Which trigonometric ratio is correct?
O
tanA= opp/adj
sinA= adj/opp
COSA= opp/hyp
sinA= opp/adj

Answer:

25/99 and the ones you selected

Step-by-step explanation:

Irrational numbers are decimals that do not repeat. 25/99 does not repeat but goes on forever. Same with the other choices like square root of 17 and 18, as well as 0.48...

Hope this helps!

:)

Answer:

centre = (0, 0 ), radius = 5

Step-by-step explanation:

The equation of a circle centred at the origin is

x² + y² = r² ( r is the radius )

x² + y² = 25 ← is in this form

with centre = (0, 0 ) and r = [tex]\sqrt{25}[/tex] = 5

Answer:

y= 6x -8

Step-by-step explanation:

Slope-intercept form:

y= mx +c, where m is the gradient and c is the y-intercept.

[tex]\boxed{gradient = \frac{y1 - y2}{x1- x2} }[/tex]

Gradient

[tex] = \frac{4 - ( - 2)}{2 - 1} [/tex]

= 6

y= 6x +c

To find the value of c, substitute the equation with a pair of coordinates.

When x= 1, y= -2,

-2= 6(1) +c

c= -2 -6 (-6 on both sides)

c= -8

Thus, the equation of the line is y= 6x -8.

Answer:

1. Convex 15-gon, Convex 18-gon, Convex 45-gon

2. Increases

3. Decreases

4. Increases

5. Stays the same

Step-by-step explanation:

The formula for finding the measure of an interior angle, θ, of a polygon with 'n' sides is given as follows;

[tex]\theta = \dfrac{(n - 2) \times 180}{n}[/tex]

1. Polygons that have interior angles with whole numbers are factors of 180

The factors of 180 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, and 180

Therefore, from the options, the polygon that have whole number interior angles are;

15, 18, and 45

Which gives;

Convex 15-gon

θ₁₅ = (15 - 2) × 180°/15 = 156°

Convex 18-gon

θ₁₈ = (18 - 2) × 180°/18 = 160°

Convex 45-gon

θ₄₅ = (45 - 2) × 180°/45 = 172°

2. From the equation of the interior angles of a polygon, [tex]\theta = \dfrac{(n - 2) \times 180}{n}[/tex], we have;

As n increases, (n - 2)/n increases towards 1

Therefore, as the number of sides 'n' of a polygon increases, the interior angle of the polygon increases

3. Given that the sum of the interior and exterior angles of a polygon is 180°, as the interior angles increases as the number of sides increases, the exterior angle decreases

4. The total sum of the angles increases as the number of sides of the polygon increases and decreases as the number of sides of the polygon decreases

5. The sum of the exterior angles of a polygon is given as follows

[tex]n \times (180^{\circ} - \theta) = n \times \left(180^{\circ} - \dfrac{(n - 2) \times 180^{\circ}}{n} \right) = n\cdot 180^{\circ} - n\cdot 180^{\circ} + 360^{\circ}[/tex]

[tex]n \times (180^{\circ} - \theta) = 360^{\circ}[/tex]

Therefore, total sum of the exterior angles of a regular polygon is always (remains the same) 360°.

Answer:

the first one

Step-by-step explanation:

Answer:

S∪B = {a,b,e,a,d,f,g}

Step-by-step explanation:

According to the Question,

Given, S and T are subsets of a universal set U ( U = {a, b, c, d, e, f, g, h, i} )

And, S = {a, b, e} , T = {a, d, f, g}

Thus, S∪B(S union B) = n(S) + n(T)

S∪B =  {a,b,e,d,f,g}     (There It contains all the elements present in S & B).

Answer:

75.06239187

Step-by-step explanation:

1/2bh= Area of a Triangle

6^2+b^2=8.5^2 because we are missing a side we need to use the pythagorean theorem.

