Par 3 find the missing sides for the 30 60 90 triangles. Please show work for each.​

Par 3 Find The Missing Sides For The 30 60 90 Triangles. Please Show Work For Each.

Answers

Answer 1

7

tan(60) = h/40

h = 40 x tan(60)

h = 40√3

cos(60) = 40/r

r = 40/cos(60)

r = 80

8.

tan(60) = p/82

p = 82 x tan(60)

p = 82√3

cos(60) = 82/t

t = 82/cos(60)

t = 164

9.

tan(60) = 22√3 /x

x = 22√3 /tan(60)

x = 22

sin(60) =  22√3 /k

k = 22√3 / sin(60)

k = (20/3)√3


Related Questions

Can anyone help me. Please

Answers

Answer:

how can I help?

Step-by-step explanation:

with what?

Find the value of this expression if X=-7

Answers

Answer:

-9

Step-by-step explanation:

[tex](-7)^{2}[/tex] = 49

when you have a negative number to any power make sure you plug it in correctly into the calculator.

[tex]\frac{49+5}{-7+1}[/tex]  = [tex]\frac{54}{-6}[/tex]

54÷-6= -9

I hope this helps

Answer:

[tex]-9[/tex]

Step-by-step explanation:

[tex]\frac{x^2+5}{x+1}[/tex]

If [tex]x=-7[/tex] then:

[tex]\frac{-7^2+5}{-7+1} =\\\\\frac{49+5}{-6} =\\\\\frac{54}{-6} =\\\\-9[/tex]

The expression equals [tex]-9[/tex] if [tex]x=-7[/tex]

The value of zlatans house has increased by 7% his house is now valued at £749 000 work out the value of the house before the increase

Answers

Answer:

Let x be the value of the house before increase

Since it's increases add 7% to the overall 100%

107/100x = 749000

x = 700000

The value of the house before increase is £700000.

Hope this helps.

Factorize x squared - 1x +10 =0

Answers

Answer:

no solution exists:

Step-by-step explanation:

x²−1x+10=0

Step 1: Simplify both sides of the equation.

x²−x+10=0

Step 2: Subtract 10 from both sides.

x²−x+10−10=0−10

x²−x=−10

Step 3: The coefficient of -x is -1. Let b=-1.

Then we need to add (b/2)^2=1/4 to both sides to complete the square.

Add 1/4 to both sides.

x²−x+ 1/4=−10+ 1/4

x²−x+ 1/4=−39 /4

Step 4: Factor left side.

(x  -1/2)² = −39 /4

Step 5: Take square root.

x  −1 /2 =±√ −39 /4

Step 6: Add 1/2 to both sides.

x  =−1/2  + 1/2 = 1/2 ±√ -39/4

x = 1/2 ±√ -39/4

No real solutions.

you are emailing your cousin a care package in a box shaped like a cube. Each side of the box is 6 inches long. You mist cover the box with brown wrapping paper in order for the post office to accept it. What is the minimum amount of brown wrapping paper you will need in order to completely cover the box

Answers

Answer: 216 square inches of wrapping paper

==========================================================

Work Shown:

x = side length of cube = 6 inches

SA = surface area of cube

SA = 6x^2

SA = 6*6^2

SA = 6*36

SA = 216 square inches

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

side note: if you have a rectangular box that isn't a cube (ie the length, width, and/or height aren't all the same), then you would use this formula to get the surface area

SA = 2*(L*W+L*H+W*H)

where L,W,H are the length, width and height respectively.

−4x−6=−5y+2 Write a formula for g(x) in terms of x

Answers

Answer:

4/5x + 8/5 = g(x)

Step-by-step explanation:

−4x−6=−5y+2

Solve for y

Subtract 2 from each side

−4x−6-2=−5y+2-2

-4x -8 = -5y

Divide each side by -5

-4x/-5 -8/-5 = -5y/-5

4/5x + 8/5 = y

Replace y with g(x)

4/5x + 8/5 = g(x)

37 POINTS pls help time limit 13 minute left...

Answers

Answer:

first 3

Step-by-step explanation:

Answer:

A B C and D are all true not the last one!

Step-by-step explanation:

What is the mean of this data set? If necessary, round your answer to the nearest tenth. 11,16,22,28,29,30,31,34,37,38,43,49,56,78,99

Answers

Answer:

67 to be at work by the end if your here and we can go to the group and we will be in the office Andy I have to go to work and come back to you and get to you by the end of siliconeyiq and the next day or spiral ham and cheese for the day but will be in a

The congruency theorem Side-Angle-Side (SAS) proves two triangles are congruent because both triangles have an included angle in between two congruent sides.

