Answer:
The distance to the top of the balloon is approximately 33.977 meters
Step-by-step explanation:
The (horizontal) distance from the hot air balloon from the observer, <em>l</em> = 30 m
The angle of elevation to the top of the balloon, θ = 28°
With the balloon standing upright, the distance to the top of the balloon, <em>d</em>, the height of the balloon, <em>h</em> and the horizontal distance to the balloon, <em>l</em>, form a right triangle, where;
d = The hypotenuse side
l = The leg adjacent to the reference (given) angle,
h = The leg opposite to the given angle, θ
By trigonometric ratios, we have;

From which we get;



The distance to the top of the balloon, <em>d </em>≈ 33.977 m
10x^4y^3 - 5x^3y^2 + 20x^2y....first, find the GCF of ur coefficients (numbers)....it is 5...now find the lowest exponents of x, which is x^2...and now find ur lowest exponent of y, which is y
so ur GCF is : 5x^2y
Let the number of blue marbles be x
number of yellow marbles = x/3
number of green = x- 90
ATQ
x + x/3 + x - 90 = 694
2x + x/3 = 784
(6x + x)/3 = 784
7x/3 = 784
x = 784 x 3/7
x = 112 x 3
x = 336
number of blue marbles = 336
Answer:
y - 9 = - 3(x - 2)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Here m = - 3 and (a, b) = (2, 9), thus
y - 9 = - 3(x - 2) ← in point- slope form
Answer: 24
Step-by-step explanation:
Take the factorial of that number.
4! = 4*3*2*1=24