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Vesnalui [34]
3 years ago
12

Why is 12 a composite number

Mathematics
2 answers:
Dennis_Churaev [7]3 years ago
7 0
A composite number has more than 2 factors<span>factors of 12 are:1x12, 2x6 3x4</span>
Gwar [14]3 years ago
5 0
Because it's a positive number that can be gained by multiplying two smaller positive numbers.
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The sides of a Triangle are in the ratio 11 19:24 and
Paul [167]

Answer:  The area of the triangle with the perimeter of 540 cm is approximately 10200 cm²

More exactly: 10182 cm²

Step-by-step explanation:  A=\frac{bh}{2}

240 × 84.85  = 10182

To get the height of the triangle, it takes some trigonometry;

Given 3 sides of a triangle, it is possible to calculate the angles using the Law of cosines and the formula cos A =\frac{b^{2} +c^{2} -a^{2} }{2bc}

We will need the measure of angle A, then use the sine of A to get the height of the line from angle C perpendicular to the base, side b.

We can use the dimensions given in the proportions and then multiply by 10 because the sides given add to a perimeter of 54, one tenth of the 540 cm of the actual triangle. The angles of the similar triangles are congruent.

side a = 19, side b = 24, side c = 11

24² + 11² - 19²   is   576 + 121 - 361 = 336

2(24)(11) = 528

cos A = 336 / 528  that is  0.636364\cos^{-1}\left(.6363634\right)= 50.47°

sin(50.47) = 0.77129

0.77129 × 11 = 8.48 is the height  Rounding to 8.5 would be reasonable for this height

Using rounded values here to calculate Area :

85 × 240/2 = 10200 cm²

8 0
2 years ago
Hello!? what's 3 + 3
rjkz [21]

Answer:

6

Step-by-step explanation

4 0
2 years ago
Read 2 more answers
The polygons are similar. Find the missing side length.
zloy xaker [14]

Answer:

44

Step-by-step explanation:

Since triangles are similar, so their corresponding sides would be in proportion.

Therefore,

\frac{24}{32}  =  \frac{33}{?}  \\  \\  \\ ? =  \frac{32 \times 33}{24}  \\  \\ ? =  \frac{4\times 33}{3} \\  \\ ? =  4\times 11 \\  \\  ? =  44 \: units

6 0
2 years ago
The population of a city has increased by 27% since it was last measured. If the current population is 38,100, what was the prev
adoni [48]

Answer:

the previous population was 62,000.

Step-by-step explanation:

The current population of a city = 83,700

The population of a city has increased by 35% since it was last measured.

We have to calculate the previous population before increasing 35%.

Let the previous population be p

p +(35% × p) = 83,700

p + 0.35p = 83,700

1.35p = 83,700

p =  

p = 62,000

Therefore, the previous population was 62,000.

3 0
3 years ago
Read 2 more answers
Given a dilation around the origin, what is the scale factor K?<br><br> Do, K = (20,16) → (-5,-4)
Rudik [331]

Answer:

Scale factor, K = -1/4

Step-by-step explanation:

Dilation of any image changes its size and the shape remains same.

The scale factor is the ratio of dilated image to original image.

Dilation rule: (x, y) → (kx, ky), where k is the scale factor.

It means k = x₂/x₁ or y₂/y₁

K = -5/20 = -1/4 or K = -4/16 = -1/4.

<u>The negative value of scale factor (K) indicates dilations with 180 degree rotation of the dilated image.</u>

Hence the scale factor is K = -1/4.

5 0
3 years ago
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