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2 years ago

If tan(θ) = cot(40°), what is θ?

Mathematics

2 answers:

Luda [366]2 years ago

5 0

Answer:

Θ = 50°

Step-by-step explanation:

Using the cofunction identity

tan(90 - x)° = cotx°

Given

cot40°, then

tan Θ = tan(90 - 40)° = tan50°

Thus Θ = 50°

Evgesh-ka [11]2 years ago

4 0

Answer:

50 lol

Step-by-step explanation:

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F. -10x >45<br> Solve the two step inequality

Daniel [21]

Answer:

x < -4.5

Step-by-step explanation:

<u>Step 1: Solve for x</u>

-10x / -10 > 45 / -10

When dividing or multiplying by a negative, the sign flips.

x < -4.5

Answer: x < -4.5

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3 years ago

9x - 5 =12<br>what is x?

Ainat [17]

Answer: x = 17/9

Step-by-step explanation: Lets solve for x.

9x - 5 = 12

9x - 5 + 5 = 12 + 5

9x = 17

9x/9 = 17/9

x = 17/9

3 0

2 years ago

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fie abc un triunghi cu masura unghiului a de 90 de grade ab este 6 cm bc=10 si ca=8 calculati;sin b; tg b; sin c; tg c; cos b; c

lions [1.4K]

SinB = cosC = AC / BC = 8/10 = 4/5;
tgB = ctg C = AC/AB = 8/6 = 4/3, because we use T. Pitagora for calculating AB;
sinC = cosB = AB/ BC = 6/10 = 3/5;
tgC = ctgB = AB/ AC = 6/8 = 3/4.

6 0

2 years ago

A group of twelve people paid a tootle of 50 for admission if 8 of them were children how many were grouped as adults and how ma

Scrat [10]

8 children ($4 x 8 = $32)
2 adults ($6 x 2 = $12)
2 senior citizens ($3 x 2 = $6)

32+12+6 = 50

8 0

2 years ago

Line segment YV of rectangle YVWX measures 24 units.

oksian1 [2.3K]

Answer: $YX=13.85\ units$

Step-by-step explanation:

<h3> The complete exercise is: "Line segment YV of rectangle YVWX measures 24 units. What is the length of line segment YX?"</h3><h3> The missing figure is attached.</h3>

Since the figure is a rectangle, you know that:

$WV=YX\\\\YV=XW=24$

Notice that the segment YV divides the rectangle into two equal Right triangles.

Knowing the above, you can use the following Trigonometric Identity:

$tan\alpha =\frac{opposite}{adjacent}$

You can identify that:

$\alpha =30\°\\\\opposite=YX\\\\adjacent=YV=24$

Therefore, in order to find the length of the segment YX, you must substitute values into $tan\alpha =\frac{opposite}{adjacent}$ and then you must solve for YX.

You get that this is:

$tan(30\°)=\frac{YX}{24}\\\\(24)(tan(30\°))=YX\\\\YX=13.85$

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2 years ago

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