A 100m mast is supported by six cables in two sets of three cables. They are anchored to the ground at an equal distance from the mast. The top set of three cables is attached at a point 20m below the top of the mast. Each cable in the lower set of three cables is 60m long and is attached at a height of 30m above the ground. If all the cables have to be replaced, find the total length of cable required?

The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec). In geometry, trigonometry is a branch of mathematics that deals with the sides and angles of a right-angled triangle. Therefore, trig ratios are evaluated with respect to sides and angles.  

The trigonometry ratios for a specific angle ‘θ’ is given below:

Trigonometric Ratios

Sin θ Opposite Side to θ/Hypotenuse

Cos θ Adjacent Side to θ/Hypotenuse

Tan θ Opposite Side/Adjacent Side & Sin θ/Cos θ

Cot θ Adjacent Side/Opposite Side & 1/tan θ

Sec θ Hypotenuse/Adjacent Side & 1/cos θ

Cosec θ Hypotenuse/Opposite Side & 1/sin θ

Note: Opposite side is the perpendicular side and the adjacent side is the base of the right-triangle. Also, check out trigonometric functions to learn about each of these ratios or functions in detail.Trigonometric Identities

Definition

Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle. The ratios of sides of a right-angled triangle with respect to any of its acute angles are known as the trigonometric ratios of that particular angle.

The three sides of the right triangle are:

Hypotenuse (the longest side)

Perpendicular (opposite side to the angle)

Base (Adjacent side to the angle)

Answer:

28.3

Step-by-step explanation:

Use the Tangent

Tan(theta) = opposite over adjacent.

opposite (defined as the line that does not make up the angle) = 17

Theta = 31

adjacent (one of the lines making up the angle) = x

Tan(31) = 0.6009

Tan(31) = 17/x             Multiply both sides by x

x*tan(31) = 17              Divide by tan 31

x = 17/tan31

x = 17 / 0.6009

x = 28.29

Rounded to the nearest 1/10 is 28.3

Answer:

SinA= BC/AC=20/55

SinA=4/11

A=Sin^-1(4/11)

A=Sin^-1(0.36)

LA=21.1 ← ans

OAmalOHopeO

Answer:

94.2 cm^3.

Step-by-step explanation:

Volume of a cone = 1/3πr^2h

The radius of the cone = 1/2 * 6 = 3

So here the volume is:

1/3 * π *  3^2 * 10

= 94.247

Answer:

11. 40.5

12. 84

Step-by-step explanation:

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Explanation:

These are state abbreviations

Since the given sequence is "AL, AK, AZ, AR, CA", and the states are listed alphabetically so far (in terms of the two letter abbreviations), then the next two would be CO and CT in that order.

Answer:

Step-by-step explanation:

Consider straight line and complementary angle properties and use following equation:

Answer:

x=115 degrees

Step-by-step explanation:

Answer:

Step-by-step explanation:

.007  = 7 x [tex]10^{-3}[/tex]

.07    = 7 x [tex]10^{-2}[/tex]

7      = 7 x [tex]10^{0}[/tex]

700 = 7 x [tex]10^{2}[/tex]

Answer:

11.5 foot (rounded to one decimal)

Step-by-step explanation:

x = 20×sin(35)

x ≈ 11.47153.. ≈ 11.5

Answered by GAUTHMATH

Answer:its C rent-to-own ; rent-to-own

Step-by-step explanation:

I got a 100 on my test

Step-by-step explanation:

[tex] \frac{1}{16} = {2}^{ - 4} [/tex]

Answer:

2^-4

Step-by-step explanation:

16 = 2^4

1/16 = 1/2^4

We know 1/a^b = a^-b

1/2^4 = 2^-4

Answer: 825

Step-by-step explanation:

Plug in the values for v = π*r²*h

So, your new equation is v = π*5²*11 (I got 5 because 10 is the diameter, the radius is half the diameter, therefore r = 5.)

The question is also telling us to replace π with 3.

now we solve, after gathering all of our information.

v = 3*5²*11

v=3*25*11

v=75*11

v=825

Answer:

13.2%

or 115.2%

Step-by-step explanation:

hope it's correct. lemme know which one is correct

Answer:

14

Step-by-step explanation:

19 - 5 = 14

Step-by-step explanation:

To evaluate such, the following formula is required:

Distance Formula: d(P, Q) = √ (x2 − x1)^2 + (y2 − y1)^2

Denote the following points as the following,

(4, -7). (1, -7)

X1 Y1. X2. Y2

D(P, Q) = √(1 - 4)^2 + (-7 + 7)^2. <== Since there is a double negative, such will be considered addition.

√(-3)^2 + (0)^2

√9 = 3

Thus, the agglomerate distance of such points on the Cartesian plane is disclosed as 3 units.

