Find the length of side x in simplest radical form with a rational denominator.

Find The Length Of Side X In Simplest Radical Form With A Rational Denominator.

Answers

Answer 1

Answer:

x = 2[tex]\sqrt{2}[/tex]

Step-by-step explanation:

Using the sine or cosine ratio in the right triangle and the exact value

cos45° = [tex]\frac{\sqrt{2} }{2}[/tex] , then

cos45° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{4}[/tex] = [tex]\frac{\sqrt{2} }{2}[/tex] ( cross- multiply )

2x = 4[tex]\sqrt{2}[/tex] ( divide both sides by 2 )

x = 2[tex]\sqrt{2}[/tex]


Related Questions

Describe the solution of g(x) shown in the graph. parabola opening down passing through 0 comma 2, negative 1.5 comma 4.25, and negative 3.5 comma 0 All real solutions All negative solutions All whole number solutions All solutions that lie on g(x)

Answers

Answer:

(A)All real solutions

Step-by-step explanation:

Given the function g(x) shown on the graph

One of the points of the parabola is  (-3.5, 0).

The point x=-3.5 is one of the solution of the parabola since it intersects the x-axis at that point.

The other point of intersection is on the positive side between 0 and 1.

Therefore, g(x) has two solutions: One negative real number and one positive real  number.

Therefore, g(x) has all real solutions.

The correct option is A.

Answer:

All solutions that lie on g(x)

Step-by-step explanation:

I took the test and that's the correct answer...

Please answer correctly !!!!! Will mark brainliest !!!!!!!!!!

Answers

Answer:

n= -11/5+ 3/5m

Step-by-step explanation:

Answer:

g(n) = [tex]\frac{5n+11}{3}[/tex]

Step-by-step explanation:

Given

3m - 5n = 11

Rearrange making m the subject

Add 5n to both sides

3m = 5n + 11 ( divide both sides by 3 )

m = g(n) = [tex]\frac{5n+11}{3}[/tex]

Reescreva os números que aparecem na forma de notação cientifica.
1- 12.756.000 m
2- 510.072.000km²
3- 5.973.600.000.000.000.000.000.000kg
4- 7.722.522.000
5- 1.350.000.000.000.000.000
6- 361.800.000km²

Answers

Answer:

1) [tex]1.276 \times 10^{7}\,m[/tex], 2) [tex]5.101 \times 10^{8}\,km^{2}[/tex], 3) [tex]5.974 \times 10^{24}\,kg[/tex], 4) [tex]7.723\times 10^{9}[/tex], 5) [tex]1.350 \times 10^{18}[/tex], 6) [tex]3.618\times 10^{8}\,km^{2}[/tex]

Step-by-step explanation:

(This exercise is written in Portuguese and for that reason explanation will be held in Spanish, which has strong similarities with that language)

La notación científica presenta el siguiente formato:

[tex]x.y \times 10^{n}[/tex]

Donde:

[tex]x[/tex] - Un dígito entero.

[tex]y[/tex] - Dígitos decimales consecutivos.

[tex]n[/tex] - Grado de potencia.

Para cálculos cotidianos se recomienda el uso de tres decimales consecutivos. A continuación, se presentan los números convertidos a la forma de notación científica:

1) [tex]12.756.000\,m[/tex]

El grado de la potencia es siete (7).

[tex]1.276 \times 10^{7}\,m[/tex]

2) [tex]510.072.000\,km^{2}[/tex]

El grado de la potencia es ocho (8).

[tex]5.101 \times 10^{8}\,km^{2}[/tex]

3) [tex]5.973.600.000.000.000.000.000.000\,kg[/tex]

El grado de la potencia es veinticuatro (24).

[tex]5.974 \times 10^{24}\,kg[/tex]

4) [tex]7.722.522.000[/tex]

El grado de la potencia es nueve (9).

[tex]7.723\times 10^{9}[/tex]

5) [tex]1.350.000.000.000.000.000[/tex]

El grado de la potencia es dieciocho (18).

[tex]1.350 \times 10^{18}[/tex]

6) [tex]361.800.000\,km^{2}[/tex]

El grado de la potencia es ocho (8).

[tex]3.618\times 10^{8}\,km^{2}[/tex]

What ya the y-intercept of the function f(x) = -2/9x + 1/3

Answers

Answer:

-2/9 would be the slope

1/3 would be the y-intercept.

