Trigonometry help finding the value of x

Trigonometry Help Finding The Value Of X

Answers

Answer 1

Answer:

[tex]5\sqrt{3}[/tex] or 8.66

Step-by-step explanation:

use tan:

tan = [tex]\frac{opposite}{adjacent}[/tex]

⇒ tan 60 = [tex]\frac{x}{5}[/tex]

tan of 60 is 1.73

⇒ 1.732 = [tex]\frac{x}{5}[/tex]

multiply 5 on both sides

⇒ 1.732 x 5 = [tex]\frac{x}{5}[/tex] x 5

⇒ 8.66

Answer 2

Answer:

[tex]\boxed {\boxed {\sf D. \ 5 \sqrt 3 \ or \ 8.66}}[/tex]

Step-by-step explanation:

Remember the 3 main trigonometric ratios:

sinθ= opposite/hypotenuse cosθ= adjacent/hypotenuse tanθ= opposite/adjacent

We are given the 60 degree angle. 5 is adjacent to the angle and x is opposite. Therefore, we must tangent.

[tex]tan \theta= \frac {opposite}{adjacent}[/tex]

[tex]tan60=\frac {x}{5}[/tex]

Since we are solving for x, we must isolate that variable. It is being divided by 5 and the inverse of division is multiplication. Multiply both sides by 5.

[tex]5(tan60)=\frac {x}{5} *5[/tex]

[tex]5(tan60)=x\\5*$$1.73205080757= x\\8.66025403784=x[/tex]

If we round to the nearest hundredth, the 0 in the thousandth place tells us to leave the 6.

[tex]8.66 \approx x[/tex]

x is about 8.66 or 5√3, which is choice D.


Related Questions

How many toothpicks make a triangle? Two triangles? Write
an expression that represents the number of toothpicks
needed to make x triangles that appear side-by-side in a
single row, as shown. Explain your reasoning,

Answers

Answer:

3 toothpicks make a triangle  x =3

Step-by-step explanation:

You have 5 3/4 cups of sunflower seeds and 1 1/4 cups of peanuts for birdseed. You use 2/3 of the total mixture each week. How many weeks your birdseed mixture last

Answers

Answer:

Step-by-step explanation:

The bird food lasts 1½ weeks.

Your birdseed mixture last till 10 and a half weeks.

What is an improper fraction?

A fraction that has the numerator higher than or equal to the denominator is said to be an improper fraction.

Given:

You have 5[tex]\frac{3}{4}[/tex] cups of sunflower seeds and 1[tex]\frac{1}{4}[/tex] cups of peanuts for birdseed.

The total mixture,

= 5[tex]\frac{3}{4}[/tex] + 1[tex]\frac{1}{4}[/tex]

= 23/4 + 5/4

= 28/4

= 7 cups.

You use 2/3 of the total mixture each week.

That means,

the number of weeks,

= 7 x 3/2

= 21/2

= 10.5 weeks.

Therefore, the mixture will last till 10 and a half weeks.

To learn more about the improper fraction;

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8 - 5xt-8х - 5x
how do I solve this?​

Answers

Answer:

[tex]8 - 5xt - 13x[/tex]

Step-by-step explanation:

1) Collect like terms.

[tex]8 - 5xt + ( - 8x - 5x)[/tex]

2) Simplify.

[tex]8 - 5xt - 13x[/tex]

Therefor the answer is 8 - 5xt - 13x.

Find the value of x. Round to the nearest degree as needed.

Answers

9514 1404 393

Answer:

  x° = 59°

Step-by-step explanation:

The mnemonic SOH CAH TOA is intended to remind you of the trig relations. The one applicable here is ...

  Tan = Opposite/Adjacent

  tan(x°) = 5/3

  x° = arctan(5/3) ≈ 59.04°

The value of x is about 59.

what is the slope of this line, simplify if possible!

