An architect built a scale model of a shopping mall. On the model, a circular fountain is
20
20 inches tall and
22.5
22.5 inches in diameter. The actual fountain is to be
8
8 feet tall. What will be the diameter of the fountain? (A)
7.1
7.1 feet (B)
9
9 feet (C)
7
7 feet (D)
10.5
10.5 feet
Explanation
Verified
Step 1
1 of 2
Given a circular fountain is 20
i
n
c
h
e
s
inches tall and 22.5 inches in diameter.
Writing above scale as fraction
Height
Diameter
=
20
22.5
Diameter
Height
=
22.5
20
Now given the fact that actual fountain is 8
f
e
e
t
feet i.e 96
i
n
c
h
e
s
inches tall and let its diameter be
x
x
i
n
c
h
e
s
inches, therefore
20
22.5
=
96
x
22.5
20
=
x
96
Answer:
Below.
Step-by-step explanation:
If its a right triangle it will obey the Pythagoras theorem.
17^2 = 289
11^2 + 15^2 = 121 + 225 = 346
- so NOT a right triangle.
Answer:
Radius:
Step-by-step explanation:
Number of pounds of macadamia nuts is 8 pounds and number of pounds of almonds is 4 pounds.
<u>Step-by-step explanation:</u>
Step 1:
Given total pounds of mixture = 12 pounds, cost of macadamia nuts per pound = $9, cost of almonds per pound = $5.25, total cost of mixture per pound = $7.75.
Let number of pounds of macadamia nuts be x and number of pounds of almonds be 12-x.
Step 2:
Form an equation using the above information.
⇒ 9x + 5.25 (12-x) = 12 × 7.75
⇒ 9x + 63 - 5.25x = 93
⇒ 9x - 5.25x = 30
⇒ 3.75x = 30
⇒ x = 8
Number of macadamia nuts is 8 pounds.
Step 3:
Calculate number pounds of almonds
⇒ Number of pounds of almonds = 12 - x = 4 pounds.
