The formula for determining the distance of the focus from the vertex is as follows,
f = x² / 4a
where f is focus, x is the radius (half the value of diameter), and a is the depth. Substituting the known values to the given equation,
f = (30/2 mm)² / (4)(5 mm)
f = 11.25 mm
<em>ANSWER: 11.25 mm</em>
Answer: D
Step-by-step explanation:
All would add up to 241 instead of 2.41 because you are not using decimals for the constants (Example: 25q not .25q)
Answer:
There were 3 adults
Step-by-step explanation:
Step 1: Derive the first expression
a+c=10...equation 1
where;
a=number of adults
c=number of children
And total number of people=10
Step 2: Derive the second expression;
Total cost of tickets=(price per child ticket×number of children)+(price per adult ticket×number of adults)
where;
Total cost of tickets=$186.50
price per child ticket=$15.95
price per adult ticket=$24.95
number of children=c
number of adults=a
replacing;
(15.95×c)+(24.95×a)=186.5
24.95 a+15.95 c=186.5....equation 2
Step 3: Combine equation 1 and 2 and solve simultaneously
24.95 a+15.95 c=186.5
-
24.95(a+c=10)
(24.95 a-24.95 a)+(15.95 c-24.95 c)=186.5-(24.95×10)
-9 c=-63
c=-63/-9
c=7
replace the value for c in equation 1
a+c=10
a+7=10
a=10-7
a=3
There were 3 adults
The y - intercept of an equation is the value of y when x is substituted with zero. From the given equation,
y = 25x + 225
Substituting,
y = (25)(0) + 225
y = 225
Thus, the y - intercept of the given equation is 225.
Answer:80 mirror tiles will be needed to cover the wall is 80
Step-by-step explanation:
The dimension of one wall in living room is 8 feet by 10 feet. The wall is rectangular in shape. The area of a rectangle is expressed as
Length × width. The area of one wall in the living room would be
8 × 10 = 80 feet^2
The Williams family wants to cover one wall in their living room with 1-foot square mirror tiles.
The number of mirror tiles that they will need to cover the wall would be
80/1 = 80 mirror tiles.
