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√5

Step-by-step explanation:

1st method:

sin(30)=opposite/hypotenuse=√5/x

sin(30)x=√5

x=√5/sin(30)

x=2√5

2nd method:

cos(60)=adjacent/hypotenuse=√5/x

cos(60)x=√5

x=√5/cos(60)

x=2√5

3rd method:

This is a 30-60-90 triangle, so we can multiply the short side, √5, by 2, to get x=2√5


Related Questions

At the beginning of spring, Arianna planted a small sunflower in her backyard. When
it was first planted, the sunflower was 20 inches tall. The sunflower then began to
grow at a rate of 0.5 inches per week. How tall would the sunflower be after 3 weeks?
How tall would the sunflower be after w weeks?
Height after 3 weeks:
Height after w weeks:

Answers

Answer:

3 weeks: 21.5 inches

w weeks: 20+0.5w inches

Step-by-step explanation:

Equation: 20+0.5w.

20 was when it was first planted and 0.5 is the amount it grows per week.

Find the distance between points l and m then find the distance between points l and n which distance is greater howmuch

Answers

Answer:

Following are the responses to the given question.

Step-by-step explanation:

In this question, the points values are missing which is why its solution can be defined as follows:

Let

[tex]l= (7,-1) \\\\m=(-2, 4)\\\\n =(6,5)\\\\[/tex]

Formula:

[tex]d=\sqrt{((x_2-x_1)^2+(y_2-y_1)^2)}[/tex]

For d1:

[tex]x_1=7, y_1=-1, x_2=-2, y_2=4\\\\[/tex]

[tex]d=\sqrt{((-2-7)^2+(4+1)^2)}[/tex]

  [tex]=\sqrt{((-2-7)^2+(4+1)^2)}\\\\=\sqrt{((-9)^2+(5)^2)}\\\\=\sqrt{(81+25)}\\\\=\sqrt{(106)}\\\\=10.29[/tex]

For d2:

[tex]x_1=7, y_1=-1, x_2=6, y_2=5\\\\[/tex]

[tex]d=\sqrt{((6-7)^2+(5+1)^2)}[/tex]

  [tex]=\sqrt{((-1)^2+(6)^2)}\\\\=\sqrt{(1+36)}\\\\=\sqrt{(37)}\\\\=6.08[/tex]

The first distance value is greater than the second distance value.

3. given that m < APC is 104° in circle P, find the degree measure of Arc ABC​

Answers

Answer:

Answer is 256 degrees

Step-by-step explanation:

You basically take the degree that they gave you, which is 104, now take 360 (that's the measurement of the whole circle) and subtract it by 104 to get your answer.

A large bacterium measures 750 micrometers in diameter. One micrometer = 10 − 6 meters. How would you express the diameter of the bacterium in meters using scientific notation? A. 7 . 5 × 10 − 8 B. 750 × 10 − 6 C. 75 × 10 − 5 D. 7 . 5 × 10 − 4

Answers

Answer:

7.5 * 10^-4

Step-by-step explanation:

To express this, we will have to multiply 750 by the conversion unit

we have this as;

750 * 10^-6

750 = 7.5 * 10^2

so we have;

7.5 * 10^2 * 10^-6

= 7.5 * 10^(-6+2)

= 7.5 * 10^-4

The diameter of the bacterium in meters using scientific notation is 7.50 × 10^-4

Length of the bacterium = 750 micrometersOne micrometer = 10^-6

How to write scientific notation

Move the decimal point in between the first and second number

Count the number of digits after the decimal point

Diameter of the bacterium in scientific notation = 7.50 × 10²

Recall one micrometer = 10^-6

So

7.50 × 10² × 10^-6

= 7.50 × 10^(2-6)

= 7.50 × 10^-4

Learn more about scientific notation:

https://brainly.com/question/5756316

Pls help meee。I’m so confused TwT

Answers

It’s going to be three for the first one 3 is multiplied many times

Solve for N

4n=2n+6

Please help

Answers

Answer:

n = 3

Step-by-step explanation:

Given

4n = 2n + 6 ( subtract 2n from both sides )

2n = 6 ( divide both sides by 2 )

n = 3

The solution is, n = 3.

What is Subtraction?

Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers.

here, we have,

Given

4n = 2n + 6 ( subtract 2n from both sides )

2n = 6 ( divide both sides by 2 )

n = 3

To learn more on subtraction click:

brainly.com/question/2346316

#SPJ5

Jamal works at the recreation center 40 hours a week during the school year. He earns $8.75 an hour for 8 hours a day. Bi-weekly, he works 80 hours. Calculate his bi-weekly taxes below.

Answers

Answer:

40x8.75=$350, 80-40=40x8=$320 350+320=$670

Answer:

670

Step-by-step explanation:

The width of a rectang:a is half of its length. If the length is 8 cm, what is
the perimeter of the rectangle?

