(3[tex]\sqrt{7} \\[/tex]+7[tex]\sqrt{3}[/tex])/[tex]\sqrt{21}[/tex]

Answers

Answer 1

Answer:

sqrt(3) + sqrt(7)

Step-by-step explanation:

3*sqrt(7) / sqrt(21) = 3/sqrt(3)

If you rationalize the denominator, you get 3*sqrt(3)/3. The threes cancel

You are left with sqrt(3)

7sqrt(3)/sqrt(21) = 7 / sqrt(7)

If you rationalize the denominator, you get

7  sqrt(7)/ 7 = sqrt(7)

The 7s have been canceled out

The answer is

sqrt(3) + sqrt(7)


Related Questions

Nicole Tobin receives a salary of $250
per week plus a commission of 15% of all
sales over $1,500. Find her earning
during a week in which sales totaled
$3,000.

Answers

Answer:

Earnings = 475

Step-by-step explanation:

She gets a straight salary of                                            250

She sold  3000 worth of merchandise            3000

She receives a commission on anything over 1500             Subtract

She gets a commission on                                 1500

15%  of 1500 = 15/100 * 1500                                         225

Earnings                                                                          475  

cherly gets paid $8 per hour at her job at the record store. she made a total of $96 last week .write a multiplication equation to show how many hours she worked last week

Answers

Answer:

8(h)=96

Step-by-step explanation:

Remember when you are writing a multiplication equation, it's a division backwards.

96/8=h

h×8=96

hope this helps you

goodluck

Answer: 8x=96

Step-by-step explanation:

8X = 96

X = 96/8

X = 12 hours

If yk please help thank you

Answers

Answer: No real solution

Step-by-step explanation:

Could I get the answer don’t understand

Answers

Answer:

DE = 21.4

Step-by-step explanation:

The parallel lines divide the transversals proportionally, that is

[tex]\frac{DE}{EB}[/tex] = [tex]\frac{DF}{FC}[/tex] , substitute values

[tex]\frac{DE}{10.7}[/tex] = [tex]\frac{32}{16}[/tex] = 2 ( multiply both sides by 10.7 )

DE = 21.4

please help have a lot of math to do today

Answers

Answer:

115 in.^2

Step-by-step explanation:

The total surface area is the sum of the areas of the square base and the 4 congruent triangular faces.

SA = b^2 + 4 * bh/2

SA = (5 in.)^2 + 4 * (5 in.)(9 in.)/2

SA = 25 in.^2 + 2 * 45 in.^2

SA = 115 in.^2

Full working out for this question please

Answers

Answer: B. t = 9.6tan(29°)

Step-by-step explanation:

Based on the fact:

[tex]tan(x)=\frac{opposite}{adjacent}[/tex]

Set x = 29 and solve:

[tex]\\\\tan(29)=\frac{t}{9.6} \\\\t=9.6*tan(29)[/tex]

find the measure of the indicated angle to the nearest degree​

Answers

Answer:

? ≈ 28°

Step-by-step explanation:

Using the sine ratio in the right triangle

sin? = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{19}{41}[/tex] , then

? = [tex]sin^{-1}[/tex] ([tex]\frac{19}{41}[/tex] ) ≈ 28° ( to the nearest degree )

The slopes of two lines. Determine the value of ‘a’ that will make the lines
parallel
and perpendicular

Answers

i think a is 12 sorry if it's wrong

find the distance of gap d

Answers

Answer:

[tex]\displaystyle d \approx 15.8768[/tex]

Step-by-step explanation:

We want to find the distance of d or AB.

From the right triangle with a 35° angle, we know that:

[tex]\displaystyle \tan 35^\circ = \frac{50}{PB}[/tex]

And from the right triangle with a 42° angle, we know that:

[tex]\displaystyle \tan 42^\circ = \frac{50}{PA}[/tex]

AB is PA subtracted from PB. Thus:

[tex]\displaystyle d = AB = PB - PA[/tex]

From the first two equations, solve for PB and PA:

[tex]\displaystyle \frac{1}{\tan 35^\circ } = \frac{PB}{50} \Rightarrow PB = \frac{50}{\tan 35^\circ}[/tex]

And:

