Answer:
Daniiel is 33 years old.
The son is 7 years old.
Step-by-step explanation:
x+26=3x
The x represents the son.
To solve for x:
-26=x-3x
-26=-2x
x=13
Since the father will be 3 times his son's age in six years we subtract 6.
x=7
This means the son is 7 years old as of right now. To find the father's age you do 7+26=33
Answer:
-1
Step-by-step explanation:
The answer is 5/2. The equation is already in point slope form. If you recall, the equation for point slope form is y-y1 = m(x-x1) where y1 and x1 are points on the graph, and m is the slope. In the given equation, m is 5/2 so we know it is the slope.
Alternatively, if you are not familiar with the point slope for equation, you can manipulate the equation to the form of y=mx+b where m is the slope and b is the constant. If you solve for y, you get y=5/2x-1 since 5/2 is in the place of m, we know 5/2 is the slope.
Answer:
<em>The perimeter of the pizza slice is 20.1 cm</em>
Step-by-step explanation:
<u>Perimeter of a Sector of a Circle</u>
The arc length of a sector of a circle of radius r and angle θ is given by:
L = rθ
The angle must be expressed in radians.
The total perimeter of the circular sector, including the two radii, is:
P = rθ + 2r
The pizza slice has a radius of r=7 cm and a central angle of θ=50°
Converting to radians:

The perimeter is:

Calculating:
P = 20.1 cm
The perimeter of the pizza slice is 20.1 cm
Answer:
I believe the answer is - they are the same shape but different sizes