Answers

Answer:24cm

Step-by-step explanation:

if there is 2 sides  with the same like the length is 8 and 2 sides(8*2)=16

and the width is half (8/2) =4 double for 2 sides (4*2) = 8

8+16

will give brainliest ​

Answers

Answer:

£29.37

Step-by-step explanation:

Type in the question- like type it. Not a screenshot, type in part of the question into the Brainly search bar and you'll find it.

50 PTS!!!!Which statements must be true to model a data set using a normal distribution?

The population mean must be greater than the sample mean.
The sample size, n, must be at least 30.
The standard deviation of the population must be less than 30.
The sample must be randomly selected.
The sample mean must equal the population mean.
-There are multiple answers

Answers

Answer:

Normal distributions are symmetric around their mean. The mean, median, and mode of a normal distribution are equal. The area under the normal curve is equal to 1.0. Normal distributions are denser in the center and less dense in the tails.

Step-by-step explanation:

Extra Answered question:

How do you determine if a distribution is normal?

Answer: In order to be considered a normal distribution, a data set (when graphed) must follow a bell-shaped symmetrical curve centered around the mean. It must also adhere to the empirical rule that indicates the percentage of the data set that falls within (plus or minus) 1, 2 and 3 standard deviations of the mean.

I hope this is what your looking for :)

Answer:

I don't the right answers but I know these answers are incorrect:

The sample mean must  equal the population mean.

The standard deviation of the population must be less than 30.

Step-by-step explanation:

Pls help, this is due today

Answers

What’s the question?
If it’s area then the formula is pi r^2
If it’s the circumference then the 2pi r or pi d

(i’m using 3.14 as pi tell me if ur pi is different)

yellow: 28.26

blue: 18.84

green: 251.2

red: 15.7

purple: 21.98

formula: C = 2pi r | C = pi d

Due tonight.. *no links*

Answers

Both angle 2 and 4 have the exact same degree. They are both 34 degrees

what does tan -1 (0.88) equal

Answers

Answer:

-1.3705187977

Please answer correctly !!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

Answer:

If I remember correctly it should be 7 for the first one and 5 for the second

Answer:

7 & 5

Step-by-step explanation:

Hope it helps:)!!!!!

Which of the following expressions is not equal to X^3?
A. X^5 . X^-4 .X^2
B. X^-2 .X^9 .x^-4
C.x^0 . x^10 . x^-7
D. x. x^7 . x^-4

Answers

Answer:

D. x. x^7 . x^-4

Step-by-step explanation:

A. X^5 . X^-4 .X^2=X^(5-4+2)= X^3

B. X^-2 .X^9 .x^-4=X^(-2+9-4)= X^3

C.x^0 . x^10 . x^-7=X^(0+10-7)= X^3

D. x. x^7 . x^-4=X^(1+7-4)= X^4

hii please help asap ill give brainliest thanks

Answers

the teachings of buddha is the answer :-)

Answer:

C

Step-by-step explanation:

The teachings of Buddha

Could someone please help me out

Answers

Answer:

It's 108

You add the sides 48 and 24 and then subtract it from 180. That how you get your answer.

Which function has the same range as
f(x)= -2sqrt (x-3)+8

Answers

Answer:

Answer: : g(x)=-sqrt(x+3)+8

Step-by-step explanation:

The function has the same range is the third one:

g(x)=-sqrt(x+3)+8

The range of this function is:

x+3>=0

sqrt(x+3)>=sqrt(0)

sqrt(x+3)>=0

Multiplying the equation by -1:

-1[ sqrt(x+3)>=0]

- sqrt(x+3)<=0

Adding 8 both sides of the equation:

- sqrt(x+3)+8<=0+8

- sqrt(x+3)+8<=8

g(x)<=8

Then Range g(x)= (-Infinite, 8]

Answer: Third option: g(x)=-sqrt(x+3)+8

is 2.36 in a percent 236%? ill mark u brainiest:-)

Answers

Answer:

yes it is

Step-by-step explanation:

because something like .56 would be 56%

and 1.02 would be 102%

hope this helped :)

Answer:

You are correct already.

good job


Find the area of the shaded region to the nearest tenth.

Answers

Answer:

Shaded region is 18.3 units²

Step-by-step explanation:

First find the area of the white triangle.  The base and height of this triangle are both 8.  Thus, the area of the triangle is (1/2)(base)(height), or 32 units.

Next, find the area of the whole circle.  It is πr², which in this case comes

out to π(8 units)² = 64π units².  Realize that (1/4) of this, or 16π units², is the area of the quarter circle that contains the triangle.

To find the shaded area, take the area of the quarter circle (16 π units²) and subtract the area of the triangle (32 units²).

16π units² - 32 units² = 18.3 units²

Shaded region is 18.3 units²

8x - 22 = 230 -10x Find what x is​

Answers

18x=252
x=14 lollllll

Answer:

x = 14

Step-by-step explanation:

Here's your solution

=> 8x - 22 = 230 - 10x

=> 8x + 10x = 230 + 22

=> 18x = 252

=> x = 252/18

=> x = 14

hope it helps. 【●●】

Determine the intercepts of the line.

