Law of sines: sin(A)/a=sin(B)/b=sin(C)/c How many distinct

Answer:

A and C are correct because the farther its is to 1 the stronger it is

Answer:

The answer is A and C

Step-by-step explanation:

Answer:

The equation of the line into point slope form is [tex]y-32=3(x-10)[/tex]

Step-by-step explanation:

we know that

The equation of the line into point slope form is equal to

[tex]y-y1=m(x-x1)[/tex]

In this problem we have

[tex]m=3[/tex]

[tex](x1,y1)=(10,32)[/tex]

substitute

[tex]y-32=3(x-10)[/tex] ---> equation of the line into point slope form

[tex]y=3x-30+32[/tex]

[tex]y=3x+2[/tex] ---> equation of the line into slope intercept form

[tex]\bf ~~~~~~\textit{initial velocity} \\\\ \begin{array}{llll} ~~~~~~\textit{in feet} \\\\ h(t) = -16t^2+v_ot+h_o \end{array} \quad \begin{cases} v_o=\stackrel{}{\textit{initial velocity of the object}}\\\\ h_o=\stackrel{}{\textit{initial height of the object}}\\\\ h=\stackrel{}{\textit{height of the object at "t" seconds}} \end{cases} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ h(t)=-16t^2+\stackrel{\stackrel{v_o}{\downarrow }}{19}t+110~\hspace{10em}19~\frac{ft}{sec}[/tex]

The initial velocity of the rock when thrown from the cliff is represented by the coefficient of the t term in the quadratic equation, which is 19 feet per second.

The equation h(t) = -16t² + 19t + 110 describes the height of a rock in feet, as a function of time in seconds after it is thrown from a cliff. To find the initial velocity of the rock when it is thrown, we look at the coefficient of the linear term in this equation, which represents the initial velocity in feet per second (since the equation is quadratic and the coefficient of the t2 term corresponds to half the acceleration due to gravity in feet per second squared).

The initial velocity of the rock is given by the coefficient of the t term, which is 19 feet per second.

Answer:

[tex]4800+183x\geq 8000[/tex]

She must sell at least 18 policies to make an annual income of at least $8,000

Step-by-step explanation:

Let [tex]x[/tex] be the number of policies Mrs. Robinson must sell

We know that Mrs. Robins makes 3% on commission for each policy sold. We also know that the average price of a policy is $6,100, so she makes 3% of $6,100 per policy sold. To find the 3% of $6,100 we just need to multiply 3% and $6,100; then dive the result by 100%:

[tex]\frac{3*6,100}{100} =183[/tex]

Now we know that she makes $183 per policy sold. Since [tex]x[/tex] is the number of policies sold, [tex]183x[/tex] is her total commission for selling [tex]x[/tex] policies.

We also know that She makes $4,800 per year, so her total annual income is her salary plus her commissions, in other words:

[tex]4800+183x[/tex]

Finally, we know that she wants to make at least $8,000, so her salary plus her commissions must be greater or equal than $8,000:

[tex]4800+183x\geq 8000[/tex]

Let's solve the inequality:

1. Subtract 4800 from both sides

[tex]4800-4800+183x\geq 8000-4800[/tex]

[tex]183x\geq 3200[/tex]

2. Divide both sides by 183

[tex]\frac{183x}{183} \geq \frac{3200}{183}[/tex]

[tex]x\geq 17.48[/tex]

Since she can't sell a fraction of a policy, we must round the result to the next integer:

[tex]x\geq 18[/tex]

We can conclude that she must sell 18 policies to make an annual income of at least $8,000.

