The answer is 41 inches. Since <span>△HKS∼△DLY, so the measurements of the angles are just the same. So if the sides are 15 x 20 x 32. Then to get the sides of the other triangle is simply adding what is the measurement of the sides from the first triangle. so it is 24 x 29 x 41. So the answer of DY is equal to 41 inches.</span>
Answer:
Step-by-step explanation:
Given,
Length of a rectangular prism ( l ) = 10 cm
Width of a rectangular prism ( w ) = 2.5 cm
Height of a rectangular prism ( h ) = 0.9 cm
Volume of a rectangular prism ( V ) = ?
<u>Finding </u><u>the</u><u> </u><u>volume</u><u> </u><u>of</u><u> </u><u>a</u><u> </u><u>rectang</u><u>ular</u><u> </u><u>prism</u>
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The correct answer is option (b)
Given:
f(x) = 2x + 1
g(x) = 4x^2
h(x) = x^2
Now, g(h(x)) = 4 (x^2)^2 = 4x^4
Now, f(g(h(x))) = 2(4x^4) +1 = 8x^4 + 1
Thus, option b is correct answer
For a quadratic of the form
, we have the quadratic formula
,
where a is the coefficient (number before the variable) of the squared term, b is the coefficient of the linear term, and c is the constant term.
So, given
, we can get that
, and
. We substitute these numbers into the quadratic formula above.
This is our final answer.
If you've never seen the quadratic formula, you can derive it by completing the square for the general form of a quadratic. Note that the
symbol (read: plus or minus) represents the two possible distinct solutions, except for zero under the radical, which gives only one solution.
Interest in a month
2103.24 * (5.1/100) / 12
8.938
interest in 10 months
<span>8.938 * 10
</span>89.388
Final account balance
2103.24 + 89.388
2192.628