find the length of x in simplest radical form with a rational denominator

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

Answers

Answer 1

Answer:

           √3

Step-by-step explanation:

[tex]\cos(30^o)=\dfrac{\sqrt3}2[/tex]

From triangle: [tex]\cos(30^o)=\dfrac x2[/tex]

Therefore:

            [tex]\dfrac x2=\dfrac{\sqrt3}{2}\\\\x=\sqrt3[/tex]

Answer 2
It is equals to 3 I think

Related Questions

The track team is trying to reduce their time for a relay race. First they reduce their time by 1.2 minutes. Then they are able to reduce that time by 1/10. If their final time is 3.60 minutes, what was their beginning time?

Answers

Answer:

5.2 Minutes, or 5 minutes and 12 seconds

Step-by-step explanation:

You can solve this problem by working backward.  Since our number gets smaller by a 1/10 or 0.1, in order to work backward we must multiply 3.60 by 10/9, since one tenth has been taken away already.  When we do this, we get 4.0.  When we add 1.2 minutes to that, we get a final answer of 5.2 minutes, or 5 minutes and 12 seconds.

410 is what percent of 65?

Answers

Answer:

15.85%

Step-by-step explanation:

you know you have 65 and you have 410 so you just multiply and try and figure out the ratio and how much percentage is out of it.

1. Please help if possible :)

Answers

Answer:

54

Step-by-step explanation:

6x=9x-27

x=9

9*9-27=54

The number of incidents in which police were needed for a sample of 10 schools in one county is:
6
40
49
4
42
47
17
8
32 11

Find the first and third quartiles for the data.
Part: 0/2
Part 1 of 2
First quartile Q, is

Answers

Answer:

3

Step-by-step explanation:

expand My eBay and thought you might be a good time to get the latest flash player is required for video playback is unavailable right now because this video is not available for remote playback is unavailable right now because this video is not available for remote playback is unavailable right now because this video is not available for remote playback is unavailable right for me as soon is unavailable and nice and clean this is unavailable for video for me and

Is the relation a function?? Plzz helppp!!!

(1,19) , (2,23) , (3,23) , (4,29) , (5,31)

Answers

yeah, all the domain numbers are different. it’s a function for sure.

evaluate this expression -2.8 + -2.5

Answers

Answer:

-5.3

Step-by-step explanation:

-2.8+(-2.5)=-2.8-2.5=-5.3

Answer:

-5.3

Step-by-step explanation:

please help! it would be much appreciated

Answers

Answer:

20

Step-by-step explanation:

Please help will give brainliestw

Answers

Answer:

6 square units

Step-by-step explanation:

In oder to do this, you need graph paper to make it easier and then mark your graph paper with the quadrants.

I got 3 unites for the height and 4 units for the base

4 x 3 = 12 square units

however the formula for a triangle is Ab/2

so divide 12/2 = 6

So its 6 square units

Does the point (2, 5) satisfy the equation y = 5x − 5?

Answers

Answer:

yes

Step-by-step explanation:

so x=2 and y=5

5 = 5 x 2 - 5

0=0

equation is right

in order to raise money for road repairs, the bridge tolls going to increase 130% next month. If the bridge is currently 2.50 how much will the toll increase?

Answers

Answer:

$5.75

Step-by-step explanation:

I hope you get it right!

Please help!!! I’m stuck

Answers

Answer:

20/29

Step-by-step explanation:

Since 20inches is the opposite side size to the angle. Opposite = 20.

[tex] \cos( \alpha ) = \frac{adj}{hyp} [/tex]

Note: Hypothenus is the longest side of a right angle triangle which is 29inches.

Thus,

[tex] \cos( \alpha ) = \frac{20}{29} [/tex]

During a sale, a store offered a 15% discount on a TV that originally sold for $420. After the sale, the discounted price of the TV was marked up by 15%. To the nearest whole number, what percent of the original price was the price after markup?

Answers

Answer:

Step-by-step explanation:

Your answer

303.45 $

Mark it as Brainlist. Follow me for more answer.

please helpppp and explain

Answers

Answer:

angle BAC=50-2x

Step-by-step explanation:

angle ACD=115+x

then, angle ACB=180-(115+x)   because it is a supplementary angle

angle ABC=angle ACB because it is an isosceles triangle

angle BAC=180-2[180-(115+x)]

angle BAC=180-360+230-2x

angle BAC=50-2x

Convert to %

1) 1/2

2) 1/4

3) 1/3

4) 3/10

5) 6.5/10

Answers

Answer:

1) 50%

2) 25%

3) 33.33 %

4) 30%

5) 65%

Last week, labron jogged for 2 1/4 miles. This week , he plants to jog 2 times as far as last week. How many miles does Lebron Plant to jog this week?

Answers

Answer:

4.5 miles

Step-by-step explanation:

2 times as far as last week

last week was 2.25 miles

2* 2.25 = 4.5 miles

How many solutions does the equations 2m + 4 (m-3) = 7m - 4 have?

Answers

Answer:

One solution

Step-by-step explanation:

since the graph formed by them has interesting lines, it will just have one solution

5 Marta designs a logo for her mother's business,
X-treme Nutrition. The logo is shown.
35°
35°
b
Which equation and solution best represents
angle b?
A b + 35 = 90; b = 55°
B b-35 = 35; b = 70°
C 6+ 70 = 180; b = 110°
D b + 35 = 180; b = 145°

Answers

Answer:

(C). b + (2 × 35) = 180; b = 110°

Step-by-step explanation:

WHAT WOULD THIS BEEE!!