Answer:

66

6 x 10=60

6 x 1=6

60+6=66

Have a good day!!! <3 Hope this helped ma dude :)

Answer:

y = -3

Step-by-step explanation:

Following the directions, we have ...

y = 2·(-1) -1 = -2-1 . . . . . . put -1 where x is in the equation

y = -3

The answers are:

[tex]x=15\\y=-10[/tex]

Solving systems of equations using elimination means multiplying/dividing the factors of the given equations in order to reduce variables and make the isolating process simpler, so, solving we have:

We are given the equations:

[tex]\left \{ {{-9x-2y=-115} \atop {-6x+2y=-110}} \right.[/tex]

We have that the terms that contains the variable "y" are equal with opposite signs, so, we can eliminate both directly, and then, isolate the variable "x", so, solving we have:

[tex]\left \{ {{-9x-2y=-115} \atop {-6x+2y=-110}} \right\\\\\left \{ {{-9x=-115} \atop {-6x=-110}} \right\\\\-9x-6x=-115-110\\\\-15x=-225\\\\x=\frac{-225}{-15}=25[/tex]

Now, that we know "x" we need to substitute it into any of the given equations in order to find "y", so, substituting we have:

[tex]-9x-2y=-115\\\\-9*(15)-2y=-115\\\\-135+115=2y\\\\2y=-20\\\\y=\frac{-20}{2}=-10[/tex]

Hence, we have that:

[tex]x=15\\y=-10[/tex]

Have a nice day!

ANSWER

(15,-10)

EXPLANATION

The given equations are:

–9x – 2y = –115 ...(1)

–6x + 2y = –110...(2)

Add equation (1) from equation (2) to eliminate y.

-9x+-6x=-110+-115

This implies that,

-15x=-225

Divide both sides by -15

[tex]x = 15[/tex]

Put the value of x into equation (2) to find y.

[tex] - 6(15 ) + 2y = - 110[/tex]

[tex] - 90+ 2y = - 110[/tex]

[tex]2y = - 110 + 90[/tex]

[tex]2y = - 20[/tex]

[tex]y = - 10[/tex]

The solution is (15,-10)

Answer:

4a. About 54 times NOT INCLUDING THE FIRST TRIAL

4b. About 60 times NOT INCLUDING THE FIRST TRIAL

Step-by-step explanation:

I say about because we don't know if it's ALWAYS going to be the same results.

4a. Also 12*4 because it's 20 times so 20*4=80 then you add half of it to become 90 and you get 54

4b. 12*5 because 100/5=20 for the 20 trials of them

Answer:

  338 in

Step-by-step explanation:

If each of the measures shown is the measure from the vertex to the point of tangency, then that measure contributes twice to the perimeter (once for each leg from the vertex to a point of tangency).

  2(22 in + 27 in + 22 in + 98 in) = 2(169 in) = 338 in

Answer:

The height of the next door building is 41.7 feet

Step-by-step explanation:

* Lets study the situation in the problem

- The man standing on the roof of a building 64.0 feet high

- The angle of depression to roof of the next door building is 34.7°

- The angle of depression to the bottom of the next door building

  is 63.3°

- We need to find the height of the next door building

* Lets consider the height of the man building and the horizontal

 distance between the two building formed a right triangle and the

 angle of depression is opposite to the side which represented the

 height of the building

- Let the horizontal distance between the two buildings called x

# In the triangle

∵ The length of the side opposite to the angle of depression (63.3°)

  is 64.0

∵ The length of the horizontal distance is x which is adjacent to the

  angle of depression (63.3°)

- Use the trigonometry function tanФ = opposite/adjacent

∴ tan 63.3° = 64.0/x ⇒ use cross multiplication

∴ x (tan 63.3°) = 64 ⇒ divide both sides by (tan 63.3°)

∴ x = 64.0/(tan 63.3°)

∴ x = 32.1886 feet

- Lets use this horizontal distance to find the vertical distance between

  the roofs of the two buildings

* Lets consider the height of the vertical distance between the roofs

 of the two buildings  and the horizontal distance between the two

 building formed a right triangle and the

 angle of depression is opposite to the side which represented the

 vertical distance between the roofs of the two buildings

- Let the vertical distance between the roofs of the two buildings

 called y

# In the triangle

∵ The vertical distance between the roofs of the two buildings is y

   and opposite to the angle of depression (34.7°)

