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disa [49]
2 years ago
11

What is the rise of a line that has a run of 20 and a slope of 1

Mathematics
1 answer:
Nesterboy [21]2 years ago
3 0
Its 20 because 20/20 is 1
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A41.0m guy wire is attached to the top of a 32.8 m antenna and to a point on the ground. How far is the point on the ground from
Setler79 [48]

Answer:

Step-by-step explanation:

A right angle triangle is formed.

The length of the guy wire represents the hypotenuse of the right angle triangle.

The height of the antenna represents the opposite side of the right angle triangle.

The distance, h from base of the antenna to the point on the ground to which the antenna is attached represents the adjacent side of the triangle.

To determine h, we would apply Pythagoras theorem which is expressed as

Hypotenuse² = opposite side² + adjacent side²

Therefore,

41² = 32.8² + h²

1681 = 1075.84 + h²

h² = 1681 - 1075.84 = 605.16

h = √605.16

h = 24.6 m

To determine the angle θ that the wire makes with the ground, we would apply the the cosine trigonometric ratio.

Cos θ = adjacent side/hypotenuse. Therefore,

Cos θ = 24.6/41 = 0.6

θ = Cos^-1(0.6)

θ = 53.1°

7 0
3 years ago
Which figures have rotation symmetry?<br> Select each correct answer
goblinko [34]

Answer:

The both on the right are the correct answers

Step-by-step explanation:

This is because rotational symmetry is defined as the property a shape has when it looks the same after some rotation by partial turns.

8 0
3 years ago
If a and b are rational numbers and 6/(3√2-2√3 ) = a √2-b √3 , then find the values of a and b.
eduard

Answer:

=3–√−13–√+1⋅3–√−13–√−1

=(3–√−1)23–√2−12

=3–√2+12−23–√3−1

=4−23–√2

2−13–√

a=2,b=−1.

Step-by-step explanation:

6 0
3 years ago
What is the log 5x=log (2x+9)
Ray Of Light [21]
5x = 2x + 9, where 5x > 0 and 2x + 9 > 0 ;
Then, 3x = 9 ;
Then, x = 3 ;
Verify : 5 × 3 = 2 × 3 + 9 ;correct !
            5 × 3 > 0 ; correct !
            2 × 3 + 9 > 0; correct !
8 0
3 years ago
What is 6/3 in simplest form
Ray Of Light [21]
The fraction 6/3 is equivalent to 2. So, it's a integer number once the numerator is multiple of the denominator.
6 0
3 years ago
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