Answers

Answer:

-8,-6

Step-by-step explanation:

(-8,0) (0,-6)

im pretty sure this is right but im also terrible at math so i would wait until someone else answers

4. Ann bought four pens and three exercise books for a total of sh 17 while peter bought five
similar pens and two exercise books for a total of sh.16 find the cost of a pen and an exercise
book.​

Answers

4X+3Y=17
5X+2Y=16

Times 5=20X+15Y=85
Times 4=20X+8Y=64

7Y=21
Y=3,X=2

Answer:

pen = 2    book = 3

Step-by-step explanation:

p= pens

b=books

4p +3b =17

5p+2b=16

Multiply the first by 5

Multiply the second by -4

Add both (p variable will ce cancelled)

20p +15b = 85

-20p  -8b = -64

           7b = 21

              b=3        (book =3)

Lets plug this in one of the equations

4p + 3x3 = 17

4p +9 0 19

4p = 8

p= 2   (pencil = 2)

PLEASE HELP!!!
!!!!!

Answers

Answer:

y=63, x=20, x=47, b=70, c=89, x=133

Step-by-step explanation:

1) y=63- alternate angles are the same

2) 4x+5x=180

9x=180

x=20

3) x=47

4) b=70- angles on a line equal to 180

c=89- angles in a triangle add up to 180

5) x=133- angles that are alternate are the same

2. A toy factory produces 280 fidget spinners per day, and
each spinner is tested before it is packaged and shipped. After
testing the first 40 spinners, Carlos finds 3 of them to be
defective. Based on these
results, which of the following is
likely the total number of defective spinners on that day?
F. 7
G. 21
H. 120
J. 240

Answers

Ffffffd hehehebe beene
Answer is 21. Workup in photo below. Good luck.

PLSSSS Plsssss help quick

Answers

Answer:

(x, y) (1,5.5) , (2,5.75) (3,5.83) (4,5.875) (5,5.9)

Step-by-step explanation:

The x values lie on the horizontal line and the y values lie on the vertical line.

In order to find the value of y you must substitute the value of x in the equation given and you must plot you graph using the answers you got which I wrote for you.

NOTE:if there's anything you don't understand let me know.

x = 8 is the solution for which equation?

A. -4 + 8p = 68

B. 4 + 8p = 68

C. 4 + -8p = 68

D. 4 + 8p = -68

Answers

B will be you answer
4+8(8)=68

Answer:

a. -4 + 8p = 68

         8p = 68 + 4 = 72

           p = 72/8 = 9

a. is not the answer as the solution is not 8

b. 4 + 8p = 68

        8p = 68 - 4 = 64

         p = 64/8 = 8

b. is the answer as the solution is 8

c. 4 + -8p = 68

         -8p = 68 - 4 = 64

            p = 64/-8 = -8

c. is not the answer as the solution is not 8

d. 4 + 8p = -68

        8p = -68 -4 = -72

          p = -72/8 = -9

d. is not the answer as the solution is not 8

b. is the answer

hope this answer helps you..

please mark as brainliest.. thank you!

Given the side lengths, determine whether the triangle is acute, obtuse, right, or not a triangle: 8,15,23

Answers

Answer:

hablas español? O no??, no se tu pregunta pique no se ingles perdón

Answer:

Obtuse angled triangle

Step-by-step explanation:

If a, b and c are the sides of a triangle with c the largest side

• If a² + b² = c² ⇒ right triangle

• If a² + b² > c² ⇒ acute angled

• If a² + b² < c² ⇒ obtuse angled

Here a = 8, b = 15, c = 23

a² + b² = 8² + 15² = 64 + 225 = 289

c² = 23² = 529

Since a² + b² < c² then obtuse angled triangle

Lupe can ride her bike at a rate of 20 mph when there is no wind. On one particular day, she rode 2 miles against the wind and noticed that it took her the same amount of time as it did to ride 3 miles with the wind. How fast was the wind blowing that day?
4 mph
7 mph
10 mph
12 mph

Answers

Answer:it’s 4 mph

Step-by-step explanation:

Answer: 4mph

Step-by-step explanation:

Edge 2021

in the figure below, <1 measures (3x+20) and <2 measures x. what is the measure of <4?

Answers

Answer:

D. 140

Step-by-step explanation:

∠ 1 + ∠ 2 = 180

So:

(3x + 20) + x = 180

4x + 20 = 180

4x = 180 - 20

4x = 160

x = 160 / 4

x = 40

∠ 1 = ∠ 4

∠ 2 = ∠ 3

If ∠ 1 is equal to ∠ 4, just plug in for x and solve.

3x + 20 = 3(40) + 20 = 120 + 20 = 140

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