part 4. Find the missing sides for the 30 60 90 triangles. Please show work for each​

Part 4. Find The Missing Sides For The 30 60 90 Triangles. Please Show Work For Each

Answers

Answer 1

10. tan(30) = l / 6√3

l = tan(30) x 6√3

l = 6

cos(30) = 6√3 / y

y =  6√3/cos(30)

y = 12

11. tan(30) = c/30

c = 30 x tan(30)

c = 10√3

cos(30) = 27/w

w = 27/cos(30)

w = 18√3

12.

sin(60) = 36/y

y = 36/sin(60)

y = 24√3

tan(60) = 36/x

x = 36/tan(60)

x = 12√3

Answer 2

Answer:

  10. (l, y) = (6, 12)

  11. (c, w) = (9√3, 18√3)

  12. (x, y) = (12√3, 24√3)

Step-by-step explanation:

Side ratios, shortest to longest, in a 30°-60°-90° triangle are ...

  1 : √3 : 2

__

10. l : 6√3 : y = 1 : √3 : 2

multiply by 6

  = 6 : 6√3 : 12

  l = 6, y = 12

__

11. c : 27 : w = 1 : √3 : 2

multiply by 27/√3 = 9√3

  = 9√3 : 27 : 18√3

  c = 9√3, w = 18√3

__

12. x : 36 : y = 1 : √3 : 2

multiply by 36/√3 = 12√3

  = 12√3 : 36 : 24√3

  x = 12√3, y = 24√3

__

This is easier when the triangle is drawn to clearly differentiate the lengths of the sides. The long leg is opposite the 60° angle; the short leg is opposite the 30° angle.


Related Questions

Plssssssss........helppppppp meeeeeee

Answers

Answer:

The coefficient is 12

Step-by-step explanation:

The coefficient is the number next to the variable in the term

12p

The coefficient is 12 and the variable is p

Answer:
12

Explanation:
The coefficient is the number in front of a variable.

Using the midpoint method (show your work), calculate the price elasticity of demand when the price of a barrel of gosum berries rises from $10 to $20. What kind of elasticity is this value that you computed for the price elasticity of demand and what does it mean for how demand will change based on a change in price within this price range?

Answers

Answer:

0.18

Step-by-step explanation:

Given that:

P₁ = $10, P₂ = $20

From the tables Q₁ = 900, Q₂ = 800

Using midpoint method:

Percentage change in quantity = [tex]\frac{Q_2-Q_1}{(Q_1+Q_2)/2} *100\%=\frac{800-900}{(900+800)/2}*100\%= -11.76\%\\[/tex]

Percentage change in price =

[tex]\frac{P_2-P_1}{(P_1+P_2)/2} *100\%=\frac{20-10}{(20+10)/2}*100\%= 66.67\%\\[/tex]

Price of elastic demand = Percentage change in quantity/ Percentage change in price = -11.76% / 66.67% = 0.18

The Price of elastic demand is positive because we took the absolute value and elasticity are always positive

Therefore since Price of elastic demand < 1, the demand is inelastic in this interval.

This means that, along the demand curve between $10 to $20, if the price changes by 1%, the quantity demanded will change by 0.18%. A change in the price will result in a smaller percentage change in the quantity demanded. For example, a 10% increase in the price will result in only a 1.8% decrease in quantity demanded and a 10% decrease in the price will result in only a 1.8% increase in the quantity demanded

Find the length of the hypotenuse. The measure of the hypotenuse?

Answers

Answer:

Since it's a right angled triangle

Hypotenuse = h

h² = 7²+24²

h= √49 + 576

h = √625

h= 25

Therefore hypotenuse is 25

Hope this helps.

Answer & Step-by-step explanation:

First, we must know the Pythagorean Theorem.

a² + b² = c²

a = 24

b = 7

Now, let's plug in these numbers into the formula.

24² + 7² = c²

Simplify the exponents.

576 + 49 = c²

Add 576 and 49 together.

625 = c²

Square root the terms on both sides of the equation.

√625 = √c²

Simplify the square roots.

25 = c

The length of the hypotenuse is 25 units.

I know this is a SUPER easy question, i’m just dumb. Question in photo.

Answers

Answer:

Quadrant III (Answer C)

Step-by-step explanation:

(4, 7) is in Quadrant I.  Rotating it 180 degrees around the origin places it in Quadrant III (Answer C).

Answer:

Quadrant 3 (Answer C)

20 points someone who actually knows what they doing lol❤️

Answers

Answer:

77°

Step-by-step explanation:

We can use: [tex](c*9/5)+32=f[/tex] to convert Celsius to Fahrenheit.

'c' - Celsius

'f' - Fahrenheit

Replace 'c' with 25:

[tex](25*9/5)+32=f\\45+32=f\\\boxed {77 = f}[/tex]

25° Celsius is 77° Fahrenheit.

Answer:

77

Step-by-step explanation:

can you please help me with functions

Answers

Option D is the right answer

(-1,4),(1,7),(2,10)

It is a function because input X values have its unique output y values.

hope it helps

Good luck on your assignment

The slope of AB is -2/5. Segment CD has endpoints at C(-5,3) and D(10,-3). Are AB and CD parallel, perpendicular or neither? Justify.

