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torisob [31]
3 years ago
13

Find the dimensions of a rectangle whose area is 180 cm2 and whose perimeter is 54cm

Mathematics
1 answer:
IgorLugansk [536]3 years ago
5 0

Answer:

{12,15}

Step-by-step explanation:

54 = 2(L + W)

27 = L + W

27 - L = W

LW = 180

L(27 - L) = 180

27L - L2 = 180

0 = L2 - 27L + 180                FOIL

0 = (L - 12)(L - 15)

{12, 15}

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ONLY ANSWER IF YOU KNOW THE ANSWER JUST FOR POINTS. Thank you! :)
Ksivusya [100]
Since triangle DEF = triangle JKL, m<D = m<J, m<E = m<K, m<F = m<L.
m<F = m<L = 90 degrees
m<K = m<E = 5(m<D)
but m<E + m<D = 90 degrees        [right angled triangle]
5(m<D) + m<D = 90 degrees
6(m<D) = 90 degrees
m<D = 90 / 6 = 15 degrees.
5 0
3 years ago
Read 2 more answers
What is the value of hin the figure below? In this diagram, ABAD ~ ACBD.
VashaNatasha [74]

Answer:

  F.  8

Step-by-step explanation:

The ratio of the long side to the short side is the same in similar triangles. The long side of triangle BAD is AD, which has length 20-4 = 16.

  BD/DE = AD/BD

  h/4 = 16/h

  h^2 = 64 . . . . . . . multiply by 4h

  h = 8 . . . . . . . . . . take the square root (matches selection F)

_____

<em>Comment on this geometry</em>

BD = √(AD·DC) is called the "geometric mean" of the segments AD and DC. This geometry has some other geometric mean relationships as well:

BC = √(AC·DC)

BA = √(AC·AD)

8 0
3 years ago
Select the correct answer. What is the domain of the function f(x) = 4x − 16? all real numbers all positive real numbers all pos
bagirrra123 [75]
Hello!

Since the function has no undefined points or domain constants the answer is all real numbers

The answer is all real numbers

Hope this helps!
8 0
3 years ago
Read 2 more answers
Rewrite the expression as an equivalent expression that does not contain powers of trigonometric functions greater than 1.
stich3 [128]
We are asked to express cos^ 3 x in terms of  powers of trigonometric functions not greater than 1

cos ^ 3 x is equal to cos x * cos^2 x. 
<span>cos^2 x = 1 - sin^2 x.
</span>sin^2 x  = (1 - cos 2x) /2 

the answer is cos ^ 3 x = cos x * (1 - <span> (1 - cos 2x) /2 )</span>




5 0
3 years ago
Write an expression for "m decreased by 2.”
NISA [10]

Answer:

m-2

Step-by-step explanation:

m is being subrtacted by 2

8 0
3 years ago
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