. In a 30°-60°-90° triangle, the length of the hypotenuse is 12 inches. What is the length, in inches, of the side opposite the 60° angle?

Answers

Answer 1
The sides of a 30-60-90 triangle are always in the ratio 1:√3:2, respectively.

The side opposite the 90° is 12 inches, so the side opposite the 30° angle is 6 inches, and the side opposite the 60° angle is 6√3 inches.

Related Questions

1. Find the measure of <2

Answers

Answer:

Step-by-step explanation:

If quadrilateral is rhombus, then m∠2 = 60°

Which of the following is equal to 4.8 ÷ 2?

Answers

DIVISION

Let's divide:

4.8 ÷ 2 = 2.4

Another option:

Shift the decimal point one space for both:

4.8  →  48

2.0  →  20

Now we can divide easily:

48 ÷ 20 = 2.4

It will give the same result.

‎      ‏‏‎

Answer. 2.4

Mila bought a computer with a price tag of $1,200.
After tax the total was $1,284. What was the rate of the
tax?

Answers

Answer: 7%

Step-by-step explanation:

PLSS HELP NEEDED ASAP

Answers

I believe it is B. It shows the unit rate of the graph in miles per hour

Which equation in point-slope form describes the line that passes through the point (4,-5) and is perpendicular to
the line represented by - 7x + 2y = 14?

Answers

Answer:

18

Step-by-step explanation:

to be 18 7 bitween one is the complet the neme of soit and can be instracttion

Answer:

d

Step-by-step explanation:

y+5=-2/7(x-4)

Amy bought some shirts and skirts for $168. Each shirt cost $17, and each skirt cost $22. She
bought a total of 9 items. How many shirts did Amy buy

Answers

Answer:

3 shirts and 6 skirts

Step-by-step explanation:

lets call number of shirts x and number of skirts y

so x+y=9

17x+22y=168

multiplying the first equation by 17 we get

17x+17y=153

17x+22y=168

subtracting we get

5x= 15

x=3

and we know x+y=9 so y=6

so 3 shirts and 6 skirts

if my answer helps please mark as brainliest.

3 shirts and 6 skirts I think

Don’t understand how to do this can somebody explain and answer, need badly

Answers

Whenever we are looking for an angle we have to use inverse trig. In this case, we have an adjacent side and a hypotenuse. From SOHCAHTOA, this tells me we have to use inverse cosine.

invcos (12/31) = 67 degrees

Please help will do anything thank you

Answers

Answer:

Step-by-step explanation:

a). Stock price arranged as arithmetic sequence will be,

   5, 8, 11, 14

b). Since, explicit formula of an arithmetic sequence is given by,

   [tex]a_n=a+(n-1)d[/tex]

   Here, [tex]T_n[/tex] = nth term of the sequence

   a = first term

   n = number of term

   d = common difference

   From the table attached,

   First term of the sequence 'a' = 5

   Common difference 'd' = 8 - 5 = 3

   Therefore, explicit formula for the given sequence will be,

   [tex]a_n=5+3(n-1)[/tex]

   [tex]a_n=2+3n[/tex]

c). Slope intercept form of the equation will be,

   y = 3x + 2  

d). Input out values for the graph of the given equation,

   x          0           1          2          3

   y          2           5         8          11

   By using this data we can graph the line.    

Please Help 15 points and brainliest for best answer thank you it's on the picture provided

Answers

Answer:

NO PICTURE

Step-by-step explanation:

A restaurant gets extremely busy during lunch (11:00 A.M. to 2:00 P.M.) and is trying to decide whether it should increase the number of waitresses from two to three. What considerations would you look at to determine whether simulation should be used to make this decision?

Answers

Answer:

Step-by-step explanation:

The two main considerations that you should take into account would be each employee's wage and the number of tables that they can handle simultaneously and efficiently. This would allow you to create a simulation in order to determine if adding an extra waitress would be the best option. Adding an extra waitress would be a worthwhile decision if it divides the workload evenly so that all the waitresses have sufficient tables to handle while also not being too much, and if the extra labor is bringing in more money than it costs.

