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Nookie1986 [14]

4 years ago

10

Geometry Help please?

1 answer:

Kipish [7]4 years ago

3 0

Look at side AB.
The slope is -1/4.

Look at side BC.
The slope is 4.

The product of -1/4 and 4 is -1. That makes segments AB and BC perpendicular and angle B a right angle. That makes triangle ABC a right triangle.

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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

Multiply by moving decimal point?24.6×100=

Marat540 [252]

Answer:2460

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

What is the difference between a parent and child function?

bogdanovich [222]

What do you mean ? Parent and child ?

7 0

3 years ago

Read 2 more answers

Evaluate the expression 15x + 4 for x = −1 1/2 (20 points + Brainliest for right answer)

SpyIntel [72]

Answer:

11/-30 Hope this helped :)

Step-by-step explanation:

15x + 4 = -1 1/2

15x = -5 1/2

x = 11/-2*1/15

x = - 11/-30

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3 years ago

what measuring tool did ancient mathematics have and how do they compare to the measuring tools we have today?

german

Answer:

Search it up my guy itsthere

Step-by-step explanation:

3 0

3 years ago