Answers

Answer:

The slope is 0

Step-by-step explanation:

the line is straight, so the slope is 0. I hope this helps

work out the volume of this hemisphere with diameter 9.6 cm

Answers

Answer:

Please refer to the attachment

subtract -10 from 100​

Answers

Answer:

110

Step-by-step explanation:

Just trust me mate im in 7th grade

Help me? I’m giving brain

Answers

Answer:

4.31 as said

Step-by-step explanation:

Answer:

it could be 4.30 because when u divide those two the answer is 4.3057142857, and because the number in the hundreths place is just a 0 its probably just 4.30 i could be wrong sorry

What is the initial value of e=3h+200.

Answers

Answer:h=e-200/3

Step-by-step explanation:

please could u help me with this?​

Answers

43.68. You multiply the base by the height

Kathryn bought a magazine for $5 and eight erasers. She spent a total of $45. How much did each eraser cost?

Answers

The answer to your question is 17

f(x) = 5 – 0.2c and g(x) = 0.2(x + 5).

Answers

Answer:

i recommend math-way's they give you step by step or if you are work on Big ideas work use Slader they have all the answers  

Step-by-step explanation:

6(1 - 6x) < 38 - 4x
What is the answer to this equation.

Answers

Answer:

x>-1

Step-by-step explanation:

Answer:

x > -1

Step-by-step explanation:

Can someone pls help me

Answers

Answer:

10

Step-by-step explanation:

Answer: its an acute angle so its 90

Step-by-step explanation:

how to write "The product of a number and -2 increased by 10"? ​

Answers

(x•-2)+10 I’m pretty sure
Possible ways

2(x) + 10

x • 2 + 10

x(2) + 10

1. x-y=1
x+y=-5
2. x-4y=10
2x+y=2
3. -5x+y=0
x+y=6
4. y=6-2x
y=4
5. 2y=16
4x-y= 4
6. x=y -4
3x+y=12
7. y- 2x=-6
5x-y= 9
8. 3y+x= 2
y-x=-6

Answers

Answer:

what is the question write it in thecomments and ill answer

Answer:

1.) (y+1)+y=-5

2y=-6

y=-3

x+(-3)=-5

x=-2

plug in to check if it works

2.) 2(4y+10)+y=2

9y+20=2

9y=-18

y=-2

x-4(-2)=10

x+8=10

x=2

3.) -5(-y+6)+y=0

5y-30=0

5y=30

y=6

x+(6)=6

x=0

4.) 4=6-2x

-2=2x

x=-1

y=6-2(-1)

y=8

5.) 4x-(8)=4

4x=12

x=3

4(3)-y=4

12-y=4

-y=-8

y=8

6.) 3(y-4)+y=12

4y-12=12

4y=24

y=6

x=6-4

x=2

7.) 5x-2x-6=9

3x=15

x=5

5(5)-y=9

25-y=9

-y=-16

y=16

8.)3(x-6)+x=2

4x-18=2

4x=20

x=5

y-5=-6

y=-1

hope this helped :)) also make sure to plug the x and y back into both equations :))

Please help I’ll give you the Brainlylist

Answers

Answer:

86

Step-by-step explanation:

Answer:

28/15

--

I hope it helps!

Can someone pls help me on this

Answers

CF is 7

Step-by-step explanation:

GE is 10 and they have to be equal so 10-3 is 7

Q2. 1 a) Dave wants to invest $2000 in an account that earns 2.5% interest compounded monthly. If he
leaves the money in the account for 5 years, how much money will he have at the end of those 5 years?

Answers

Question: Dave wants to invest $2000 in an account that earns 2.5% interest compounded monthly. If he  leaves the money in the account for 5 years, how much money will he have at the end of those 5 years?

Answer:

Step-by-step explanation:

Andy wants to rent a limo to go to prom, but wants to split the cost with some friends. The limo costs $400 to rent

Answers

Answer:

its would prob be 100 / 4

Step-by-step explanation:

Johanne packed 10 boxes of apples each day for 8 days. What is the total number of boxes Johanne packed?

Answers

Answer:

80 10x8 is 80

your welcomr

Paragraph One

He drives a racecar 80 miles per hour. He motivates audiences of hundreds. He's earned awards for his performance on and off the racetrack, and he's traveled the country to compete. Did we mention that he's 13 years old? One look at his accomplishments and it is easy to see that Noah "Little Gator" Cornman is on the fast track to success. "Little" might be a part of his nickname, but it does not describe his determination to succeed and his heart to make a difference for kids like him.

