Select the correct answer.
What is the value of x in the triangle?

Select The Correct Answer.What Is The Value Of X In The Triangle?

Answers

Answer 1

Answer:

D. 5√3

Step-by-step explanation:

tan 30° = x/15

or, 1/√3=x/15

or, x= 15/√3 = 5√3

Answer 2

Answer:

D

Step-by-step explanation:

Using the tangent ratio in the right triangle and the exacy value

tan30° = [tex]\frac{1}{\sqrt{3} }[/tex] = [tex]\frac{\sqrt{3} }{3}[/tex] , then

tan30° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{x}{15}[/tex] = [tex]\frac{\sqrt{3} }{3}[/tex] ( cross- multiply )

3x = 15[tex]\sqrt{3}[/tex] ( divide both sides by 3 )

x = 5[tex]\sqrt{3}[/tex] → D


Related Questions

If triangle ABC is a right triangle AB is 21, BC is 42, and AC is 47, which of the following can be used to find the measure of Angle A? Select all that apply.
look at pic below for answer options:

Answers

Answer:

Sin(A) = 42/47

Cos(A)=21/47

Tan(A)=42/21=2

Drag the tiles to the boxes to form correct pairs. Match the pairs of equivalent expressions. please help ​

Answers

Answer:

(-9/2t + 3) +( 7/4t + 33) = -11/4t + 36

5(2t + 1)+(-7t +28) = 3t+ 33

Step-by-step explanation

Those are the ones i could solve hope this helps!

1. Problem  

(-9/2t + 3) +( 7/4t + 33)

-9/2t + 7/4t

-18/4t +7/4t= -11/4t

3+ 33= 36

-11/4t + 36

2. Problem

5(2t + 1)+(-7t +28)

10t + 5 + ( -7t +28)

10t - 7t= 3t

5+ 38= 33

which is represented by this model

Answers

Answer:

C

Step-by-step explanation:

Because 3 * 3/6 or 3* 1/2 equals 1.5 or 1 and 1/2 and that is what is shown on the graph!

Hope this Helps!

The answer is a I think

trig///HELPP PLEASE!! i’ve been stuck on this for 30 minutes!!

Answers

Answer: There are two solutions and they are

theta = 135

theta = 225

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

Explanation:

Recall that x = cos(theta). Since the given cosine value is negative, this indicates x < 0. Theta is somewhere to the left of the y axis, placing it in quadrant 2 or quadrant 3.

It turns out there are two solutions, with one solution per quadrant mentioned above. Use the unit circle to find that the two solutions are:

theta = 135

theta = 225

You're looking for points on the unit circle that have x coordinate equal to x = -sqrt(2)/2. Those two points correspond to the angles of 135 and 225, which are in quadrants 2 and 3 respectively.

--------

I recommend using your calculator to note that

-sqrt(2)/2 = -0.70710678

cos(135) = -0.70710678

cos(225) = -0.70710678

The decimal values are approximate. Make sure your calculator is in degree mode. Because those three results are the same decimal approximation, this indicates that cos(135) = cos(225) = -sqrt(2)/2.

The coordinates of point S are (-5, 2). In which quadrants does point S lie?

Answers

By the 2 because it goes up more than 5 or put 5.2 on 7

A trapezoid has an area of 140 square centimeters with bases of 12 and 10 centimeters. What is the length of the height? Round to the nearest tenth place.

Answers

Answer:

12.7 cm

Step-by-step explanation:

Area of a trapezium = 1/2 x ( a + b) x height

a and b represents the bases

140 = 1/2 x (12 + 10) x h

140 = 11h

h = 140 / 11

h = 12.727 cm

h = 12.7 cm to the nearest tenth

the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero

HELPP PLEASEEE
NO LINK!!

Answers

Answer:

the graph increases

Step-by-step explanation:

I need help ASAP!!!! No links

Answers

Answer:

c

Step-by-step explanation:

Find the area of this triangle:
9m
9 m
16 m
15 m

Answers

Answer:

I’m doing it just a sec

Step-by-step explanation:

14. Michelle purchased three stuffed bears for the price shown. The sales tax on her
purchase was 8.5%. What was the total cost for the stuffed bears? Round to the nearest
cent.
$9.49
w
F. $10.30
G. $30.89
H $80.67
3. $2.42

Answers

Answer: $30.89

Step-by-step explanation: you time $9.49 by three (28.47) then you find 8.5% of that total (2.41995) and then you add that to the total for the three bears and round to the nearest cent

Please answer quickly with explanation. I am in need of major help.