The sum of two numbers is twenty-one. One number is nineteen less than four times the other. Find the numbers.

Answers

9514 1404 393

Answer:

  8, 13

Step-by-step explanation:

The given relationships can be put into two equations. Let x and y represent the numbers.

  x + y = 21 . . . . . their sum is 21

  y = 4x -19 . . . . .one is 19 less than 4 times the other

__

Substituting for y in the first equation, we get ...

  x + (4x -19) = 21

  5x = 40 . . . . . . . . . add 19

  x = 8 . . . . . . . . . . . divide by 5

  y = 4(8) -19 = 13

The two numbers are 8 and 13.

Which statement is the best definition of an angle

Answers

Answer:

In geometry, an angle can be defined as the figure formed by two rays meeting at a common end point. An angle is represented by the symbol ∠. ... Angles are measured in degrees, using a protractor.

Step-by-step explanation:

hurray

NEED THIS ASAP Solve each inequality and graph its solution

Answers

Answer:

x>22

Step-by-step explanation:

hope this helps

23 out of 5 of the students in my class have dark hair.
What percentage does not have dark hair?

Answers

Answer:

460%

Step-by-step explanation:

460 percent I think I’m not sure but hopefully ‍♀️

In which of the following triangles are AB || DE?


The photos are the options to choose from! <3

Answers

Answer:

1st triangle and 4th triangle

ten to the power of 8

Answers

Answer:

000000000

Step-by-step explanation:

Find the area of the octagon.

The area is _

Answers

The answer is easy just divide the product of 22 and 27

Show that the triangles are similar by comparing the ratios of the corresponding sides. Simplify your answer completely in order to be able to compare the ratios of the corresponding sides. Please help

Answers

Answer/Step-by-step explanation:

AC = 1.2

AB = 4

BC = 2.6

DF = 3

DE = 10

EF = 6.5

Thus:

[tex] \frac{DE}{AB} = \frac{10}{4} = \frac{5}{2} [/tex]

[tex] \frac{DF}{AC} = \frac{3}{1.2} = \frac{3*10}{1.2*10} = \frac{30}{12} = \frac{5}{2} [/tex]

[tex] \frac{EF}{BC} = \frac{6.5}{2.6} = \frac{6.5*10}{2.6*10} = \frac{65}{26} = \frac{5}{2} [/tex]

The ratio of their corresponding sides are all equal to ⁵/2. Therefore, both triangles are similar.

When you go swimming the pressure in your ears varies directly with the depth at which you swim. At 10 feet, the pressure is about 4.3 pounds per square inch (psi). a) Write the variation function. b) Predict the pressure at 50 feet. c) It is unsafe for amateur divers to swim where the pressure is more than 65 psi. How deep can an amateur swimmer safely swim (round to the nearest thousandth)

Answers

Answer:

(a) [tex]p = 0.43d[/tex]

(b) [tex]p = 21.5[/tex]

(c) [tex]d = 151.163[/tex]

Step-by-step explanation:

Given

Variation: Direct

Represent ear pressure with p and depth with d.

So, we have:

[tex]p\ \alpha\ d[/tex]

[tex]d =10[/tex] when [tex]p =4.3[/tex]

Solving (a): Write a variation

We have:

[tex]p\ \alpha\ d[/tex]

Write as an equation

[tex]p = kd[/tex]

Where: k is the constant of variation

[tex]d =10[/tex] when [tex]p =4.3[/tex]

So, we have:

[tex]4.3 = k * 10[/tex]

Make k the subject

[tex]k = \frac{4.3}{10}[/tex]

[tex]k = 0.43[/tex]

Substitute 0.43 for k in [tex]p = kd[/tex]

[tex]p = 0.43d[/tex]

Solving (b): Pressure at 50 feet

Substitute 50 for d in [tex]p = 0.43d[/tex]

[tex]p = 0.43 * 50[/tex]

[tex]p = 21.5[/tex]

The pressure is 21.5 pounds per square

Solving (c): The safe depth

The safe depth stops at a pressure of 65psi.