∵ The horizontal distance x is adjacent to the angle of

   depression (34.7°)

∴ tan (34.7°) = y/x

∵ x = 32.1886

∴ tan 34.7° = y/32.1886 ⇒ use the cross multiplication

∴ y = 32.1886 (tan 34.7°)

∴ y = 22.2884 ≅ 22.3 feet

∴ The vertical distance between the roofs of the two

   buildings is 22.3 feet

- The height of the next door building is the difference between the

  height of the man building and the vertical distance between the

  roofs of the two buildings

∴ The height of the next door building = 64.0 - 22.3 = 41.7 feet

Final answer:

This answer explains how to calculate the height of a building using trigonometry based on given angles of depression.

Explanation:

To determine the height of the building next door, we need to use trigonometric functions. Specifically, the tangent of an angle in a right triangle relates the angle to the ratio of the opposite side to the adjacent side.

The total height of the building next door will be H + D.

From the top of the 64.0 feet building, looking down with an angle of depression of 34.7° to the roof of the building next door gives us:

Tan(34.7°) = D/Distance

Similarly, looking down with an angle of depression of 63.3° to the bottom of the building next door gives us:

Tan(63.3°) = (H + D)/Distance

By creating a right triangle for each angle, we can establish the relationships to find the height, which turns out to be around 52.0 feet.

you cannot show too much "work"

basically, you remove what is common to all of the factors, and then put brackets, as it will be multiplied back in, remember that when you multiply exponents with the same base, its same as adding them, so subtract to remove...

you can seperate two of the variables , then factor, then subtract the last one from those two, because it cannot be factored out , as in part2 #2

Answer:

I want to say its b

Answer:

the answer is C

Step-by-step explanation:

Answer:

E. 44 meters

Step-by-step explanation:

The function that models the distance covered by the object is

[tex]s(t)=t^2+5t[/tex]

where s(t) is in meters and t is in seconds.

The distance covered by the object after 1 second is

[tex]s(1)=1^2+5(1)=6m[/tex]

The distance covered by the object after 1 second is

[tex]s(1)=5^2+5(5)=50m[/tex]

The distance covered between 1 second and 5 seconds is

50-6=44m

Answer:

person above is right

Step-by-step explanation:

right on plato

Answer:

40 (cm)

Step-by-step explanation:

0. make up a new picture with additional elements (radius of the inscribed circle, it's 'x'; and some elements as shown in the attached picture);

1. the formula of the required perimeter is P=a+b+c, where c- hypotenuse.

2. apply the Pythagorean theorem: a²+b²=c², where c - hypotenuse, then calculate value of 'x' (attention! x>0, the length is positive value !)

3. substitute 'x' into the formula of the required perimeter. The result is 40.

PS. All the details are in the attached picture, answer is marked with red colour.

Answer:

  (x, y) ⇒ (-y, x)

Step-by-step explanation:

You can see that the points (1, 2) and (3, 5) get mapped to (-2, 1) and (-5, 3), respectively. That is, the old value y, when negated, is the new value of x; and the old value of x is the new value of y.

___

I find it easier to think of a 270° CW rotation as being the same as a 90° CCW rotation.

Answer:

㏒3(14) = 2.402 ⇒ 3rd answer

Step-by-step explanation:

* Lets revise some rules of the logarithmic functions

- log(a^n) = n log(a)

-  log(a) + log(b) = log(ab) ⇒ vice versa

- log(a) - log(b) = log(a/b)  ⇒ vice versa

* Lets solve the problem

- We have the value of ㏒3(2) and ㏒3(7)

- We must change the problem to these logarithm to solve

∵ 14 = 2 × 7

∴ We can write ㏒3(14) as ㏒3(2 × 7)

∴ ㏒3(14) = ㏒3(2 × 7)

