What is the value of x in the figure?

Enter your answer in the box.

x =

Answer: 5.5

When you subtract 5.5 from 5.5 you get 0

Answer:

about 62%

Step-by-step explanation:

add all of the numbers

subtract the number of purple skittles

do 16÷26

multiply your answer by 100

get 61.5

round up

Using our trig functions, we know that tan x = opposite side of a right triangle divided by the adjacent side of the right triangle.

So, tan x = p/r.

Answer: tan x°

The trigonometric function gives the ratio of different sides of a right-angle triangle. The ratio of p and r can be written as tan(x°) and sec(y°).

The trigonometric function gives the ratio of different sides of a right-angle triangle.

[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}[/tex]

where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.

As per the given figure, the ratio of the p\r can be written as shown below,

In terms of angle x,

tan(x°) = p units / r units

tan(x°) = p/r

In terms of angle y,

tan(y°) = r / p

1 / tan(y°) = r/p

sec(y°) = r/p

Hence, the ratio of p and r can be written as tan(x°) and sec(y°).

Learn more about Trigonometric functions:

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Answer:

Amir's car will cost £10348.88 after 23 years.

Step-by-step explanation:

I finally found a UK human!

This is compound interest so you have to find a decimal multiplier and multiply that with £16470 to the power of 23.

The decimal multiplier would be 0.98. This is because you do 100% - 2% as depreciating basically means a decrease, which gives you 98% and then you divide that by 100 to get your decimal multiplier - 0.98.

16470 × [tex]0.98^{23}[/tex] = £10348.88

I hope that helps you!! ^-^

Answer:

$12644.56

Step-by-step explanation:

one year = 12 month

4,000 * (1.02)^(6*12) = 16644.5615

16644.5615-4000 = 12644.5615

Answer:

Step-by-step explanation:

[tex]A=P(1+r/c)^{ct}\\ \\ A=4000(1+.02/12)^{12(6)}\\ \\ A\approx \$ 4509.54[/tex]

Answer:

Please Provide the an attachment.Then i can show u my answer

Given:

The equation of a circle is:

[tex]x^2+y^2-x-2y-\dfrac{11}{4}=0[/tex]

To find:

The center of the circle and its radius.

Solution:

The standard form of a circle is:

[tex](x-h)^2+(y-k)^2=r^2[/tex]          ...(i)

Where, (h,k) is center and r is the radius of the circle.

The given equation of the circle is:

[tex]x^2+y^2-x-2y-\dfrac{11}{4}=0[/tex]

Write the given equation in standard form of a circle.

[tex](x^2-x)+(y^2-2y)-\dfrac{11}{4}=0[/tex]

[tex]\left(x^2-x+\left(\dfrac{1}{2}\right)^2\right)+(y^2-2y+1^2)-\dfrac{11}{4}-\left(\dfrac{1}{2}\right)^2+1^2=0[/tex]

[tex]\left(x-\dfrac{1}{2}\right)^2+(y-1)^2-\dfrac{11}{4}-\dfrac{1}{4}-1=0[/tex]

[tex]\left(x-0.5\right)^2+(y-1)^2-\dfrac{12}{4}-1=0[/tex]

On further simplification, we get

[tex]\left(x-0.5\right)^2+(y-1)^2-3-1=0[/tex]

[tex]\left(x-0.5\right)^2+(y-1)^2-4=0[/tex]

[tex]\left(x-0.5\right)^2+(y-1)^2=4[/tex]

[tex]\left(x-0.5\right)^2+(y-1)^2=2^2[/tex]            ...(ii)

On comparing (i) and (ii), we get

[tex]h=0.5,k=1,r=2[/tex]

Therefore, the center of the circle is (0.5,1) and radius is 2 units.

Answer:

[tex]\huge\boxed{\text{B) } 22.5 \ \text{feet}}[/tex]

Step-by-step explanation:

We can use basic trigonometric functions to find the closest height of the escalator.

Let's set up a picture from what we already know. The length of the escalator is 30 feet, and it forms a 41 degree angle with the top. Since it will form a 90 degree angle with the ground, we can find the angle between the ground and the beginning of the escalator.

Since all triangles have an angle sum of 180:

Now we know that the triangle looks something like this.

                   /  | 41°

                 /    |

               /      |

            /         |

30      /           |

       /              |                                                

     /                |

  /                   |

/__________| 90°

49°

We need to find the length of the side between the 41 and 90° angle.