In paragraph 1, which sentence implies that the author is impressed with the teen's accomplishments?

He drives a racecar 80 miles per hour.
He motivates audiences of hundreds.
Did we mention that he's 13 years old?
He's traveled the country to compete.

Answers

Answer:

Did we mention that he's 13 years old?

Step-by-step explanation:

because he inspire alot of people by driving a racecar 80 mph that is fast for a kid at his age.

Answer:

Did we mention that he's 13 years old?

Step-by-step explanation:

Did this in middle school 1 year ago it right

(q – 5) 7 simplified

Answers

Answer:

7q-35

Step-by-step explanation:

hey guy i need help on this

Answers

Answer:

14

Step-by-step explanation:

Answer:

14

Step-by-step:

[tex](12 - 9)^{2} + \frac{15}{3} \\ (3) ^{2} + \frac{15}{3} \\ 9 + \frac{15}{3} \\ 9 + 5 \\ = 14[/tex]

A hemispherical tank is filled with water and has a diameter of 15 feet. If water weighs 62.4 pounds per cubic foot, what is the total weight of the water in a full tank, to the nearest pound?

Answers

Answer:

55135 lbs (rounded to the nearest pound)

Step-by-step explanation:

​diameter of tank = 15 ft

Radius = 15/2 =7.5

volume of hemisphere = 2/3 ×π× 7.5³=883.5729

total weight of water = 62.4 × 883.57 = 55134.768

55134.768 rounded to the nearest pound is 55135 lb

♥ Hope this helped ♥

Angles a and b are complementary angles symmetry of angle a is 28° more than the measure of angle b find the missing angle measures

Answers

Answer:

31 , 59

Step-by-step explanation:

a = b +28

a + b = 90 {Complementary}

b + 28 + b = 90    {Combine like terms}

2b + 28 = 90       {Subtract 28 form both sides}

       2b  = 90 - 28

       2b = 62      {Divide both sides by 2}

        b = 62/2

       b = 31

a = 31 + 28

a = 59

Two groups of students were asked how far they lived from their school. The table shows the distances in miles:


Group A (distance in miles) 1 1.5 3.03 3.2 2.8 1.5 1.8 2.5 2.2
Group B (distance in miles) 2 2.5 3.23 1.3 1.8 2.4 3 1.5 1.8


Which statement best compares the mean distances for the two groups?
It is equal for Group A and Group B.
It is greater for Group B than Group A.
Its value for Group A is double the value for Group B.
Its value for Group B is double the value for Group A.

Answers

Answer:

B

Step-by-step explanation

add all numbers then divide by the number of numbers and you get the means

Answer:

B

Step-by-step explanation:

Using the graph , determine the coordinates of the vertex of the parabola

Answers

Answer:

(-4,-4)

Step-by-step explanation:

Delta math

According to graph, the coordinates of the vertex of the parabola are (-4,-4).

What is parabola?

"A parabola is a plane curve which is mirror-symmetrical and is approximately U-shaped."

Vertex of parabola

"The vertex of a parabola is the point at the intersection of the parabola and its line of symmetry. For a parabola whose equation is given in standard form, the vertex will be the minimum (lowest point) of the graph and the maximum (highest point) of the graph.

After analysing the graph, the vertex of the parabola are (-4,-4)

Learn more about parabola here

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A side of the triangle below has been extended to form an exterior angle of 116. Find the value of x

Answers

Answer:

[tex]x=64 \textdegree[/tex]

Step-by-step explanation:

From the question we are told that

Angle of extension [tex]y=116 \textdegree[/tex]

Generally the angle formed at x is mathematically given as

[tex]x=180-116[/tex]

[tex]x=64 \textdegree[/tex]

Answer:

26°

Step-by-step explanation:

A side of the triangle below has been extended to form an exterior angle of 116°. Find the value of xx.

The answer is 26° i tried 64 and it was incorrect.

Approximately 45% of films are rated R if 850 films were recently rated how many were rated R

Answers

Answer:

382.5?????

Step-by-step explanation:

because 850×45% its that

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