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3 years ago

Solve the formula S=n/2(a+L) for L

Mathematics

1 answer:

Maru [420]3 years ago

4 0

$\frac{n}{2(a+l)}$

$\frac{S}{N} = 2(A+L)$

$\frac{S}{2N} = A+L$

$L= \frac{S}{2N} - A$

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Find the 4th term (x-y)^12

maria [59]

Answer:

The fourth term of the expansion is -220 * x^9 * y^3

Step-by-step explanation:

Question:

Find the fourth term in (x-y)^12

Solution:

Notation: "n choose k", or combination of k objects from n objects,

C(n,k) = n! / ( k! (n-k)! )

For example, C(12,4) = 12! / (4! 8!) = 495

Using the binomial expansion formula

(a+b)^n

= C(n,0)a^n + C(n,1)a^(n-1)b + C(n,2)a^(n-2)b^2 + C(n,3)a^(n-3)b^3 + C(n,4)a^(n-4)b^4 +....+C(n,n)b^n

For (x-y)^12, n=12, k=3, a=x, b=-y, and the fourth term is

C(n,3)a^(n-3)b^3

=C(12,3) * x^(12-3) * (-y)^(3)

= 220*x^9*(-y)^3

= -220 * x^9 * y^3

3 0

3 years ago

What expression can be used for estimating 868÷29?

Lelu [443]

One expression u can use is 900÷30
Round 868 up to 900
and round 29 up is 30

4 0

3 years ago

Find the lateral area

Dahasolnce [82]

Answer:

228

Step-by-step explanation:

3 0

2 years ago

Select the correct answer from the drop down menu. with references to the figure, sin x =

Lubov Fominskaja [6]

Answer:

.894

Step-by-step explanation:

First thing to do is to solve for the height of the triangle, BD. That's easy. We have the length of the hypotenuse and the base, so Pythagorean's Theorem gives us that the height is 8.003255588 which rounds nicely to 8. Now you have to call on the fond memories you have of the geometric mean in right triangles to solve the rest. For the sin of x you need the hypotenuse of that smaller right triangle on the left, side AB. First let's use geometric mean to find AD. The formula for that, now that we know the height, is

$BD^2=(AD)(DC)$

Filling that in with numbers we have

$8^2=(AD)16$ and

64 = 16(AD). Solve for AD to get that AD has a length of 4. Now we know two of the three sides in that smaller triangle on the left and can solve for the hypotenuse.

$8^2+4^2=c^2$ and