We know that
[scale factor ]=[real]/[drawing]
[real]=[drawing]*[scale factor ]
step 1
find the real values
if the base of Riley's drawing is 10 centimeters
[real]=[drawing]*[scale factor ]--------> 10*3-------> 30 cm
the base of the triangular clock face is 30 cm
the height of Riley's drawing is 15 centimeters
[real]=[drawing]*[scale factor ]--------> 15*3-------> 45 cm
the height of the triangular clock face is 30 cm
the area of the triangular clock face is-----> 45*30/2-------> 675 cm²
the answer is the option C. 675 square centimeters
Answer:
$662.77
Step-by-step explanation:
Data provided in the question:
Amount Mary owes = $750
Discount rate, r = 16%
Time period = 10 months = years = 0.833 years
Now,
Amount Mary owes = Loan Amount × ( 1 + r )ⁿ
or
750 = Loan amount ×
or
750 = Loan Amount × 1.131
or
Loan Amount = $662.77
The amount of the loan she should ask for so that her proceeds are $750 is $662.77
Answer:
135
Step-by-step explanation:
Greatest value: 90 degrees F
Least value: -45 degrees F
90-(-45)=135
Answer:
18
Step-by-step explanation:
make a ratio relation:
3 trainers : 12 dogs
x trainers : 72 dogs
3/12 = x/72
solve for x, and you get 18
Answer:
(x - 3)² + (y + 5)² = 10
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k) = (3, - 5 ) , then
(x - 3)² + (y - (- 5) )² = r² , that is
(x - 3)² + (y + 5)² = r²
r is the distance from the centre to a point on the line
Calculate r using the distance formula
r =
with (x₁, y₁ ) = (3, - 5) and (x₂, y₂ ) = (6, - 4)
r =
=
=
= ⇒ r² = ( )² = 10
(x - 3)² + (y + 5)² = 10 ← equation of circle