Find the length of side x in simplest radical form with a rational denominator.
60
X
5
30

Find The Length Of Side X In Simplest Radical Form With A Rational Denominator.60X530

Answers

Answer 1

There are three commonly used trigonometric identities.

Sin x = 1/ cosec x

Cos x = 1/ sec x

Tan x = 1/ cot x or sin x / cos x

Cot x = cos x / sin x

Sin 30 = 5/x

Sin 30 = 1/2

x = 10

The length of the side x is 10.

What are trigonometric identities?

There are three commonly used trigonometric identities.

Sin x = 1/ cosec x

Cos x = 1/ sec x

Tan x = 1/ cot x or sin x / cos x

Cot x = cos x / sin x

We have,

The length of side x can be calculated using the trigonometric identities.

We know that,

Sin x = Perpendicular / Hypotenuse

Sin 30 = 5 / x

1/2 = 5/x

Multiply 2 on both sides.

1= 10/x

x = 10

Thus,

The length of the side x is 10.

Learn more about trigonometric identities here:

https://brainly.com/question/14746686

#SPJ2


Related Questions

Help me please! I am in desperate need

Answers

Answer:

C. The coefficients of [tex]x^ay^b[/tex] and [tex]x^by^a[/tex] are equal.

Step-by-step explanation:

The binomial theorem is given as:

[tex](x+y)^n=\sum_{k=0}^{n} \binom{n}{k}x^{n-k}y^k[/tex]

[tex]n-k+k=n[/tex], and the coefficient of these terms are represented by [tex]\binom{n}{k}[/tex].

*Note [tex]\binom{n}{k}=\binom{n}{n-k}=\frac{n!}{k!(n-k)!}[/tex]

Therefore the coefficients of [tex]x^ay^b[/tex] and [tex]x^by^a[/tex] are equal.

One-third x + one-sixth y = 2. When x is 3, 1 x + StartFraction 3 Over 6 EndFraction y = 6. One-half x + three-fourths y = negative 3. When x is negative 2, negative 1 x minus StartFraction 6 Over 4 EndFraction = 6. Negative 1 y = 12.
Continue solving the system of equations.

What is the solution to the system?

(
,
)

Answers

Answer:

(12, -12)

Step-by-Step:

I got it right on Edge 2021

Answer:

its 12,-

12

Step-by-step explanation:

what is the the y intercept of the function f(x)=-2/9X+1/3?​

Answers

Answer:

1/3

Step-by-step explanation:

the y-intercept is when x=0, so, if x was 0, y is1/3

plz brainliestt

Answer:

It is 1/3

Step-by-step explanation:

hope it helps ^^

QUICK HELP GIVING BRAINLIEST AWAY

Answers

Answer:

-6

Step-by-step explanation:

8 - 2 = 6

But, its has - in it so with that being said, its    -8 minus -2 = -6

Answer:

-6

Step-by-step explanation:

hope this helps!

A drag racer has two parachutes, a main and a backup, that are designed to bring the vehicle to a stop (combined with the brakes) after the end of a run. Suppose that the main chute deploys with probability 0 . 95, and that if the main fails to deploy, the backup deploys with probability 0.999.

Required:
a. What is the probability that one of the two parachutes deploys?
b. What is the probability that the backup parachutes deploys?

Answers

Answer:

a. 0.99995 = 99.995% probability that one of the two parachutes deploys

b.0.04995 = 4.995% probability that the backup parachutes deploys

Step-by-step explanation:

a. What is the probability that one of the two parachutes deploys?

Either the first deploys(with probability 95%), or the first does not deploy(probability 5%) and the second does(probability 99.9%). So

[tex]p = 0.95 + 0.05*0.999 = 0.99995[/tex]

0.99995 = 99.995% probability that one of the two parachutes deploys

b. What is the probability that the backup parachutes deploys?

The first does not deploy(probability 5%) and the second does(probability 99.9%). So

[tex]p = 0.05*0.999 = 0.04995[/tex]

0.04995 = 4.995% probability that the backup parachutes deploys

Copy the proof on paper, mark the given diagram, fill in the blanks to fill in the proof

Statement Reason
1.
LA ≅ ?? Given

Given
2.
TA ≅ ??? Reflex Prop.

3. ∠LAT≅∠ ??? ???

4. △LAT≅△ ??? ???

Answers

Answer:

I don't know all of these, but I do know some.

Step-by-step explanation:

1. LA ≅ SA Given

2. I'm sorry I don't know this

3. ∠LAT≅∠ SAT and Def of angle bisector for the reason.

4. △LAT≅△ TAS and I believe it's SAS for the reason.

Answer:

Answers in explanation

Step-by-step explanation:

LA ≅ SA              |  Given

TA ≅ TA              |  Reflexive Property

∠LAT ≅ ∠SAT    |  Definition of angle bisector

△LAT ≅ △SAT   |  SAS

HELP!
What is the scale factor !

Answers

Answer:

A scale factor is usually a decimal which scales, or multiplies, some quantity. In the equation y = Cx, C is the scale factor for x. C is also the coefficient of x, and may be called the constant of proportionality of y to x.

