Answer:
The volume of the glass is 217.8 cm³
Step-by-step explanation:
If the glass were initially 4/7 full, that means 3/7 of the volume is still available to hold more juice.
Let v represent the volume of the glass.
Then (3/7)v + 70 cm³ = (3/4)v.
We need to solve this for v.
Here the LCD is 28. Thus,
(3/7)v + 70 cm³ = (3/4)v → (12/28)v + 70 cm³ = (21/28)v.
Subtracting (12/28)v from both sides, we get:
70 cm³ = (9/28)v.
We can isolate v by mult. both sides by the inverse of 9/28, which is 28/9:
(28/9)(70 cm³) = v
The volume of the glass is 217.8 cm³
There would be 63 old houses because 28/63 is the same as 4/9
Answer:

Step-by-step explanation:
We will use the co-function identity for sine, where:

Since sin(21)=0.358=cos(x). This means that:

Solve for x. Add x to both sides:

Subtract 21 from both sides:

Hence:

Answer:
$7.05
Step-by-step explanation:
The answer is B
Solution:
Find perimeter (L+B+L+B)
600+300+600+300= 1,800
1,800/3= 600
600x500= 300,000