Answer: C. 1/3

2⁄6 + 4⁄8 + 3⁄4 = is what?

Answers

Answer:

2/6+4/8+3/4=19/12

(Decimal: 1.583333)

hope i helped

-lvr

Answer:

1 7/12

Step-by-step explanation:

2/6 + 4/8+3/4

Simplify the fractions

1/3 + 1/2 +3/4

The common denominator is 12

1/3*4/4 + 1/2 *6/6+ 3/4*3/3

4/12 + 6/12 +9/12

19/12

12/12 + 7/12

1 7/12

the sum of (x-1) + (2x+ 3) is 3x-2 correct?

Answers

Answer: no , the correct answer is 3x+2

Step-by-step explanation:

Remove parentheses.

x−1+2x+3

Collect like terms.

(x+2x)+(−1+3)

Simplify.

3x+2

11) Type the missing number in this sequence:
49,
43,
37.
31,
19,
13

Answers

Sequence is take away 6 each time so the next three terms are....

7

1

-5

Answer:

7

Step-by-step explanation:

act

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Answers

Answer:

[tex] \boxed{D. \: (f-g)(x) = {x}^{2} + 4x + 3} [/tex]

Given:

[tex]f(x) =2 {x}^{2} - 5 \\ g(x) = {x}^{2} - 4x - 8[/tex]

To find:

[tex](f - g)(x) = f(x) - g(x)[/tex]

Step-by-step explanation:

[tex] \implies(f - g)x = f(x) - g(x) \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = (2 {x}^{2} - 5) - ( {x}^{2} - 4x - 8) \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = (2 {x}^{2} - 5) + (- {x}^{2} + 4x + 8) \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 2 {x}^{2} - 5 - {x}^{2} + 4x + 8 \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 2 {x}^{2} - {x}^{2} + 4x - 5 + 8 \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = {x}^{2} + 4x + 8 - 5 \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = {x}^{2} + 4x + 3[/tex]

Please help! Correct answer only!

Aisha runs a doggy daycare, where 8 dogs are currently enrolled. The collection of dogs includes 6 of Aisha's favorite type of dog, bulldogs.
If Aisha randomly picks 5 dogs to play in the park during the first time slot, what is the probability that all of them are bulldogs?

Write your answer as a decimal rounded to four decimal places.

Answers

Answer:

Probability ≈ 0.1071

Step-by-step explanation:

Consider steps below;

[tex]Total Possible Outcomes - 8C5,\\\\8! / 5! ( 8 - 5 )!,\\1 * 2 * 3 * 4 * 5 * 6 * 7 * 8 / ( 1 * 2 * 3 * 4 * 5 )( 1 * 2 * 3 ),\\\\6 * 7 * 8 / 6 = Combinations - 56,\\\\[/tex]

[tex]Number Of Outcomes - 6C5,\\\\6! / 5! ( 6 - 5 )!,\\1 * 2 * 3 * 4 * 5 * 6 / ( 1 * 2 * 3 * 4 * 5 ) ( 1 ),\\720 / 120 * 1,\\\\Outcomes - 6[/tex]

[tex]Conclusion ; Solution - 6 / 56 = ( About ) 0.1071\\Hope That Helps![/tex]

Solution; Probability ≈ 0.1071

In right triangle ABC, ∠A is a right angle and sinC=15/17. What is the ratio cos C?

Answers

Answer:

8/17

Step-by-step explanation:

From the triangle, given sin C=15/17 we will use the trigonometry identity to get the ratio of cosC. Using the SOH CAH TOA identity;

sinC = opp/hyp = 15/17

opposite = 15

hypotenuse = 17

According to pythagoras theorem;

hyp² = opp²+adj²

17² = 15² + adj²

adj²= 17²-15²

adj = √64

adj = 8

Since cosC = adj/hyp

cosC = 8/17

The ratio of cos is 8/17

Direct Variation: If y = -16, when x = 4, find x when y = -96.

