A guy wire is attached to the top of a radio antenna and to a point on horizontal ground that 40 m from the base of the antenna. If the wire makes an angle of 58deg 20min with the group find the length of the wire.

Answers

Answer 1

Answer:

Answer:

The length of the wire is 76.19 m.

Step-by-step explanation:

It is given that a guy wire is attached to the top of a radio antenna and to a point on horizontal ground that 40 m from the base of the antenna.

It means base of the right angled triangle is 40 m.

The wire makes an angle of 58deg 20min with the ground.

1 degree = 60 min

Using this conversion convert the given angle in degree.

$58^(\circ)20'=58^(\circ)(20)/(60)^(\circ)=58(1)/(3)^(\circ)=(175)/(3)^(\circ)$

In a right angled triangle

$\cos \theta=(adjacent)/(hypotenuse)$

$\cos ((175)/(3)^(\circ))=(40)/(hypotenuse)$

$0.525=(40)/(hypotenuse)$

$hypotenuse=(40)/(0.525)$

$hypotenuse=76.190$

Therefore the length of the wire is 76.19 m.

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Kiran says that -2<-5. Do you agree with Kiran? Explain or show your reasoning.

Answers

Answer:

No I do not agree. -2 is closer to 0 than -5

Step-by-step explanation:

-5 -----------> -2---------> 0

7 decreased by n
The expression is

Answers

Answer:

7-n

Step-by-step explanation:

Answer:

The expression would just be 7-n

Thanks if you helped

Answers

Answer:

The slope is 0
The line is a horizontal line
The line has no y-intercept

Solve the equation9x² – 29x – 28 = 0
Give your answers to 2 decimal places when appropriate

Answers

Final answer:

The roots of the equation 9x² - 29x - 28 = 0 are x = 4 and x = -0.78.

Explanation:

The equation given is a quadratic equation. To solve it, we can use the quadratic formula: x = [-b ± sqrt(b²-4ac)] / (2a), where a, b, and c are coefficients of the quadratic equation. In your equation, a=9, b=-29, and c=-28.

So now, we substitute these values into the quadratic formula:
x = [29 ± sqrt((-29)²-4*9*(-28))] / (2*9)
Solving inside the square root first, we get:
x = [29 ± sqrt(841+1008)] / 18
x = [29 ± sqrt(1849)] / 18
Continue to simplify and you get:
x = [29 ± 43] / 18, which gives us two possible solutions:
x = 72 / 18 = 4
and
x = -14 / 18 = -0.78 (to two decimal places).