Consider the right triangle below. Solve for x. Label the sides in the image as opposite, adjacent, or hypotenuse, then show your work

Consider The Right Triangle Below. Solve For X. Label The Sides In The Image As Opposite, Adjacent, Or

Answers

Answer 1
Answer:   x = 19.7  (choice C)

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

Explanation:

The reference angle is 24 degrees. Opposite that angle is the side 8 units long. The horizontal portion is unknown and it's the adjacent side.

Also unknown is the value of x which is the hypotenuse.

To summarize:

opposite = vertical leg = 8adjacent = horizontal leg = unknownhypotenuse = x

The hypotenuse is always opposite the 90 degree angle.

To tie together the opposite and hypotenuse, we'll use the sine ratio

sin(angle) = opposite/hypotenuse

sin(24) = 8/x

x*sin(24) = 8

x = 8/sin(24)

x = 19.6687 approximately

x = 19.7 after rounding to the nearest tenth.

Side note: your calculator needs to be in degree mode


Related Questions


If l || m, find the value of x

Answers

Answer:

x = 27°

Step-by-step explanation:

l ║ m    Given

(x + 72) + (3x) = 180°       If parallel line then same-side angles = 180°

4x + 72° = 180°

 4x = 180° - 72°

 4x = 108°

   x = 108°/4

   x = 27°

order from greatest to least 55% of 180 30% of 260 12% of 700

Answers

Answer: 55% of 180, 12% of 700, and 30% of 260.

Step-by-step explanation:

55% of 180 = 99…

30% of 260 = 78…

and 12% 700 = 84…

Answer:

55% of 180 > 12% of 700 > 30% of 260

Step-by-step explanation:

55% of 180 = 99

30% of 260 = 78

12% of 700 = 84

what is 1 over 5 divided by 6?

Answers

Answer:

[tex] \frac{1}{5} \div 6 = \frac{1}{5} \times \frac{1}{6} = \frac{1}{30} [/tex]

which one is a function

Answers

Answer:

Table B

Step-by-step explanation:

In order for a set of data to represent a function, there must be a pattern. In Table B , you can see that when you add or subtract 3 from the original input -8 (to get -5 or -11), that the values for -5 and -11 are matching. That signals there is a function.

Solve the equation.

a-6=13

Answers

19 I hope this helps

Answer:

a=19

Step-by-step explanation:

In this equation you want to solve for a

In this case you simply add 6 to 13 because -6 is attached to the a on the left side and you want a on it's own.

a - 6 = 13  

+6       +6       (-6+6 = 0) (6+13=19)

a = 19

Match each inequality with its solution set.

1.
5 - 3x ≥ 11
2.
1 + 3x ≥ -5
3.
5x + 7 ≥ 17
4.
2x + 1 ≤ 3

Answers

1.

5 - 3x >= 11

-3x >= 11-5

-3x >= 6

3x <= -6

x <= -6/3

x <= -2

x ∈ (-∞ ; -2]

2.

1 + 3x >= - 5

3x >= -5 - 1

3x >= -6

x >= -6/3

x >= - 2

x ∈ [-2 ; + ∞)

3.

5x + 7 >= 17

5x >= 10

x >= 10/5

x >= 2

x ∈ [2 ; + ∞)

4.

2x + 1 <= 3

2x <= 2

x <= 1

x ∈ (-∞ ; 1]

Good Luck

Let f(x) = x2 − 16. Find f−1(x)

Answers

Answer:

[tex]f^{-1}(x)=\pm\sqrt{x+16}[/tex]

Step-by-step explanation:

[tex]f(x)=x^2-16[/tex]

To find the inverse of this function, temporarily the f(x) with a y (or whatever else you want) and then solve for the x.

[tex]y=x^2-16\\y+16=x^2\\x=\pm\sqrt{y+16}[/tex]

Now, you can swap the variables again and write the function.

