Answer:
x = 6
Step-by-step explanation:
Given that x and y vary directly then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition x = 25 when y = 100 , then
100 = 25k ( divide both sides by 25 )
4 = k
y = 4x ← equation of variation
When y = 24 , then
24 = 4x ( divide both sides by 4 )
6 = x
Hey there!
To find the greatest common factor you will need to find all the factors of 36 and 54. (A factor is a number that can be divided into another number).
54 - 1, 2, 3, 6, 9, 18, 27.
36 - 1, 2, 3, 4, 6, 9, 12, 18.
As you can see here, the factor that is the greatest is 18. Therefore, that is your answer.
Hope this helps! :)
The angle of depression is 29.0521°. So it is a safe landing.
Step-by-step explanation:
Step 1:
The plane is flying at a height of 25,000 feet and 45,000 feet away from the landing strip. Assume it lands with an angle of depression of x°.
So a right-angled triangle can be formed using these measurements. The triangle's opposite side measures 25,000 feet while the adjacent side measures 45,000 feet. The angle of the triangle is x°.
To determine the value of x, we calculate the tan of the given triangle.
Step 2:
The length of the opposite side = 25,000 feet.
The length of the adjacent side = 45,000 feet.
So x = 29.0521°. Since x < 30°, it is a safe landing.
5y = 135....divide both sides by 5
y = 135 / 5
y = 27 <==
(2.7, 2.3)
(2, 1.7)
(1.7, 1.3)
again may be wrong