What is the exact value of tan (StartFraction 5 pi Over 8 EndFraction)

Step-by-step explanation:

everything can be found in the picture

Answer:

  f(n) = -3n + 23

Step-by-step explanation:

Just got it right on EDG.

Answer:

The ratio of any two corresponding lengths in two similar geometric figures.

Step-by-step explanation:

You can see immediately that the length of each of the sides in triangle DEF is equal to the length of the corresponding side in ABC multiplied by “a”.

If you divide the length of DE by the length of AB:

a^2/a =a.

You get a scale factor of “a”

Answer:

Step-by-step explanation:

first arrange the data from ascending to decending order

1,5,8,10,11,14,17,19,20,23

Q1=(N+1)/4

=(10+1)/4

=11/4

=2.75

=2 nd item+(3 rd -2 nd)term

=5+(8-5)

=5+3

=8

Q2=(N+1)/2

=(10+1)/2

=11/2

=5.5 term

=(5 th term+6 th term)

=(11+14)/2

=25/2

=12.5

Q3=3(N+1)/4

=3(10+1)/4

=3*11/4

=33/4

=8.25

=8 th term +(9 th -8 th )term

=19+(20-19)

=19+1

=20

Answer:

distance divided by time

Step-by-step explanation:

distance is the speed of the moving object multiplied by the time taken to complete a certain distance therefore the speed is the distance covered divided by the time taken.

Answer:

Step-by-step explanation:

Answer: 59.04

Step-by-step explanation:

tan 16= x/200

tan16/1=x/200  

200 tan 16=x  

x=57.349077...

x=57.349077...

Add 1.69, the distance from the ground to her eye:

57.349077...+1.69= 59.039077...

≈   The skyscraper is 59.04 meters tall.

You can use right triangles to get the height of the skyscraper.

The height of the skyscraper is 59.04 meters approximately.

You look straight parallel to ground. But when you have to watch something high, then you take your sight up by moving your head up. The angle from horizontal to the point where you stopped your head is called angle of elevation. See the figure where angle DCE is the angle when Penelope saw the skyscraper. It  is measured from the horizontal line DC.

Remember that we assume that building is vertical to the ground. This means, there is 90° formation.

Since the distance from the base of the building is given and the angle of elevation is given, we have enough data to construct a specific right triangle where the vertical line opposite to the angle of elevation is of the measure of the height of the building.

And then we can use tangent ratio which relates perpendicular and base to the considered angle.

Remember that trigonometric ratios are defined for right triangles only(those triangles who have one of the angle as of 90 degrees).

See the diagram attached below, where the length AE is the building's height. AD is same as CB which is height of Penelope(a person who is watching the top of that given skyscraper).

For the right angle triangle EDC, and for the angle considered ∠ECD, we have the perpendicular as side opposite to the angle ∠ECD which is ED and the base is DC. Thus, the tangent ratio of ∠ECD is given by

[tex]tan(\angle ECD) = \dfrac{Perpendicular \: to \: \angle ECD}{Base \: to \: \angle ECD } = \dfrac{ED}{DC} = \dfrac{h - 1.69}{200}\\tan(16^\circ) = \dfrac{h - 1.69}{200}\\[/tex]

DC = AB and DA = CB because of ABCD being a rectangle because of building and person both standing vertical to the ground and the line DC being parallel to the ground, thus all angles being right angle(of 90 degrees).

From the calculator, the value of tan(16°) is approx 0.2867

Thus, putting this value in the obtained equation, we get:

[tex]tan(16^\circ) = \dfrac{h - 1.69}{200}\\0.2867 = \dfrac{h-1.69}{200}\\\\0.2867 \times 200 = h - 1.69 \\57.35 + 1.69 = h\\h = 59.04 \: \rm meters[/tex]

Thus, the height of the specified skyscraper is  approx 59.04 meters.

Learn more about trigonometric ratios here:

https://brainly.com/question/22599614

Answer:

Yes.  A propotion is to check if two things are equivelent.  The ratios 4:18 and 2:9 are equivelent.

