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:

[tex] x = 2 \sqrt{5} [/tex]

Step-by-step explanation:

[tex] \sin \: 30 \degree = \frac{ \sqrt{5} }{x} \\ \\ \frac{1}{2} = \frac{ \sqrt{5} }{x} \\ \\x = 2 \sqrt{5} [/tex]


Related Questions

Determine whether it is possible to draw a triangle with sides of the given lengths. Write yes or no.

12, 14, 27

Answers

Answer:

No

Step-by-step explanation:

To have a triangle you have to add up the two shorter sides and it should be greater than or equal to the longest side.

12 + 14 = 26

26 is less than 27

- Ms. Ali needs to have her car repaired but does not want to spend more than $225
for the repairs. The mechanic says that the part needed for the repair will cost $78,
and that labor will cost an additional $35 per hour. Which inequality below
represents the greatest number of hours the mechanic can work without exceeding
Ms. Ali's budget? Use the steps below to solve. Then, HIGHLIGHT YOUR ANSWER.
a. 225 - 35x < 78
b. 35x + 78 > 225
c. 35 + 78x ≤ 225
d. 35x + 78 ≤ 225

Answers

Answer:

D

Step-by-step explanation:

Answer: D

Step-by-step explanation:

It has to be less than or equal to 225, and you know you only need one part, so it has to be 35x +78 _< 225

I need help plz

Please help me

Answers

Answer:

-4<-1, and also -1<4

Step-by-step explanation:

the first box and the last box

Can someone solve this

Answers

Answer:

-1/2

Step-by-step explanation:

Solve the system of equations - 8x + 3y = -17 and 3x - y = 7 by combining the
equlations.

Answers

Given :

Two equations :

-8x + 3y = -17  ....1)

3x - y = 7        ....2)

To Find :

The solution of the system.

Solution :

Multiplying equation 2) by 3 and adding with equation 1), we get :

(-8x + 3y) + 3(3x - y) = -17 + 21

x = 4

Putting above value of x equation 2) we get :

12 - y = 7

y = 5

Therefore, solution of system is ( 4,5 ).

Can someone please tell me the answer

Answers

Answer: whole numbers

HELP ITS DUE REALLY SOON!!!​

Answers

Step-by-step explanation:

(8.4 * x * 10¹⁰) / (3 * x * 10⁷)

= (8.4/3) * (x/x) * (10¹⁰/10⁷)

= 2.8 * 1 * 10³

= 2.8 * 10³.

Answer:

[tex] \frac{8.4 \times {10}^{10} }{3 \times {10}^{7} } \\ = \frac{8.4}{3} \times \frac{ {10}^{10} }{ {10}^{7} } \\ = 2.8 \times {10}^{3} \\ = \boxed{2800}[/tex]

2800 is the right answer.

When plotting points on the coordinate plane below, which point would lie on the y-axis??

Answers

Answer:

the second number

Step-by-step explanation:

EX:  ( -3, 2 ) the 2 would lie on the y axis because its the second number the x axis always comes 1st and the y axis 2nd

A walking track is 2 1/2 miles long. How many feet is that?

Answers

Answer:

13,200 feet

Step-by-step explanation:

Answer:

13,200 feet

Step-by-step explanation:

In one mile, there are 5,280 feet.

You're trying to find how many feet are in 2.5 miles, so you can set up a proportion.

X = the number of feet in 2.5 miles.

[tex]\frac{1 mile }{5280 feet} = \frac{2.5 miles}{X feet}[/tex]

To find X, all you need to do is cross multiply.

So,

X = 5280 × 2.5 = 13,200 feet

solve 1/3 + 7/9

options:
10/27
8/9
10/9
9/3

Answers

Answer:

10/9

Step-by-step explanation:

1/3 + 7/9 = 3/9 + 7/9 = 10/9

Answer:

10/9

Step-by-step explanation:

make the bottom number the same

[tex] \frac{3}{9 } + \frac{7}{9} [/tex]

add them

[tex] \frac{10}{9} [/tex]

I need help plzzzzzzz​

Answers

Answer:

26

Step-by-step explanation:

The answer is 26 the other person is correct too

Last week, an online site received $355.60 for selling 20 cell phone accessories Cell phone cases sell for $10.98 and Airpods sell for $27.98.
1. Define the variables.
2. Then, write the system of equations to model this situation.​

Answers

Answer:

i. Cell phone cases

  Airpods

ii. x + y = 20 .............. 1

10.98x + 27.98y = 355.60 .............. 2

iii. x = 12, and y = 8

Step-by-step explanation:

Amount of sale = $355.60

Cost of Cell phone cases = $10.98

Cost of Airpods = $27.98

Number of phone accessories sold = 20

1. The variables to be considered in the question are:

i. Cell phone cases

ii. Airpods

2. Let the number of cell phone cases bought be represented by x, and that of airpods be represented by y.

Thus,

x + y = 20 .............. 1

10.98x + 27.98y = 355.60 .............. 2

From equation 1,

x = 20 -y

substitute the value of x in equation 2

10.98(20 - y) + 27.98y = 355.60

219.6 -10.98y + 27.98y = 355.60

17y = 136.60

y = [tex]\frac{136.60}{17}[/tex]

y = 8.0353

So that,

x = 20 -y

  = 20 - 8.0353

x = 11.9647

Thus,

x = 12, and y = 8

What is the measure of angle b?