36+b^2=72.25

b^2=36.25

b=6.02

6.02+19= base

25.02

Now area

1/2bh

1/2 (25.02*6)

25.02*6= 150.1247

150.1247/2= 75.06239187 is Area

The above decimals before area are rounded.

Answer:

0

Step-by-step explanation:

When a number is not included or used, it can be considered 0.

This makes sense, because if it had a actualy value, it would effect the polynomial, and change the answer.

The only time it would  not effect the polynomial is when it 0.

Hope this makes sense :D

Answer:

There are 680 buttons altogether

Step-by-step explanation:

Here, we want to get the total number of buttons

From the question, the ratio of number of red to white buttons is 4:7

mathematically, this mean;

r:w = 4:7 = ?/280

thus;

4/7 = ?/280

7 * ? = 280 * 4

? = (280 * 4)/7

? = 40 * 4 = 160

From here, we can see that the number of white buttons is 160

from the second part of the question,

b:r = 3:2 = ?:160

3/2 = ?/160

2 * ? = 160 * 3

? = 480/2

? = 240

Thus, we have the sum total of the number of buttons as;

240 + 280 + 160 = 680

Answer:

y = 2

Step-by-step explanation:

Using the sine ratio and the exact value

sin45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then

sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{\sqrt{2} }{y}[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )

y = ([tex]\sqrt{2}[/tex] )² = 2

Answer:

it cant cause its simplified as much as it can be

Step-by-step explanation:

iknow

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\mathsf{\dfrac{9}{10} \div \dfrac{1}{5}}[/tex]

[tex]\mathsf{= \dfrac{9}{10}\times\dfrac{5}{1}}[/tex]

[tex]\mathsf{= \dfrac{9\times5}{10\times1}}[/tex]

[tex]\mathsf{9 \times 5 = \boxed{\bf 45} \ (numerator)}[/tex]

[tex]\mathsf{10\times 1 = \boxed{\bf 10} \ (denominator)}[/tex]

[tex]\mathsf{= \dfrac{45}{10}}[/tex]

[tex]\mathsf{= \dfrac{45\div5}{10\div5}}[/tex]

[tex]\mathsf{45\div 5 = \boxed{\bf 9} \ (numerator)}[/tex]

[tex]\mathsf{10 \div 5 = \boxed{\bf 2} \ (denominator)}[/tex]

[tex]\mathsf{= \dfrac{9}{2}}[/tex]

[tex]\mathsf{= 4\dfrac{1}{2}}[/tex]

[tex]\boxed{\boxed{\large\text{Answer: }\mathsf{\bf 4 \dfrac{1}{2}}\large\text{ \bf or }\mathsf{\bf \dfrac{9}{2}}}}\huge\checkmark[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

A)4

Step-by-step explanation:

degree measure of the 4 angles of a trapezoid is 360

so

since we have only 2 angles, 360/2

180=125+(14x-1)

180-125=125+(14x-1)-125

55=14x-1

55+1=14x-1+1

56=14x

4=x or x=4

hope this helps!

Answer:

x = 4

Step-by-step explanation:

The interior angles of a parallelogram always add up to 360 degrees.

We already know that one of the angles is 125 degrees, so we can subtract 125 from 360, leaving us with 235.

The angle right across from the 125 angle is congruent to it and so now we can subtract another 125 from 235, leaving us with 110 degrees.

There are 2 angles left, they are both the same measurement, so we can divide 110 by 2, leaving us with 55.

This means that 14x - 1 = 55

Time to find x

First, we are going to add 1 to both sides in order to cancel it out.

14x - 1 + 1 = 55 + 1

14x = 56

Now, we are going to divide both sides by 14 in order to cancel it out.

14/14 x = 56/14

x = 4

Hope this helps!

