Answer:
y = 60 when x = 12
Step-by-step explanation:
Direct variation is
y = kx
15 = k3
Divide by 3
15/3 = k
5 =k
y = 5x
Let x = 12
y = 5*12
y = 60
Answer:
d = 40.44
Step-by-step explanation:
Simplifying
25.14 = d + (-15.3)
25.14 = d + -15.3
Reorder the terms:
25.14 = -15.3 + d
Solving
25.14 = -15.3 + d
Solving for variable 'd'.
Move all terms containing d to the left, all other terms to the right.
Add '-1d' to each side of the equation.
25.14 + -1d = -15.3 + d + -1d
Combine like terms: d + -1d = 0
25.14 + -1d = -15.3 + 0
25.14 + -1d = -15.3
Add '-25.14' to each side of the equation.
25.14 + -25.14 + -1d = -15.3 + -25.14
Combine like terms: 25.14 + -25.14 = 0.00
0.00 + -1d = -15.3 + -25.14
-1d = -15.3 + -25.14
Combine like terms: -15.3 + -25.14 = -40.44
-1d = -40.44
Divide each side by '-1'.
d = 40.44
Simplifying
d = 40.44
Answer:
22.4
Step-by-step explanation:
using altitude theorem, the height of the triangle is 20
let y = height
10/y = y/40
y² = 400
y =
or 20
Now we can us the Pythagorean Theorem to find 'x':
10² + 20² = x²
100 + 400 = x²
x=
≈ 22.4
Let's first get the representation of tan
We also need to understand how to convert radians to degrees

For question 1
since tan > 1
It must be in either first quadrant or third quadrant as shown in the diagram above
Answer:
Arithmetic Progression is another way to say Arithmetic sequence. It is basically a sequence of numbers that the difference between the consecutive terms are constant.
Heres and example:
1, 3, 5, 7, 9, 12, 15, 18.....etc.
This has an arithmetic progression of 2.
Hope this helped! Reach out to me if you have any more questions about this!