Substitute 65 for p in [tex]p = 0.43d[/tex]

[tex]65 = 0.43 * d[/tex]

Make d the subject

[tex]d = \frac{65}{0.43}[/tex]

[tex]d = 151.162790698[/tex]

[tex]d = 151.163[/tex] -- approximated

The safe distance for an amateur is 151.163ft

At a local print shop, 14 copies can be made for $4. At this rate, how much would it
cost to make 63 copies?
Fill out the table of equivalent ratios until you have found the value of x.
Copies Dollars
14
4
63
2

Answers

Answer:

18 dollars

Step-by-step explanation:

63 divied by 14 = 4.5 x 4 = 18

Suppose two angles of one triangle are congruent to two angles of another triangle. Using
the Triangle Sum Theorem, what could you conclude about the third angles in each
triangle? Justify your answer.

Answers

Answer:

عربيععربيعربيع   ربيعربيعربيعربي

Step-by-step explanation:

PLEASEEEEEEEEEEEE HELPPPPPPPPPP :(
will give brainliest

32,300 is 85% of what

Answers

Answer:

27455

Step-by-step explanation:

32300per of 85

is 27455

What is the equation?

Answers

Answer:

y - 4 = (1/3)(x - 9)  or x - 3y = -3

Step-by-step explanation:

Here we're told that the slope is 1/3 and that (9, 4) is a point on the line.  Use the point-slope formula  y - k = m(x - h).  Substitute 4 for k, 9 for h and 1/3 for m:

y - 4 = (1/3)(x - 9)  (point-slope formula)

3y - 12 = x - 9  (standard form of the same equation) = >

     -12 + 9 = x - 3y, or x - 3y = -3 (standard form)

HELP ASAP!! I need help thanks!!

Answers

Answer:

vertices

Step-by-step explanation:

I looked at stuff at it says vertices

Answer:

I think option 3rd is correct the vertices.

Step-by-step explanation:

B is joining the D and C together.  

Jon has $4.68 more than his brother, Amos.
If Jon has $79.32, how much money does Amos
have?

Answers

Answer:

74.8

Step-by-step explanation:

79.32-4.68= 74.8

Answer: The answer is 74.64. Amos has $74.64. Hope I helped :)

Step-by-step explanation:

!!!!15 EASY POINTS!!!!

What is 8x times x?

Answers

Answer:

8x²

Step-by-step explanation:

Whenever it's multiplication, you would count how many x's there are and raise the x to the power of the number of x's.

The multiplication of 8x and x is 8x^2.

When we have to do multiplication,

We have given 8x and x.

What is the meaning of multiplication?

Multiplication is defined as calculating the result of repeated additions of two numbers.

you would count how many x's there are and

Raise the x to the power of the number of x's.

and that is

[tex]=8\times x\times x[/tex]

There are two x therefore we have

[tex]=8x^2[/tex]

Therefore the multiplication of 8x and x is 8x^2.

To learn more about the multiplication visit:

https://brainly.com/question/10873737

A line with a slope of -4 passes through the point (-6,2). Which of the following is the equation of the line?
1) y = -6x - 4
2) y = 2x - 4
3) y = 4x + 2
4) y = -4x - 22

Answers

4 because -4 is the slope and that would be the only option left to choose.

When 2/3 tons of coal cost $13.50, what will in ton cost?

Answers

Answer:

20.25

Step-by-step explanation:

Divide 13.50 by 2 and then multiply by 3.

Solve the system of equations:

y=5x+3
2x+6y=50

Answers

x = 1 and y = 8 so (1,8) would be the correct answer

A (3,2) y b (2,-1) pasa por los puntos

Answers

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

Answer:

In the images is the graph of the line that passes through points A (3,2) and B (2, -1)

Also the equation of the line is y = 3x-7

Use two different applications Geogebra and Desmos

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

Respuesta

En las imágenes está la gráfica de la recta que pasa por los puntos A(3,2) y B(2,-1)

Además, la ecuación de esa recta es y=3x-7

Use dos aplicaciones distintas Geogebra y Desmos

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

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