Find the value for the given variables. Give the variables in simplest radical form. (square root form)

Find The Value For The Given Variables. Give The Variables In Simplest Radical Form. (square Root Form)

Answers

Answer 1

Answer:

Step-by-step explanation:

for y

take 60 degree as reference angle

using sin rule

sin 60=opposite /hypotenuse

[tex]\sqrt{3}[/tex]/2=11

22[tex]\sqrt{3}[/tex]/

22=y

for x

take 60 degree as reference angle

using cos rule

cos 60=adjacent/hypotenuse

1/2=x/11[tex]\sqrt{3}[/tex]

2x=11[tex]\sqrt{3}[/tex]

x=11[tex]\sqrt{3}[/tex]/2

x=9.52

x=10


Related Questions

how to get a square root of a given number​

Answers

Answer:

See below

Step-by-step explanation:

The square root of a number is defined as [tex]\pm y=\sqrt[2]{x}[/tex] where [tex](\pm y)^{2}[/tex] gives the original number. For example, [tex]\sqrt{4}=\pm2[/tex] because [tex]2^{2}=2*2=4[/tex] and [tex](-2)^{2}=-2*-2=4[/tex].

Example of Calculating Square Roots with Multiplication :

The square root of 9 is 3. The number 9 is an integer. This number comes from multiplying 3×3 which results in the number 9The square root of 25 is 5. The number 25 is an integer. This number comes from multiplying 5×5 which results in the number 25The square root of 81 is 9. The number 81 is an integer. This number comes from multiplying 9×9 which results in the number 81The square root of 100 is 10. The number 100 is an integer. This number comes from multiplying 10×10 which results in the number 100

Example of Calculating Square Roots by Division

The square root of 4 is 2. The number that divides 4 is the number 2, like 4: 2 makes the number 2. It cannot be divided anymore and can be multiplied by itself.The square root of 9 is 3. The number that divides 9 is the number 3, such as 9: 3 to produce the number 3. It cannot be divided anymore and can be multiplied by itself.The square root of 25 is 5. A number that divides 25 is 5, as 25:5 makes 5. It is indivisible and can be multiplied by itself.

Will give brainliest to correct answer

Answers

Answer:

Step-by-step explanation:

here you go.

Susie typically runs 5 miles in 1 hour. how far would she run in 30 minutes?

Answers

Answer:

2.5 miles

Step-by-step explanation:

you would divide 5 by 2 because it's splitting the time

and that would get you 2.5

hope that helped :)

set costs $30 before a 30% discount

Answers

Answer:

$39

Step-by-step explanation:

Answer:

Set costs $21 after discount

Step-by-step explanation:

$30 = 100%

$x = 100% - 30% = 70%

70% = 0.7

30(0.7) = 21

$21

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Can someone help me with this

Answers

Answer:

30  I N

Step-by-step explanation:

Mrs. Jones bought 120 eggs. She used 2/3of them for baking cakes. She used 1/4 of the remainder for baking cookies. How many eggs did she have left

Answers

Answer: 30 eggs

Step-by-step explanation:

Given

Mrs. Jones bought 120 eggs

She used two-third for baking cakes i.e.

[tex]\Rightarrow 120\times \dfrac{2}{3}=80\ \text{eggs}[/tex]

Remaining eggs are [tex]120-80=40\ \text{eggs}[/tex]

She used on-fourth of the remaining for baking cookies i.e.

[tex]\Rightarrow 40\times \dfrac{1}{4}=10\ \text{eggs}[/tex]

Eggs left after baking cookies

[tex]\Rightarrow 40-10=30\ \text{eggs}[/tex]

She is left with 30 eggs

Write an equation for the line that has a slope of 1/2 and passes though the point (-2, 5)

Answers

Answer:

y = 1/2x + 6

Step-by-step explanation:

y = 1/2x + b

5 = 1/2(-2) + b

5 = -1 + b

6 = b

28.
Write the equation of a line PERPENDICULAR to y = -2x + 1
that passes through the point (2, 3).
a)
1
1
1
y =
-
21 + 2
b)
y= 22 +2
d) y = –2x+8
c) y= -2x + 7

Answers

Answer:

y = 1/2x + 2

Step-by-step explanation:

y = 1/2x + b

3 = 1/2(2) + b

3 = 1 + b

2 = b

y = 1/2x + 2

Emilia went out to eat dinner, and the meal cost $20.00. If Emilia received a 30% discount, what was the total
value of the discount?

Answers

Answer:

The answer would be $12. You would need to change the 30% to 0.3 then multiply by $20. Then take the -$6 and subtract it by $20.

