Find the missing side lengths. Leave your answers as radicals in simplest form.

Find The Missing Side Lengths. Leave Your Answers As Radicals In Simplest Form.

Answers

Answer 1

Answer:

A. a = √2

b = √2

Step-by-step explanation:

Apply trigonometric function to find a and b:

Reference angle = 45°

Hypotenuse = 2

Opposite side = a

Adjacent side = b

✔️Apply SOH to find a, which is:

Sin 45 = Opp/Hyp

Sin 45 = a/2

2*Sin 45 = a

2*1/√2 = a (sin 45 = 1√2)

2/√2 = a

Rationalize

(2*√2)/(√2*√2) = a

2√2/2 = a

√2 = a

a = √2

✔️Apply CAH to find b, which is:

Cos 45 = Adjacent/Hypotenuse

Cos 45 = b/2

2*Cos 45 = b

2*1/√2 = b (Cos 45 = 1√2)

2/√2 = b

Rationalize

2√2/2 = b

√2 = b

b = √2


Related Questions

What is the value of x?



Enter your answer in the box.

x =

Answers

Answer:

x-4+3x+100=180....by angle sum property

4x=84

x=21

Tom has 24 books. 8 books are novels,
6 books are non-fiction, 4 are comics
and the rest are magazines. What
percent of Tom's books are magazines?​

Answers

25% is the percentage of magazines

1.**A businesswoman purchased in-flight WiFi on her flight from New York to San Francisco. The graph
below shows the amount of time she spent using WiFi and the amount of money that she paid. What is
the constant of proportionality shown in the graph? What does the constant of proportionality
represent in the context of this problem?
Cost (in dollars)
LUIS

Answers

Answer:

tell me more info

Step-by-step explanation:

Factorise the following expression :

Answers

Answer:

(i) [tex]5x(x - 5y)[/tex]

(iv) 12a²b(3-5c)

Step-by-step explanation:

(i) [tex]5 {x}^{2} - 25xy[/tex]

[tex]5 {x}^{2} - 25xy = (x - y)[/tex]

[tex]5x(x - 5y)[/tex]

(iv) 36a²b - 60a²bc

12a²b(3) - 60a²bc

12a²b(3) + 12a²b(-5c)

12a²b(3-5c)

Hope it is helpful....

the question is in the picture ​

Answers

I’m pretty sure it’s 16 sorry if I counted wrong.

EASY MATH CHALLENGE NEED EXPLANATION 20 POINTS The board game Kings crown has, red, green, and gold gems for the players to earn as they play. The game has 1/3 as many green games as red gems. It has 1/6 as many red gems as gold gems. What fraction of the game's gems are gold?

Answers

Answer:

9/11

Step-by-step explanation:

Let r = number of red gems

Let n = number of green gems

Let p = number of gold gems

n= (1/3)r   - - >   multiply both sides by 3  - - >   r = 3n

r = (1/6)p  - - >   multiply both sides by 6  - - >  p = 6r

So the number of reds (r) is 3x the number of greens (n)

And the number of golds (p) is 6x the number of reds.

So for every 1 green, we have 3 reds and for every red we have 6 golds.

So for every 1 green, we have 3 reds and 18 golds.

So we add 1 + 3 + 18 = 22 gems.

Out of the 22 gems, 18 are gold.

18/22 = 9/11 are gold

Kaitlyn buys books from a book club. She calculates the total cost, in
dollars, of each order using the formula 15b + 5. In her formula, b
represents the number of books she orders.
a) What is the total cost of ordering four books?
b) What is the total cost of ordering two books?
c) What is the total cost of ordering one book?

Answers

Answer:

c=what is the total cost of ordering one book..

Step-by-step explanation:

Given function:

15b+5

What this means:

15b+5 means that 15+5..b=1 for 15+15so if the cost of the book is 15 dollars it adds 5 since you brought that book or for other reasons.15+5=1 book and b represents it.

Therefore, b=the total cost of ordering one book..

¿ A que se refiere al "al cubo" ?​

Answers

Answer:

5^3

Step-by-step explanation:

Answer: A-5(3)

Step-by-step explanation: Hoped I helped don't know how to to put the exponent up but is 5'3, the first option.

The Explanation is Spanish: esperaba haber ayudado, no sé cómo aumentar el exponente, pero es 5'3, la primera opción.

Round 3,411 to the nearest hundred

Answers

3400 you round 11 down since it’s less than 50

Answer:

3,411 ≈ 3,400

Step-by-step explanation:

Locate the hundreds place and the number to the right of it.

