find the length of side x in simplest radical form with a rational denominator 60 30 x 2

Find The Length Of Side X In Simplest Radical Form With A Rational Denominator 60 30 X 2

Answers

Answer 1

Answer:

x = √3

Step-by-step explanation:

Looking at the given triangle,

x is the adjacent side while 2 represents the hypotenuse side.

Now, from trigonometric ratios, we know that;

Adjacent/hypotenuse = cos θ

The angle here will be 30°

Thus;

x/2 = cos 30°

We are told to find x in simplest radical form with a rational denominator.

Thus means we will use the surf value of the angle.

cos 30° in surd form = (√3)/2

Thus;

x/2 = (√3)/2

x = 2 × (√3)/2

x = (√3)/1

x = √3


Related Questions

SOLVE
[tex](2 x - 4) {?}^{2} [/tex]

Answers

Answer:

4x² - 16.

Step-by-step explanation:

(2x-4)² =?

(2x-4)² = (2x)² - (4)²

= 4x² - 16.

Answer:

x = 2

Step-by-step explanation:

To solve , equate to zero, that is

(2x - 4)² = 0, so

2x - 4 = 0 ( add 4 to both sides )

2x = 4 ( divide both sides by 2 )

x = 2

pls help me I will mark

Answers

Answer:

6

Step-by-step explanation:

Slope is going up 6 and 1 across.

Answer:

6

Step-by-step explanation:

Calculate the rate of interest if principle is 6000 time is two years and interest 3000

Answers

Answer:

We conclude that the interest rate required to  accumulate simple interest of $3,000 from a principal of $ 6,000.00  over 2 years is 25% per year.

Step-by-step explanation:

Given

Principle P = 6000

Time period t = 2 years

Interest I = 3000

To determine

Interest rate r = ?

Using the formula

I = Prt

r = I / Pt

substituting P = 6000 , t = 2, and  I = 3000

r = 3000 / ( 6000 × 2 )

r =  3000 / 12000

r = 0.25

convering the decimal into percentage: 0.25×100 = 25%

r = 25%

Therefore, we conclude that the interest rate required to  accumulate simple interest of $3,000 from a principal of $ 6,000.00  over 2 years is 25% per year.

Larry could ______ to make his budget work and afford the ticket.

Answers

Answer:

I need the answer choices

Step-by-step explanation:

The ratio of the length of a room to its width is 5 to 3. What is the width of a room if its length is 30 feet? Media558a6e2383191.Gif

Answers

Answer:

18ft

Step-by-step explanation:

Given data

Ratio of length to width = 5:3

Length = 30ft

Apply the part to part method

let the width be x

5/3= 30/x

cross multiply

5x= 30*3

5x= 90

x= 90/5

x=18 ft

Hence the width is 18ft

please find h and a​

Answers

Answer:

h=12 + c=20

Step-by-step explanation:

a^2+b^2=c^2

9^2+h^2=15^2

15^2-9^2=h^2

225-81=h^2

144=h^2

[tex]\sqrt{144}[/tex] = h

12=h

a^2+b^2=c^2

16^2 + 12^2 = c^2

256+144=c^2

400=c^2

[tex]\sqrt{400}[/tex] = c

20=c

if 10^3x=1/0.001,find the value of x​

Answers

Answer:

x = 1

Step-by-step explanation:

Firstly, look at the left hand of the equation

1/0.001 = 1000 = 10^3

then

10^3x = 1000= 10^3

then

10^3x = 10^3

then

x= 1

5.2x+8+2.1x-3 which is an equivalent expression by combining like terms A. 5.2x+8+2.1x-3 B. 5.2x+5+2.1x C 13.2x-0.9x D 7.3x+5

Answers

Answer: 7.3x + 5

Step-by-step explanation:

For us to solve the question, we have to solve 5.2x+8+2.1x-3 and the answer gotten will allow us know the equivalent expression.

= 5.2x+8+2.1x-3

= 5.2x + 2.1x + 8 - 3

= 7.3x + 5

Therefore, the correct answer is 7.3x + 5

A car can drive 560 miles on 10 gallons of gas. How many gallons of gas does the car need to drive 1,260 miles?

