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Anna007 [38]
3 years ago
11

In triangle ABC, angle c is a right angle. if cos A= 5/8, what is the value of cos B? A. 3/8

Mathematics
1 answer:
Debora [2.8K]3 years ago
6 0

Answer:

C. sqrt 39/8

Step-by-step explanation:

To solve this, we need to first draw the triangle.

cos Ф = adjacent / hypotenuse

cos A = 5/8 = adjacent / hypotenuse

From the diagram, when dealing with angle A,      AB= hypotenuse = 8 and AC=adjacent =5

But when we are dealing with angle B , then BC becomes the adjacent and AC  will now be the opposite, but AB still remains the hypotenuse, which implies, if we are looking for the value of COS B , we need to find side BC, we can easily do that using the Pythagoras theorem;

adjacent² + opposite² = hypotenuse²

adjacent² =  hypotenuse² - opposite²

  BC²        = AB² -  AC²

                =8² -  5²

                = 64 - 25

              = 39

BC =√39

adjacent = √39       hypotenuse =8

cos B = adjacent / hypotenuse

cos B  = √39 / 8

   

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b=180-90-65=25

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The table shows the ratio between the number of tickets ordered and their cost: Number of Tickets Cost (dollars) 5 20 7 28 9 36
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Answer:

  • (1, 4)
  • (2, 8)
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Step-by-step explanation:

The ratios all have ...

  first number : second number = 1 : 4

Using first numbers of 1, 2, 3, the second numbers can be found by multiplying these by 4. (1, 4), (2, 8), (3, 12)

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You plot these (x, y) points the same way you plot <em>any</em> point on a coordinate grid. The first (x) value is the horizontal distance from the vertical axis. Positive is to the right. The second (y) value is the vertical distance from the horizontal axis. Positive is up.

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3 0
4 years ago
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leva [86]

Answer:

x  ≤ – 3 or x ≥ 9.

Step-by-step explanation:

Given  : 9x ≤ –27 or 4x ≥ 36.

To find : Solve the compound inequality.

Solution : We have given  9x ≤ –27 or 4x ≥ 36.

For 9x ≤ –27 .

On dividing both sides by 9.

x  ≤ – 3.

For ,  4x ≥ 36.

On dividing both sides by 4.

x ≥ 9.

We can write x  ≤ – 3 or x ≥ 9.

Therefore,  x  ≤ – 3 or x ≥ 9.

3 0
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