Answers

Answer:

Neither

Step-by-step explanation:

When I input segment CD onto a graph, I get -0.4 as the slope or 15/-6. If the lines were parallel, they would need to have the same slope which they do not have. If they were perpendicular, they would need to have different slopes so, -2/5 and 5/2 which they do not. That leaves us with the only option of neither.

Plz sub to Rebel_IOSツ on yt!

Answer:

AB and CD are parallel

Step-by-step explanation:

AB has the slope of -2/5

let's see what slope the line CD has:

points are (-5, 3) and (10, -3)slope= m= (y2-y1)/(x2-x1)= (-3-3)/(10+5)= -6/15= -2/5

as we see AB and CD have same slope, therefore they are parallel

Brenden bought 20 bananas and apples, at $1.20 per banana and
$1.40 per apple. The total cost was $26.
How many bananas and apples did he buy, respectively?​

Answers

Answer:

hey so im guessing its 10 bananas and 10 apples

Step-by-step explanation:

1.2x 10=12

1.4x10= 14

12+14=26

Please please help me

Answers

Answer:

yes the graph reflects over the y-axis because if you see in the y axis the line show that it is the pont to the axis

hope it helps

f(n) = 65 - 4n; 29

determine which term produces the given number?​

Answers

Answer:

9 th term

Step-by-step explanation:

Equate 65 - 4n to 29 and solve for n , that is

65 - 4n = 29 ( subtract 65 from both sides )

- 4n = - 36 ( divide both sides by - 4 )

n = 9

The graph below represents the distance a pilot is from the home airport during a period of time.

Answers

Answer:

C. Decreasing

Step-by-step explanation:

When chords intersect in a circle, the vertical angles formed intercept congruent arcs

Answers

Answer:

c

Step-by-step explanation:

A wooden plank is cut into three pieces. The ratio of the length of the pieces of wood is 6:10:12. If the length of the original wooden plank is 812 centimetres, what is the length of the longer piece of wood?

Answers

Answer:

290 centimetres

Step-by-step explanation:

The ratio of the length of the pieces of wood is 6 : 10 : 12.

We have to find the total ratio first:

6 + 10 + 12 = 28

The longer piece of wood has ratio 10.

The length of the original wooden plank is 812 centimetres, therefore, the length of the longer piece of wood is:

10/28 * 812 = 290 centimetres

Please help! Correct answer only please! I need to finish this assignment by today.

You spin the spinner once.

What is P(factor of 6)?

Write your answer as a percentage.


___%

Answers

Answer:

100%

Step-by-step explanation:

The factors of 6 are 1, 2, 3, and 6. Since all of the numbers on the spinner are a factor of 6, there is a 3/3=100% chance of that. Hope this helps!

Answer:

100%

Step-by-step explanation:

I just took the test on edgenity

A scale drawing has a scale of 3in:1ft. What is the scale factor?​

Answers

Answer:

1 : 4

Step-by-step explanation:

Remember, your units have to match, so

3 in : 1 ft

doesn't look right, change 1 ft to 12 in.

3 in : 12 in

reduce by 3

1 : 4

What are the factors of 36xyz?

A. 36,x,y
B. 36x,y,z
C. x,y,z
D. 36,x,y and z

Answers

Answer:

ç

Step-by-step explanation:

If f(x)=3x^2and g(x) =x+2 find (f •g)(x)

Answers

Answer:

3x^2+12x+12

Step-by-step explanation:

i think you just sub in x+2 into 3x^2

Which polynomial correctly combines the like terms and expresses the given polynomial in standard form?

9xy3 – 4y4 – 10x2y2 + x3y + 3x4 + 2x2y2 – 9y4

–13y4 + 3x4 – 8x2y2 + x3y + 9xy3
–13y4 + x3y – 8x2y2 + 9xy3 + 3x4
3x4 – 8x2y2 + x3y + 9xy3 – 13y4
3x4 + x3y – 8x2y2 + 9xy3 – 13y4

Answers

Answer:

D. [tex]3x^4 + x^3y - 8x^2y^2 + 9xy^3 - 13y^4[/tex]

Step-by-step explanation:

[tex]9xy^3 - 4y^4 - 10x^2y^2 + x^3y + 3x^4 + 2x^2y^2 - 9y^4 =[/tex]

[tex]= 9xy^3 - 13y^4 - 8x^2y^2 + x^3y + 3x^4[/tex]

[tex]= 3x^4 + x^3y - 8x^2y^2 + 9xy^3 - 13y^4[/tex]

The standard form of a polynomial is the general way of writing the polynomial.

