What is the location of point G, which partitions the directed line segment from F to D into an 8:5 ratio?

A number line goes from negative 5 to 10. Point D is at negative 4 and point F is at 9. A line is drawn from point D to point F.

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2
3
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Answer:

48.81

Step-by-step explanation:

Since we are given a right triangle, and we are trying to find a angle, we use the

SOH-CAH- TOA.

In relation to the angle, we know a side opposite of the angle and the side adjacent to the angle.

We use Tangent, which states that

[tex] \tan(x) = \frac{o}{a} [/tex]

Here the opposite side is 8

The adjacent side is 7.

[tex] \tan(x) = \frac{8}{7} [/tex]

Take the Inverse Tangent,

[tex] \tan {}^{ - 1} (( \tan(x) ) = \tan {}^{ - 1} ( \frac{8}{7} ) [/tex]

[tex]x = \tan {}^{ - 1} ( \frac{8}{7} ) [/tex]

Which gives us 48.81

Answer:

∠ A ≈ 48.81°

Step-by-step explanation:

using the tangent ratio in the right triangle

tan A = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{8}{7}[/tex] , then

∠ A = [tex]tan^{-1}[/tex] ( [tex]\frac{8}{7}[/tex] )  ≈ 48.81° ( to the nearest hundredth )

Answer: B

Step-by-step explanation:

Answer:

Step-by-step explanation:

the angle of measure 4x + 12 and the angle of measure 64 are Vertically opposite angles then they are equal in measure

therefore

4x + 12 = 64

⇔ 4x = 64 - 12

⇔ 4x = 52

⇔ x = 52/4

⇔ x = 13

Answer:

the answer for this question is 1

Answer:

2

Step-by-step explanation:

Using the graph of tanx attached, we know that each period starts and restarts after each π. I've contrasted the periods of the functions in blue versus what we have between the two points in green.

From -3π/4 to 5π/4, we have.....

1/4 of a period

1 full period

3/4 of a period

1/4 + 1 + 3/4 = 2 periods

I hope this helps!

Answer:

A. The farmer plants 195 rows of beets and has 25 beet plants left over

Step-by-step explanation:

The quotient 195 is the number of full rows the farmer can make. That takes up 195*40 = 7800 plants so far. Then there's an extra 25 left over because 7825-7800 = 25 that can't make up an extra full row.

Answer:

thirty-six, thirty six, 36%, thirty-six percent, thirty six percent, or 36 percent

Answer:

55

Step-by-step explanation:

cell phone plan charges $50 per month for 400 minutes of talk time. The plan charges $0.10 for each additional minute you talk.

Let the monthly charge be y and x be the number of additional minutes.

So, the equation becomes,

y = 50 + 0.10(x)

For, The given month the additional minutes are 50.

so, y = 50 + 0.10(50) = 55

Answer:

here;

per month-50$ for 400 m

now'

50*0.10$

5$

again;

monthly + additional

50+5

$55

Answer:

[tex]=-\frac{82}{105}[/tex]

Step-by-step explanation:

[tex]-\frac{2}{3}+\left[\frac{3}{5}+\left(-\frac{5}{7}\right)\right][/tex]

[tex]\frac{3}{5}+\left(-\frac{5}{7}\right)[/tex]

[tex]=-\frac{4}{35}[/tex]

[tex]=-\frac{2}{3}-\frac{4}{35}[/tex]

[tex]=-\frac{82}{105}[/tex]

[tex]\huge\text{Hey there\bf!}[/tex]

[tex]\mathsf{-\dfrac{2}{3} + [\dfrac{3}{5} + -\dfrac{5}{7}]}[/tex]

[tex]\mathtt{= - \dfrac{2}{3} + \dfrac{3}{5} + - \dfrac{5}{7}}[/tex]

[tex]\mathtt{= - \dfrac{2}{3} + \dfrac{3}{5} - \dfrac{5}{7}}[/tex]

[tex]\mathtt{-\dfrac{2\times35}{3\times35} + \dfrac{3\times21}{5\times21} - \dfrac{5\times15}{7\times15}}[/tex]

[tex]\mathtt{= -\dfrac{70}{105} + \dfrac{63}{105}- \dfrac{75}{105}}[/tex]

[tex]\mathtt{= \dfrac{-70 + 63 - 75}{105 + 0 - 0}}[/tex]

[tex]\mathtt{= \dfrac{-7 - 75}{105 - 0}}[/tex]

[tex]\mathtt{= \dfrac{-82}{105}}[/tex]

[tex]\mathtt{= -\dfrac{82}{105}}[/tex]

[tex]\huge\text{Therefore your answer should be:}[/tex]

[tex]\huge\boxed{\mathtt{\mathtt{= -\dfrac{82}{105}}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

[tex] \huge\fbox\green{ANSWER} [/tex]

[tex] \huge \mathsf \orange{4 \: turning \: points}[/tex]

Answer:

remainder: -400

Explanation:

[tex]\sf f(x) = 3x^5 + 4x^4 + 5[/tex]

divided by x + 3

insert x = -3 in the function

[tex]\sf f(x) = 3(-3)^5 + 4(-3)^4 + 5[/tex]

[tex]\sf f(-3) = -400[/tex]

Hey there!