[tex]\displaystyle \frac{1}{\tan 42^\circ } = \frac{PA}{50} \Rightarrow PA = \frac{50}{\tan 42^\circ}[/tex]

Therefore:

[tex]\displaystyle d = AB = \frac{50}{\tan 35^\circ} - \frac{50}{\tan 42^\circ}[/tex]

Using a calculator:

[tex]\displaystyle d= AB \approx 15.8768[/tex]

PLease help Qwq it precalc

Answers

Answer:

1) x= -7/5  

Step-by-step explanation:

−5x-7=0

-5x=7

x=-7/5

Answer:

D

Step-by-step explanation:

To find the zero let y = 0 , that is

- 5x - 7 = 0 ( add 7 to both sides )

- 5x = 7 ( divide both sides by - 5 )

x = [tex]\frac{7}{-5}[/tex] = - [tex]\frac{7}{5}[/tex] → D

WILL BE MARKED BRAINLIEST!!!!!HHHHHeeeelllllllppppppp!!!!!!!!!!!!!!!!!!! URGENT!!!!!!!


Jake tossed a paper cup 50 times and recorded how it landed. The table shows the results:


Position Open Side Up Closed Side Up Landing on Side

Number of Times Landed in Position 1 5 44



Based on the table, determine the experimental probability of each outcome (landing open side up, landing closed side up, and landing on its side). Show your work.

Answers

Answer:

Closed side up : 5/50

1/50 = open side up

44/50 = landing side

experimental probablity Formula:

no. of times event was conducted/ Total no. of times experiment was conducted.

Let's first start with open side up.

No. times it was conducted was 1.

Total no times experiment conducted:  50 times

1/50 = open side up

Closed side up

No. times it was conducted was 5

Total no times experiment conducted:  50 times

5/50

The same for landing on side :

44/50

Have a wonderful day!!

The experimental probability of each outcome (landing open side up, landing closed side up, and landing on its side) is  given as:

[tex]P_e(A) = \dfrac{1}{50} = 0.02\\\\P_e(B) = \dfrac{4}{50} = 0.08\\\\P_e(C) = \dfrac{44}{50} = 0.88\\\\[/tex]

What is experimental probability?

Experimental probability calculates the probability of some event from the results of experiments.

For an event E, we get the experimental probability of that event

[tex]P_e(E) = \dfrac{\text{Number of times E occurred}}{\text{Number of times experiments was done}}[/tex]

where, [tex]P_e(E)[/tex] is denoting experimental probability of occurrence of E.

For the given case, if we name the events for results of tossing of paper cup as:

A = Event of getting open side upB = Event of getting close side upC = Event of that cup landing on sides

Then, as it is given that:

Number of times paper cup was tossed = 50

Number of times A occurred = 1Number of times B occurred = 5Number of times C occurred = 44

Thus, their experimental probabilities are obtained as:

[tex]P_e(A) = \dfrac{1}{50} = 0.02\\\\P_e(B) = \dfrac{4}{50} = 0.08\\\\P_e(C) = \dfrac{44}{50} = 0.88\\\\[/tex]

Learn more about experimental probability here:

https://brainly.com/question/2547434

A cafeteria offers oranges, apples, or bananas as its fruit option. It offers peas, green beans, or carrots as the vegetable option. Find the number of fruit and vegetable options. If the fruit and the vegetable are chosen at random, what is the probability of getting an orange and carrots? Is it likely or unlikely that a customer would get an orange and carrots?

Answers

i don't know please answer me

The graph of g(x) = (x + 2)2 is a translation of the graph of f(x) ____ by ____ units.

Answers

Step-by-step explanation:

VERY EASY FOR ME

The real part (red) and imaginary part (blue) of the Riemann zeta function along the critical line Re(s) = 1/2. The first non-trivial zeros can be seen at Im(s) = ±14.135, ±21.022 and ±25.011. The Riemann h

ypothesis, a famous conjecture, says that all non-trivial zeros of the zeta function lie along the critical line.

SO 6+/7× and 78/+×

ANSWER

can i get some help on this question please? ASAP!!

Answers

Answer:

left is a very good approximately .9 POSITIVE correlation

right is a very good approximately -.9 NEGATIVE correlation

Step-by-step explanation:

Question 13 of 46
What is the remainder for the synthetic division problem below?