True

False

Answers

The answer for this question is True

On a coordinate plane, a parabola opens upward. It has a vertex at (0, 0), a focus at (0, 1.5) and a directrix at y = negative 1.5. Which equation represents the parabola shown on the graph? y2 = 1.5x x2 = 1.5y y2 = 6x x2 = 6y

Answers

Answer:

d) The equation of the standard parabola

 x² = 6 y

Step-by-step explanation:

 The given directrix is y= -31.5

  The equation of the parabola is of the form x² =4 a y

  Given focus (0,1.5) , Here  a= 1.5

  The equation of the standard parabola

                                      x² = 4 a y

                                       x² = 4 (1.5)y

                                       x² = 6 y

Conclusion:-

The equation of the standard parabola

 x² = 6 y

The equation that represents the parabola shown on the graph is x∧2 = 6 y

What is a parabola?

A parabola is known as a plane curve that starts from a point and moves such that its distance from a fixed point is equal to its distance from a fixed line.

The graph shows a vertical parabola opened upwards with the vertex at the origin.

How to determine the equation

The equation of the parabola from the graph is;

x∧2 = 4ay

The equation of the directrix;

y = -a = -1. 5

Thus, the value of a = 1.5

Then, substitute the value of a = 1.5 in the equation deduced from the graph

x∧2 = 4 × (1.5) × y

x∧2 = 6 y

Therefore, the equation that represents the parabola shown on the graph is x∧2 = 6 y

Learn more on parabola here:

https://brainly.com/question/4061870

#SPJ2

2 prime factorization of 44

Answers

Answer:

2*2*11

Step-by-step explanation:

44 = 4*11

But 4 isn't prime

  = 2*2*11

All of these are  prime

please help me thankyou lol

Answers

Answer:

Yes, they are congruent

Step-by-step explanation:

They are congruent because they both have same length sides

find the value of each trigonometric ratio part 3​

Answers

Answer:

hope this helps you

Getaway Travel Agency surveyed a random sample of 454545 of their clients about their vacation plans. Of the clients surveyed, 212121 expected that they would go on 333 vacations in the next year. There are 516516516 Getaway Travel Agency clients.



Based on the data, what is the most reasonable estimate for the number of Getaway Travel Agency clients who expect to go on 333 vacations in the next year?

Answers

Answer:

The most reasonable estimate for the number of Getaway Travel Agency clients who expect to go on 3 vacations in the next year is 241.

Step-by-step explanation:

The best estimate for the proportion of clients who expect to go on 3 vacations is the same proportion of the sample.

Sample:

45 clients.

Of those, 21 expected to go on 3 vacations in the next year.

21/45 = 0.4667

Out of the 516 clients:

0.4667*516 = 240.8

Rounding up

The most reasonable estimate for the number of Getaway Travel Agency clients who expect to go on 3 vacations in the next year is 241.

Round 76m to 1 significant figure

Answers

Answer: 80m
Numbers above 4 (not including 4) round up. When looking at 1 significant figure you look at the number next to the first number (which is 6) and see if you round up or down

The list shows numbers in order from least to greatest. Negative 34, negative 2 and three-fourths, blank, negative 1.5, 0, 2.3, 10, 25 and one-fifth Which is an integer that can be inserted on the blank line in the list?

Answers

Options

-2.5-2[tex]-1\dfrac{9}{10}[/tex]-1

Answer:

(B) -2

Step-by-step explanation:

Given the list

[tex]-34.-2\dfrac{3}{4} ,x, -1.5,0,2.3,10,25\dfrac15[/tex]

This list has been arranged in order from the least to the greatest.

We are required to find an Integer that can be inserted on the blank line (I have used x) in the list.

An integer is defined as a positive or negative whole number.

Out of the given options, only -1 and -2 are integers. However:

-1 is greater than -1.5

Therefore, it cannot be our result.

The correct answer is -2.

Answer:

-2 i did i what he said then revewied my quiz and it was right

Step-by-step explanation:

use factoring to solve
x^2-2x-35=0

Answers

Answer:

I'm sorry I don't have an answer but for all future math work you should download photomath on your phone it's rly good

Answer:

The solution set of the quadratic equation is

x = {7, -5}

Step-by-step explanation:

Given the quadratic equation

[tex]$ x^2 - 2x -35 = 0 $[/tex]

We need to factor this equation

So you need two numbers such that

a + b = -2

and

a×b = -35

How about -7 and 5?

