Answer:
<em>Explanation below</em>
Step-by-step explanation:
<u>First Degree Equations</u>
A first-degree equation can have one, none, or infinitely many solutions.
An equation like
2x + 3 = -x + 6
Has one solution: x=1
An equation like:
4x + 2 = 4x + 1
Has no solutions because when trying to solve for x we get:
2 = 1
This equality is false and no value of x can make it true
Finally, the equation:
3x + 2 = x + 2x + 2
Has infiniteyl many solutions, because when trying to solve it, we get:
2 = 2
Which is true regardless of the value of x
- The first given equation:
3x + 9 + 4x + x = ??
can be simplified as:
8x + 9 = ??
For this equation not having solutions, we should have 8x plus any number but 9 on the right side of the equation:
8x + 9 = 8x -3, or
8x + 9 = 8x + 4
- The second given equation:
3x + 9 + 4x + x = ??
can be simplified as:
8x + 9 = ??
If the equation has one solution, the only condition is that we should not have 8x on the right side. Thus any of those will do:
8x + 9 = 3x + 9
8x + 9 = -x + 5
8x + 9 = 0
3x + 9 + 4x + x = ??
can be simplified as:
8x + 9 = ??
For this equation to have infinitely many solutions, the right side must be exactly equal to the left side:
8x + 9 = 8x + 9
Answer:
41.6666% is a required percent of 48 is 20
20/48×100%=41.6666%
The angle of depression from the aeroplane to the ground will be 30 degrees.
<h3>What is trigonometry?</h3>
Trigonometry is the branch of mathematics which set up a relationship between the sides and angle of the right-angle triangles.
Given that:-
- An aeroplane is flying at the height of 10 km above the ground the distance along the ground from the aeroplane to the airport is 10√3 km
The angle of depression will be calculated as the angle between the horizontal and the height of the plane as shown in the figure below.
As we know that the perpendicular theta is height and the base ratio is angle tan theta.
tanФ = Height / Base
tanФ = 10 / 10 √3
tanФ = 1 / √3
Ф = tan⁻¹( 1 / √3 ) = 30°
Therefore the angle of depression from the aeroplane to the ground will be 30 degrees.
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Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
<u><em>The correct question is</em></u>
In a triangle ABC, m∠A=45°, m∠B 40°, and a=7. which equation should you solve to find b?
we know that
Applying the law of sines
substitute the given values
solve for b