Answers

Answer:

Step-by-step explanation:

Let's do this out as best as we can here. Here's the problem:

2 |  3   1   2   -7

___________

The rule is to bring down the first term, whatever it is (ours is a 3), and multiply it by the number "outside" which is a 2. Put that product up under the number next to the 3:

2 |  3   1   2   -7

          6          

    3

Then add straight down, and multiply that sum by the 2 outside and put that product under the next number (the 2 "inside" the box):

2 |  3   1   2   =7

          6  14      

     3   7

And do the same thing. Add straight down, multiply the sum by 2 and put the product up under the next number, -7, and add again. The final is shown below:

2 |  3     1     2     -7

            6   14     32

    3      7    16    25

The last number in the very bottom row, the depressed polynomial row, is the remainder. Ours is a 25. This is the super easy way to divide polynomials, as long as our divisor is a linear (first degree) term.

hurry up pls!!! i need some help quick fast plssss!!!!

Answers

Answer:

45

Step-by-step explanation:

9 x 5 = 45

it's a multiplication question


Find the value of 9x + 4y, when x = 4 and y = -3.

Answers

Answer:

hope found the answers bye.

Step-by-step explanation:

9x + 4y - 4  =  0     

Putting in the x-value of -1, we get:

9(-1) + 4y - 4  =  0

Simplifying:

-9 + 4y - 4  =  0

Combining the -9 and the -4:

4y - 13  =  0

Getting rid of the -13 by adding 13 to both sides:

4y - 13 + 13  =  0 + 13

4y  = 13

Dividing both sides by 4:

y = 13/4

Checking:  Is 9(-1) +4(13/4) -4  really zero?    Yes!

24
9x4+4x-3
36+-12=24
answer=24

The step function f(x) is graphed
What is the value of ( -1)?
3
4
0 1
3
0 0
2
1
1
.
-4-3-2
1
2
3
4
5 6
X
-2

Answers

-4-3-2

1

2

3

4

5 6

x

-2gbhdfcjfghu

Find the perimeter of the polygon

Answers

Answer:

Answer 60

Step-by-step explanation:

The distance from an exterior point to the incircle is equal to the tangent length in both cases.

So the 19 is made up of 9 and 10.

The length of the other portion of the tangent from the end of 19 to the tangent point on the right is also 10.

By a similar argument the lower length of the line to the tangent point is 11.

So you have

9 + 9 + 10 + 10 + 11 + 11

18 + 20 + 22 = 60.

esto es verdadero oh falso
como se resuelve
3/4 + 1/2 + 1/3 + 2/9 + ...... = 9/4

Answers

Answer

The missing value is 4/9

Which of the following is equal to ….

Answers

Answer:

B option is your answer

Step-by-step explanation:

please mark as brainliest

Answer:

B. 4th root of 7

Step-by-step explanation:

denominator is the root. numerator is the exponent

Tickets for the school dance are $5. At that price, 300 students go to the dance. A survey of the students shows that if the ticket price goes up by $0.50, the number of students going to the dance decreases by 30. What is the optimum ticket price?

Answers

Answer:

The optimal price should be $10 which will result in maximum revenue.

Step-by-step explanation:

y = [5+ 0.5x] [ 300 - 30x]

y = 1500 - 150x + 150x - 15x^2

y = 1500 - 15x^2

x^2 = 1500 /15

x = [tex]\sqrt{100}[/tex]

x = 10

Given: BE and AD are altitudes (intersecting at H) of triangle ABC, while F,G, and K are midpoints of AH, AB and BC, respectively. Prove: angle FGK is a right angle.

Answers

Solution :

Since [tex]BE[/tex] is an altitude of a triangle [tex]ABC[/tex], it is perpendicular to [tex]AC[/tex] (since the triangle ).

Since [tex]G[/tex] and [tex]K[/tex] are the midpoints, then the line [tex]BG=GA[/tex] and the line [tex]BK=KC[/tex]. The line [tex]KG[/tex] must be parallel to the line [tex]AC[/tex] and is therefore perpendicular to [tex]BE.[/tex]

Now since F and [tex]G[/tex] are the mid points, we get  [tex]GA=BG[/tex]. The line [tex]GF[/tex] is parallel to BH  and is perpendicular to AC.