10(5 - n) - 1 = 29

10(5) + 10(-n) - 1 = 29

50 - 10n - 1 = 29

49 - 10n = 29

-10n + 49 = 29

ADD 49 to BOTH SIDES

-10n + 49 - 49 = 29 - 49

WORK IT OUT or SIMPLIFY IT!

NEW EQUATION: -10n = -20

DIVIDE -10 to BOTH SIDES

-10n/-10 = -20/-10

WORK IT OUT or SIMPLIFY IT AS WELL!

n = 2

Therefore, your answer is: n = 2

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

n=2

Step-by-step explanation:

Step #1. Distribute the 10 to (5-n) which is 50-10n

Step #2. Simplify. 50-10n-1= -10n+50-1= -10n+49=29

Step #3. Subtract. -10n+49-49=29-49

Step #4. Simplify again. -10n = -20

Step #5. Divide. -10n/-10= -20/-10

Step #6. Simplify again. n=2

There you have it! N is equal to 2! please mark be as brainliest if you can.

Hope this helps!

Answer:

B

Hope This Helps! :) Please Mark as brainliest!

Answer:

x = 109°

Step-by-step explanation:

x = 64+45 = 109°

it looks simple, but that's the answer

The amount needed in Tina's account in order for her to reach her goal round to the nearest cent is given by: Option B: $866,442.02 approximately.

Suppose we're given that:

Then, we get:

[tex]P = \dfrac{r\times P_v}{1 - (1 + r)^{-n}}[/tex]

Why do we need this loan paying formula?

It is because we can simulate this situation with above condition.

Suppose the balance in her account is loan that she has given to someone. Let it be x, so [tex]P_v[/tex] = x dollars

The loan is increasing compoundly per year(here period of time is year wise). r = 2.2% = 0.022

That loan taker will pay off(since she need money only for 35 years) the loan in 35 years by giving $35756 = P payments each year.

We need to find the value of that initial loan amount (which refers to the amount that she needs to keep in her account).

Putting values in the aforesaid formula, we get:

[tex]P = \dfrac{r\times P_v}{1 - (1 + r)^{-n}}\\\\\\35756 = \dfrac{0.022 \times x}{1 - (1+0.022)^{-35}}\\\\\\x = \dfrac{35756 \times (1 - (1+0.022)^{-35})}{0.022} \approx 866442.02 \: \rm dollars[/tex]

Thus, the amount needed in Tina's account in order for her to reach her goal round to the nearest cent is given by: Option B: $866,442.02 approximately.

Learn more about loan payment here:

https://brainly.com/question/4234016

The other person is correct! The answer is B: $866,442.02.

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Have a great day and God bless! :D

Answer:

—8, —5, —2, 1, 4

Step-by-step explanation:

Check out the attached photo

Answer:

(x,y)=(-3,-7)

Step-by-step explanation:

step 1

y=2x-1

y=3x+2

=

2x-1=3x+2

The solutions of the equations are the point of intersection of the equations

The solutions are located at points (-2,7) and (1,1)

The equations are given as:

y = –2x + 3 and y = x2 – x + 1

Next, we plot the graph of both equations

From the graph of the equations (see attachment), we have the solution to be:

(x,y) = (-2,7) and (1,1)

Hence, the solutions are located at points (-2,7) and (1,1)

Read more about system of equations at:

https://brainly.com/question/14323743

Answer:

D.

(–2, 7) and (1, 1)

Step-by-step explanation:

I took the algebra exam

Answer:

Step-by-step explanation:

Answer:

so on the graph you can

Step-by-step explanation:

first the y axis number comes first so you look at that the you do the x axis it should look like 2,3 or 2,-3 hope this works

Answer: 2x3=y. 2x3=6

Step-by-step explanation:

one: figure out what the question is asking you. Two: do 2x3 and then get the answer. Last: switch it around to find your answer.

Answer:

5x5x5x5

Step-by-step explanation:

The expression that has the same value as [tex]5^4[/tex] is 25² or 625.

Exponents and powers are ways used to represent very large numbers or very small numbers in a simplified manner.