To find which trigonometric operation to use on this triangle, we can use the acronym SOH CAH TOA.

Sine = Opposite / Hypotenuse

Cosine = Adjacent / Hypotenuse

Tangent = Opposite / Adjacent

We can use the sine of the 49 degree angle (opposite / hypotenuse) to find our missing side (since we know the hypotenuse).

Let's set up an equation and solve with our calculator.

We can calculate the sine of 49 with our calculator. We'd end up multiply 30 and that value and get 22.6.

Since the closest value to 22.6 on the answer choices is 22.5, the correct answer would be B) 22.5 feet.

Hope this helped!

Answer:

The answer is B.

Step-by-step explanation:

B. 22.5 feet

Answer:

6 ≤x

Step-by-step explanation:

12 + 11/6x ≤ 5+3x

Subtract 11/6x from each side

12 + 11/6x - 11/6x ≤ 5+3x-11/6x

Subtract 5 from each side

12 + 11/6x - 11/6x -5 ≤ 5+3x-11/6x-5

7 ≤ 3x-11/6x

Get a common denominator

7 ≤ 18/6x-11/6x

7 ≤7/6x

Multiply each side by 6/7

6/7 *7 ≤ 6/7 *7/6x

6 ≤x

Answer:

V = 0.523598776

Step-by-step explanation:

Answer:

155

Step-by-step explanation:

Answer:

155⁰

Step-by-step explanation:

You can see that the figure above is a vertical angle. This means that :-

<a is congruent to <c

<b is congruent to <d

Since <a is 155⁰ and is congruent to <c, this means that <c 8s also 155⁰.

Hope this helps and I would appreciate if you give me the brainlist or not, thank you :) !!

Answer:

The slope is 4

Step-by-step explanation:

rise over run

Answer:

7×7-5/7+3(5)

49-5/7+15

44/22

=2

so c squared - b

over c+3b is =2

Answer:

y^2

step-by-step-explanation:

Answer:

The answer is 2.

Step-by-step explanation:

11(7) - 75

77-75

=2

Answer:

the answer should be 7

Step-by-step explanation:

Answer:

Holly has 20 quart of potato salad left.

Step-by-step explanation:

Holly has 20 quart of potato salad because she originally has 46 quart of potato but gave her friend 26, subtracting 26 from the original amount of quart of potato she had.

Answer:

$1470

Step-by-step explanation:

$2100 * 70% = $1470

Answer: c = [tex]\sqrt{89}[/tex]

8² + 5² = c²

64 + 25 = c²

[tex]\sqrt{89}[/tex] = [tex]\sqrt{c^{2} }[/tex]

[tex]\sqrt{89}[/tex] = c

The length of the third side is 9.4.

Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

We have,

Applying Pythagorean theorem.

Third side = x

x² = 8² + 5²

8 x 8 = 64 and 5 x 5 = 25

So,

x² = 64 + 25

x² = 89

x = √89
x = 9.4333

Rounding to the nearest tenth

x = 9.4

Thus,

The length of the third side is 9.4.

Learn more about the Pythagorean theorem here:

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Answer:

it d

Step-by-step explanation:

Answer:

No answer just clues

Step-by-step explanation:

x/100*160/1=185/1

y/100*56/1=77/1

I just can't do anymore metal math today, sorry.

Answer:

I think It is Choice 3 sorry if I am wrong.

Step-by-step explanation:

Answer:

40%

Step-by-step explanation:

If there are 1200 students in the school and 720 of them are boys that means 480 of them are girls.

I like to do cross multiply and divide so the equation for that would be  480/120 = ?/100

if you cross and multiply 480 by 100 you will get 48000 then if you divide that by 1200 you will get 40 as your missing value.

Im basically just saying 480/1200 = 40%

If you need further help there are plenty of you tube videos on how to cross  multiply and divide

Hope this helps

- Please mark brainliest :)

Answer:

9 and 5

Step-by-step explanation:

..................

Answer:

[tex]2x^3y^3[/tex]

Step-by-step explanation:

[tex]\sqrt[3]{2x^5y^7} * \sqrt[3]{4x^4y^2} \\\\2x^3y^3[/tex]

Answer:

$9,151.38

Hopefully that is correct!!

Sorry i dont know what a matrix is but the answer to all 3 of the workers time is, 66