Answer:
![\frac{19}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B19%7D%7B4%7D)
Step-by-step explanation:
Multiply the whole number by the denominator.
![4*4 = 16](https://tex.z-dn.net/?f=4%2A4%20%3D%2016)
Add the numerator (3) to 16.
![16 + 3 = 19](https://tex.z-dn.net/?f=16%20%2B%203%20%3D%2019)
19 will be our new numerator for the improper fraction. The original denominator (4) stays the same.
![4\frac{3}{4} = \frac{19}{4}](https://tex.z-dn.net/?f=4%5Cfrac%7B3%7D%7B4%7D%20%3D%20%5Cfrac%7B19%7D%7B4%7D)
Answer:
K = (1/2)r^2(sin(θ) +θ)
Step-by-step explanation:
The area of the triangle to the left is ...
A1 = (1/2)r^2·sin(180°-θ) = (1/2)r^2·sin(θ)
The area of the sector to the right is ...
A2 = (1/2)r^2θ
so the total area of the blue shaded region is ...
K = A1 + A2 = (1/2)r^2·sin(θ) + (1/2)r^2·θ
K = (1/2)r^2(sin(θ) +θ)
Answer:
51 degrees
Step-by-step explanation:
Subtract 129 from 180 to get angle 1
Brainliest please
Happy holidays
Answer:
a) h(x)
b) q(x)
c) w(x)
Step-by-step explanation:
Finding the answers for this is easy. Take two values for x that shows a different Y-value for each function on the graph and place them in the equations suggested to see which equation match their Y-value on the graph.
Let's take x = -1 and x = 1.
a) h(x) = | -x + 3 |
| - (-1) + 3| = | 4 | = 4
| - 1 + 3 | = | 2 | = 2
h(x) passes through (-1,4) and (1,2)
b) q(x) = | x | + 3
|-1| + 3 = 4
| 1 | + 3 = 4
q(x) passes through (-1,4) and (1,4)
c) w(x) = | x+ 3 |
| -1 + 3 | = | 2 | = 2
| 1 + 3 | = | 4 | = 4
w(x) passes through (-1,2) and (1,4)