The standard form of the polynomial is (d) [tex]3x^4 + x^3y -8x^2y^2 9xy^3 -13y^4[/tex]

The polynomial expression is given as:

[tex]9xy^3 - 4y^4 -10x^2y^2 + x^3y + 3x^4 + 2x^2y^2 - 9y^4[/tex]

Collect like terms

[tex]9xy^3 - 4y^4 - 9y^4 -10x^2y^2 + 2x^2y^2 + x^3y + 3x^4[/tex]

Evaluate the like terms

[tex]9xy^3 -13y^4 -8x^2y^2 + x^3y + 3x^4[/tex]

Rewrite the polynomial in decreasing order of the power of x

[tex]3x^4 + x^3y -8x^2y^2 9xy^3 -13y^4[/tex]

Hence, the standard form of the polynomial is (d) [tex]3x^4 + x^3y -8x^2y^2 9xy^3 -13y^4[/tex]

Read more about polynomials at:

https://brainly.com/question/2833285

11m-14<7m+14 work out

Answers

Step-by-step explanation:

11m - 7m < 14 + 14

4m < 28

m < 28 / 4

m < 7

What is the slope? WIL MARK BRAIN 20 POINTS

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answers

I believe it is 4/3. I just did rise over run to find the slope. Hope it helps! :)

2⁄5 + 3⁄7 + 5⁄6 = is what?

Answers

Answer:1.661905 or 349/210 Or 1 139/210

Step-by-step explanation:

2⁄5 + 3⁄7 + 5⁄6

29/35+5/6

349/210

What are the odd numbers

Answers

Answer:

1,3,5,7,9....up to soon are odd numbers

Step-by-step explanation:

they are not divided by 2

Answer:

1,3,5,7,9

Step-by-step explanation:

A ball was dropped from a height of 60m. Each time it hit the ground, it bounced up 1/2 (half) of the height that it dropped. How far had the ball travelled when it hit the ground for the fifth time?

Answers

Answer:

The ball traveled 116.25 m when it hit the ground for the fifth term

Step-by-step explanation:

This is a geometric progression exercise and what we are asked to look for is the sum of a GP.

The ball was dropped from a height of 60 m. This means that the initial height of the ball is 60 m.

First value, a = 60

Each time it hit the ground, it bounced up 1/2 (half) of the height that it dropped.

This is the common ratio, r = 1/2 = 0.5

The number of terms it hits the ground is the number of terms in the GP.

number of terms, n = 5

The distance traveled by the ball when it hit the ground for the fifth term will be modeled by the equation:

[tex]S_n = \frac{a(1 - r^n) }{1 - r} \\S_5 = \frac{60(1 - 0.5^5) }{1 - 0.5}\\S_5 = \frac{58.125}{0.5} \\S_5 = 116.25 m[/tex]

PLEASE HELP!! WILL MARK BRAINIEST !!
Select the correct answer. If f(x)=2x^2+3x and g(x)=x-2 what is (f+g)(2)

A.)16
B.)14
C.)12
D.)10
E.)8

Answers

Answer:

(f+g)(2) = 10

Step-by-step explanation:

f(x)=2x^2+3x

g(x)=x-2

(f+g)(x) will be sum of f(x) and g(x)

(f+g)(x)  = 2x^2+3x + x - 2 = 2x^2+4x - 2

we have to find  (f+g)(2), for that we will put x = 2

(f+g)(x)  = 2x^2+4x - 2

[tex](f+g)(2) = 2*2^2+2*2 - 2\\(f+g)(2) = 2*4+4 - 2\\(f+g)(2) = 8+4 - 2 = 10[/tex]

Thus,  (f+g)(2) is 10.

Please answer correctly !!!!! Will mark brainliest !!!!!!!!!!!

Answers

Answer:

no

Step-by-step explanation:

tom paid $16 for 6 audio cassettes. Which proportion can be used to find the amount of money (m) he would pay for 9 audio cassettes

Answers

Answer:

Step-by-step explanation:

From the question, Tom paid $16 for 6 audio cassettes and we are told to find the proportion to get the amount of money (m) he would pay for 9 audio cassettes. To get this, we have to know the amount of the cost of 1 audio cassette. Since Tom paid $16 for 6 audio cassettes, 1 audio cassette will cost:

= $16/6

= $2.67

1 audio cassette will cost $2.67

The amount of money spent will depend on the number of audio cassettes. Therefore,

m = $2.67 × n

m = $2.67n

where n = number of audio cassette

The amount of money he'll pay for 9 cassette will be:

m = $2.67n

m = $2.67 × 9

m = $24.03

find the measure of the indicated angle to the nearest degree. Part 1​

Answers

Answer:

hope this helps you

Pls answer all 3 questions

Answers

Answer:

a) x=4

b) y=3

c) 3m-2n

Given the equation y = 2x - 8, what is the slope and the y-intercept? A.) m = 8 and b = 2 B.) m = 2 and b = 8 C.) m = 2 and b = -8 D.) m = -8 and b = 2

Answers

Answer:

C.) m = 2 and b = -8

Step-by-step explanation:

Generally:

In an equation of the form y = mx + b

the slope is m

the y-intercept is b

In our equation y = 2x - 8 = 2x + (-8)

then

m = 2  and  b = -8

Given that RT ≅ WX, which statement must be true?

Answers

Answer:RT is congruent to WX

Step-by-step explanation:

Answer: RT

Step-by-step explanation:

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