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2 years ago

9

(A) use the Pythagorean theorem to determine the light of the unknown side of the triangle, (B) determine the perimeter of the t

riangle, and ( C) determine the area of the triangle the figure is not draw to scale

1 answer:

Kruka [31]2 years ago

8 0

Unknown side is 4km, perimeter is 12m, and area is 3.5m^2

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The first time a census was taken in the town of Lynne, the population was 901. Each year after that, the population was about 2

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The coordinates are (0, 901). (:

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3 years ago

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Please help it’s timed !!!! 80 points!!!!

Irina18 [472]

Answer:

The answer to your question is the letter a) √3/3

Step-by-step explanation:

Data

find tan 30°

Use the triangle 30°-60°-90° (see the picture below)

Tangent is the trigonometric function that relates the Opposite side and the adjacent side.

tan Ф = Opposite side / Adjacent side

-Substitution

tan Ф = 1/√3

or 1/√3 √3/√3 = √3/3

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2 years ago

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The top and bottom margins of a poster are each 6 cm and the side margins are each 4 cm. If the area of printed material on the

sweet-ann [11.9K]

Answer:

24 cm wide by 36 cm high

Step-by-step explanation:

The poster with the smallest area will have an aspect ratio that makes the margin dimensions the same percentage of overall dimension in each direction.

Since the ratio of margin widths is 6:4 = 3:2, the poster and printed area will have an aspect ratio of 3:2. That is, the width is ...

width of printed area = √(2/3·384 cm²) = 16 cm

Then the width of the poster is ...

width = left margin + printed width + right margin = 4cm + 16 cm + 4 cm

width = 24 cm

The height is 3/2 times that, or 36 cm.

The smallest poster with the required dimensions is 24 cm wide by 36 cm tall.

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If you need to see the calculus problem, consider the printed area width to be x. Then the printed height is 384/x and the overall dimensions are ...

(x + 8) by (384/x + 12)

We want to minimize the area, which is the product of these dimensions:

a = (x +8)(384/x +12) = 384 +12x +3072/x +96

a = 12x + 3072/x +480

This is a minimum where its derivative is zero.

a' = 12 -3072/x^2 = 0

a' = 1 -256/x^2 = 0 . . . . . . divide by 12; true when x^2 = 256

This has solutions x=±16, of which the only useful solution is x=16.

7 0

3 years ago

A circle is dialated with a scale factor of 2/3. what is the area of the new circle if the area of the original circle is 45 squ

Sveta_85 [38]

Original Circle Area = 45

A = pi * r^2

Plug in what we know:

45 = 3.14 * r^2

Divide 3.14 to both sides:

14.3312102 = r^2

Find the square root of both sides:

r = 3.78565849

Find 2/3 of this:

2/3 * 3.78565849 = 2.52377233

So this is the radius of the newly dilated circle.

A = pi * r^2

A = 3.14 * 2.52377233^2

A = 3.14 * 6.36942677

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8 0

3 years ago

Simplify the expression 5+4•(8-6)^2<br> Please show steps.

-Dominant- [34]

P- parenthesis

( 8 - 6 ) = 2

E- exponents

2^2 = 2 × 2 = 4

M- multiplication / division

4 × 4 = 16

D- division

N/A

A- addition / subtraction

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S- subtraction

N/A

~~

Answer : 21

6 0

3 years ago