Select at the tru statements about this graph

Answer:

C.

Step-by-step explanation:

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:

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.

Answer: 5 cm

Step-by-step explanation:

since the last step in finding area of a triangle is divide by 2, multiply the area by 2 to get the original number

30 x 2 = 60

area/base = height

60/12 = 5

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:

X+2=2x

x+8=8x

(2x).(8x)=16x

40÷95= 0.42

so I would say about 42.1%

><

Answer:

It has no solution.

Step-by-step explanation:

6x + 3 + 4x = 9 + 10x

10x + 3 = 9 + 10x

10x + 3 - 3 = 9 - 3 + 10x

10x = 6 + 10x

10x - 10x = 6 + 10x - 10x

0 ≠ 6

It has no solution.

Given:

The expression is:

[tex]-6\dfrac{1}{4}-2\dfrac{1}{8}[/tex]

To find:

The simplified form of the given expression.

Solution:

We have,

[tex]-6\dfrac{1}{4}-2\dfrac{1}{8}[/tex]

Write the mixed fractions in the form of improper fractions.

[tex]=-\dfrac{6(4)+1}{4}-\dfrac{2(8)+1}{8}[/tex]

[tex]=-\dfrac{24+1}{4}-\dfrac{16+1}{8}[/tex]

[tex]=-\dfrac{25}{4}-\dfrac{17}{8}[/tex]

Taking LCM, we get

[tex]=\dfrac{2(-25)-17}{8}[/tex]

[tex]=\dfrac{-50-17}{8}[/tex]

[tex]=\dfrac{-67}{8}[/tex]

Now write this improper fraction in the form of mixed fraction.

[tex]=-\dfrac{64+3}{8}[/tex]

[tex]=-\left(\dfrac{64}{8}+\dfrac{3}{8}\right)[/tex]

[tex]=-\left(8+\dfrac{3}{8}\right)[/tex]

[tex]=-8\dfrac{3}{8}[/tex]

Therefore, the correct option is B.

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:

I have no idea

Step-by-step explanation:

Answer:

sorry, but I think u got yr question incomplete.

u can re post it with figure

Answer:

2 2/3

Step-by-step explanation:

4 × 2/3

4/1 × 2/3

8/3

2 2/3

The answer is 2 2/3.

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

4 containers of blueberries to make blueberry muffins, each container holds 2/3 cup,

she also used 1 2/4 cups of sugar to make the blueberry muffins and 1 1/4 cups of sugar to make banana bread

now, we get,

4 × 2/3

=4/1 × 2/3

=8/3

=2 2/3

hence, The answer is 2 2/3.

To learn more on multiplication click:

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Answer:

Step-by-step explanation:

d

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:

An experiment is done to see the health effect of large amounts of aspirin on rats. ... 2. Apples sell for 43 cents a pound. How much do 3.2 pounds of apples cost? ... A solid gold nugget is 23.5 ounces. How much is it worth? 23.5 oz x. $500 lez ... 5. A chocolate bar weighs 4.00 ounces.

Step-by-step explanation:

Answer: 8

Step-by-step explanation:

2 cups = 16

Half of the 16 is 8

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:

Z' = (6, 3 )

Step-by-step explanation:

Under a reflection in the line y = x

a point (x, y ) → (y, x ) , then

Z (3, 6 ) → Z' (6, 3 )

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

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Answer:

0.21

Step-by-step explanation:

Move the decimal two places to the left.

Answer:

d should be correct

Step-by-step explanation:

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

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:

The ratio of student to teacher is 12.3 to 1

Answer:

y - 9 = -8(x + 2)

Step-by-step explanation:

What is the equation in point-slope form for the line parallel to y=-8x - 5 that contains j(-2, 9)

Step 1

y intercept =

y = mx + b

y=-8x - 5

m = -8, b = -5

Point slope form

y - y1 =m( x - x1)

We are given coordinates:

j(-2, 9) = (x1, y1) where ,

x1 = -2

y1 = 9

Hence, our point slope form equation is:

y - 9 = -8(x -(-2))

y - 9 = -8(x + 2)

Answer: 6

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

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.