Select two fractions equivalent to 1/3. a.3/3 b.2/6. c.3/12 d.7/12

Answer:

Step-by-step explanation:

Given that  cos θ =7/11, cosec θ = 1/sinθ in trigonometry.

Based on SOH, CAH, TOA;

cosθ = adjacent/hypotenuse = 7/11

adjacent = 7 and hyp = 11

Since sinθ = opp/hyp, we need to get the opposite to be able to calculate sinθ.

Using pythagoras theorem to get the opposite;

[tex]hyp^{2} = adj^{2} + opp ^{2} \\opp = \sqrt{hyp^{2} - adj^{2} } \\opp = \sqrt{11^{2} - 7^{2}} \\opp = \sqrt{72} \\opp = 6\sqrt{2}[/tex]

sinθ = 6√2/11

cosecθ = 1/sinθ = 1/( 6√2/11)

cosecθ = 1/sinθ = 11/6√2

Note the error; cscθ[tex]\neq[/tex] 1/cosθ but cscθ = 1/sinθ

Answer:

2(x+8)

Step-by-step explanation:

2x+16

2(x+8)

Answer:

unfactorable with real numbers

in the complex realm

(x-4i) (x+4i)

Step-by-step explanation:

x^2+16

We can only factor this with imaginary numbers

(x^2 - (-4i)^2)

This is the difference of squares

(x -4i) (x+4i)

Answer:

c(x)=324.

324 is the total price and c would be the cost of the tickets times x which is the number of tickets.

Answer:

-4

Step-by-step explanation:

khan academy

Answer:

Total mean: 4.3

Step-by-step explanation:

(mean for home goals)

Mean: 2.5

(mean for away goals)

Mean: 1.8

it tells us to find the total games played all together..

so:

2.5 + 1.8 = 4.3

Answer:

(- 1, 9 )

Step-by-step explanation:

One of the equations gives y = 9, the y- value

To find the value of x, substitute y = - 3x + 6 , that is

- 3x + 6 = 9 ( subtract 6 from both sides )

- 3x = 3 ( divide both sides by - 3 )

x = - 1

Solution is (- 1, 9 )

Answer:

[tex]34.5575191895[/tex]

Step-by-step explanation:

[tex]2\pi r(180/360)\\2\pi *11*1/2\\=11\pi[/tex]

The arc length of the semicircle is half the circumference i.e., 11π.

The circumference is the perimeter of a circle.

Formula of Circumference = 2πr.

= Arc length of a semicircle  

= half of the circle's circumference

= 2πr/2

= πr

=11r

Learn more about circumference here

https://brainly.com/question/4268218

#SPJ2

Answer:

y = [tex]\frac{3}{4}x+2[/tex]

Step-by-step explanation:

In the figure attached,

Graph of the line passes through the two points (0, 2) and (4, 5).

Let the equation of this line is y = mx + b

Here m = slope of the line

b = y-intercept

Since slope of the line passing through two points is represented by,

m = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

   = [tex]\frac{(5-2)}{(4-0)}[/tex]

   = [tex]\frac{3}{4}[/tex]

Y-intercept of the line 'b' = 2 units

Therefore, equation of the line will be,

y = [tex]\frac{3}{4}x+2[/tex]

Answer:

$43.75 (65%)

Step-by-step explanation:

35% of 125= 43.75

.35 times 125+ 43.75

Answer:

78$

Step-by-step explanation:

Answer:

Can't be determined

Explanation:It can't be determined since there are two sides that you need to find out.

Answer:

432 cubic inches

Step-by-step explanation:

the ratio of the small bag to large bags side lengths is 12/16

if you want to find the small bags volume, set the ratios equal

we know the large bag is 576 cubic inches so the small bag volume is x

12/16 = x/576

cross multiply

16x= 6912

divide by 16

x= 432

maybe hai not sure❤️

Answer:

5x^2/4

Step-by-step explanation:

5 times the cube of x divided by 4 times x

(5x^3)/4x=5x^2/4

Answer:

I'm not sure what the question is... but I'm guessing you have to put this in number form? If so, the answer would be 5x^3/4x

Step-by-step explanation:

When having a number times x instead of writing the multiplication sign you just put them next to each other. (5x)

When something is cubed that means it is to the power of three (5x^3)

Divided by four times x would be 4x

Hopefully I did this right and helped you!

Step-by-step explanation:

The main goal is to separate the values on opposite sides of the equal sign.

2 + 2x = 3 + 2x

-2 -2 ⬅Subtract 2 from both expressions

2x = 1 + 2x

-2x - 2x ⬅Subtract 2x from both sides.