We have [tex]5^4[/tex].

Usually exponents can be expand using the number the power is raised.

As, if we have 9³ then it means 9 is multiplies by itself three times.

So, 9³ = 9 x 9 x 9= 729

Now, we have to expand  [tex]5^4[/tex] as

= 5 x 5 x 5 x 5

= 5² x 5²

= 25 x 25

= 25²

= 625

So, the Equivalent value to  [tex]5^4[/tex] is 25² or or 5² x 5² or 625.

Learn more about Exponent and power here:

https://brainly.com/question/15722035

#SPJ7

Answer:

6 deluxe pizzas

Step-by-step explanation:

200-5=195

195 is the total cost of pizzas

195=11.50x+15.25y

y=−0.75x+12.79

(the y intercept and slope are rounded)

x is reg. pizzas. y is deluxe

x+y=15

y=-x+15

if you plot both y=-x+15 and y=-0.75+12.79 you get coordinates that round to 9,6

9 pizzas

6 deluxe pizzas.

Answer:

ummmm i think its B and D

Step-by-step explanation:

c , Natural selection is the process where species evolved over time through trying to adapt their environment.

Answer:

supply and demand

Step-by-step explanation:

if we take 340 as the 100%, what is 425 off of it in percentage?

[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 340 & 100\\ 425& x \end{array} \implies \cfrac{340}{425}=\cfrac{100}{x} \implies \cfrac{4}{5}=\cfrac{100}{x} \\\\\\ 4x=500\implies x=\cfrac{500}{4}\implies x=125[/tex]

Answer:

P(4,4) / P(5/5) = 1/5

Step-by-step explanation:

Total possibility:

All the 5 books can be arranged in a rack with P(5,5)=5! ways

Favorable Possibility:

Math book is kept in a first place, it mean that it is fixed

So remaining 4 books and that can be arranged in P(4,4)=4! ways

Hence,

Probability= number of favorable cases / total number of possibilities

Probability = P(4,4) / P(5,5) = 4! / 5! = 1/5

Answer:

  caveat: your grader may expect <E, N> coordinates, reversed from these

  A. <N, E> = <-200, 346.410> (plane) and <25.712, 30.642> (wind)

  B. resultant <N, E> = <-174.288, 377.052>

  C. resultant = 415.385∠115°

Step-by-step explanation:

The necessary calculations for vector arithmetic are handily carried out by a suitable calculator. The attached shows a TI-84 work-alike, but there are many other possible choices.

The necessary calculations for doing this "by hand" (without a calculator that does vectors or complex numbers) are ...

  a∠b = a·cis(b) = (a·cos(b) +i·a·sin(b))

  a +i·b = √(a²+b²)∠arctan(b/a) . . . . . with attention to signs and quadrant

__

Ordinarily, bearings are measured clockwise from North, and angles in the x-y or complex plane are measured counterclockwise from +x (East). If you use bearing angles without any translation, the resulting (complex plane) coordinates from rectangular/polar conversion are ...

  (North + i·East)

Coordinates in this system can be added and subtracted in the usual way. When the result is converted back to a distance and direction, that direction can be considered to be a bearing angle. In short, we can use bearing angles in our math with no special treatment, provided we are consistent in that usage.

__

The airplane speed vector in <north, east> coordinates is ...

  400∠120° = 400cos(120°) +i·400·sin(120°) = <-200, 346.410>

Similarly, the wind speed vector is ...

  40∠50° = 40cos(50°) +i·40sin(50°) = <25.712, 30.642>

__

The sum of the vectors is found from the sum of their components:

  plane + wind = <-200 +25.712, 346.410 +30.642> = <-174.288, 377.052>

__

Converting this vector in linear form back to a magnitude and direction gives ...

  magnitude = √((-174.288)² +377.052²) = √172544.644542

  magnitude ≈ 415.385 . . . mph

  direction = arctan(-377.052/174.288) . . . . . 90° < θ < 180°

  direction ≈ 115°

_____

Additional comment

As we discussed above, the vector coordinates used here are <N, E> coordinates. If you translate the bearing angles to Cartesian plane angles (measured CCW from +x), the corresponding coordinates will be <E, N> coordinates. That is, rectangular coordinates will be reversed from those shown here. If you're filling in an answer box, you may want to be aware of that fact.

Answer:

A) no; there is not a consistent ratio

Step-by-step explanation:

If the polygons are similar than the corresponding sides will have similar ratios.

The corresponding sides of the polygons are (AD and WM) and (DK and ML)

The ratio from AD to WM is 6/4 or 1.5 and the ratio to DK to ML is 8/6 or 1.33

The corresponding sides do not have a common ratio therefore the polygon is not similar