Answers

Answer: You could drive 1120 miles with 40 gallons of gas. The car's gas mileage is 28 miles on a gallon of gas.

Jordan signed a rental agreement for her new condo. Based on the contract, who is responsible for paying the gas, electric, and water bills? A. The owner B. The utility company C. Jordan D. Both the owner and Jordan​

Answers

Answer:

Jordan

Step-by-step explanation:

BRAINLIEST FOR ANSWER PLEASE HURRY

Answers

Answer:

11.3

Step-by-step explanation:

Pythagorean theorem is a^2+b^2=c^2

8^2+8^2=128

the square root of 128 is 11.3137085

then you round to the nearest tenth and get 11.3

6.37x10^-2

Thanks to anyone who answers this.

Answers

Answer:

6.37 x 10^-2 =0.0637

The answer to your equation is, 6.37x10^-2=0.0637

Solve for x. Round to the nearest tenth.

Answers

Answer:

Step-by-step explanation:

Youre given the adjacent and hypotenuse, so you can use cosine. SOHCAHTOA

cos(37) = 48/x

x = 60.1

Which function matches the graph?
-2
a. f(x) = -2(x - 3)2 + 1
b. f(x) - 2(x+3)2 - 1
c. f(x) = (x+3)²+2
d.
A(x) = 1/(x - 3)² - 1

Answers

Answer:

Its a or c sorry if im wrong

(hope this helps :D hehe)

Step-by-step explanation:

Answer:

Please insert a graph.

Step-by-step explanation:

If you submit a picture of the graph on here, I will see how how I can help.

Translate this into a inequality, "The sum of twice a number and 15 is greater than 3.​

Answers

Answer:

Step-by-step explanation:

2n+15>3

Answer:

2x + 15 > 3

IS THIS RHIGT?

eXPLANATION :

Twice a num = 2(x)

sum of it and 15 = 2x + 15

is greater than 3 = >3

so : 2x + 15 > 3  

The measure of the second angle is 15 degrees more then the measure of the 1st angle. The measure of the 3rd angle is 45 degrees more than the measure of the 1st angle. Find the measures of the interior angles in the triangle.

Answers

Let the first angle be x

So, second angle = (x+15)°

and third angle= (x+ 45)°

Now,

x+ (x+15) + (x+45)= 180°. ( Triangle sum property)

x+x+x+15°+45° = 180°

3x+ 60° = 180°

3x= 180°-60°

3x= 120°

x= 120°/3

x= 40°

Now,

first angle=x= 40°

second angle = (x+15)°= 40°+15° = 55°

third angle= (x+45)° = 40°+45° = 85°

Hope it helps you. Please mark as brainliest if it does.

* HELP* A book sold 39,900 copies in its first month of release. Suppose this represents 8.2% of the number of copies sold to date. How many copies have been sold to date? Round your answer to the nearest whole number

Answers

Answer:

Total copies sold= 486,585

Step-by-step explanation:

Giving the following information:

Number of copies sold in the first month= 39,900

% of copies sold in the first month= 8.2%

To calculate the total number of copies sold, we need to use the following formula:

Total copies sold= Number of copies sold in the first month/% of copies sold in the first month

Total copies sold= 39,900 / 0.082

Total copies sold= 486,585

Find the mean of the first 7 odd prime number?​

Answers

Answer: 75/7 or 10.71 (rounded)

Step-by-step explanation:

Mean = Average

To find the average you should add all the numbers together and then divide it by the amount of numbers.

In this question, the formula is [tex]\frac{n_1+n_2+n_3+n_4+n_5+n_6+n_7}{7}[/tex]

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

The list of the first 7 odd prime numbers:

3, 5, 7, 11, 13, 17, 19

Now, add them together

3+5+7+11+13+17+19=75

Divide the sum by 7

75÷7=75/7=10.71 (rounded)

Hope this helps!! :)

Please let me know if you have any questions

How do you solve 5(3x+10) using the rainbow method?