-7 + 5 = -2

-2 = -2

and

-7×5 = -35

-35 = -35

(x - 7)(x + 5) = 0

(x - 7) = 0

x = 7

and

(x + 5) = 0

x = -5

Therefore, the solution set of the quadratic equation is

x = {7, -5}

Verification:

Plug 7 into the quadratic equation

[tex]x^2 - 2x -35 = 0 \\\\(7)^2 - 2(7) -35 = 0 \\\\49 - 14 - 35 = 0 \\\\49 - 49 = 0\\\\0 = 0[/tex]

Plug -5 into the quadratic equation

[tex]x^2 - 2x -35 = 0 \\\\(-5)^2 - 2(-5) -35 = 0 \\\\25 + 10 - 35 = 0 \\\\35 - 35 = 0\\\\0 = 0[/tex]

I need help please! I’m really confused about it

Answers

The answer is 1 and 3

The point-slope from of a line that has a slope of -2 and passes through the point (5,-2)

Answers

Step-by-step explanation:

y + 2. = -2(x - 5)

y + 2 = -2x + 10.

y = -2x + 8

There are 8 sophomores on the academic team. At the last competition, they each took the math test. Their scores were 82%,
92%, 76%, 72%, 92%, 74%, 80%, and 78%. What was the median math score of the sophomores?
79%
82%
87%
92%

Answers

Answer:

79%

Step-by-step explanation:

median is the middle no.

arrange the scores in descending order

72,74,76,(78,80),82,92,92

78+80, divide 2= 79%

Which are linear pairs? Check all that apply.
A. ∠DAE and ∠EAD
B. ∠BAC and ∠CAD
C. ∠BAE and ∠EAD
D. ∠EAD and ∠DAC
E. ∠CAE and ∠BAD

Answers

Answer:

Options B, C and D

Step-by-step explanation:

Linear pair of angles means sum of the angles of the pair is 180° which are formed at a point of a line.

In other words, pair of supplementary angles is the linear pair.

From the figure attached,

Pair of the linear angles are,

1). ∠BAC and ∠CAD

2). ∠BAE and ∠EAD

3). ∠EAD and ∠DAC

Therefore, Options B, C and D are correct.

Answer:

B, C, and D

Step-by-step explanation:

What is the average rate of change for this exponential function for the
interval from x = 2 to x = 4?

Answers

it is two i think. hope i could help

what is the sum of a and b?

Answers

Answer:

a=13, b=7

Step-by-step explanation:

You can use the exponent rule

[tex]3x^{a-5}y^{9-b}=3x^{8}y^{2}[/tex]

so [tex]x^{a-5}=x^{8}[/tex] so

a-5=8

a=13

[tex]y^{9-b} =y^{2}[/tex] so

9-b=2

b=7

R (x) = 3x + 17/ -6x^2 + 39x

Answers

Answer:

[tex]\frac{3x+17}{-3x(2x-13)}[/tex]

unless there is more to the question

Step-by-step explanation:

You can't do anything to the top so work with the bottom.

since both terms have an x and are divisible by 3 take out a GCF of -3x

The bottom should be: -3x(2x-13)

You can't simplify any further.

You have $60 and your sister has $120. You are saving $14 per week and your sister is saving $10 per week. How long will it be before you and your sister have thr same amount of money? What amount would you have the same ?

Answers

Answer:

15 weeks

The amount of money is  270

Step-by-step explanation:

You: 60 +14x

Sister: 120+10x

Set them equal to each other

60+14x = 120+10x

Subtract 10x from each side

60+4x= 120

Subtract 60 from each side

4x= 60

Divide by 4

4x/4 = 60/4

x = 15

15 weeks

The amount of money is 120+10*15 = 120+150 = 270

Answer:

15 weeks

$270

Steps:

1: 60+14x=120+10x

2: 4x=60

3: x=15 weeks

4: Amount= 60+14*15= $270

Description:

The first step is to get the money u have that is $60 plus it with the saving u have that is $14 answer will equal as 120+10x  as a equation. Now simplify the equation 4x=60. You will get x=15 that will be the weeks. And now get 60+14 times it by 15 answer will equal as $270. So 15 weeks and $270 is the answer.

Please mark brainliest

Hope this helps.

If 14x = 6(–4 + x), then x = ?

