac{80}{39}

Thus, the ratio that represents the tangent of ∠K is \frac{80}{39}

Nady [450]2 years ago
3 0

Answer:

80/39

Step-by-step explanation:

TanK = opposite/adjacent

TanK = LM/KM

= 80/39

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Answer:

El hijo solo tardará 3 horas en arar el campo

Step-by-step explanation:

Aquí, se nos dice que ambos pasan dos horas para arar el campo mientras que el padre solo pasa 6 horas.

Queremos saber el tiempo que pasará el hijo si va a trabajar solo

Sea el área del campo x

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Sumando la tasa de trabajo del padre a la del hijo da la tasa de trabajo total de ambos Por lo tanto;

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entonces y = 3

El hijo solo tardará 3 horas en arar el campo.

8 0
2 years ago
There are five sales agents in a certain real estate office. One month Andy sold twice as many properties as Ellen, Bob sold 3 m
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Answer:

Carry

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Let the number of properties sold by Ellen he 10. We were told Andy sold twice of this, this means he sold 20 properties

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Carry sold twice of Bob meaning he sold 26

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Carry sold 26 and this makes him the highest seller.

7 0
2 years ago
What is the exact value of the cos F?
Galina-37 [17]

Answer:

cos(F) = 9/41

Step-by-step explanation:

The triangles are similar, so you know that ...

... cos(D) = cos(A) = 40/41.

From trig relations, you know ...

... cos(F) = sin(D)

and

... sin(D)² +cos(D)² = 1

So ...

... cos(F) = sin(D) = √(1 -cos(D)²) = √(1 -(40/41)²) = √(81/1681)

... cos(F) = 9/41

_____

The ratio for cos(A) tells you that you can consider AB=40, AC=41. Then, using the Pythagorean theorem, you can find BC = √(41² -40²) = √81 = 9.

From the definition of the cosine, you know cos(C) = BC/AC = 9/41. Because the triangles are similar, you know

... cos(F) = cos(C) = 9/41

7 0
2 years ago
Pete has 4 packs of gumballs. Each pack has 5 gumballs. If Pete gives the same number of gumballs to 6 friends, how many gumball
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5 0
2 years ago
6q + 9 ≤ 9 and 6q + 9 ≥ −9
Ilya [14]
Hello there!

6q + 9 ≤ 9

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6q + 9 - 9 ≤ 9 - 9

6q ≤ 0

Then divide both sides by 6

6q/6 ≤ 0/6

q ≤ 0

--------------

The second equation
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Start by subtracting 9 from both sides

6q + 9  - 9 ≥ -9 - 9

6q ≥ -18

Divide both sides by 6

6q/6 ≥ -18/6

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Good luck with your studies!
7 0
2 years ago
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