[tex]f^{-1}(x)=\pm\sqrt{x+16}[/tex]

What is the initial value of the equation shown?

y = −5x + 2

a
−5

b
−2

c
5

d
2

Answers

Answer:

Y = 2

Step-by-step explanation:

if you were looking for y's value

Convert the binary number 10101 to its base 10 equivalent.

12
21
22
31

Answers

10101₂ = 1×2⁴ + 0×2³ + 1×2² + 0×2¹ + 1×2⁰

10101₂ = 16 + 0 + 4 + 0 + 1

10101₂ = 21

Here see below

[tex]\\ \sf\Rrightarrow (10101)_2[/tex]

[tex]\\ \sf\Rrightarrow 1\times 2^0+0\times 2^1+1\times 2^2+0\times 2^3+1\times 2^4[/tex]

[tex]\\ \sf\Rrightarrow 1+4+16[/tex]

[tex]\\ \sf\Rrightarrow (21)_{10}[/tex]

What Is the answer to the two questions? 18 points! p.s. Brainliest

Answers

Answer:

Look at other page answer is there

Step-by-step explanation:

help please! very important

Answers

I believe the answer would be 74 cups or 91

Which values from the set negative 6, negative 4, negative 3, negative 1, zero, 2, satisfy this inequality?





Negative one half x, plus 3, is greater than or equal to 5.

Answers

Answer:

- 6

Step-by-step explanation:

- [tex]\frac{1}{2}[/tex] x + 3 ≥ 5 ( subtract 3 from both sides )

- [tex]\frac{1}{2}[/tex] x ≥ 2 ( multiply both sides by  2 to clear the fraction )

- x ≥ 4

Multiply both sides by - 1, reversing the symbol as a result of multiplying by a negative quantity.

x ≤ - 4

The only value from the set which satisfies the inequality is

x = - 6

A wheel has a radious of 50cm. How many times would the wheel go around if it rolled for 10km

Answers

First you must make sure all measurements are in the same value: You can choose either cm or km

Distance = 1,000,000 cm or 10 km

Radius = 50 cm or 0.0005 km

Distance/(2πR)

1,000,000/(2π*50)

1,000,000/314.059…….

Approx = 3183.1 Rotations

3. What percent of 150 is 15?
unknown:
Known:. ​

Answers

Answer:

Step-by-step explanation:

10 percent I believe you just divide 150 by 15! sorry if this is wrong

HELP FAST LAST QUESTION ON TEST!!! The front lawn of NPHS has a roped off area of 2x? - 11x + 15. What are the
possible dimensions of the roped off area?

Answers

Answer:the area is = the length*the width

2x^2-11x+15= (2x-5)* the width

you have to divide 2x^2 - 11 x + 15 at 2x-5

2x^2-11x+15   |  2x-5

-2x*2+5x                 x-3

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

/       -6x+15

       +6x-15

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

         /   /

the answer is X-3

Step-by-step explanation:

Graph the solution to the inequality on the number line.

p<20.2
help

Answers

Answer:

it is an open circle on 20.2 and is going to the left

Step-by-step explanation:

I hope this helps :)

Maths question algebra

Answers

Step-by-step explanation:

=

38.64=9.2h/2

=

38.64=4.6h

=

h = 38.64/4.6

h = 8.4

thats it

Solve using substitution.
3x + 2y = -13
X – 9y = 15

Answers

Answer:

Step-by-step explanation:

x = 7/11, y = -16/11

Help!!! Ill give 100 points!

Answers

Answer:

7/20

Step-by-step explanation:

Answer: if you calculate math yo7 would get 7/20

Step-by-step explanation:

6. David bought 3 DVDs for 4 books for $40 at a yard sale. Anna bought 1 DVD and 6 books for
$18. How much did each DVD and book cost?