Answers

use Pythagoras theorem

20 units

the answer is 20 units! (B)

Will give, Branliest.​

Answers

Answer:

24

Step-by-step explanation:

x * 5 - 17 = 103

x * 5 = 120

x = 24

Answer:

s=24

103+17=120

120÷5=24

making the answer 24

Please mark brainliest

Look at the information below, decide what type of substance the paint is.
ANSWER NEEDED ASAP

Answers

Answer:

A mixture?

Step-by-step explanation:

what value of x makes the equation 6x - 10 = -10 true

a -3 1/3
b 0
c 5
d 8 1/3

Answers

the value of x that makes the equation true is b(0)

What is equivalent to 7x(4x-5)

Answers

7x(4x-5)

Distribute

28x^2-35x

Ans : 28x^2-35x

Answer:

28x - 5

Step-by-step explanation:

coeffecients with the same variable can be multiplied added subtracted divided so i multiplied 7 and 4 because they have the same variable which is X so it would be 28x and you can't multiply 7x by 5 because it doesnt have a variable consider multiplying if it has the same variable when it has a variable. so it would just be 28x - 5

The ratio of students to teachers at a school is 19 : 1. At this school, there are 400 people (teachers and students). How many of these 400 people are students? (enter number only, without the unit)

Answers

Answer:

There are 380 students and 20 teachers.

Answer:

380

Step-by-step explanation:

Let 19x =  no. of students

        x =  no. of teachers

Then,  x + 19x = 400

20x = 400

x = 20

19x = 19(20) = 380

A man weighing 800 N is hanging from a 2 mm diameter titanium wire with a cross-section of 3 x 10^-6 m^2. Will the wire break?

Answers

Answer:

Since stress is greater than ultimate strength, the wire will break.

Step-by-step explanation:

The titanium wire is experimenting an axial load. Ultimate strength equals [tex]2.20\times 10^{8}\,Pa[/tex]. The wire shall break if and only if stress is at least equal to ultimate strength. The equation for axial stress ([tex]\sigma[/tex]), measured in pascals, in the wire with circular cross-section is:

[tex]\sigma = \frac{4\cdot F}{\pi\cdot D^{2}}[/tex] (1)

Where:

[tex]F[/tex] - Axial force, measured in newtons.

[tex]D[/tex] - Cross-section diameter, measured in meters.

Please notice that axial force is the weight of the man hanging from wire.

If we know that [tex]F = 800\,N[/tex] and [tex]D = 0.002\,m[/tex], then the axial stress experimented by the titanium wire is:

[tex]\sigma = \frac{4\cdot (800\,N)}{\pi\cdot (0.002\,m)^{2}}[/tex]

[tex]\sigma \approx 2.546\times 10^{8}\,Pa[/tex]

Since stress is greater than ultimate strength, the wire will break.

Mr. Brown purchased tires for his car. The tires were $75 each, including tax, plus $10 for installation. Mr. Brown paid $160 for the tires and installation. Which equation can be used to find the number of tires, t, that Mr. Brown purchased?

A. t = 160 + 75(10)

B. 75 + t(10) = 160

C. 75t + 10 =160

D. 160t - 75 = 10

Could you show your work? Thanks!

Answers

Answer:

Step-by-step explanation:

The answer is C because t = 2 so 75x2=150 and 150 + 10= 160.

two step equation -9 + 2x = .-31 ​

Answers

Answer:

Step-by-step explanation:

Add 9 to both sides

2x = -22

Divide both sides by 2

x = -11

solve the following simultaneous equations using an algebraic method.

5x + 3y = 11
2x - 7y = 29


will be grateful!

Answers

y = -3
x = 4

5x + 3y = 11 [1]
2x - 7y = 29. [2]

[1]*2
10x +6y = 22 [3]

[2]*5
10x - 35y = 145. [4]

[4]-[3]
-41y = 123
y = -3
sub y into 5x +3y = 11

Can somebody help me? I need help...

Answers

Answer:

8/9

Step-by-step explanation:

your adding 1/18 each time

40 is 20 of what number

Answers

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

[tex]\large\text{40 is 20\% of what time number?}\\\\\\\bullet \large\bold{We\ are\ looking\ for\ your\ UNKNOWN\ number; we\ can\ the\ value}\\\large\bold{is\ \underline{a}\ for\ our\ answer!}\\\bullet\large\bold{REMEMBER: Percentages\ are\ out\ 100\ \& the\ word\ \underline{of}\ means\ \underline{multiply}}[/tex]

[tex]\huge\text{NOW LETS SOLVE FOR YOUR ANSWER!}[/tex]

[tex]\bold{Equation: 20\%\ \times \ a\ =\ 40}\\\\\bold{a = \dfrac{40}{20\%}}}\\\\\bold{20\% = \dfrac{20}{100}\rightarrow 0.2}}}\\\\\bold{Equation: a = \dfrac{40}{0.2}}\\\\\bold{\dfrac{40}{0.2}=200}\\\\\bold{a=200}\\\\\boxed{\boxed{\bold{Answer: 200}}}\huge\checkmark[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

I will give BRAINLIEST:)

Answers

Answer:

A'C'=AC=3

Step-by-step explanation:

Answer:

C: 3 units

Step-by-step explanation:

Just think about it... 180 degrees rotated is exactly opposite rotation degree.

If you rotate 90 degrees, the triangle will end up on quadrant 4.

Rotate 360 degrees, the triangle will stay in the same quadrant.

In conclusion, C is the best option

Other Questions
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