Two angles are supplementary. One angle is 45 degrees and the other angle measures (4x-5)
degrees. What is the value of x?
A. 35
B. 130
C. 32.5
D. 12.5

Given:

In a right angle triangle θ is an acute angle and [tex]\tan\theta =\dfrac{3}{5}[/tex].

To find:

The value of [tex]\cos \theta[/tex].

Solution:

In a right angle triangle,

[tex]\tan \theta=\dfrac{Perpendicular}{Base}[/tex]

We have,

[tex]\tan\theta =\dfrac{3}{5}[/tex]

It means the ratio of perpendicular to base is 3:5. Let 3x be the perpendicular and 5x be the base.

By using Pythagoras theorem,

[tex]Hypotenuse=\sqrt{Perpendicular^2+base^2}[/tex]

[tex]Hypotenuse=\sqrt{(3x)^2+(5x)^2}[/tex]

[tex]Hypotenuse=\sqrt{9x^2+25x^2}[/tex]

[tex]Hypotenuse=\sqrt{34x^2}[/tex]

[tex]Hypotenuse=x\sqrt{34}[/tex]

In a right angle triangle,

[tex]\cos \theta=\dfrac{Base}{Hypotenuse}[/tex]

[tex]\cos \theta=\dfrac{5x}{x\sqrt{34}}[/tex]

[tex]\cos \theta=\dfrac{5}{\sqrt{34}}[/tex]

Therefore, the value of [tex]\cos \theta[/tex] is [tex]\dfrac{5}{\sqrt{34}}[/tex].

Answer:

[tex] \displaystyle x \approx 47.44[/tex]

Step-by-step explanation:

we are given a right angle triangle

we want to figure out x i.e hypotenuse

in order to do so we can consider trigonometry i.e sin

remember that,

[tex] \displaystyle \sin( \theta) = \frac{opp}{hypo} [/tex]

given that,theta=21° and opp=17 and hypo=x

Thus substitute:

[tex] \displaystyle \sin( {21}^{ \circ} ) = \frac{17}{x} [/tex]

cross multiplication:

[tex] \displaystyle x\sin( {21}^{ \circ} ) = {17}[/tex]

divide both sides by sin21°:

[tex] \displaystyle x \frac{\sin( {21}^{ \circ} ) }{ \sin( {21}^{ \circ}) }= \frac{17}{ \sin( {21}^{ \circ} ) }[/tex]

By using calculator we acquire:

[tex] \displaystyle x \approx 47.44[/tex]

Answer:

Step-by-step explanation:

d

Answer:D

Step-by-step explanation:

Answer: 0

Step-by-step explanation: it said round to the nearest hundredth when you just need 0.21 so 0.21 rounded to the nearest hundredth is going to be 0.

Answer:

(2x+5x)-6=50

          7x =56

              x=8

5>2, so 5 is the bigger one

5*8=40

the answer is 40

Answer:

x (23+12)= 280

Step-by-step explanation:

X=8

add 23 plus 12 which equals 35

then multiply 35 by 8

Hope it helps

Answer:

-x + 39 = 31

Step-by-step explanation:

You would subtract 39 which would make -8. Then you would divide by -1 (x) and your answer is:

x = 8

Answer:

No

Step-by-step explanation:

Meters per second is how many meters in one second

meters/second is meters divided by one second

Hope this helps you understand better!

It is the same but the teacher may be trying to get you to put it that way for future math problems.

Answer:

I have no idea

Step-by-step explanation:

Answer:

The slope is 4x

The y-intercept is -5

Slope-intercept form = y = 4x - 5

Step-by-step explanation:

I hope this helps.

Answer:

mark lazyboss330 as brainliest :D

why havent u been active for like a month? :c

Answer:

d should be correct

Step-by-step explanation:

why my answer beacuse i see 4in in the painted area

Answer:

[tex]x=80[/tex]°

Step-by-step explanation:

[tex]sum ~of ~3~angles ~of ~a~ triangle ~is ~180[/tex]

[tex]80+20+x=180[/tex]

[tex]x=missing ~angle[/tex]

[tex]100+x=180[/tex]

[tex]x=180-100=80[/tex]

[tex]So, x=80[/tex]

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

hope it helps...

have a great day!!

Answer:

8 meters

Step-by-step explanation:

To find the perimeter follow these steps:

1. add the lengths together (the longe sides) so add 3 meters and 3 meters you get 6 meters

2. add the widths together (the short sides) so add 1 meter and 1 meter you get 2 meters

3. add the total lengths and widths together (6 meters plus 2 meters) you get 8 meters

Have a fantastical day!

Answer:

No

Step-by-step explanation:

you can check with the pythagorean theory

[tex]8^{2}+9^{2} =12^{2}[/tex]

64 + 81 = 144

145 = 144

this is not true, therefore those side lengths do not make a right triangle.

The possible rational roots are (a) ±3, (b) ±1, (e) ±5

The polynomial function is given as:

f(x) = 5x^2 - 3x + 3

Take the factors of the first term and the last term

5 = 1, 5

3 = 1, 3

The rational root is then calculated using:

Roots =±(Factors of 3)/(Factors of 5)

This gives

Roots =±(1, 3)/(1, 5)

Solve the expression

Roots = ±1, ±3/5, ±1/5, ±3

Hence, the possible rational roots are (a) ±3, (b) ±1, (e) ±5

Read more about rational roots at:

https://brainly.com/question/17754398

#SPJ1

Answer: 6

Step-by-step explanation: subtract 13 from 37, you get 24. divide 24 by 4.

Answer:

sorry, but I think u got yr question incomplete.

u can re post it with figure

Answer:

92 in

Step-by-step explanation:

just break it down into parts

Answer: 92in²

Step-by-step explanation: area of shaded region=9×12-4×4=92in²

Answer:

I think B

Step-by-step explanation:

plz let me know if i'm wrong tho

Answer:

Y || Z

Step-by-step explanation:

Perpendicular Transversal Theorem

If two lines are perpendicular to the same line, then the two perpendicular lines are parallel.

Answer:

for just chile id put it at 30 or 20

Step-by-step explanation:

Answer: 8

Step-by-step explanation:

2 cups = 16

Half of the 16 is 8

40÷95= 0.42

so I would say about 42.1%

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Answer:

what they said^

Step-by-step explanation:

Answer:

0.21

Step-by-step explanation:

Move the decimal two places to the left.

Answer:

[tex]Nevaeh \ will \ have \ 1224.33 \ and \ Paisley \ will \ have \ 1275.[/tex]