HELP PLSSSSSSSAS THANKS NO LINK

Answers

Answer:55mm

Explain:I know

3. Which number is the largest?
(A) 0,56
(B) a half C) 0.0599 (D) 0,09 (E) a half

Answers

Answer:

A) 0,56

Step-by-step explanation:

a half=0,5

0,56>0,5>0,09>0,0599

A 0,56 is the correct answer let me know if this helps.

hey! i’ll give brainliest please help

Answers

Answer:

Polar bears with white coats are better camouflaged (๑・ω-)~♥”

Answer:

D

Step-by-step explanation:

8pq + - 17pq please help me​

Answers

Answer:

- 9pq

Step-by-step explanation:

8pq + (- 17pq)

8pq - 17pq

- 9pq

The Walt Disney Company paid a $0.35 annual dividend on a day it closed at a price of
$33.86 per share.
a. What was the annual dividend for 500 shares?
b. What was the quarterly dividend for 500 shares?
c. What was the yield to the nearest tenth of a percent?

Answers

Answer:\

hey check out the attachment i found them online hope it help and thank you!

I looked for them like for 20 min I finnaly found them

Have a nice day/night! LOL

Step-by-step explanation:

i don’t understand??

Answers

Answer:

understand it lol

Step-by-step explanation:

Denise collects stuffed animals. The number of stuffed animals in her collection, a, after n, number of years, can be described by the equation a(n) = 3 + 4n. Which statement best describes the rate of change?

A. The number of stuffed animals in Denise’s collection is multiplied by 4 each year.
B. Denise’s collection increases by 4 stuffed animals per year.
C. Denise’s collection increases by 3 stuffed animals per year.
D. Denise spends $4 per year on stuffed animals.

Answers

The statement best describes the rate of change is "Denise's collection increases by 4  stuffed animals each year".

What is rate of change ?

The rate of change is the speed at which a variable changes over a specific period of time.

According to the given question

We have

An equation a(n) = 3+4n, which describes the number of stuffed animal in Denise collection, a after n, number of years.

For the rate of change

Differentiate the given equation w.r.t n

[tex]\frac{d(a(n))}{dn} =\frac{d}{dn} (3) + \frac{d}{dn} (4n)[/tex]

⇒[tex]\frac{d}{dn} a(n) = 0+ 4 =4[/tex]

⇒ the number of stuffed collection increases by 4 each year.

Hence, option B is correct.

Learn more about rate of change here:

https://brainly.com/question/12786410

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The three side lengths of four triangles are given which triangle is a right triangle



Answers

Answer:

Triangle 3: 3, 4 ,5

Step-by-step explanation:

Well, you can easily tell by 3, 4, 5 being a Pythagorean triple.

But you have to use the Pythagorean Theorem to solve this.

So you get the side lengths of the two shortest sides, and you add the squared versions of them together.

So: 3^2+4^2 and if that equals the biggest side:5^2 then it's a right triangle.

The sum of three numbers is 57. If twice the first number is 6 less than the second and the second number 10 more than the third, find the numbers.

Answers

Answer:

11,28,18 are the three numbers.

Step-by-step explanation:

please help me with this equation!
you will be marked as brainliest

Answers

Answer:

A I guess according to my research.

Find the probability that a randomly placed point falls within the smaller, inner circle.

The unshaded portion has a radius of 5 centimeters. The shaded path has a width of 8 centimeters.


5/8

25/169

64/78.5

15/24

Answers

Answer:

The probability that a randomly placed point falls within the smaller, inner circle is 25/64

Step-by-step explanation:

The remaining part of question is attached

Solution

The area of smaller circle is

[tex]\pi r^2 = 25 \pi[/tex]

The area of large circle is

[tex]\pi r^2 = 64 \pi[/tex]

Area of the shaded region

Area of large circle - area of small circle

[tex]64\pi -25\pi = 39\pi[/tex]

Probability that the point falls in the region of smaller circle is

[tex]\frac{25\pi }{64\pi } \\\frac{25}{64}[/tex]

Solve.
-2} -(-5) = 0


Answers

Answer:

[tex] - 2 \frac{1}{3} - ( - 5) \\ = - \frac{7}{3} + 5 \\ = \frac{8}{3} \\ = 2 \frac{2}{3} [/tex]

Hunter is organizing textbooks on his bookshelf. He has a Spanish textbook, a math textbook, a physics textbook, and a health textbook. How many different ways can he line the textbooks up on his bookshelf?

Answers

Answer: The different ways can he line the textbooks up on his bookshelf =24

Step-by-step explanation:

The number of ways to arrange n things = n!

Given:  Number of different books = 4

Number of different ways to arrange 4 different books =4!

Number of different ways to arrange 4 different books= 4 x 3 x 2 x1

Number of different ways to arrange 4 different books = 24

Hence, the different ways can he line the textbooks up on his bookshelf =24

PLEASE HELP SOLVE FOR SURFACE AREA!!!

