5x^2= 2205
Divide both sides by 5
x^2=441
Find the square root of both sides
x= 21
Answer:
28.5 ft^3
58.3 m^3
Step-by-step explanation:
volume of a pyramid = 1/3 x length x width x height
Perimeter of a pyramid = 4 x length
10.1 = 4 x length
length = 10.1 / 4 = 2.525
1/3 x (2.525 x 2.525 x 13.4) = 28.5 ft^3
1/3 x (6.1 x 6.1 x 4.7) = 58.3 m^3
the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero
The answer is <span>a.)(x - 4)2 = 3.
(x - a)</span>² = b can be expressed as:
x² - 2ax + a² = b ⇒ x² - 2ax + a² - b = 0
Our equation is x² - 8x + 13 = 0.
The general formula is x² - 2ax + (a² - b) = 0
Thus:
8x = 2ax and a² - b = 13
Divide both sides of the first equation (8x = 2ax) by x:
8 = 2a ⇒ a = 8 ÷ 2 = 4
Replace a in the second equation (a² - b = 13):
4² - b = 13 ⇒ b = 4² - 13 = 16 - 13 = 3
Now when we have a and b, let's just replace them in the general equation:
(x - a)² = b
(x - 4)² = 3
Answer:
$6
Step-by-step explanation:
She bought a toy for 4 dollars, so we need to subtract that from 88. This gives us 84 dolalrs. She bought 8 shirts and 6 pants, which is 14 items total. Divide 88 by 14 and you get 6.
Hope that helps :)
Step-by-step explanation:
Opposite angles in a cyclic quadrilateral are supplementary.
Therefore 3c = 4d = 180°, c = 60° and d = 45°.