Let α represent the acute angle between the horizontal and the straight line from the plane to the station. If the 4-mile measure is the straight-line distance from the plane to the station, then
sin(α) = 3/4
and
cos(α) = √(1 - (3/4)²) = (√7)/4
The distance from the station to the plane is increasing at a rate that is the plane's speed multiplied by the cosine of the angle α. Hence the plane–station distance is increasing at the rate of
(440 mph)×(√7)/4 ≈ 291 mph
13 feet wide.
156/12=13
Brainliest plz
Answer:
k = 4, y = 4x
Step-by-step explanation:
From the question, we get the ratio of :
x : y = 1 : 4
Two variables are proportional to each other if their ration is constant. The constant value is denoted by 'k' and is called as constant of proportionality.
In the question, the two variables are :
x = glasses of lemonade
y = lemons used
From the question, the ratio of y is to x is given by :
y : x is 24 : 6 = 4 : 1 or 24/6 = 4
32 : 8 = 4 : 1 or 32/8 = 4
28 : 7 = 4 : 1 or 28/7 = 4
8 : 2 = 4 : 1 or 8/2 = 4
16 : 4 = 4 : 1 or 16/4 = 4
So here the constant is 4 . Therefore, the constant of proportionality, k is 4.
So we can write the equation as :
y = kx
or y = 4x
Answer:
4.9 units
Step-by-step explanation:
We are dealing with a Right angle triangle, and the c is actually the hypotenuse. We are given the measures of a and b.
a being 4, and b being 3.
We need to use the Pythagorean Theorem to solve this.

we can rewrite this as;

Calculation time
15 + 9 = c
c = 24
Now we find the square root of each equation to determine what
is.

4 + 3 = 4.89897948557
Let's round that to the nearest tenth.
4.9 units
Hope this helped :)
Answer:
3 ≤ x ≤ 4
Step-by-step explanation:
Step 1: Add 10 to all parts/sections.
Step 2: Divide all parts/sections by 3.
Therefore, the answer is 3 ≤ x ≤ 4.