A.
36°

B.
56°

C.
63°

D.
117°

Answers

Answer:

A. 36*

Step-by-step explanation:

first find angle a:

180-117=63

a=63

then find angle b by subtracting 81 and 63 from 180

180-81=99

99-63=36

angle b = 36

The following three shapes are based only on squares, semicircles, and quarter circles. find the perimeter and the area of each shaded part. give your answer as a completely simplified exact value in terms of π (no approximations).

I need this answer really fast. As soon as possible.

Answers

Step-by-step explanation:

Area of Shaded part

= 2 * Area of Quarter-circle - Area of Square

= 0.5π(8)² - 8²

= 32(π - 2)cm².

Perimeter of Shaded part

= 0.5 * 2π(8)

= 8πcm.

The perimeter of the shaded part is 8πcm and the area of the shaded part is 8πcm and 0.5π(8)² - 8² respectively

Perimeter and area of a circle

Radius, r = 8 cm

Perimeter of a circle = 2πr

Perimeter of s quarter circle = 2πr/4

= 1/2πr

Perimeter of Shaded part = 1/2 * 2πr

= 1/2 × 2 × π × 8

= 8πcm.

Area of a circle = 2πr²

Area of quarter circle = 2πr²/4

= 1/2πr²

Area of a square = length ²

Area of Shaded part

= Area of Quarter-circle - Area of Square

= 0.5π(8)² - 8²

Learn more about area of quarter circle:

https://brainly.com/question/21938535

Use division to rename each fraction given below.

12/16 =

Answers

Answer:

                             

Step-by-step explanation:                                    

Answer:

12/16 the fraction is equal to 3/4

Step-by-step explanation:

12/16 divided by 4/4 = 3/4

A jar contains 4 quarters and 6 nickels. Two coins are drawn, and the first coin is not replaced before drawing the second. What is the probability that both coins are nickels?

Answers

Answer:

now

Step-by-step explanation:

do you know what is the answer?I thought it was 9/25

PLEASEEEEEEE HELP ME!!!

Find the volume of each figure. Round your answers to the nearest hundredth, if necessary. Leave your answers in terms of pi for
answers that contain pi.

Answers

Answer:

125π km³

Step-by-step explanation:

We are to find the Volume of a cylinder

From the question:

Height of the cylinder = 5km

Radius of the cylinder = 5 km

The volume of a cylinder =

πr² h

Hence:

π × 5² × 5

= 125π km³

The volume of the cylinder = 125π km³

Option d is the correct option

Find X.
Round to the nearest tenth.
Z
90 ft
55 ft
Х
50 ft
Y
X= [?]°
Law of Cosines: c2 = a2 + b2 - 2ab cos C

Answers

Answer:

x = 118 degrees approximately

Step-by-step explanation:

Here, we want to get the measure of the angle marked x

We shall use the side facing it and apply the cosine rule

The side facing the angle measures 90

Thus, we have it that;

90^2 = 55^2 + 50^2 - 2(50)(55) cos X

2575 = - -5,500 cos X

X = cos^-1(-2575/5,500)

X = 118 degrees approximately

Answer:

Step-by-step explanation:

y=32.7

PLS HELP ASAP
Find the area of this semi-circle with diameter,d = 24cm.

Give your answer as an expression in terms of π

Answers

Answer:

hope it helps

.........

y is inversely proportional to 7I+x.
When x = 8, y = 2.
Find y when x= 15.​

Answers

I am taking 7I+x to  mean 71+ x.

Answer:  y=1.837

Step-by-step explanation:

Step 1

Let y is inversely proportional to 7I+x be  mathematically be written as

y ∝ 1/7I+x

Introducing our proportionality of constant , K we have that

y ∝ 1/7I+x

y =K 1/7I+x

y= K/ 7I+xh

Step 2

so when x= 8, and y =2,  k becomes

y= K/ 7I+x

k=  y x (7I+x)

=2 x (71 + 8)

2x 79

=158

 when x= 15, y =?

y= K/ 7I+x

y= 158/  71 + 15

y=158/86

y=1.837

Particle x moves along the positive x-axis so that it's position at time t is less than equal to 0 is given by x(t)= 5t^3 - 9t^2 + 7. Is particle x moving toward the right at time t=1?

Answers

So, at [tex]t=\frac{6}{5}[/tex], the velocity changes towards the right.

Velocity:Velocity is the prime indicator of the position as well as the rapidity of the object. It can be defined as the distance covered by an object in a unit of time. Velocity can be defined as the displacement of an object in a unit of time.

