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Stels [109]
2 years ago
3

Omar ordered his sister a birthday card for a company that randomly selects a card for their inventory then company has 21 total

cars in inventory 14 of those cards or birthday cards what is the probability of not getting a birthday card
Mathematics
1 answer:
VARVARA [1.3K]2 years ago
8 0
The probability is 7/21 (this is a guess)
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Triangle KLM represents a section of a park set aside for picnic tables. The picnic area will take up approximately 400 square y
svetoff [14.1K]
Given triangle KLM with two sides given as 45 yd and 20 yd and a 25 degree angle opposite the 20 yd side.

We find the angle made at the opposite of the 45 yd side using the sine rule as follows.
\frac{\sin{A}}{a} =  \frac{\sin{B}}{b}  \\  \frac{\sin{25^o}}{20} = \frac{\sin{B}}{45}  \\ \sin{B}= \frac{45\sin{25^o}}{20} = \frac{19.0178}{20} =0.9509 \\ B=\arcsin{(0.9509)}=71.97^o

Thus, the third angle is given by 180 - 25 - 71.97 = 83.03 degrees.

We also use the sine rule to find the third side of the triangle as follows.
\frac{\sin{A}}{a} = \frac{\sin{C}}{c} \\ \frac{\sin{25^o}}{20} = \frac{\sin{83.03^o}}{c} \\ c= \frac{20\sin{83.03^o}}{\sin{25^o}} = \frac{19.8522}{\sin{25^o}} =46.97 yds

Therefore, amount of fencing needed to surround the perimeter of the picnic area = 45 + 20 + 46.97 = 111.97 ≈ 120 yds
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2 years ago
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A dust particle weighs 7.42 × 10-10 kilograms. What is the weight of 5 × 106 dust particles represented in scientific notation?
vova2212 [387]

5 x 106 = 530 particles

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Question show in picture!
Wewaii [24]

Answer: H is the correct answer

Step-by-step explanation:

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A quadratic pattern has a second term equal to 1,a third term equal to -16 and a fifth term equal to -14
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Given are several terms in a quadratic pattern:

a1 = ?
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x       y
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2       1
3      -16
4       ?
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