For the square to fit inside the circle without touching it, the diagonal of the square needs to be less than the diameter of the circle.
Using the Pythagorean theorem we can calculate the diagonal of the square:
X = SQRT(5^2 + 5^2)
X = SQRT(25 + 25)
X = SQRT(50)
X = 7.07
The diagonal of the square is 7.07 cm, which is less than the diameter of the circle, 9cm, so it will fit .
Answer:
Total savings = $63 + 12 ( m)
: m = number of driveways shoveled
Step-by-step explanation:
Here, the money earned for each road David shovels = $15
The number of driveway shoveled by David = 12
The total money saved David has after he is done with his work = $243
Now, The number of money saved by shoving 12 driveways
= 12 x ( Money earned by shoveling 1 driveway)
= 12 x ( $15) = $ 180
Total savings = His previous savings + Money earned from Shovel work
⇒ $243 = His previous savings + $ 180
⇒ His previous savings = $243 - $180 = $63
Now, we can write his total savings as:
Total savings = $63 + 12 ( m)
: m = number of driveways shoveled
The required value of y is 2645 / 77 when x = 77.
Step-by-step explanation:
1. Let's check the information given to answer:
if y varies inversely as x, and y = 23 when x = 115. Find y when x=77
2. What is y when x = 77?
As the statement "y varies inversely as x" translates into y = k/x
If we let y = 23 and x = 115, the constant of variation becomes
23 = k ÷ 115
k = 23 × 115
k = 2645
Thus the specification equation is y = 2645 ÷ x . Now, letting x = 77, we obtain
y = 2645 ÷ x
y = 2645 ÷ 77
<u>So, The required value of y = 2645 / 77 when x = 77</u>
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