Given that,

[tex]x(t)=5t^{3} -9t^{2} +7[/tex]

[tex]{x}'\left ( t \right )=15t^{2}-18t \\ {x}'\left ( 1 \right )=15t-18 \\ =-3 < 0[/tex]

Therefore, the particle is moving towards the left.

[tex]{x}'\left ( t \right )=0 \\ t=0 \\ t=\frac{18}{15}=\frac{6}{5}[/tex]

Learn more about the topic of Velocity: https://brainly.com/question/26417650

Kevin's Netflix plan costs $14 per month. Create a table that shows the sum of the amounts
that Kevin will pay for his Netflix plan over the next 3 months?
>

Answers

Answer:

The sum of the amounts Kelvin will pay over the next three months is $42

Step-by-step explanation:

[tex]\begin{table}[]\begin{tabular}{lllll}Month & Amount & & & \\1 & \$14 & & & \\2 & \$14 & & & \\3 & \$14 & & & \\Sum & \$42 & & & \end{tabular}\end{table}[/tex]The given parameters are;

The monthly cost of Kelvin's Netflix plan = $14

The number of months over which the sum of the amount paid is calculated = 3 Months

The table that represents the parameters above is as follows;

[tex]\left\begin{array}{ccc}Month \ Number && Amount \ Payed \\\\1&& \$14.00\\2&&\$14.00\\3&&\$14.00\\\\ Sum \ of \ Amount&&\$42.00\end{array}\right[/tex]

The sum of the amounts Kelvin will pay over the next three months is $14 + $14 + $14 = $42.

If there are 22 successes in a sample with a size of 40, what is the sample
proportion?

A. 0.55
B. 0.65
C. 0.44
D. 0.22

Answers

Answer:

A

Step-by-step explanation:

22 successes out of a group of 40 means 22/40 were good. Now, simplify 22/40. Both can be divided by 2.

22/2 = 11

40/2 = 20

Now you have 11/20. Put this in decimal form and you have 0.55

Option A answer is 0.55

What is the proportion of a sample?

The proportion of a sample is the ratio of the number of successes or defeats to the total size of the sample, it is used for understanding which trend is more followed and also has many uses in the real world.

The solution to the given problem

The size of the sample is 40.

There are 22 successes in the sample.

To find the proportion of success we have to find the ratio of 22 and 40 which is 11:20, and in numerical terms 0.55

Hence option A is correct, the proportion is 0.55

Learn more about proportion here

https://brainly.com/question/870035

#SPJ2

Which expression is equivalent to the given expression?
​4(a−3)

A.-8a
B.4a-12
C.4a-3
D.-4(a+3)

Answers

The answer is 4a - 12

Answer:

B. 4a-12

Step-by-step explanation:

First, we can simplify the equation. We use distributive property to remove the 4 and parenthesis.

4a - 12

This is the furthest we can go, meaning the answer is B.

in a right triangle the length of the hypotenuse is c and length of one leg is a find the other leg is c=6 and a=5 I wil, give brainlyst

Answers

Using the Pythagorean theorem:

6^2 = 5^2 + x^2

Simplify:

36 = 25 +x^2

Subtract 25 from both sides:

11 = x^2

Square root of both sides:

x = sqrt(11) (exact) or 3.316625 as a decimal

Which lists the students in order from the greatest amount of work done to the least?

Answers

Answer:

is there an attachment?

Step-by-step explanation:

Answer:

You have to show the picture for the answer.

Step-by-step explanation:

**EXTRA POINTS**

The point H(-1,-6) is translated 2 units up. Find the coordinates of the resulting point H’?

Answers

The resulting coordinates would be (-1 , -4).

Answer:

she's correct

Step-by-step explanation:

my answer is also that only

El primer día de mayo, el señor Torres tenía en su cuenta de ahorros S/. 1 500. Ese mismo día ingresó S/. 550. A la semana siguiente sacó S/. 1 200 y a la siguiente volvió a sacar S/. 350. El día 31 ingresó S/. 1 600 que le pagó un amigo. ¿Cuánto le queda en su cuenta de ahorros al finalizar el mes?

(Muestra tu proceso)

Answers

make this in english

8
If f(x) = x2, what is g(x)?
7
6
5
g(x
4
3
2
-5
- 5
4
-3
-2
6

Answers

Answer:

The new function is g(x) = x² +1

Step-by-step explanation:

Explanation:-

Given that the function f(x) = x²

From graph ,

The parabola  y = x² is shifting to up with '1' units

                    y = x² +1

The new function is g(x) = x² +1

Verification:-

    y = x²+1

Put x=0 ⇒ y =1

The point (0,1) lies on the parabola y = x²+1

similarly put x =1 and y = 2

The Point (1,2) lies on the Parabola y = x²+1

∴ The new graph  y = x²+1

33 chairs at 3 tables
=
chairs per table

Answers

Answer:

11 chairs per table

Step-by-step explanation:

33 divided by 3 is 11

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