Answer:
The larger angle is 54°
Step-by-step explanation:
Given
Let the angles be: θ and α where
θ > α
Sum = 72
α : θ = 1 : 3
Required
Determine the larger angle
First, we get the proportion of the larger angle (from the ratio)
The sum of the ratio is 1 + 3 = 4
So, the proportion of the larger angle is ¾.
Its value is then calculated as:.
θ = Proportion * Sum
θ = ¾ * 72°
θ = 3 * 18°
θ = 54°
Solve for the first variable in one of the equations, then substitute the result into the other equation.
a
=
−
2
,
b
=
5
a
=
-
2
,
b
=
5
T
Answer:
Giraffe = 10
Guinea Pig = 4
Tiger = 16
Step-by-step explanation:
G GP T = 30
----------------------------------------------------------
X X-6 (X-6)*4
-----------------------------------------------------------
9 3 12 = 24
----------------------------------------------------------
10 4 16 = 30 ✅
----------------------------------------------------------
The slope of a function at a point is the value of its derivative there.
... f'(x) = 5·(2x) + 0 = 10x . . . . . . using the power rule: (d/dx)(xⁿ) = n·xⁿ⁻¹
Then
... f'(4) = 10·4 = 40 . . . . . the slope at x=4