Answer:

7 is the correct answer

Step-by-step explanation:

Hope this answer helps you :)

Have a great day

Mark brainliest

Answer:

Step-by-step explanation:

take 69 degree as reference angle

using sin rule

sin 69=opposite/hypotenuse

0.93=7.2/x

x=7.2/0.93

x=7.74

x=7.7

Answer:

189.6m

Step-by-step explanation:

Area of reactangle= side₁ ×side₂

Let the other side of the rectangle be x meters.

Area of rectangle= 75.2m²

0.8x= 75.2

x= 75.2 ÷0.8

x= 94

Perimeter of rectangle

= 2(side₁ +side₂)

= 2(0.8 +94)

= 189.6 m

Answer:

sin x° = opposite ÷ hypotenuse

Step-by-step explanation:

Cosine is represented by the expression adjacent ÷ opposite and sine is represented by opposite ÷ hypotenuse. Only the fourth option lines up with the functions defined above.

If you are having trouble remembering the ratios for each trig function, you can use the acronym SohCahToa. This stands for:

S - sine

o - opposite

h- hypotenuse

C - cosine

a - adjacent

h - hypotenuse

T - tangent

o - opposite

a - adjacent

Answer:

-5i is the imaginary portion

Step-by-step explanation:

a+bi

a is the real part  bi is the imaginary part

-5i is the imaginary portion

Answer:

A

Step-by-step explanation:

F(x) = 4x^2 + 1

G(x) = x^2 - 5

(F-G)(x) = (4x^2+1 - x^2-5)

collect like terms

(F-G)(x) = (4x^2-x^2 + 1-5)

= (3x^2 - 4)

Answer:

11. = D) x is greater than or equal to -1

12. = A) x is less than -2

Step-by-step explanation:

Answer:

11. -1 ≤ x

or

x ≥ -1, D

Because it is starting at -1, and the arrow is pointing up showing that x is greater than. BUT the circle is not hallow and is filled meaning that is is greater than, OR EQUAL TOO.

12. X < -2, A

Because it is starting at -2 and is going down showing that -2 is greater, and since the circle is hallow it just means X is less than NOT OR EQUAL TOO.

Answer:

it is 6 yards

Step-by-step explanation:

since 1 yard is equal to 3 feet, 18 feet divided by 3 is 6

hope this helped :D

Answer:

option 2, because g-h and j -k is congruent

Answer:

Following are the solution to the given question:

Step-by-step explanation:

For point a:

[tex]6.5 - 4.9 = 2.4 \\\\\frac{2.4}{1.2} = 2 \\\\\sigma \ \ so \ k = 2[/tex]

For point b:

[tex]\frac{3}{1.2}\ \ \sigma\ \ so \ k =\frac{3}{1.2} \ \ so\ \ 1- \frac{1}{k ^2} = 0.84[/tex]

For point c:

Once again, we have k = 2 though with Chebyshev discrepancy of witness numbers in the same number of standard deviations off mean = at least 75 percent.

Answer:

By trigonometric ratio;

XZ/sin(b) = XY/sin(c) = YZ/sin(a)

MN/sin(c) = NZ/sin(f) = MZ/sin(d)

∴ XZ/MZ = XY/MN × (sin(b)/(sin(d))

XY/MN  = XZ/MZ × (sin(b)/sin(d))

Where (sin(b)/(sin(d)) = V;

(XZ/MZ)/(XY/MN) = (XY/MN × V)/(XZ/MZ × V)

(XZ/MZ)/(XY/MN) = (XY/MN)/(XZ/MZ)

∴ (XZ/MZ)² = (XY/MN)²

∴ XZ/MZ = XY/MN QED

Step-by-step explanation:

Whereby the shapes in the question are triangles ΔXYZ and ΔMNZ, and given that we have;

XZ/MZ = YZ/NZ, and from the attached drawing, we have;

∠XZY = ∠NZM

By trigonometric ratio, we have;

XZ/sin(b) = XY/sin(c) = YZ/sin(a)

∴ XZ = sin(b)×XY/sin(c)

MN/sin(c) = NZ/sin(f) = MZ/sin(d)

MZ = sin(d)×MN/sin(c)

∴ XZ/MZ = sin(b)×XY/sin(c)/(sin(d)×MN/sin(c)) = XY/MN × (sin(b)/(sin(d))