Answers

Answer:

Step-by-step explanation:

Expand first

-24+6x=14x

-6x on both sides

-24=8x

/x on both sides

X=-3

Answer: [tex]x=-3[/tex]

Step-by-step explanation:

You want to apply the distributive property. Or, you could just divide by 6 on both sides. Ill just apply the distributive property:

[tex]14x = -24 +6x[/tex]

Now subtract 6x from both sides to get:

[tex]8x = -24[/tex]

Divide both sides by 8 to get x = -3

Solve the equation.
-9x + 1 = -x + 17

Answers

Answer:

The value of [tex]x[/tex]:

[tex]x = -2[/tex]

Step-by-step explanation:

Find the value of [tex]x[/tex]:

[tex]-9x + 1 = -x + 17[/tex]

-Add both sides by [tex]x[/tex]:

[tex]-9x + 1 + x = -x + x + 17[/tex]

[tex]-8x + 1 = 17[/tex]

-Subtract both sides by [tex]1[/tex]:

[tex]-8x + 1 - 1 = 17 - 1[/tex]

[tex]-8x = 16[/tex]

Divide both sides by [tex]-8[/tex]:

[tex]\frac{-8x}{-8} = \frac{16}{-8}[/tex]

[tex]x = -2[/tex]

So, the final answer would be [tex]x = -2[/tex] .

Answer:

x=−2

Step-by-step explanation:

−9x+1=−x+17

Add x to both sides.

−9x+1+x=−x+17+x

−8x+1=17

Subtract 1 from both sides.

−8x+1−1=17−1

−8x=16

Divide both sides by -8.

−8x/-8 = 16/-8

Answer:

x=−2

A=-2[[-6,4],[3,7],[12,10]] B=3[[-2,2,8],[8,5,6]]and D=-1[[-12,8],[6,14],[24,20]] are equal matrices ANSWERS a nd b are equal b and c are equal c and d are equal d and a are equal

Answers

Answer:

D and A are equal

Step-by-step explanation:

Two matrices A and B are said to be equal if both matrices have the same number of rows and columns. Given the following matrices

[tex]A = -2\left[\begin{array}{ccc}-6&4\\3&7\\12&10\end{array}\right] \\multiplying\ the \ matrix\ through\ by\ -2\ will\ give\\A = \left[\begin{array}{ccc}12&-8\\-6&-14\\-24&-20\end{array}\right] \\\\\\B =3 \left[\begin{array}{ccc}-2&2&8\\8&5&6\end{array}\right] \\B = \left[\begin{array}{ccc}-6&6&24\\24&15&18\end{array}\right] \\\\\\D = \left[\begin{array}{ccc}12&-8\\-6&-14\\-24&-20\end{array}\right][/tex]

From the above matrices, it can be seen that matrix A and C both has 3 rows and 2 columns each which matrix b has 2 rows and 3 columns.

Based on the conclusion, it can be seen that matrices A and D are equal since they have the same number of rows and columns

Una escalera está apoyada sobre una pared a 4,33 m de altura y forma con el piso un ángulo de 60°. a) Calcula el largo de la escalera. b) Si el punto B correspondiera a (5,0) y el punto a correspondiera a (0,7). Halla la ecuación de la recta que pasa por los dos puntos, es decir la escalera.

Answers

Answer:

a) 5,00 m

b) y = - (7/5)x + 7

Step-by-step explanation:

The stairs and the wall forms a rectangle triangle. The wall is the opposite side respect to the angle which stairs forms with ground (I attached an image below of the situation).

a) To find the length of stairs you use the following trigonometric relation:

[tex]sin\theta=\frac{h}{l_s}[/tex]            (1)

h: height in which the stairs touch the wall = 4,33 m

ls: length of the stairs

θ: angle between ground and stairs = 60°

You solve the equation (1) for ls:

[tex]l_s=\frac{h}{sin\theta}=\frac{4,33m}{sin60\°}=4,99m\approx5,00m[/tex]

b) The line equation is given by:

[tex]y-y_o=m(x-x_o)[/tex]           (2)

Firs, you calculate the slope by using the equation (2):

[tex]m=\frac{0-7}{5-0}=-\frac{7}{5}[/tex]

Next, you use one of the point, say B, an you replace this points for yo and xo:

[tex]y-0=-\frac{7}{5}(x-5)\\\\y=-\frac{7}{5}x+7[/tex]

Pls ANSWER LOOK AT THE PHOTO ANSWER ASAP

Answers

Answer:

Answer number one, x < 7/12

Answer:

A

Step-by-step explanation:

If you make he denominators equal to each other (in this case 12) the new fractions would be 3/12 and 10/12. Then you would subtract 3/12 from both sides making 7/12 on the right side. The inequality remains facing the same direction, making the answer A or x<7/12.

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