Suppose you work at a local radio station. You are in charge of a $180 budget for
new tapes and CDs. Record companies will give you 21 promotional (free) CDs. You
can then buy tapes for $8 and CDs for $12.
a. Write a linear inequality that models this situation.
Answer
b. Graph the inequality. Make sure to use proper scales and to label your axes

Answers

Answer:

0---22.5   and    21---36

Step-by-step explanation:

you will always have 21 free CDs so you can put a closed circle on 21 then you can have a max of 15 CDs (180/12) soo put another closed circle on 36

now time for tapes, which is easier, the minimum is 0 and the max is 22.5. Now put closed circles on each and you're done. Except that .5 might get you in trouble, use your own discretion on rather to leave it on the .5 or round. I don't know what your teacher is looking for so I will let you decide.

What is the total surface area of the rectangular prism below?

Answers

Answer:

solution given:

length[l]=3 in

breadth [b]=5in

height [h]=8in

total surface area of the rectangular prism=?

we have

total surface area of the rectangular prism

=2[lb+bh+lh]

=2[3*5+5*8+3*8]

=158 in²

total surface area of the rectangular prism is 158 in².

Answer:

158

Step-by-step explanation:

formula is 2(hL+wh+lw)

Length- 3

width- 5

height - 8

Substitue values and get answer.

2 (24+ 40+15)

2 (79)

= 158

have a wonderful day!

Explain the benefits of data analysis in weather systems.

Answers

Made open and interprated in the right way! Weather warnings, forecasts to protect life and property. Weather's forecast is important to agriculture and therefore traders within commodity markets.

Huge volumes of data on the present state of environmental conditions, notably temperatures, moisture, and wind, are gathered in order to predict weather forecasts, and via the atmospheric procedure, meteorology data analysts assess how the atmosphere will change.

Barometers. Measuring devices are used by meteorologists to monitor compressed air. A barometer can hold water, air, or mercury, although most barometers, like thermometers, have become digital. A shift in barometric pressure signals that the weather is about to change.

Learn more:

https://brainly.com/question/19015263?referrer=searchResults

Can someone please answer this ASAP. (No FAKE LINKS)

Answers

Half of the text is covered...

Answer:

Good Luck!

Step-by-step explanation:

You would add 16 to both side in the attempt of completing the square

Step 1: Move any constant number (this case, it's 35) to the other side

Step 2: You will have a format of ax2 + bx = c, where your a = 1, b = 8, and c = 35

*a must always be 1*

Step 3: Divide b by 2 and then square that number. Your b = 8, so 8/2 is 4. Squaring 4 gives you 16.

Hence, that's why you add 16 to both side from your question.

Help!! NO LINKS! Below is the graph of
y= f(x). Graph y = -f(x).​

Answers

Answer:

y=-f(x) is a reflection over the x axis of y=f(x) this will make the graph like this down below.

Step-by-step explanation:

If this helps please mark as brainliest

The fun guys game rental store charges an annual fee of $5 plus $5.50 per game rented. The game bank charges an annual fee of $20 plus $2.50 per game. for how many game rentals will the cost be the same at both stores?​

Answers

Answer: 5


You would need to buy 5 game rentals for the cost to be the same at both stores
Answer :


5 i just wanted to answer

are -2 and 2 equivalent?

Answers

Answer:

No

Step-by-step explanation:

-2 is 2 places left of the origin while 2 is 2 places right.

Solve for x, given: x2−4x+29=0

Answers

Answer:

X= 5i-2, x=5i-2

Step-by-step explanation:

Step-by-step explanation:

[tex] {x}^{2} - 4x + 29 = 0 \\ x = \frac{ - b± \sqrt{ {b}^{2} - 4ac } }{2a} \\ x = \frac{4± \sqrt{ - 100} }{2} \\ x = \frac{4±10i}{2} \\ x = 2±5i \\ x = 2 + 5i \: \: or \: \: x = 2 - 5i[/tex]

hello please help i’ll give brainliest

Answers

Answer:

Option B) His teachings became government philosophy.

Answer:

His teachings became government philosophy ..

hope it is helpful to you.

PLEASE HELP I AM BEGGING YOU EXTRA POINTS AND BRAINLIEST I DONT UNDERSTAND NO WORK JUST ANSWER :)!!!!!!!!!!!!!!!!!!!!!!!1

Answers

Answer:

1.    x > -3

2.    8 > 0.5

3.    x < -4

6. x < 2

7. Yes

8. No

9. Yes

10. Yes

1. p=packs of gum

inequality = 35 > 10+2p

Benny can buy 6 packs of gum.