Therefore, we have

[tex]KG-GK[/tex] parallel to [tex]AC[/tex]

[tex]AC[/tex] perpendicular to [tex]BE-BH-BJ[/tex]

[tex]BE-BH-BJ[/tex] parallel to [tex]GF[/tex]

Thus [tex]GK[/tex] is perpendicular to [tex]GF[/tex] and also ∠[tex]FGK[/tex] is a right angle.

What is the value of g? ​

Answers

Answer:

56 degrees

Step-by-step explanation:

1. Notice how g is part of a right angle, which equals 90 degrees.

2. Notice how the 34 degree angle on the other side is also part of a 90 angle.

3. Notice how the 2 right angles are vertical to each other, meaning they are the same.

4. Subtract 34 from 90.

5. g=56 degrees

Hope this helps!

-Stella

I think it would be 90 degrees. The g marking looks like it's taking up 2 angles. One of the angles is 34 degrees, because it's opposite to the one marked. Together they look like they form a 90 degree angle.

*It's kind of of hard to see if g is referring to both angle degrees or not.

SOMEONE HELP ME PLEASE
Decide if the following scenario involves a permutation or combination. Then find the number of possibilities.

There are 50 applicants for two Systems Engineer positions at a local company.

Answers

Answer:

you did not provide the numbers to answer any question...

but the formula that you want is probably this one

Combination Formula nCr=n!(n−r)!r!

Step-by-step explanation:

6. How much larger is 2 x 104 than 8 x 102?
A. 15
B. 20
C. 25
D. 30​

Answers

Answer:

20

Step-by-step explanation:

it is 20

Write the expression 4^4(4^-7)(4) using a single
exponent.
4^-28
4^-4
4^-3
4^-2

Answers

Answer:

4^(-2)

Step-by-step explanation:

4^4(4^-7)(4)

We know that a^b * a^c = a^(b+c)

4^4(4^-7)(4^1)

4^(4+-7+1)

4^(-2)

determine the condition under which job Shane should collect and explain

Answers

Answer:

By the 4th hour of working, both jobs pay 80, but Job B will pay less by the 5th hour, and continues to pay less as time progresses after that.

Draw the graph of Job b on the same graph as A and you'll see exactly when A passes B.

He'll make more at job A if he works more than 4-5 hours, but more at job B if he works less than 4-5 hours (again, don't know at exactly what time A passes B, wouldn't recommend putting "4-5" on a paper)

Step-by-step explanation:

hour          job A pay           job B pay

----------------------------------------------------------

 0                    $0                    $30

 1                   $ 20                $42.50

 2                   $40                   $55

 3                   $60                $67.50

 4                   $ 80                  $80

 5                   $100               $ 92.50

Hope this helps!

Given the following coordinates complete the reflection transformation.​

Answers

A(-0,-2) B(-1,-4) C(4,-6)

Answer:

see explanation

Step-by-step explanation:

Under a reflection in the x- axis

a point (x, y ) → (x, - y ) , then

A (2, 0 ) → A' (2, 0 )

B (4, 1 ) → B' (4, - 1 )

C (6, - 4 ) → C' (6, 4 )

Under a reflection in the y- axis

a point (x, y ) → (- x, y ) , then

A' (2, 0 ) → A'' (- 2, 0 )

B' (4, - 1 ) → B'' (- 4, - 1 )

C' (6, 4 ) → C'' (- 6, 4 )

Given the new regression model, which of the following statements is true? As the number of retail stands increases by one, the daily revenue increases by $2,298.36 on average. As the number of retail stands increases by one, the daily revenue increases by $2,298.36 on average, provided that the number of female visitors and food stands remains constant. As the number of female visitors increases by ten, the daily revenue increases by $29.34 on average. As the number of female visitors increases by ten, the daily revenue increases by $29.34 on average, provided that the number of retail stands and food stands remains constant.

Answers

Answer:

As the number of retail stands increase by one, the daily revenue increases by $2,298.36 on average, provided that the number of female visitors and food stands remains constant.

Step-by-step explanation:

This is gross relationship of regression model, multiple regression model describes net relationship. The net effect on number of retail stands on daily revenue. The average increase in daily revenue as the number of retail stands increases by one while other variables remains constant.

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