0 = 1

Answer:

0 does not equal 1, which means that this equation is inconsistent. In other words, there is no solution. 0 does not equal 1, so 2 + 2x does not equal 3 + 2x.

I hope this helps! :)

Answer:

D. (0,4)

Step-by-step explanation:

Answer:

[tex] \texttt{(3x+2)(3x-1)}[/tex]

Step-by-step explanation:

Factors of

[tex] 9x^2+3x-2[/tex]

[tex] 9x^2+6x-3x-2[/tex]

[tex] 3x(3x+2)-(3x+2)[/tex]

[tex] (3x+2)(3x-1)[/tex]

Answer:

50

Step-by-step explanation:

c = cell phone cost

t = 5c

computer = 2.5 t = 2.5 ( 5c) =12.5 c

The total = 925

c+t+ computer = 925

c + 5c+ 12.5c = 925

Combine like terms

18.5 c = 925

Divide each side by 18.5

18.5c /18.5 = 925/18.5

c = 50

Answer:

Step-by-step explanation:

From the end of the problem to the beginning of the problem (this is often how you need to "decipher" story problems...go at it backwards!), we see that the cost of everything Tony bought is, in the end, based on the cost of the cell phone. The TV is 5 times as much as the cell phone, and the computer is 2.5 times as much as the TV...which is based on the cell phone. So the cell phone is our "main" unknown. We'll call that x.

If the TV is 5 times the cell phone, then the

TV = 5x

If the computer is 2.5 times the TV, then the

computer = 2.5(5x) = 12.5x

The cost of all these added together is 925.  Therefore,

x + 5x + 12.5x = 925 and

18.5x = 925 so

x = 50

The cell phone cost $50. Choice G.

Answer:

[tex]=2\sqrt{3}\\\mathrm{Decimal:\quad }\:3.46410[/tex]

Step-by-step explanation:

[tex]\frac{12\sqrt{2}}{2\sqrt{6}}\\\mathrm{Divide\:the\:numbers:}\:\frac{12}{2}=6\\=\frac{6\sqrt{2}}{\sqrt{6}}\\\mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{a}=a^{\frac{1}{n}}\\\sqrt{6}=6^{\frac{1}{2}}\\=\frac{6\sqrt{2}}{6^{\frac{1}{2}}}\\\mathrm{Apply\:exponent\:rule}:\quad \frac{x^a}{x^b}=x^{a-b}\\\frac{6^1}{6^{\frac{1}{2}}}=6^{1-\frac{1}{2}}\\=\sqrt{2}\cdot \:6^{-\frac{1}{2}+1}\\\mathrm{Subtract\:the\:numbers:}\:1-\frac{1}{2}=\frac{1}{2}\\=6^{\frac{1}{2}}\sqrt{2}[/tex]

[tex]\mathrm{Apply\:radical\:rule}:\quad \:a^{\frac{1}{n}}=\sqrt[n]{a}\\6^{\frac{1}{2}}=\sqrt{6}\\=\sqrt{6}\sqrt{2}\\\mathrm{Factor\:integer\:}6=2\cdot \:3\\=\sqrt{2\cdot \:3}\sqrt{2}\\\mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{ab}=\sqrt[n]{a}\sqrt[n]{b}\\\sqrt{2\cdot \:3}=\sqrt{2}\sqrt{3}\\=\sqrt{2}\sqrt{3}\sqrt{2}\\\mathrm{Apply\:radical\:rule}:\quad \sqrt{a}\sqrt{a}=a\\\sqrt{2}\sqrt{2}=2\\=2\sqrt{3}[/tex]

Answer:

Step-by-step explanation:

[tex] \frac{ 12\sqrt{2} }{2 \sqrt{6} } [/tex]

Reduce the fraction with 2

[tex] = \frac{6 \sqrt{2} }{ \sqrt{6} } [/tex]

Simplify the expression

[tex] \frac{6}{ \sqrt{3} } [/tex]

Multiply the fraction by [tex] \frac{ \sqrt{3} }{ \sqrt{3} } [/tex]

[tex] \frac{6}{ \sqrt{3} } \times \frac{ \sqrt{3} }{ \sqrt{3} } [/tex]

To multiply the fractions, multiply the numerators and denominators separately

[tex] \frac{6 \sqrt{3} }{ \sqrt{3 \times \sqrt{3} } } [/tex]

When a square root of an expression is multiplied by itself, the result is that expression

[tex] \frac{6 \sqrt{3} }{3} [/tex]

Reduce the fraction with 3

[tex] 2 \sqrt{3} [/tex]

Hope this helps...

Best regards!!

-2/2 = -1/1 = -1

Therefore, the absolute value of -2/2 is -1.

Answer:

C

Step-by-step explanation:

Use the pythagorean theorem

a² + b² = c²

3² + 4² = c²

9 + 16 = c²

25 = c²

5 = c

Answer:

c) ab/14

Step-by-step explanation:

[tex]\frac{a}{7} * \frac{b}{2} =\frac{ab}{14}[/tex]

multipling fractions rule is to multiply nominators and denominators separately

Answer:

x=-4

Step-by-step explanation:

Answer:

x = -4

Step-by-step explanation:

7x−3(x−6)=2

Distribute

7x -3x + 18 = 2

4x +18 =2

Subtract 18 from each side

4x +18-18 = 2-18

4x = -16

Divide by 4

4x/4 = -16/4

x = -4

Answer:

40

Step-by-step explanation:

4 + 8 / 2 * (6 + 3)

Parentheses first

4 + 8 / 2 * (9)

Then multiply and divide from left to right

4 + 4 * (9)

4 + 36

Then add and subtract

40

Answer:

40

Step-by-step explanation:

PEMDAS

(6+3) = 9                  4+8/2*(9)

8/2 = 4                     4+4*(9)

4*9 = 36                   4+36

36+4 = 40                 40

Answer:

y=3x

Step-by-step explanation:

Number of plates Aaliyah makes=x

Amount of clay she uses (in pounds)= y.

There is a proportional relationship between x and y: y=mx

To make 2 plates, Aaliyah uses 6 pounds of clay.

Therefore:

Substituting the given values into the proportional relationship y=mx, we obtain:

6=2m

Divide both sides by 2

m=3

Therefore, the equation for the relationship between x and y is:

y=3x, where 3 is our constant of proportionality.

Answer:

y = 27.1

Step-by-step explanation:

We have the value of x:

x = 12

and we need to find the value of y in the expression:

y = x + 15.1

as we can see by the equation, the value of y depends on the value of x.

thus, we substitute x = 12 on the previous equation:

y = 12 + 15.1

y = 27.1

the value of y is 27.1

Answer:

28m

Step-by-step explanation:

Find the perimeter

Perimeter=2(length+width)

=2(8+6). =2(14). =28m

Answer:

y = -2x + 4

Step-by-step explanation:

First, find the slope by doing rise over run. I did this between the points (0, 4) and (2,0) This gives you -4/2 = -2.

Then, find the y-intercept, which is where the line goes through the y axis. This is at y = 4.

So, the equation is y = -2x + 4.

Answer:

y = -2x + 4

Step-by-step explanation:

Lets write the equation of the line in slope-intercept form. We need to find two things:

1) the y-intercept. When can find this by simply finding what y is equal to when x is 0. Taking a quick look, we can find that it is 4

2) the slope. To find the slope, we simply take the rate of change, or rise over run. Taking the section where x is between 0 and 2, we have, 4/2 = 2.

However, the line is moving downwards, so its a negative slope. This means the actual slope is -2.

Finally, slope-intercept form tells us that the line is y = mx + b, where m is the slope, and b is the y-intercept.

Therefore, the answer is:

y = -2x + 4

Answer:

(0, 250)

(-250/3, 0)

Step-by-step explanation:

These are the intercepts and are points in the function

Answer:

(0,250)

(1,247)

Step-by-step explanation:

y = –3x + 250.

Let x = 0

y = -3(0) +250

y = 250

(0,250)

Let x = 1

y = -3(1) +250

y = -3+250

y = 247

(1,247)

Answer:

a = 3

Step-by-step explanation:

-12x³+14x²+6x = -2x(ax+1)(2x-3)

Divide both sides by -2x(2x-3)

[tex]\frac{-2x(ax+1)(2x-3)}{-2x(2x-3)} = - \frac{12x^{3} }{-2x(2x-3)} + \frac{14x^{2} }{-2x(2x-3)} +\frac{6x}{-2x(2x-3)}[/tex]

ax+1=3x+1

Subtract 1 from both sides

ax=3x

Divide both sides by x

a=3

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

[tex]g^{-1}[/tex](x) = [tex]\frac{x+10}{5}[/tex]

Step-by-step explanation:

Given

g(x) = 5(x - 2)

let y = g(x) and rearrange making x the subject, that is

y = 5(x - 2) ← distribute

y = 5x - 10 ( add 10 to both sides )

y + 10 = 5x ( divide both sides by 5 )

[tex]\frac{y+10}{5}[/tex] = x

Change y back into terms of x with x = [tex]g^{-1}[/tex] (x) , thus

[tex]g^{-1}[/tex](x) = [tex]\frac{x+10}{5}[/tex]