Answer:
A. 9 sqrt 2
Explanation:
Plug in hypotenuse and given side into
a^2 + b^2 = c^2 and solve.
Kelsey must spend less than or equal to $65.
The expression 5.50b+7.5 is correct
Kelsey able to purchase 10 books.
On the end Kelsey can spend $2.50 to purchase small present (calendar or book for notes)
Answer:
The height of the tank is 0.5 yards.
Step-by-step explanation:
To determine what is the height, in yards, of a cylindrical water tank that holds 1,884 cubic yards of water and has a diameter of 120 feet, knowing that the volume of a cylinder is equal to pi multiplied by the radius squared, multiplied by the height, the following calculation must be done:
1 foot = 0.3333 yards
R = Diameter / 2
R = 120/2 = 60
3.14 x 60 ^ 2 x H = 1,884
3.14 x 3,600 x H = 1,884
3.14 x 1,200 x H = 1,884
3.768 x H = 1.884
H = 1,884 / 3,768
H = 0.5
Therefore, the height of the tank is 0.5 yards.
Answer:
2406.17 cm³
Step-by-step explanation:
The following data were obtained from the question:
Height (h) = 24.4 cm
Base length (L) = 17.2 cm
Volume (V) =?
Next, we shall determine the base area of the pyramid. This can be obtained as follow:
Base length (L) = 17.2 cm
Base area (B) =.?
B = L × L
B = 17.2 × 17.2
B = 295.84 cm²
Finally, we shall determine the volume of the pyramid. This can be obtained as follow:
Height (h) = 24.4 cm
Base area (B) = 295.84 cm²
Volume (V) =?
V = ⅓Bh
V = ⅓ × 295.84 × 24.4
V = 2406.17 cm³
Thus, we volume of the pyramid is 2406.17 cm³
Step-by-step explanation:
x² + 3 / x - 1 = x + 1
- x² - x
------------
0 x + 3
- x - 1
-------------
0 4
the remainder is 4