* Now lets use the rules above

∵  log(ab) = log(a) + log(b)

∴ ㏒3(2 × 7) = ㏒3(2) + ㏒3(7)

∵ ㏒3(2) = 0.631 and ㏒3(7) = 1.771

∴ ㏒3(2 × 7) = 0.631 + 1.771 = 2.402

* ㏒3(14) = 2.402

Answer:

56 cm

Step-by-step explanation:

The tangents from the 90° angle will form a square with the radii that has a side length of 4. If we call the length of the short side of the right triangle "x", then the tangent lengths are ...

on the short side of the triangle: 4, x-4

on the hypotenuse side of the triangle: x-4, 24-(x-4) = 28-x

on the long side of the triangle: 4, 28-x

The perimeter is twice the sum of the unique tangent lengths:

P = 2(4 + (x-4) + (28-x)) = 2·28

P = 56 . . . . . the perimeter is 56 cm.

_____

Using the Pythagorean theorem on side lengths x and 32-x and hypotenuse 24, we find x = 16-4√2 ≈ 10.34, the length of the short side (in cm).

Answer: P=8s

Perimeter of octagon=8sides(unit value of side)

Answer:

P=8s

Step-by-step explanation:

we know that

The perimeter of a regular figure is equal to multiply the number of sides by the length of one side

In this problem

A regular octagon has 8 sides

Let

s-----> the length of one side

The perimeter is equal to

P=8s

Answer:

  (x, y) = (-6, -7)

Step-by-step explanation:

Substitute for y:

  2x +5 = 3x +11 . . . . . use the first expression for y in the second equation

  0 = x +6 . . . . . . . . . . subtract 2x+5

  -6 = x . . . . . . . . . . . . add -6

  y = 2(-6) +5 = -7 . . . .substitute for x

The solution is x = -6, y = -7.

Answer:

• domain: x ≥ 0

• range: y ≥ 0

Step-by-step explanation:

The graph shows a ray that starts at the origin and extends to infinity in both the +x and +y directions. The domain (horizontal extent) is [0, ∞), as is the range (vertical extent).

Answer:

$ 38,824

Step-by-step explanation:

Total Area of land that was bought = [tex]4\frac{2}{8}[/tex] acres

Total Cost of this area = $ 165,000

We have to find the cost of 1 acre of land.

Cost of [tex]4\frac{2}{8}[/tex] acres of land = $ 165,000

Dividing both sides by [tex]4\frac{2}{8}[/tex], we get:

Cost of 1 acre of land = $ 165,000 ÷ [tex]4\frac{2}{8}[/tex]

= $ 38,824

Thus the cost of each acre of land  is $ 38,824 (rounded to nearest dollar)

Answer: $38,824

Step-by-step explanation:

Convert the mixed number [tex]4\ \frac{2}{8}[/tex] as a decimal number.

Divide the numerator by the denominator and add it to the whole number 4. Then:

[tex]4+0.25=4.25acres[/tex]

Then, knowing that 4.25 acres cost $165,000 , divide this amount by 4.25 acres to find the cost of each acre.

Therefore, you get that the cost of each acre rounded to nearest dollar is:

[tex]cost=\frac{\$165,000}{4.25}\\cost=\$38,824[/tex]

Answer:

  none of the above

Step-by-step explanation:

The transformation ...

  g(x) = k·f(x -a) +b

vertically stretches the function f(x) by a factor of "k", translates it to the right by "a" units and up by "b" units. There won't be any reflection across the x-axis unless the stretch factor (k) is negative.

You have k=2, a=2, b=-2, so the function is stretched by a factor of 2, then translated to the right and down by 2 units each.

_____

The stretch is done first. If it is done last, then the translation factor(s) are also stretched. All the answer choices given in your problem statement list the stretch last, so none is correct. (You are probably expected to choose d.)

