Give the sine, cosine, and tangent ratios for
both angle A and Angle B as a reduced fraction.

Given:

A line segment AB.

A point is [tex]\dfrac{3}{10}[/tex] of the way from A to B.

To find:

The coordinates of that point.

Solution:

Section formula: If a point divide a line segment in m:n, then

[tex]Point=\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)[/tex]

From the given figure, it is clear that the two end points of the line segment are A(-4,-5) and B(12,4).

Let the unknown point be P. The point is [tex]\dfrac{3}{10}[/tex] of the way from A to B. It means,

[tex]\dfrac{AP}{AB}=\dfrac{3}{10}[/tex]

Let AP and AB are 3x and 10x, then

[tex]\dfrac{AP}{PB}=\dfrac{AP}{AB-AP}[/tex]

[tex]\dfrac{AP}{PB}=\dfrac{3x}{10x-3x}[/tex]

[tex]\dfrac{AP}{PB}=\dfrac{3x}{7x}[/tex]

[tex]\dfrac{AP}{PB}=\dfrac{3}{7}[/tex]

It means, point P divided the line segment in 3:7.

Using section formula, we get

[tex]P=\left(\dfrac{3(12)+7(-4)}{3+7},\dfrac{3(4)+7(-5)}{3+7}\right)[/tex]

[tex]P=\left(\dfrac{36-28}{10},\dfrac{12-35}{10}\right)[/tex]

[tex]P=\left(\dfrac{8}{10},\dfrac{-23}{10}\right)[/tex]

[tex]P=\left(0.8,-2.3\right)[/tex]

Therefore, the coordinates of the required point are (0.8, -2.3).

Answer:

[tex]\displaystyle x = 3 \pm i\sqrt{3}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Algebra II

Step-by-step explanation:

Step 1: Define

x² - 6x + 12 = 0

Step 2: Identify Variables

Compare the quadratic to standard form.

x² - 6x + 12 = 0 ↔ ax² + bx + c = 0

a = 1, b = -6, c = 12

Step 3: Find Roots

Answer:

20.6 cm (im pretty sure lol)

Step-by-step explanation:

sine rule:

(ab = x)

13.5/sin41 = x/sin90

13.5sin90/sin41 = x

x = 20.57741667

ab = 20.6cm

The speed is the distance covered by an object at a particular time. The time it will take for Steven to cover a distance of 2.6 miles is 22.75 minutes.

The speed is the distance covered by an object at a particular time. Therefore, it is the ratio of distance and time.

Speed = Distance / Time

Given that it takes Steven 12.25 minutes to run 1.4 miles. Therefore, the rate or speed at which Steven runs is,

Speed = Distance / Time

Speed of Steve = 1.4 miles / 12.25 minutes

Now, if at the same rate Steven runs, then the time it will take for Steven to run a distance of 2.6 miles is,

Speed = Distance / Time

Time = Distance / Speed

Time = 2.6 miles / (1.4 miles / 12.25 minutes)

Time = (2.6 miles × 12.25 minutes)/1.4 miles

Time = 22.75 minutes

Hence, the time it will take for Steven to cover a distance of 2.6 miles is 22.75 minutes.

Learn more about Speed here:

https://brainly.com/question/15100898

#SPJ2

Answer:

x = 2

y = 1

Step-by-step explanation:

-2x-3y=-7, y=6x-11

-2x - 3(6x - 11) = -7

-2x - 18x + 33 = -7

-2x - 18x = -40

-20x = -40

x = 2

y = 6(2) - 11

y = 12 - 11

y = 1

Answer:

x = 2, y = 1

Step-by-step explanation:

We have a system of equations:

-2x - 3y = -7

y = 6x - 11

Substitute the given value of y into the equation -2x - 3y = -7

-2x - 3 * (6x - 11) = -7

-20x = -7 - 33

-20x = - 40

x = 2

Substitute the given value of x into the equation y = 6x - 11

y = 6x - 11

y = 6 * 2 - 11

y = 1

Answer:

0, 2, 154, 85,500

Step-by-step explanation:

these are the anwsers to your question

Answer:

the probability is 3/6 or 1/2

Step-by-step explanation:

Answer:

Step-by-step explanation: the answer is B i think

Answer:

A

Step-by-step explanation:

[tex]V = \frac{nd^2h}{6}[/tex]

multiply both sides by 6

[tex]6V = nd^2h[/tex]

divide both sides by [tex]nd^2[/tex]

[tex]\frac{6V}{nd^2} = h[/tex]

So the answer is A.

Answer:

HOPE IT HELPS THANK ME LATER.

Answer:

C,D,F

Step-by-step explanation:

Answer:

7 + (-14) + (7)

Step-by-step explanation:

7 - 14 - (-7) =

Subtracting is like adding a negative and subtracting a negative is like adding a postive

7 + (-14) + (7)

Answer:

x=16, have a great day

Step-by-step explanation:

Answer:

x = 16

Step-by-step explanation:

13x + 7 = 215

13x = 208 (Subtract 7 from both sides.)

x = 16 (Divide both sides by 13)

Answer:

A: -2

Step-by-step explanation:

TOOK THE TEST

Answer:

100

20 = 50

50 x2

Step-by-step explanation:

Answer:

100

Step-by-step explanation:

250 books × 40%

= 100

other way to solve it is

250 × 0.40

= 100 fiction books

Answer:

a = -4

Step-by-step explanation:

[tex] (\dfrac{1}{9})^{a + 1} = 81^{a + 1} \cdot 27^{2 - a} [/tex]

[tex] (3^{-2})^{a + 1} = (3^4)^{a + 1} \cdot (3^3)^{2 - a} [/tex]

[tex] 3^{-2a - 2} = 3^{4a + 4} \cdot 3^{6 - 3a} [/tex]

[tex] 3^{-2a - 2} = 3^{4a + 4 + 6 - 3a} [/tex]

[tex] 3^{-2a - 2} = 3^{a + 10} [/tex]

[tex] -2a - 2 = a + 10 [/tex]

[tex] -3a = 12 [/tex]

[tex] a = -4 [/tex]

Answer:

V≈166.67

Step-by-step explanation:

V=ABh

3=100·5

3≈166.66667

Answer:

166 2/3

Step-by-step explanation:

The formula to solve for the volume of a pyramid is lwh/3. Plug those numbers in and you'll get 10*10*5=500/3 = 166 2/3.

Answer:

13.2 + 0.292X = Y

Step-by-step explanation:

Given that, according to the National Center for Education Statistics, there were 13.2 million undergraduate students enrolled in degree-granting postsecondary institutions in Fall 2000, while in Fall 2014, the enrollment was 17.3 million students, assuming this relationship grows linearly, a linear function that models the undergraduate enrollment in postsecondary institutions X years after 2000 would be carried out as follows:

2014-2000 = 14

17.3 - 13.2 = 4.1

4.1 / 14 = 0.292

Thus, each year 292,000 new students are enrolled in postsecondary institutions. Therefore, the function that determines what is requested would be the following:

13.2 + 0.292X = Y

Answer:

Tell whether the ordered pair is a solution to the system of linear equations. 1 point

(-2,-1); 2x – 4y= -8

6x + 5y = -7

No

the answer is will be +50a+125

Answer:

(a) and (f)

Step-by-step explanation:

Given

[tex]y = 5x + 12[/tex]

See attachment for table and options

First, we calculate the slope of the table

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Using:

[tex](x_1,y_1) = (2,29)[/tex]

[tex](x_1,y_1) = (4,53)\\[/tex]

So, we have:

[tex]m = \frac{53- 29}{4 - 2}[/tex]

[tex]m = \frac{24}{2}[/tex]

[tex]m = 12[/tex]

The equation is then calculated using:

[tex]y = m(x -x_1) + y_1[/tex]

This gives:

[tex]y = 12*(x -2) + 29[/tex]

[tex]y = 12x -24 + 29[/tex]

[tex]y = 12x+5[/tex]

So, we have:

[tex]y = 5x + 12[/tex] --- The given equation

and

[tex]y = 12x+5[/tex] --- The equation of the table

An equation is represented as:

[tex]y = mx + b[/tex]

Where:

m = slope or rate of change

b = y intercept

So, for the given equation: [tex]y = 5x + 12[/tex]

Rate of change = 5

y intercept = 12

For the table: [tex]y = 12x+5[/tex]

Rate of change = 12

y intercept = 5

In conclusion:

(a) [tex]y = 12x+5[/tex] has the greater rate of change:

and

(f) [tex]y = 5x + 12[/tex] has the greater y intercept

la respuesta es (-24)+(-25)-49

Answer:

- 49

Step-by-step explanation:

= -24-25(because - and + becomes -)

= -49

Answer:

[tex]V_{0} = e^{-rt}[/tex] ∑ [tex]uPdx^{(1-p)} *S_{o}[/tex]  

Step-by-step explanation:

The Payoff to the holder at maturity T = X1{ST > K}, where X = pre-specified cash sum.

Current value of asset price = Sn  after evolvement of asset price in reference to binomial model

Hence at every  step value changes to SnU and Snd

where ; d < e^rΔT < u  and Δ T = length of each step

u = ups

d = downs

Determine the time zero price of the above option

First we will find the price after each period

After one period :

when the price goes up, Sn + ΔT = Su

when the price goes down, Sn + ΔT = Sd

After  period two

For Su

when price goes up, Sn +2ΔT = Su2

when price goes down, Sn +2ΔT = Sud

For Sd

when  price goes down, Sn +2ΔT = Sd2

when price goes up, Sn +2ΔT = Sdu

To get the time zero price we will have to apply the same procedure in reverse position den get the sum pf all ups and downs which is

sum of all ups and downs = [tex]e^{-rT}[/tex]∑ [tex]uPd^{(1-p)}[/tex]

[tex]V_{0} = e^{-rt}[/tex] ∑ [tex]uPdx^{(1-p)} *S_{o}[/tex]  

50°

Step-by-step explanation:

notice the lines. from that you can tell that 3y+4=5y-10. with calculation, you get y=7. substitute y=7 and you get 50°

Answer:

11 weeks have passed.

Step-by-step explanation:

We can create a linear function that represents the number of bocadillos offered as a function of the number of weeks (s) that went by since the beginning (when the number of bocadillos was 6):

f(s) = 6 + 2 * s

Since now the number of bocadillos is 28, we can solve for s in the equation

28 = 6 + 2 * s

subtract 6 from both sides

28 - 6 = 2 * s

22 = 2 * s

divide both sides by 2

11 = s

Therefore, 11 weeks have passed.

Answer:

no

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

Answer:

6.82.26v375 is the descreasing order

Answer:

it is c, 6.82 2pi 55/9 sq37

Step-by-step explanation: