The value of the acute angle is 40°
Step-by-step explanation:
Let the angle be 'θ'
Length of the ramp = 1 m
Height = 0.643 m
To find :
The angle of elevation.
we can use sine to find the angle of elevation.
sin θ = 0.643/1
sin θ = 0.643
0.643 = sin 40°
sin θ = sin 40°
So, θ = 40°
The angle of elevation is 40°
X = -3.
The distance from p(-9, 0, 0) is
d = sqrt((x+9)^2 + y^2 + z^2)
The distance from q(3,0,0) is
d = sqrt((x-3)^2 + y^2 + z^2)
Let's set them equal to each other.
sqrt((x+9)^2 + y^2 + z^2) = sqrt((x-3)^2 + y^2 + z^2)
Square both sides, then simplify
(x+9)^2 + y^2 + z^2 = (x-3)^2 + y^2 + z^2
x^2 + 18x + 81 + y^2 + z^2 = x^2 - 6x + 9 + y^2 + z^2
18x + 81 = - 6x + 9
24x + 81 = 9
24x = -72
x = -3
So the desired equation is x = -3 which defines a plane.
A(n) = 3.50n + 1.00
Martin bought 3^3 apples or 27 apples.
Let n = 27
A(27) = 3.50(27) + 1.00
A(27) = $95.50
It is 36%, because a percent is defined as a part to a whole, so in this scenario the part is the number of votes for maria and the whole is the number of kids in the class, so if we put it into fraction form we'll 9/25, which can be increased to 36/100 or you can input it into a calculator and convert to percent form
Answer:
The numbers are 9, 19 and 76.
Step-by-step explanation:
Let's take the second number and make it a variable, like x. Now let's find all the other numbers in terms of x.
The first number in terms of x:
The second number in terms of x:
If we add them all up, these 3 numbers in terms of x must be equal to 104, so:
Now that we know the second number, we can find the other numbers since we already figured out their values in terms of x:
The first number is 9, second number 19 and the third number 76.