Select all of the following tables which represent y as a function of x.

Answers

Answer:

the second and third one

Step-by-step explanation:

two y's that are the same can't have 2 outcomes

here’s the other one

Answers

Answer:

it is A

Step-by-step explanation:

Find the value of X.

Answers

All 3 sides of the triangle are the same, which means all 3 inside angles are the same. Each inside angle is 60 degrees.

We now have 3x = 60

Divide both sides by 3:

x = 60/3

x = 20

Answer:

As in the given figure, all the sides are equal i.e., 5 units

It is a equilateral triangle.

In equilateral triangle all the angles are 60°.

[tex]3x = 60 \\ x = \frac{60}{3} \\ \boxed{x = 20}[/tex]

20 is the right answer.

In ΔHIJ, the measure of ∠J=90°, the measure of ∠I=60°, and JH = 80 feet. Find the length of IJ to the nearest foot.

Answers

Answer:

46.2

Step-by-step explanation:

46.188= 46.2

С
a
Find all the missing elements:
B
A = 40°
a = 8
А
b = 7
b
B = [?]° C = [ ]° c = [ ]
Round to the nearest tenth.
C С

Answers

Answer:

B=34.2

C=105.8

c=12.0

Step-by-step explanation:

find B using the sine rule

(sin40÷8)=(sinB÷7)

rearrange

sin B= (sin40x7)÷8

sin B=0.562

make sure to use your calculator

then press shift sin to find B

B= 34.2°

to the nearest tenth means to 1 decimal place

sum of angles in a triangle is 180

so 180-(40+34.2)=105.8°=C

use sine rule again to find c

(sin105.8÷c)=(sin40÷8)

rearrange

c= (sin 105.8x8)÷sin40

c=12.0

PRE CALC HELP!!! 100 PTS AND BRAINLIEST
(the one I chose isn't correct I just accidentally pressed it)

Answers

Hello!

[tex]\large\boxed{\frac{\pi }{4} < x < \frac{5\pi }{4}}[/tex]

To begin, we can solve the inequality:

sin(x) > cos(x)

Divide both sides by cos(x):

sin(x) / cos(x) > 1

tan(x) > 1

x > π/4

However, we can also solve it the other way to produce the end to the interval:

sin(x) > cos(x)

1 > cot(x)

x < 5π/4

Therefore, sin(x) > cos(x) on the interval π/4 < x < 5π/4.

Answer:

π/4 < x < 5π/4.

Help plz:)))I’ll mark u Brainliest

Answers

Answer:

Scale factor = 1.5

Step-by-step explanation:

Formula for the scale factor,

Scale factor = [tex]\frac{\text{Measure of one side of the Image}}{\text{Measure of one side of the preimage}}[/tex]

In this question, image is triangle Y and preimage is triangle X.

Scale factor of X to Y = [tex]\frac{15}{10}[/tex]

                                    = 1.5

Therefore, scale factor = 1.5 is the answer.

How do you write 3% as a fraction

Answers

Answer: 3/100

Step-by-step explanation:

Answer:

3/100

Step-by-step explanation:

Find the missing angle m

Answers

Answer:

m∠BAC=135°

Step-by-step explanation:

360- 84=276

276-141=135

Hope this helps!

Please mark me brainliest if you can. :)

Lin runs 5 laps around a track in 8 minutes.
a. How many minutes does it take to run 1 lap?
How many laps did Lin run in 1 minute?


Please hurry up(btw you will get the brainliest)‍♂️

Answers

Answer:

To run one lap Lin takes 1.6 minutes.

Step-by-step explanation:

To find this answer you would do 8 divided by 5. Always remember when dividing time goes first unless the instructions / directions / your teacher says differently. So, when you do 8 divided by 5 the answer you get is 1.6, and there is your answer. Also to check your answer you can do 1.6 times 5, and you get 8, so you know that 1.6 is the correct answer.

How to Simplify (7x+2)+(x+8)-2x

Answers

Answer:

Step-by-step explanation:

The answer to this should be 2(3x+5)

The simplified answer of this is 6x+10

I hope I helped you out.

Answer:

P: ()

E: 5^4 (example)

M:x

D: ÷

A:+

S:-

Ted's taxi service has cabs that can seat 4 people and vans that can seat 15 people. The taxi service can transport a maximum of 134 people in its 17 units. How many vans does Ted's Taci Service have in it's fleet?

A. 19
B. 11
C. 9
D. 6​

Answers

Answer:

D. 6

Step-by-step explanation:

Consider the figure below:
20
16
6
Determine the length of TZ.
Do not include spaces, units, or commas in your response.
Enter answer here. Do not include spaces or units.

Answers

Answer:

TZ = 24

Step-by-step explanation:

Similar Triangles

If two triangles are similar, then:

* All the corresponding side lengths are proportional by the same scale factor

* All the internal angles are congruent.

The image provided in the question has two similar triangles TYZ and TWX. We have completed the shape with a variable p =TZ, whose value will be determined by applying the first similarity condition above.

