Answer:
If the diameter is 18 then the radius r=9 so the area is:
πr2=81π≅254.469
Step-by-step explanation:
Explanation:
The area of a circle is given by the formula πr2 where r is the radius.
Answer:
-2.9
Step-by-step explanation:
-10x + 1 + 7 = 37
Combine like factors.
-10x + 8 = 37
Subtract 8 from both sides.
-10x = 29
Divide both sides by -10.
x = -2.9
To solve this problem we can find the area of the whole rectangle, then find the area of the smaller white rectangle inside the whole rectangle. Lastly, we can subtract the area of the smaller rectangle from the area of the whole rectangle which leaves us with the area of the shaded region.
Area of whole rectangle = length x width
= (3x + 6) (2x + 4)
= 6x squared + 24x + 24
Area of small rectangle = length x width
= (x-3) (x - 1)
= x squared - 4x + 3
Area of shaded region = area of whole rectangle - area of small rectangle
= 6x squared + 24x + 24 - x squared + 4x - 3
= 5x squared + 28x + 21
Answer:the maximum number of ccf Jake can use if he wants his bill to be no more than $58.00 is $15.3
Step-by-step explanation:
Let x represent the number of ccf of water that Jake uses in a month.
Jake's water bill is $24.40 per month plus $2.20 per ccf (hundred cubic feet) of water. This means that if she uses x ccf of water in a month, her total water bill would be
24.40 + 2.2x
Therefore, the maximum number of ccf Jake can use if he wants his bill to be no more than $58.00 would be
24.40 + 2.2x ≤ 58
2.2x ≤ 58 - 24.4
2.2x ≤ 33.6
x ≤ 33.6/2.2
x ≤ 15.3
<h2>Answer: slope = ¹¹/₁₃
</h2><h3>Step-by-step explanation: </h3>
The question gives us two points, (−13, −19) & (13, 3), from which we can find the slope and later the equation of the line.
Finding the Slope
The slope of the line (m) = (y₂ - y₁) ÷ (x₂ - x₁)
= ((3 - (-19)) ÷ (13 - (-13))
= 22 ÷ 26
= ¹¹/₁₃
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<em>Checking my answer:</em>
<em>We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line. If the line passes through both of the points then we calculated the slope correctly.</em>
⇒ y + 19 = ¹¹/₁₃ (x + 13)
<em>I have included a Desmos Graph that I graphed using the information equation (including the slope) and the points given. </em>