I think it’s C sorry if I’m wrong

For this case we have a system of sos equations with two unknowns:

[tex]x-5y = -3\\-7x + 8y = -33[/tex]

We clear "x" from the first equation:

[tex]x = -3 + 5y[/tex]

We substitute in the second equation:

[tex]-7 (-3 + 5y) + 8y = -33\\21-35y + 8y = -33\\-27y = -33-21\\-27y = -54\\y = \frac {-54} {- 27}\\y = 2[/tex]

We find the value of "x":

[tex]x = -3 + 5 (2)\\x = -3 + 10\\x = 7[/tex]

ANswer:

(7,2)

Option C

Answer:

Option C is correct.

Step-by-step explanation:

The equation used to represent the slop-intercept form is

y= mx + b

where m is the slope

and b is the y-intercept.

So, in the given question y-intercept = (0,8)

b= 8 and

slope =m= 1/2

the equation will be:

y = mx + b

y= (1/2)x + 8

So, Option C is correct.

Answer:

(0,170)  and (60,-70) and (5, 150)

Step-by-step explanation:

To see if a given point is on the line or not, you just have to enter the x value (first value in the parenthesis) and see if the function returns the correct y value (second number in the parenthesis).

f(x) = -4x + 170

(170,0)  => -4 (170) + 170 = -680 + 170 = 510.  NO, not equal to 0.

(0,170) =>  -4 (0) + 170 = 0 + 170 = 170. YES

(12, 126)  => -4 (12) + 170= -48 + 170= 122. No, not equal to 126.

(50,30)  => -4(50) + 170 = -200 + 170 = 130. No, not equal to 30.

(5, 150)  => -4(5) + 170 = -20 + 170 = 150. YES

(60,-70) => -4(60) + 170 = -240 + 170 = -70.  YES

Answer:

(0,170)  and (60,-70) and (5, 150)

Step-by-step explanation:

Answer:

im not sure but he is grading assignments at a faster rate

Step-by-step explanation:

25/20=1.25 so 1.25 mins per hw assignment

36/30=1.20 so 1.20 mins per hw assignment

it takes him 5 more seconds to grade 36 hw assignments so he's going at a faster rate

hope this helps :)

Answer:

y=1/2x+5 or d

Step-by-step explanation:

Answer is D

Step-by-step explanation:

Explanation:

First we need to find the amount of the diet that is fruit. (It is what is not biscuits or bamboo.) The quantity is given per day, so we need to multiply that by the number of days in 3 weeks.

  (1 - 23% -73%)·(1100 g/day)·(7 day/week)·(3 week) = (44 g/day)·(21 day)

  = 924 g . . . . of fruit

Answer:

C) The y-intercept is the same for both

D) The graph and the equation expression an equivalent function.

Step-by-step explanation:

We are given graph a linear function and a equation of line y = -4x - 4

From the given graph, let's find the equation.

From the graph, we know the slope = rise/run

Here rise = 4 and run  -1

Slope = 4/-1 = -4

and

y-intercept is -4 (where the line cuts  the y-axis)

The equation of graph of the line y = -4x - 4

So, the graph and the given equation are also the same.

Therefore, the answers are

C) The y-intercept is the same for both

D) The graph and the equation expression an equivalent function.

Answer:

(3) The y-intercept is the same for both.

(4) The graph and the equation express an equivalent

function.

Step-by-step explanation:

The slope of both functions is negative since in the graph the line is going down, then the Y intercept is the same for both because when X is 0, in the graph the line is located at Y=-4 and in the function you can set x to 0 and the function would be -4, then you can see that the function and the graph have the same slope and the same Y intercept that means that they express an equivalent function.

ANSWER

x=5

EXPLANATION

The given quadratic function has x intercepts of (0,0) and (10,0) .

The x-value of the minimum point lies on the axis of symmetry of this graph.

The axis of symmetry is the midline of the x-intercepts

[tex]x = \frac{0 + 10}{2} [/tex]

The x-value of the minimum point is

[tex]x = 5[/tex]