Answer:
Step-by-step explanation:
1) 4x + 3 <= 3x - 5
Subtract 3 from both sides
4x + 3-3 <= 3x - 5 -3
4x <= 3x - 8
Subtract 3x form both sides
4x - 3x <= 3x -3x - 8
x <= -8
For this case we use the following formula
Area of Sector = Area * radians of sector / 2 * pi radians
Where,
Area: it is the area of the complete circle.
We have then:
Area = pi * r ^ 2
Area = pi * (6) ^ 2
Area = 36pi
Substituting values:
5pi = 36pi * radians of sector / 2 * pi
Clearing:
radians of sector = ((5pi) * (2pi)) / (36pi)
radians of sector = (10pi ^ 2) / (36pi)
radians of sector = (10pi) / (36)
radians of sector = (10/36) pi
radians of sector = (5/18) pi
in degrees:
(5/18) pi * (180 / pi) = 50 degrees
Answer:
The measure of the central angle is:
50 degrees
Creo que la respuesta es C. No soy bueno con el inglés, pero eso es lo que pienso. Lo siento si está mal.
If the triangles are similar, then the corresponding ratio of their sides have equal ratios. Through ratio and proportion, we would determine the answer.
5/6 = x/9, where x is the length for side PN
Transposing the equation so that x is on the left side:
x = (5/6)*9
x = 7.5
Answer:
The distance you are from the base of plateau = 
Step-by-step explanation:
Given:
Height of plateau = 70 m
Angle of elevation to the top of plateau = 35°
To find the distance you are from the base of plateau.
We will construct a triangle ABC to model the given situation. The triangle would be a right triangle for which we know an angle and its opposite side. We need to find the adjacent side of the triangle.
We will apply trigonometric ratio to find the adjacent side.
where 
represents the angle of reference.
Plugging in the values from the triangle.
Multiplying both sides by AC.
Dividing both sides by 
∴ 
The distance you are from the base of plateau =