Answer:

do pi times diameter divided 8 and you'll get your answer :)

Step-by-step explanation:

so do 3.14 times 26.4 divided 8

Answer:

1. Ethan

2. 2.5 tons

3. 72 in

4. 5.7 mi

Step-by-step explanation:

1. Convert to pints by multiplying gallons by 4 to get quarts and quarts by 4 to get pints then compare.

2. Divide pounds by 2000 to get tons

3. Multiply by 12

4. Divide by 5280 to turn feet into miles

Answer:

answer is option C

3+7=10

7-3=4

C.

Step-by-step explanation:

x + y = 10

x - y = 4

x = 4 + y

Okay, so now we substitute our third equation into equation 1. Then equation one becomes..

4 + y + y = 10

4 + 2y = 10 ┌(・。・)┘♪

Mk now we subtract 4 from both sides ofc.

2y = 10 - 4

2y = 6

Now divide by 2

y = 3

And now the last one-

substituting y = 3 into equation 3 to find the value of x!

(. ❛ ᴗ ❛.)

x = 4 + y, x = 4 + 3, x = 7

So, that's how I got this answer! (◕ᴗ◕✿)

Answer: 2 and 7

Step-by-step explanation: prime number is a number that is divisible only by itself and 1

Answer:

C).

Step-by-step explanation:

One of the points on the graph that the path of bike b crosses is (6,60).

When you divide this to find the unit rate you get 10/1 therefore the equation of bike b= y+10X

Answer:

20

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

the greatest common factor of 16 and 48 is 16

Factors for 16: 1, 2, 4, 8, and 16.

Factors for 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48.

Answer:

C = 6 pi ft

Step-by-step explanation:

Circumference is given by

C = 2*pi*r

C = 2 * pi *3

C = 6 pi ft

Answer:

what are you talking about dude.

Answer:

the answer is 14m

Step-by-step explanation:

sorry Kung Hindi Tama aNg sagot.piro Sana makatolong

Answer:

I am almost 100% sure the answer is D.

Step-by-step explanation:

Deductive reasoning is the process of reasoning logically from given statements to make a conclusion. Deductive reasoning is the type of reasoning used when making a Geometric proof, when attorneys present a case, or any time you try and convince someone using facts and arguments.

Answer:

$2.498

Step-by-step explanation:

Answer:

2x +3y= 5xy

-1(2x+y= 2xy+-1 = -3xy

Answer:

y= 9

x = -2

Step-by-step explanation:

Y= 9, X = -2 I use the simultaneous equation to solve it.

Answer:

y = x/2

Step-by-step explanation:

Let y represent the number the number of red balls and let x represent the number of blue balls. Since we have that the number of Red balls is half the number of the Blue ones, and the number of red balls equals x, we divide x by 2. So, x/2.

Since x/2 is equal to the number of blue balls and y is the number of blue balls, we write y = x/2.

So, our linear equation in two variables that represents "the statement the number of Red balls is half the number of the Blue ones"​ is

y = x/2

Respuesta:

200 mangos

Explicación paso a paso:

Dado :

Sea el número inicial de mangos = x

Primera venta:

3 / 5x + 2

Número a la izquierda = x - (3 / 5x + 2) = 2 / 5x - 2

Segunda venta:

1/3 (2 / 5x - 2) + 2 = 2 / 15x - 2/3 + 2

Cantidad restante:

2 / 5x - 2 - (2 / 15x - 2/3 +2)

2 / 5x - 2 - 2 / 15x + 2/3 - 2

0,2666666x - 3,3333

Tercera venta:

1/2 (0,2666666x - 3,3333) + 1 = 0,133333x - 1,666665 + 1

0.2666666x - 3.3333 - (0.133333x - 1.666665 + 1) = venta final

0,2666666x - 3,3333 - (0,133333x - 1,666665 + 1) = 24

0,2666666x - 3,3333 - 0,133333x + 1,666665 - 1 = 24

0,133333x - 2,666635 = 24

0.133333x = 24 + 2.666635

0,133333x = 26,666635

x = 26,666635 / 0,133333

x = 200.00026

x = 200 mangos