Answers


Multiply using the distributive property.
15x + 50

A storekeeper increased the price of hats by 5%.

Write an equation to calculate the increase of the total

cost, c, when the price of a hat is p dollars.

Select all that apply.

A c 1.50p

BC-,95p

cc 1.05p

Dc-1 + 05p

Ec-(1 + .05)p

Answers

Answer: c = 1.05p

Step-by-step explanation:

Price of the hat = p

Percentage increase in the price of the hat = 5%

The equation to calculate the increase of the total cost, c, of the hat will be:

c = p + (5% × p)

= p + (5/100 × p)

= p + (0.05 × p)

= p + 0.05p

c = 1.05p

Please solve as soon as possible

Answers

Answer:

.75

Step-by-step explanation:

Because three divided by four is .75

Answer:

Question 22: 0.75 or 75%

Question 23:   5:2

Step-by-step explanation:

Question 22: 3 divided by 4 equals 0.75

Question 23:  

2.5  = 2.5/1

2.5 × 10/10 equals 25/10

25/10 divided by 5 equals 5/2

5/2= 5:2

simpliyfy (-3/7)^3 * (-3/7)^4​

Answers

Answer:

Step-by-step explanation:

(-3/7)³ × (-3/7)⁴ = (-3/7)³⁺⁴ = (-3/7)⁷

Answer:

the answer to this question is (-3/7)^7


Write an expression equivalent to 46x + 12), and state the property you used to write it.

Answers

Answer:

2(23x+6) is correct answer

What is 4n-32? Factor your expression using the greatest common factor.

Answers

Answer:

4(n-8)

Step-by-step explanation:

take out 4 from 4n-32

so it's 4(n-8) coz 32÷4=8 so yeah

Calculating Algebraic expressions and stuff. (See Attachment) Plz explain if you can.

Answers

Answer:

no it is not correct

Step-by-step explanation:

it's kind of hard to explain in words so I'm sorry about that

hope it helps

John makes $400 per week. What does it mean for him to get a l50% salary raise. Explain in words and then give and example showing a calculation

Answers

Answer:

can some one give the answer

Step-by-step explanation:

pls

The image shown is an object formed from a cylinder and spherical hemisphere. The radius of the base is 7 cm and the height of the cylinder is 10 cm

(π = 22/7). The volume of the object is ....
A. 2258,67 cm3
B. 2618,33 cm3
C. 2926,67 cm3
D. 2977,33 cm3

Answers

Answer:

Volume = 2,258.67 cm³

Step-by-step explanation:

Volume of the object = volume of hemisphere + volume of cylinder

= ⅔πr³ +πr²h

Where,

π = 22/7

r = 7 cm

h = 10 cm

Volume = (⅔*22/7*7³) + (22/7*7²*10)

Volume = 2,258.67 cm³

Yolanda makes $11.25 per hour at her part-time job. During one week, she worked 12 2/5 hours and also earned some tips. Her final pay for the week was $159.50. How much money did Yolanda earn in tips?

Answers

Answer:

She earned $20 in tips.

Step-by-step explanation:

First, you need to work out how much pay she'd get for 12 hours work:

12 x $11.25 = $135 for 12 hours work

Then, find out 2/5 of $11.25 to find out how much she would get for the 2/5 of an hour she worked:

2/5 of $11.25 = $4.50

Add both these sums together to get her total pay for hours worked:

$135 + $4.50 = $139.50

Subtract that sum from her total pay to find out how much money she earned in tips:

$159.50 - $139.50 = $20

New York and Chicago are 4 inches apart on a map if the scale on a map is 1/2 inch equal 100 miles how many miles is it from New York to Chicago

Answers

800 miles
1 inch equal 200 miles

i need help with 9th grade work

Answers

Answer: h(-1) is -3.

Step-by-step explanation: Given that the input of the function is -1, we can subsitute that for x.

2(-1) - 1

= -2 - 1

= -3.

Answer:

h (-1)  

  -3

Step-by-step explanation:

h (-1) = 2 (-1) - 1

simplify 2.. (-1) - 1

answer= -3

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