Answer:

20 ladies

30 gents

Step-by-step explanation:

Let :

x = number of ladies

50 - x = number of gents

total weight of the ladies = 40x

total weight of the gents = 50(50 - x) = 2500 - 50x

Average weight : (40x +2500 -  50x) / 50 = 46

cross multiply

2500 - 10x = 2300

combine like terms

2500 - 2300 = 10x

200 = 10x

x = 20 = number of ladies

Number of men = 50 - 20 = 30  

Answer:

Hence The Answer is 66.

Step-by-step explanation:

I Hope It Helps You.

• • •

The simplified expression is 99.3333 (rounded to four decimal places).

To simplify the expression 62 + 2{56/(4 multiplied by 2) - 5}, we'll follow the order of operations (also known as PEMDAS).

First, within the innermost parentheses, we have 4 multiplied by 2, which equals 8. Then, we subtract 5 from 8, resulting in 3.

Next, we have 56 divided by 3, which equals 18.6667 (rounded to four decimal places).

Now, we'll move to the outer set of curly braces. We multiply 18.6667 by 2, giving us 37.3333 (rounded to four decimal places).

Finally, we add 62 to 37.3333, resulting in 99.3333 (rounded to four decimal places).

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Complete question is:

Simplify 62+2{56/(4 multipied by 2)-5.

Answer:

17) You need a time line for question.

18) 100

19) 5 to the 4th power

Answer:

r = 5

Step-by-step explanation:

Side 1: 7

Side 2: 2 + r

To determine r, we subtract 2 from both sides to get the following:

Side 1: 5

Side 2: r

5 and r are the same, so 5 must equal 5.

Therefore, r = 5.

Step-by-step explanation:

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Answer:

GIVE ME BRAINLIEST

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given linear equation is,

y = [tex]\frac{2}{3}x[/tex]

t-chart Or table for the input-output values,

y       -2          0          2            4  

x       -3          0           3            6

Now we have to plot the ordered pairs given in the table,

(-3, -2), (0, 0), (3, 2), (6, 4)

Answer:

x=3

Step-by-step explanation:

The middle is the average of the top and bottom  since it divides the sides into equal parts

(23+ 11x+2)/2 = 29

Multiply each side by 2

(23+ 11x+2) = 58

25+11x = 58

11x = 58-25

11x = 33

Divide by 11

11x/11 = 33/11

x=3

Answer:

1:1:√ 2

Step-by-step explanation:

Answer:

u = 14

v = 14

Step-by-step explanation:

since both angles around the 90 degree angle are the same, also the sides need to be of equal length. v = u

so, we can use Pythagoras

(14×sqrt(2))² = u² + u² = 2u²

196×2 = 2u²

196 = u²

u = 14 = v

Answer:

The function will have a vertical compression when 0 < α < 1

Step-by-step explanation:

The vertex form of a quadratic function showing the factors of the transformation of the function, is presented as follows;

[tex]f(x) = a \cdot \left(\dfrac{x}{c} - h \right)^2 + k[/tex]

The vertical scaling of the function (compression and stretching) is given by the value of the α control coefficient

A vertical stretch occurs when α > 1, while a vertical compression occurs when 0 < α < 1

Therefore, in order for a quadratic function to have a vertical compression, 0 < α < 1.

Perimeter = the sum of the outer sides

#1. P = (2x + 3) + (2x + 3) + (5x - 1) + (5x - 1) + (x - 7)

#2. P = 2(2x + 3) + 2(5x - 1) + (x - 7)

#3. P = 4x + 6 + 10x - 2 + x - 7

#4. P = 15x  - 3

A. Correct - equivalent to #2

B. Incorrect - does not include all of the sides

C. Correct - equivalent to #1

D. Incorrect

E. Incorrect

F. Correct - equivalent to #4

Hope this helps!

Answer:

A, C, F.

Step-by-step explanation:

Answers A, C, and F are all equal and represent the perimeter of the shape.

There are 2 sides that are (2x+3) and (5x-1) in size and 1 side that is (x-7) in size.

Answer:

110°

Step-by-step explanation:

mFG = 2×<FEG = 2×55 = 110°

Answered by GAUTHMATH

The value of the angle or periphery FG will be 110°.

A circle is a geometric shape that is created by drawing a point in an orbit around a fixed point while maintaining a fixed distance.

The longest line which can be drawn inside the circle will be the diameter.

Area of circle = πr² and the perimeter of circle = 2πr where r is the radius of the circle.

By the circle theorem;

According to the theorem, an angle within a circle is half of the center angle within the circle that subtends the same arc.

Given the ∠FEG = 55°

So angle FG = 2 × ∠FEG

angle FG = 2 × 55° = 110°

Hence angle FG will be 110°.

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Answer:

(a+b)³=a³+3a²b+3ab²+b³

Answer:

Step-by-step explanation:

Hello!

(a+b)(a+b)(a+b)

(a+b)(a+b) = a²+2ab + b²

(a²+2ab + b²) (a+b)=

a³ + a²b +  2a²b + 2ab² + ab² + b³ =

a³ + b³ +  2a²b + 2ab² + ab²  + a²b