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3 years ago

Points A,B, and C are collinear. Point B is between A and C. Solve for x.

Mathematics

1 answer:

Phoenix [80]3 years ago

3 0

Answer:

Ac=14 is you answer i think

Step-by-step explanation:

Hope this helps

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PLEASE ANSWER WILL GIVE POINTS!!!!!!!!!!!

iris [78.8K]

Given:

The figure of a right triangle ABC.

To find:

The trigonometric ratios $\sin B, \tan A, \cos B$ .

Solution:

Using Pythagoras theorem,

$Hypotenuse^2=Perpendicular^2+Base^2$

$AB^2=AC^2+BC^2$

$(10)^2=(6)^2+BC^2$

$100-36=BC^2$

$64=BC^2$

Taking square root on both sides.

$\sqrt{64}=BC$

$8=BC$

So, measure of BC is 8 units.

Now,

$\sin \theta=\dfrac{Opposite}{Hypotenuse}$

$\sin B=\dfrac{AC}{AB}$

$\sin B=\dfrac{6}{10}$

$\sin B=\dfrac{3}{5}$

Similarly,

$\tan \theta=\dfrac{Opposite}{Adjacent}$

$\tan A=\dfrac{AC}{BC}$

$\tan A=\dfrac{6}{8}$

$\tan A=\dfrac{3}{4}$

And,

$\cos \theta=\dfrac{Adjacent}{Hypotenuse}$

$\cos B=\dfrac{BC}{AB}$

$\cos B=\dfrac{8}{10}$

$\cos B=\dfrac{4}{5}$

Therefore, the required trigonometric ration are $\sin B=\dfrac{3}{5}, \tan A=\dfrac{3}{4}, \cos B=\dfrac{4}{5}$ .

6 0

3 years ago

Whats the answer to this problem????<br><br><br>the product of 6 and a number p is 24

Ad libitum [116K]

Well the P should probably be 4

7 0

3 years ago

Which graph could represent a constant balance in a bank account over time?

Vlad [161]

Answer:

ITS C STRAIGHT LINE ACROSS

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

The cost of 5 cans of dog food is 4.35. At this price ,how much do 11 cans of dog food cost

Setler [38]

Answer:

$9.57

Step-by-step explanation:

You have to do 4.35 divided by 5 to get how much 1 can cost. You will find out that 1 can cost $0.87. Next you will take how much one cost and mutiply it by 11. When you do that you will get 9.57. That is how you will get $9.57 as your answer.

5 0

3 years ago

Please the question below 55

Nataliya [291]

Answer:

The value of x is 17.32

Step-by-step explanation:

It can clearly be seen that the triangle is a right-angled triangle.

In the triangle, according to reference angle 13 degree,

Base = 30

Perpendicular = x

We can use trigonometric ratios for finding the value of x

As tangent includes both perpendicular and base, we can use this.

So,

$tan\ 30 = \frac{perpendicular}{base}\\tan\ 30 = \frac{x}{30}\\0.5773 = \frac{x}{30}\\x = 0.5773*30\\x = 17.319$

Rounding off to nearest hundredth

x = 17.32

Hence,

The value of x is 17.32

4 0

3 years ago