XY = sin(c) × XZ/sin(b), MN = sin(c) × MZ/sin(d)

XY/MN  = sin(c) × XZ/sin(b)/(sin(c) × MZ/sin(d)) = XZ/MZ × (sin(b)/sin(d))

Let 'V' represent (sin(b)/(sin(d)), we have;

XZ/MZ = XY/MN × V...(1)

XY/MN = XZ/MZ × V...(2)

Dividing equation (1) by (2) gives;

(XZ/MZ)/(XY/MN) = (XY/MN × V)/(XZ/MZ × V) = (XY/MN)/(XZ/MZ)

(XZ/MZ)/(XY/MN) = (XY/MN)/(XZ/MZ)

∴ (XZ/MZ)² = (XY/MN)²

∴ XZ/MZ = XY/MN

Answer:

30.

3×4=12

12×5=60

60÷2=30

Answer:

(x - 5)(x + 2)(x + 5)

Step-by-step explanation:

x³ + 2x² - 25x - 50

x³ + 7x² - 5x² - 35x + 10x - 50

x(x² + 7x + 10) - 5(x² + 7x + 10)

(x - 5)(x² + 7x + 10)

(x - 5)(x² + 2x + 5x + 10)

(x - 5)(x(x + 2) + 5(x + 2))

(x - 5)(x + 2)(x + 5)

Answer:

[tex]y = \frac{3}{4}x - 3[/tex]

Step-by-step explanation:

If it has a slope of 3/4, then it will look like this:

[tex]y = \frac{3}{4}x + b[/tex]

If it passes through (4, 0), than y = 0 when x = 4

[tex]y = \frac{3}{4}(4) + b[/tex]

[tex]y = 3 + b[/tex]

[tex]b = -3[/tex]

Therefore, the equation is [tex]y = \frac{3}{4}x - 3[/tex].

Answer:

i don't know ok thank you bye

Answer:

3

Step-by-step explanation:

How many times will Gus need to fill the bucket to completely fill the fish tank if he doesn’t spill a drop? Use 3.14 for pi

Number of times = volume of tank /volume of cylinder

volume of cylinder = πr²h

3.14 x 5² x 20 = 1570

4710 /  1570 = 3 times

Answer:

I think n = 7

Step-by-step explanation:

I might be wrong but I looked carefully and I think n is 7.

Answer:

the answer is n=7 so it

Step-by-step explanation:

is7

Answer:

The answer is 3418.1 ft rounded to the nearest tenth.

Step-by-step explanation:

The total volume of the cylinder can be defined by the Area of circular base * Perpendicular height.

The area of the circular base can be calculated as

[tex]\pi \times {r}^{2} [/tex]

where r is the radius of the circular base, which is 8 ft.

The area of the circular base is

[tex]\pi \times {8}^{2} = 64\pi[/tex]

We also know the height of the cylinder is 17 ft.

Hence, the volume of the cylinder is

[tex]64\pi \times 17 = 1088\pi = 3418.0528...[/tex]

This will be rounded up to 3418.1 with the nearest tenth

Answer:

Perimeter = AB + AC + BC = 26.55 units

Step-by-step explanation:

The perimeter of a triangle is the sum of lengths of all sides.

Here we have a right triangle, right-angled at C

angle B = 46°

AB = 11

We continue to calculate

AC = (11)sin(46°) = 7.91

BC = (11)cos(46°) = 7.64

Perimeter = AB + AC + BC = 26.55 units

9514 1404 393

Answer:

  4

Step-by-step explanation:

The fractions involved are 3/4, 1/2, 1/4. These have a least common denominator of 4. All of the fractions can be eliminated by multiplying the equation by 4.

  -3/4m -1/2 = 2 +1/4m . . . . . . given

  -3m -2 = 8 + m . . . . . . . . . . . multiply by 4 (eliminates fractions)

  -10 = 4m . . . . . . . . . . . . . . . . add 3m-8

  -5/2 = m . . . . . . . . . . . . . . . . divide by 4

__

Check

  -3/4(-5/2) -1/2 = 2 + 1/4(-5/2)

  15/8 -4/8 = 16/8 -5/8

  11/8 = 11/8 . . . . . answer checks OK