Actividades.
Iniciamos la clase leyendo atentamente la
siguiente situación
Joaquin compró un tanque para agua que tiene
forma de prisma rectangular, cuyas dimensiones
son √5m, √6m y √ 10m


¿Cual es el volumen del tanque de agua?
. Ancho- √5m
Largo - √6m
Altura - √10m

Answers

Answer:

ancho de ese culotote

Step-by-step explanation:

(No linkssss)Pls help me if your good at math I’ll mark brainliest if correct

Answers

The answer should be D bc the others don’t make sense. Hope this helps!

Two numbers have a sum of 18, and 4 times the first number minus the second number is equal to 17. What is the smallest number?

Answers

Answer:

The smallest number is 7

Step-by-step explanation:

Using simultaneous equation;

x+y = 18.....(1)

4x-y = 17.....(2)

from equation (1)..

x+y = 18

y = 18-x...(3)

substitute y into equation (2)

4x-y = 17

4x-(18-x) = 17

4x-18+x = 17

4x+x = 17+18

5x = 35

x = 35÷5

x = 7

substitute x into equation (3)

y = 18-x

y = 18-7

y = 11

Therefore; x=7

y=11

11+7=18

(4×7)-11=17

the smallest number is 7

(x²- 3x) + (-2x²+ 5x - 3)

Answers

Answer:

[tex]-x^{2} +2x-3[/tex]

Answer :

-2x^2 + 2x - 3

what is the volume of the rectangular prism​

Answers

Answer:

it might be 7yd^3 im not to sure.

Step-by-step explanation:

I need help!!!! Please

Answers

the answer is

y≥2x/5+2

Step-by-step explanation:

we moved the y to the right site and the -10 to the left site

so we had

2x+10≤5y

and then we devided by 5

2x/5+10/5≤y

y≥2x/5+2

hopefully its correct

Answer:  Choice D

[tex]y \ge \frac{2}{5}x +2\\\\[/tex]

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

Work Shown:

[tex]2x - 5y \le -10\\\\-5y \le -2x-10\\\\y \ge \frac{-2x-10}{-5} \ \text{ ... see note1 below}\\\\y \ge \frac{-2x}{-5} - \frac{10}{-5}\\\\y \ge \frac{2}{5}x +2 \ \text{ ... answer is choice D}\\\\[/tex]

Note1: when dividing both sides by a negative number, the inequality sign flips.

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

Here's another approach that doesn't involve dividing both sides by a negative number.

[tex]2x - 5y \le -10\\\\2x \le -10+5y\\\\2x +10\le 5y\\\\5y \ge 2x+10 \ \text{ .... see note2 below}\\\\y \ge \frac{2x+10}{5}\\\\y \ge \frac{2x}{5} + \frac{10}{5}\\\\y \ge \frac{2}{5}x +2\\\\[/tex]

Note2: I swapped the left and right sides. Doing this swap means that the inequality sign must flip as well.

one solution of x^2 - 64 = 0 is 8. what is the other solution​

Answers

Answer:

- 8

Step-by-step explanation:

Given

x² - 64 = 0 ( add 64 to both sides )

x² = 64 ( take the square root of both sides )

x = ± [tex]\sqrt{64}[/tex] = ± 8

Solutions are x = 8 and x = - 8

please some help me .

OPTIONS: 75 degrees, 30, 90, or 45

Answers

Answer:

x = 45

Step-by-step explanation:

x + 45 + 2x = 180

3x + 45 = 180

3x = 135

x = 45

Answer:

x = 45

Step-by-step explanation:

We know that the three angles of a triangle add up to 180. So we can add all the points equal to 180 to find the value of x.

a + b + c = 180

45 + x + 2x = 180

Combine terms.

45 + 3x = 180

Subtract 45 from both sides.

3x = 135

Divide both sides by 3 to get

x = 45.

To prove this, put x into the original addition of the angles.

45 + x + 2x = 180

Substitute 45 into x.

45 + 45 + 2(45) = 180

Multiply 2 and 45.

45 + 45 + 90 = 180

Add terms.

180 = 180.

Free point.s! Just answer these two questions and write your first/last name down I am creating a project. I am doing. probability one. ​

Answers

Answer:

Rhiannon Taylor :)

Step-by-step explanation:

I do not speak spanish and I love spicy chips!

16. What is the image of (2, -2) rotated 270° counterclockwise about the origin?
A (-2,-2)
B (-2, 2)
C (2,-2)
D (2, 2)
w

Answers

it’s D. a 270* rotation is basically switching them around. i cant rlly explain it
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