3,411

Since 1 is less than or equal to 4, we round down.

3,411 ≈ 3,400

Hope this helps!

Where does the adjacent interior angle go in a triangle?

Answers

Answer:

Any two interior angles that share a common side are called the "adjacent interior angles" of the polygon, or just "adjacent angles". Here the word adjacent is used in its ordinary English meaning of "next to each other".

Step-by-step explanation:

I really need help with my question

Answers

answer :

z=11

y=13

will be ur answers

Gabriela has an average daily balance of $232.94 on her credit card. Her card charges 9.25% annual interest. What will her monthly finance charge be?

Answers

Answer:

$21.55

Step-by-step explanation:

Gabriela's monthly finance charge will be $21.54.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Gabriela has an average daily balance of $232.94 on her credit card. Her card charges 9.25% annual interest.

The finance charge will be calculated as:-

Charge = ( 232.94 x 9.25%)

Charge = 232.94 x 0.0925

Charge = $21.54

Therefore, the monthly finance fee for Gabriela will be $21.54.

To know more about an expression follow

https://brainly.com/question/28286831

#SPJ6

whit is the size of the angle below

Answers

Answer:

There is no picture

Step-by-step explanation:

oof

Step-by-step explanation:

what is angle

Is 3/2 greater than 1? Or Less than

Answers

Answer:

3/2 is greater than 1

Step-by-step explanation:

A little trick to immediately know if a number is more or less than when it involves fractions versus whole numbers is that improper fractions will always be greater than 1.

If you want to confirm this, dividing 3/2 equals 1.5, ergo 1.5 > 1.

In essence, improper fractions will always represent a number greater than one contrasted to proper fractions because if you put it on a perspective (let's say you have 13 pie slices but you only needed 12, that means there is a pie slice that's extra that makes it greater than the original pie slices).

Hope that helps :)

help!!11 I will mark brainliest

Answers

Answer:

M, B, A, T, K are the points of the statement: x<y

Step-by-step explanation:

oh dis is easy peasy lemony squeezy yes big bran time now onto the question :D

So the X has to be smaller than the Y. right?

ok, let's go with point M first shall we?

Coordinates are: 0, 6

is X smaller than Y? yes. yes indeed it is...

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

Point N:

Coordinates are: 3, 3

Is X smaller than Y? no. No they are not.

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

Then you continue doing this for the rest of the points. Remember: Negatives are a bit tricky! -3 may not be smaller than -6 :)

Answer:

a,i,o,r,t

Step-by-step explanation:

There were two lions .Each lion had two cubs. How many lions were there in all?
(write sentence equation)​

Answers

Two lions plus two Cubs per each line equals six lions.

Answer:

You have to solve the total amount of lions. So, you know that there are 2 lions, and both of those lions had 2 cubs.(cubs are also lions, just baby lions)

You would write:

2x2= 4

OR 2x2=x

(the first one is if the problem does not ask for a variable)

Step-by-step explanation:

An appliance salesperson earned $32.80 in commission for selling a refrigerator for $820. At that rate, how much would the salesperson earn in commission for selling a microwave oven for $340?

Answers

Answer:

Salesperson would earn $13.6 in commission for selling a microwave oven for $340.  

Step-by-step explanation:

We are given that an appliance salesperson earned $32.80 in commission for selling a refrigerator for $820.

We have to find how much would the salesperson earn in commission for selling a microwave oven for $340.

Firstly, we will the find the rate at which the salesperson gets a commission in % terms.

So, Percentage rate of commission is given by;

Rate of commission=(Commission earned ÷ Selling Price of refrigerator)  100

                                =  =  = 4%

Now, this rate will be used to find the commission earned on selling a microwave oven for $340, i.e;

Commission earned  for selling a microwave oven = 4% of Selling price of microwave oven

                                  =   = $13.6

Therefore, salesperson would earn $13.6 in commission for selling a microwave oven for $340.  

A box contains tiles that cover 8.5 square feet of floor area. Pamela needs to install the tiles on 518.50 square feet of floor. How many boxes of tile does she need?

Answers

61 boxes :)

A= lw

We know the area and one of the variables-

518.50= 8.5w

Divide 518.5 by 8.5

518.5/8.5= 61

61 boxes!

What is the value of f(4) for the following function?
f (x) = x2 – 2x + 10

Answers

18

(4)^2-2*4+10

16-8+10

16+2

18

Copy each problem onto your paper.