Answers

Answer:

x = 24

Step-by-step explanation:

y=  -16

-16 x 6 = -96

y= -96

x= 4

4 x 6 = 24

x=24

The volume of a rectangular prism can be found by multiplying the base area, B, times the height. If the volume of the prism is represented by 15x2 + x + 2 and the height is x2, which expression represents B, the area of the base? 15x + + 15x + + 15 + + 15 + +

Answers

Answer:

[tex]Base (B) = /frac{15x² + 1 + 2}{x}[/tex]

Step-by-step Explanation:

==>Given:

Dimensions of a rectangular prism are expressed as follow:

Volume (V) = 15x² + x + 2

Height (h) = x²

==>Required:

Expression of the Base area (B)

==>Solution:

Volume (V) = Base (B) × Height (h)

15x² + x + 2 = B × x²

Divide both sides by x²

[tex]\frac{15x² + x + 2}{x²} = B

[tex]Base (B) = /frac{15x² + 1 + 2}{x}[/tex]

Answer: c

Step-by-step explanation:

Karla empleo 6kg de manzanas para elaborar 90 bocadillos mas ¿Cuantos Kilogramos de manzanas necesitara? ¿ cuantos bocadillos podria hacer con 12kg de manzanas?

Answers

Answer:

12kg apple will make 189 more sandwiches

Step-by-step explanation:

Here, we are told that 6kg of apple was used to make 90 more sandwiches and we need to know the number of sandwiches that can be made from 12kg of apples.

Now;

6kg made 90 sandwiches

12kg will make x sandwiches

To get x, we simply cross multiply

6 * x = 12 * 90

x = (12 * 90)/6

x = 2 * 90

x = 180 sandwiches

76 deliveries in 4 hours
= [ deliveries per hour

Answers

Answer: 17.75 deliveries made per hour

Step-by-step explanation:

71/4 = how many deliveries made per hour.

There would be 17.75 delivery’s per hour

(60,0) how is it shown on graph?

Answers

Answer:

0 y and 60 x so

VVVVVVVVVVVVVVVVVVVVVV

Step-by-step explanation:

its 60 on the x-axis

Need help with this problem

Answers

Answer:

Start at the top. Place the numbers below it in a triangular pattern. Each number is the added numbers directly above it.

Step-by-step explanation:

Start with "1" at the top, then continue placing numbers below it in a triangular pattern. Each number is the numbers directly above it added together.

The horizontal sum's double each time.

4/5x(-3/7)-3/8+6/5x(-3/7
Find using suitable property

Answers

Answer:

-1 13/56

Step-by-step explanation:

[tex] \frac{4}{5} \times ( - \frac{ 3}{7} ) - \frac{3}{8} + \frac{6}{5} \times ( - \frac{3}{7} ) = \\ = - \frac{12}{35} - \frac{3}{8} + \frac{6}{5} \times ( - \frac{3}{7} ) \\ = - \frac{12}{35} - \frac{3}{8} + ( - \frac{18}{35} ) \\ = - \frac{96}{280} - \frac{105}{280} - \frac{144}{280} \\ = - \frac{201}{280} - \frac{144}{280} \\ = \frac{345}{280} = - 1 \frac{65}{280} \\ = - 1 \frac{13}{56} [/tex]

#I_hope_this_helps

#save_earth

#stay_at_home

#keep_spirit

Which of the following is equivalent to 18-V-25

Answers

Answer:

the correct answer is 18 - 5i.

Step-by-step explanation:

Answer:

18-5i

Step-by-step explanation:

Y’all mind to help a dumb asian?

Answers

Answer:

A is 62 b is 54 c is 62 and d is 62

And 7

Step-by-step explanation:

Since it equals to 180 you add 62 and 54 which gives u 118 then subtract it

Not sure about the second one

Answer:

7.

∠a = 64

∠b = 62

∠ c = 64

∠d = 54

8.

∠6  and ∠7

Step-by-step explanation:

7. I know bc opposite angles are equivalent.

8. I know bc supplementary angles  are two anglers that add to 180 degrees, aka a straight line.

11 + 11 = 4 22 + 22 = 16 33 + 33 = ?

Answers

Answer:

66

Step-by-step explanation:

Answer:

Answer will be 36

Step-by-step explanation:

11*11=4 -> (1+1)*(1+1)=4, 22*22=16 -> (2+2)*(2+2)=16. Hence, 33*33 -> (3+3)*(3+3)=36. Add the digits of 11 that will be 2. hope this helps you :)

While Diane was visiting her sister in Kingwood, she bought a bunch of balloons that was marked down 20% from an original price of $5. If the sales tax in Kingwood is 8.5%, what was the total cost of the bunch of balloons? $

Answers

Answer:

$4.34

Step-by-step explanation:

Given the information:

The original price: $5Discount : 20% Tax: 8.5%

We can find out the actual price that Diane bought a bunch of balloons that was marked down 20% is:

= the original price (100% - discount rate)

= 5(100% -20%)

= $4

The tax amount she need to pay is:

= The actual price*tax rate

= $4*8.5%

= $0.34

=> the total cost of the bunch of balloons :

The actual price + tax price

= $4 + $0.34

= $4.34

Hope it will find you well.

