Answer:
C. 46 degrees
Step-by-step explanation:
In a rotation all angles and side lengths are preserved so the angle measure will be the same in both the image and pre-image.
Answer:
1) D
2) 10
Step-by-step explanation:
sin(30) = opposite/hypotenuse
sin(30) = 5/x
½ = 5/x
x = 5/0.5
x = 10
X would be less than 6 2/3.
Answer:
The function is A = 10√r
Step-by-step explanation:
* Lets explain the meaning of direct variation
- The direct variation is a mathematical relationship between two
variables that can be expressed by an equation in which one
variable is equal to a constant times the other
- If Y is in direct variation with x (y ∝ x), then y = kx, where k is the
constant of variation
* Now lets solve the problem
# A is varies directly with the square root of r
- Change the statement above to a mathematical relation
∴ A ∝ √r
- Chang the relation to a function by using a constant k
∴ A = k√r
- To find the value of the constant of variation k substitute A and r
by the given values
∵ r = 16 when A = 40
∵ A = k√r
∴ 40 = k√16 ⇒ simplify the square root
∴ 40 = 4k ⇒ divide both sides by 4 to find the value of k
∴ 10 = k
- The value of the constant of variation is 10
∴ The function describing the relationship of A and r is A = 10√r
Answer:
f
−
1 (
x
) = x + 12
Step-by-step explanation:
To find the inverse, interchange the variables and solve for
y
.
I hope this helps.
