Answer:
<u>P (not white) = 2/3</u>
Step-by-step explanation:
<u>Probability (not white)</u>
- No. of non-white marbles / Total marbles
- 8 + 14 + 10 / 8 + 16 + 14 + 10
- 32/48
- <u>2/3</u>
The width of the card to the nearest tenth of an inch is 6.15 inches
<h3>Area of rectangle</h3>
- Width = x
- Length = 2x + 1
- Area = 88 square inches
Area of a rectangle = Length × Width
88 = (2x + 2) × x
88 = 2x² + 2x
2x² + 2x - 88 = 0
x = -b ± √b² - 4ac / 2a
= -2 ± √2² - 4(2)(-88) / 2(2)
= -2 ± √4 - (-704) / 4
= -2 ± √708 / 4
= -1/2 ± √177/2
x = 6.15 or -7.15 inches
The width of the rectangle can not be negative, so, 6.15 inches is the width.
Learn more about rectangle:
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Grand Total: $29.81
Total Bill: $24.84
Sales Tax (8%): $1.84
Total Tip (20%): $4.97
Answer:
She earns $6.50 from the Smiths which is 25 cents more than she earns at the Nelsons.
Step-by-step explanation:
To solve this problem you must find the hourly rate she earns at the Smiths. This will allow you to compare to the hourly rate that is given for the Nelsons. To find the Smiths hourly rate divide $39 by the 6 hours she babysat there. This will have the hourly rate. 39/6=6.5. This means she earns $6.50 an hour for the Smiths. When comparing the rates it is clear that she earned 25 cents more at the Smiths.
Answer:
the height of the tree is 19.2 ft
Step-by-step explanation:
Given;
distance from the foot of the tree, d = 15 ft
angle of elevation; θ = 52°
let the height of the tree = h
Make a sketch of the problem as follows;
↑
↑ h
52°---------------------
15 ft
If completed to form a right triangle by adding the hypotenuse side, we can calculate the height of the tree as follows;
Therefore, the height of the tree is 19.2 ft