What is the product of ( x + 3) ( x - 4)?

I'm sure its x^2 - x - 12, but I wanted to double-check :D

Answers

Answer: x² - x - 12

Step-by-step explanation: When multiplying two binomials together, we can use the F.O.I.L. method.

First, Outer, Inner, Last.

We take the product of the first terms which is x² plus the product of the outer terms which is -4x plus the product of the inner terms which is 3x plus the product of the last terms which is -12.

So we have x² - 4x + 3x - 12.

Simplifying from here by combing the middle terms, we have x² - x - 12.

Pay very close attention to your positives and negatives as you F.O.I.L. because this is the area where most mistakes occur.

Write as an algebraic expression

Answers

Answer:

17. [tex]2^{6}[/tex]

19. 2 * 5

21. 8²

HELP ME ASAP FOR BRANETEST I MEAN IT >_

Answers

Answer:1 1/6

Step-by-step explanation:

The slope of the line whose equation is 5x - 3y = 4 is

Answers

Answer:

The slope is 5/3

Step-by-step explanation:

5x - 3y = 4

Solve for y

Subtract 5x from each side

5x-5x - 3y =-5x+ 4

-3y = -5x+4

Divide each side by -3

-3y/-3 = -5x/-3 +4/-3

y = 5/3x -4/3

This is in the form

y =mx+b

The slope is m and the y intercept is b

The slope is 5/3

The slope-intercept form of the equation of a line that passes through the point (–2, –13) is y = 5x – 3. What is the point-slope form of the equation for this line?

y – 13 = 5(x – 2)
y + 13 = 5(x + 2)
y – 2 = 5(x – 13)
y + 2 = 5(x + 13)

Answers

Answer:

y+13 = 5(x+2)

Step-by-step explanation:

y = 5x – 3

This is in slope intercept form  y = mx+b so the slope is m which is 5

We have a slope and a point ( -2, -13)

Point slope form is

(y-y1) = m(x-x1)

y - -13 = 5(x--2)

y+13 = 5(x+2)

Answer:

He is right

Step-by-step explanation:

I just took the quiz on edu

4. Bailey just ran four miles outside. Her time for each mile was 9.05/2,24/10/922. How long did it take for her to run all four miles?

Answers

Answer: 30 minutes, 51 seconds

Step-by-step explanation:

Given the time to run each miles to be

9.05/2,24/10/922. That is

9.05, 2.24, 10, 9.22

Time taken for her to run the entire four miles will be

9.05 + 2.24 + 10.0 + 9.22 = 30 :51

30 minutes, 51 seconds

Sara's having a barbecue and she cooks burgers. She buys a 6 pack of breadrolls and a 10 pack of burger meat. How can sara get the same amount of burger to bread rolls

Answers

Answer:

Buying 5 packs of bread rolls and 3 packs of burger meat

Step-by-step explanation:

Sara needs to find the least common multiple between 6 bread rolls and 10  pieces of burger meat:

[tex]LCM:\\10\ 6\ |2\\5\ \ 3\ |3\\5\ \ 1\ |5\\1\ \ 1\ |1\\\\LCM = 2*3*5=30[/tex]

Sara will get the same amount of burger to bread rolls when she buys 30 units of each. The numbers of packs of each product that she must buy are:

[tex]B=\frac{30}{6}=5\ packs\\ M=\frac{30}{10}=3\ packs[/tex]

Sara should buy 5 packs of bread rolls and 3 packs of burger meat.

PLZ HELP QUICK PLZ
Find the arc length of the semicircle.
Either enter an exact answer in terms of
π
πpi or use
3.14
3.143, point, 14 for
π
πpi and enter your answer as a decimal.

Answers

Answer:

hope this helps you

Answer: it’s 11n

Step-by-step explanation: so we all know this is the answer people :^

Hi...Could u plz help me...

Answers

Answer:

B and D I dont have time to explain

I am sorry.

Thanks for question

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