Show all work and make it as neat as possible.

Upload a photo of your work immediately so I can provide feedback as soon as possible.

Solve each system BY LINEAR COMBINATION/Elimination

(refer to the examples provided in today's notes).

#1) x + 10y = -7

-x +6y = -9



#2) -9x + 3y = -3

-x - 6y = -13

Answers

Answer:

Step-by-step explanation:

Here is the work and explanation:

2. Look at each number below. Select all the numbers that can be written as a ratio of two integers.
A. -38
B. 149
C. V18
D. TI
E. 127

Answers

I the answer should be C

Evaluate the expression for r = 4 and s = 5
10 + r(s - 1) =

Answers

Answer:

26

Step-by-step explanation:

Substitute the values of r and s into the equation:

10 + r(s - 1 ) =

10 + 4(5 - 1 )

Then use Pemdas to solve the rest.

Parenthesis

Exponents

Multiplication

Division

Addition

Subtraction

Find the values of x and y.
A. x = 42, y = 26.3
B. x = 47, y = 30
C. x = 42, y = 30
D. x = 47, y = 26.3

Answers

Answer:

C

Step-by-step explanation:

2x + 1 = 85 (Alternate Interior Angles Theorem)

2x = 84

x = 42

(3y + 5) + (2x + 1) = 180 (Linear Pair Theorem)

3y + 5 + (85) = 180

3y + 5 = 95

3y = 90

y = 30

Answer:

x = 42, y = 30

Step-by-step explanation:

Alternate angles are equal so

85 = 2x + 1

2x = 84

x = 42°

Linear pair

(3y + 5) + (2x + 1) = 180

3y + 5 + 85 = 180

3y = 90

y = 30°

So I think the answer is x = 42° and y = 30°.

Hope it helps.

What is the equation of the line that passes through the point (5,-1) and has a
slope
of 1/5

Answers

Answer:

y=1/5x-2

Step-by-step explanation:

You want to find the equation for a line that passes through the point (5,-1) and has a slope of 1/5.

First of all, remember what the equation of a line is:

y = mx+b

Where:

m is the slope, and

b is the y-intercept

To start, you know what m is; it's just the slope, which you said was 1/5. So you can right away fill in the equation for a line somewhat to read:

y=1/5x+b.

Now, what about b, the y-intercept?

To find b, think about what your (x,y) point means:

(5,-1). When x of the line is 5, y of the line must be -1.

Because you said the line passes through this point, right?

Now, look at our line's equation so far: . b is what we want, the 1/5 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the the point (5,-1).

So, why not plug in for x the number 5 and for y the number -1? This will allow us to solve for b for the particular line that passes through the point you gave!.

(5,-1). y=mx+b or -1=1/5 × 5+b, or solving for b: b=-1-(1/5)(5). b=-2.

The equation of the line that passes through the point (5,-1) with a slope of 1/5

is

y=1/5x-2

9. The ratio of boys to girls in a class is 4:5. How
many students in the class if there are 24 boys?
A. 30
B. 52
C. 54
D. 56
Plsss need help I choose the Brainliest if it's good​

Answers

A.30
24 divided by 6 is for
5 times 6 is 30

State the sufficient conditions for existence of Laplace​

Answers

What is the question

A corporation reported cash of $26,200, total assets of $457,000, and total equity of $156,630 on its balance sheet. Its common-size percent for cash equals:

Answers

Answer:

Common-size percent for cash = 5.73 % (Approx.)

Step-by-step explanation:

Given:

Total cash = $26,200

Total assets = $457,000

Total equity = $156,630

Find:

Common-size percent for cash

Computation:

Common-size percent for cash = [Total cash/Total assets]100

Common-size percent for cash = [26,200/457,000]100

Common-size percent for cash = 5.73 % (Approx.)

WILL GIVE BRAINLIEST

Answers

Answer:

hey there, it's option A, -7.

Option A is the right one

What should I know before precalculus?

please mark me brainliest and whoever marks me right down your name and I will mark you back

Answers

Answer:

hope it helps

Step-by-step explanation:

You'll be doing a lot of graphing, quadratic equations, polynomial equations, trig graphs and inverse graphs to name a few things so make sure you're good with algebra, geometry, and trigonometry. Trig identities and algebra skills

Paul's math teacher has several workbooks she wants to place them on a bookshelf but needs to know if they were all fit in one shelf The thickness and number workbooks is shown on the line plot.

Answers

Answer:

11/2 or 5 1/2

Step-by-step explanation:

i got it right

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