The ratio between the heights is 20:16, and the proportion between the bases is (6+p):p, thus:

[tex]\displaystyle \frac{6+p}{p}=\frac{20}{16}=\frac{5}{4}[/tex]

Cross-multiplying denominators:

4(6 + p) = 5p

24 + 4p = 5p

Solving for p:

p = 24

Then, TZ = 24

Kendrick walked of a mile in of an hour. How fast did he walk? _____miles per hour​

Answers

Answer:

He walked at 1 mile per hour

Step-by-step explanation:

Answer:

He walked at 1 mph

Step-by-step explanation:

Find the measure of angle B
(9x+2) (5x-4)

Answers

Answer:

119

Step-by-step explanation:

[tex]due \: to \: Corresponding \: angles \\ (5x - 4) + (9x + 2) = 180 \\ 14x = 182 \\ x = 13 \\ \\ 9.13 + 2 = b \\ b = 119[/tex]

Answer:

In the given figure, we know that (angle B+angle C)=180°.

[tex](9x + 2) + (5x - 4) = 180 \\ 14x - 2 = 180 \\ 14x = 182 \\ \boxed{x = 13}[/tex]

Angle B = (9x+2) = (9×13+2) = (117+2) = 119°.

What is the slope of a line that is perpendicular to the line shown on the graph?​

Answers

The answer is C. 1/2

Hope this helps!

Mia cycled 12 miles over two days.
She cycled 7 miles on one day.
How many miles did she cycle on the other day?

 19 miles?
7 miles?
5 miles?
12 miles?​

Answers

She cycled 5 miles on the second day
5 miles I think because

anyone can u please help me? lol

Answers

Answer:

-1/30

Step-by-step explanation:

just subtract then divide.

(this is simplest form)

        nvm

my bad, i forgot some steps you can delete this answer if wanted.

What is the vertex for y=x^2-3+2

Answers

Answer:

-1

explanation:

because I used a graphing calculator

six less than six times a number is 12​

Answers

Answer:

x = 3

equation: 6x - 6 = 12

Step-by-step explanation:

6x - 6 = 12

aka:

6x + -6 = 12

+6. +6

6x = 18

/6. /6

x = 3

check: 6(3) - 6 = 12

18 - 6 = 12

12 = 12

6x-6=12
6(3)-6= 12
18-6=12
12=12
The number is 3

If a leaky faucet drips one ounce of water per minute approximately how many gallons per day is that

Answers

Answer:

Step-by-step explanation:

1hr=60mins

24hrs in a day

1hr=60oz

60oz x 24hrs =1440 oz

1440oz = 11.25gal

PLEASE MARK BRAILIEST

Please help and thank you

Answers

Answer:

in lowest term it's

Step-by-step explanation:

10/33

Answer:

10 : 33

Step-by-step explanation:

Both 20 and 66 are multiples of 2.

20 = 2 x 10

66 = 2 x 33

So, this ratio becomes 2 x 10: 2 x 33

Dividing both sides by 2 gives us 10:33, which can't be simplified further.

Solve the triangle given that a=19 b=16, c=11.

Answers

Answer:

The angles of the triangle are approximately 87.395º, 57.271º and 35.334º.

Step-by-step explanation:

From statement we know all sides of the triangle ([tex]a[/tex], [tex]b[/tex], [tex]c[/tex]), but all angles are unknown ([tex]A[/tex], [tex]B[/tex], [tex]C[/tex]). (Please notice that angles with upper case letters represent the angle opposite to the side with the same letter but in lower case) From Geometry it is given that sum of internal angles of triangles equal 180º, we can obtain the missing information by using Law of Cosine twice and this property mentioned above.

If we know that [tex]a = 19[/tex], [tex]b = 16[/tex] and [tex]c = 11[/tex], then the missing angles are, respectively:

Angle A

[tex]a^{2} = b^{2}+c^{2}-2\cdot b\cdot c \cdot \cos A[/tex] (1)

[tex]A = \cos^{-1}\left(\frac{b^{2}+c^{2}-a^{2}}{2\cdot b\cdot c} \right)[/tex]

[tex]A = \cos^{-1}\left[\frac{16^{2}+11^{2}-19^{2}}{2\cdot (16)\cdot (11)} \right][/tex]

[tex]A \approx 87.395^{\circ}[/tex]

Angle B

[tex]b^{2} = a^{2}+c^{2}-2\cdot a\cdot c \cdot \cos B[/tex] (2)

[tex]B = \cos^{-1}\left(\frac{a^{2}+c^{2}-b^{2}}{2\cdot a\cdot c} \right)[/tex]

[tex]B = \cos^{-1}\left[\frac{19^{2}+11^{2}-16^{2}}{2\cdot (19)\cdot (11)} \right][/tex]

[tex]B\approx 57.271^{\circ}[/tex]

Angle C

[tex]C = 180^{\circ}-A-B[/tex]

[tex]C = 180^{\circ}-87.395^{\circ}-57.271^{\circ}[/tex]

[tex]C = 35.334^{\circ}[/tex]

The angles of the triangle are approximately 87.395º, 57.271º and 35.334º.

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