Answers

Answer:

4 x 4 = 16, 16 divided by 2 ( x 1/2 ) = 8

8 x 2 = 16(area of two triangles)

8 x 4 = 32(area of base below)

5.7 x 8 = 45.6 (area of slant)

4 x 8 = 32(area of the rectangle behind the figure)

Add all the given areas:

16 + 32 + 45.6 + 32 = 125.6 in^2 is your answer

When a child is born, her grandfather decides to put $100 in an account that earns interest. He plans to make no other deposits or withdrawals for 18 years. When the child turns 18 years old, the money in the account will be a birthday gift. The grandfather is choosing between two options:

Option 1: An account that grows by 10.5% each year.
Option 2: An account that grows by $20 each year.

Which option will result in a better 18th birthday gift? Explain your reasoning.

Answers

Answer:

option (1) is a better 18th Birthday gift of child by Grandfather.

Step-by-step explanation:

Amount deposited in bank at time of birth by Grandfather is $100.

And there is no other deposits and withdrawals for 18 years.

So,

                          Principal amount =$100

                                             Time = 18 years

              Rate of interest of bank = 10.5%

Option 1:- An account That grows by 10.5% each year

we know that Bank give compound interest on the deposit amount

then                   Compound interest = C.I=P(1+r) with an exponent of t

                                  C.I= 100(1 + 10.5 over 100)with an exponent of 18

                                  C.I= 100*6.0328

                                  C.I= $603.28

Option 2:- An account that grows by $20 each year

Here,

                   Amount credited in account for 18 years = $20

So,                Total amount after completion of 18 years = 10+18*20

                                                                                         =460

Hope this helped <3

The child turns 18 years old, and the money in the account will be a birthday gift is a better 18th Birthday gift for a child by a Grandfather.

The amount deposited in the bank at the time of birth by Grandfather is $100.

And there is no other deposits and withdrawals for 18 years.

Principal amount =$100

Time = 18 years

Rate of interest of bank = 10.5%

Option 1:- An account That grows by 10.5% each year

We know that Bank give compound interest on the deposit amount

What is the formula for compound interest?

Compound interest = C.I=P(1+r) with an exponent of t

C.I= 100(1 + 10.5 over 100)with an exponent of 18

C.I= 100*6.0328

C.I= $603.28

An account that grows by $20 each year

The amount credited in the account for 18 years = $20

The total amount after completion of 18 years = 10+18*20

 The total amount after completion of 18 years=460                                                                    

To learn more about the compound interest visit:

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Dynamics can be written anywhere in band music.

True or False

Answers

true it can be placed anywhere and at the beginning

Here’s the revenue and expenses for the month. Calculate whenever Mia had profit or loss.

Answers

Answer:

Profit = $200

Step-by-step explanation:

Total revenue = $9,500

Fixed expenses = $9,000

Variable expenses = $300

Total expenses = Fixed expenses + Variable expenses

= $9,000 + $300

= $9,300

Total expenses = $9,300

Profit is when revenue is greater than expenses

Loss is when revenue is less than expenses

Mia made profit because her revenue is more than her expenses

Profit = Revenue - Expenses

= $9,500 - $9,300

= $200

Profit = $200

Mr. Blake took 10 minutes to drive 5 miles,
He claims it will take half an hour to drive 15 more miles at the same rate.

Select all the statements that are true if Mr. Blake claim is true.

1. He will travel 2 miles per minute.

2. Hw would travel 50 miles in 25 minutes.

3. He will travel 1 mile for every 2 minutes.

4. He will travel at a rate of 30 miles per hour.

5. The ratio of miles driven to minutes traveled is 1:2.

Answers

Answer:

The correct answer is - 3, 4, and 5.

Step-by-step explanation:

Given:

distance = 5 miles

time to cover 5 miles = 10 minutes

If his claim is true then,

additional Distance = 15 miles

total distance will be = 15+5 = 20 miles

additional time = 30 minutes

total time = 10+30 = 40 minutes

Solution:

The speed of the vehicle can be calculated by the formula:

V = d/t

where V is speed or velocity

d = distance

t = time

Putting the final or total values in formula =

V = 20/40

= 1/2 (5th statement is true)

In an hour where 60 minutes are there, 1/2 = 30 miles per hour.

Thus, 3rd and 4th statement are true.

Need help take your time it’s due in a hour

Answers

Answer:

[tex]g(x) = 2^x - 3[/tex]

Un-formatted answer:

2^x - 3

Step-by-step explanation:

[tex]g(x) = f(x) - 8 = 2^x + 5 - 8 = 2^x - 3[/tex]

sushmila is buying Mehdi supplies

Answers

Answer:

3(p - 5) + 2s should be the correct answer!

Step-by-step explanation:

3 henna powder, and you get $5 off each henna powder so equation is 3(p - 5)

2 bottle so, 2s

add them up and get the answer

Anyways, hope this helped!

Somebody please help me it’s a big test I only have a few days left

Answers

Answer:

36-meet

37-feature

38-drag

39-Strength

40-speed

Step-by-step explanation:

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