Answers

Answer:

5

Step-by-step explanation:

just had this question

The graph of the function has slope of 1 and y-intercept of -6.​

Answers

Answer:

= -5

Step-by-step explanation:

1-6=5

1-6

{Subtract the numbers:} 1-6=-5

= -5

Find the slope for (3,0) and (4,1)

Answers

Answer:

The slope is 1

Step-by-step explanation:

the formula for finding slope is : y2-y1/x2-x1

2. Subsitute: (1)-(0)/(4)-(3) = 1/1 = 1

Therefore, the slope is 1.

Company A: A 2-column table with 5 rows. The first column is labeled hours with entries 5, 12, 20, 29, 42. The second column is labeled earnings (dollar sign) with entries 340, 404, 460, 530, 630. Company B: A 2-column table with 5 rows. The first column is labeled hours with entries 4, 9, 20, 32, 39. The second column is labeled earnings (dollar sign) with entries 125, 234, 450, 668, 828. If Amelia wants to make the maximum amount of money working only 22 hours per week, which company should she work for? Explain your answer. Company A: Using linear regression models from both data sets, she determines that it pays about $14 more. Company A: Using quadratic regression models from both data sets, she determines that it pays about $5 more. Company B: Using linear regression models from both data sets, she determines that it pays about $10 more. Company B: Using exponential regression models from both data sets, she determines that it pays about $8 more.

Answers

Answer:

86 & tends to increase

Step-by-step explanation:

Goodluck :)

Answer:

Company B: Using linear regression models from both data sets, she determines that it pays about $10 more.

Step-by-step explanation:

C/3

Find the equation of a line parallel to line y = 6 that passes through the point (-2,-1).

Answers

The line y = -1 parallel to line y = 6 that passes through the point (-2,-1).

Help figure this out quick!

Answers

The answer is:

12m + 5n is already factored. They cannot be factored any further because they are both rational numbers that do not have like terms.

I have no clue lol
I accidently put supplementary so ignore that.​

Answers

Answer:

5. Vertical

6. 133°

Step-by-step explanation:

These are vertical angles; Vertical angles are congruent. Therefore, x = 133°.

Write a function representing the line that includes the points (2,18) and (5,36).

Answers

Answer:

Step-by-step explanation: Find the y-intercept. Write the equation in slope-intercept form. Write an equation of the line that passes through each pair of points. 5. (4, −3), (2, 3)

y=6x+6 is the function representing the line that includes the points (2,18) and (5,36).

What is Slope of Line?

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

The given two points are (2,18) and (5,36).

m=36-18/5-2

=18/3=6

slope of line is 6.

Now we need to find the equation of line passing through (2,18) and (5,36).

We need to find the y intercept.

18=6(2)+c

18=12+c

18-12=c

6=c

So y intercept is 6

The equation of line is y=6x+6

Hence y=6x+6 is the function representing the line that includes the points (2,18) and (5,36).

To learn more on slope of line click:

https://brainly.com/question/14511992

#SPJ2

PLEASE NO LINKS AND NO NEGATIVITY

Answers

Answer:

1.25 customers / minute

Step-by-step explanation:

To find the unit rate of how many customers came in per 1 minute, just do 15/12 = 1.25

If the x axis is positive and the y is zero what’s quadrant or axis is it in?

Answers

Quadrant 1

Hope this helps!
Brainliest is much appreciated!

Question 1 (1 point)
Order the decimals from least to greatest.
10 3.06, 3.6, 3.066, 3.006
least
greatest
10) LEAST
GREATEST
Blank 1:

Answers

Answer:

  3.006, 3.06, 3.066, 3.6, 10

Step-by-step explanation:

Numbers written in a place-value system are compared left-to-right. If the digits with the same place-value multiplier being compared are the same, then the next digits to the right need to be compared.

The number 10 is the greatest. (None of the others have a digit in the 10s place.)

The number 3.6 is the next greatest. (6 in the tenths place is the largest digit there.)

The number 3.066 follows that, then 3.06.

3.006 is the least.

In order from least to greatest, the numbers are ...

  3.006, 3.06, 3.066, 3.6, 10

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