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Shalnov [3]
4 years ago
9

Write the following number in scientific notation. 5,673,091

Mathematics
1 answer:
Studentka2010 [4]4 years ago
7 0

Answer:

5.673091 x 10^6

Step-by-step explanation:

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On the packaging for a triangular sail, the edge measurements for the sail are listed as 7ft x 15ft x 17ft without unfurling the
kirza4 [7]

The law of cosines can be helpful here. The largest angle (C) will be opposite the longest side (c). That law tells us ...

... c² = a² + b² -2ab·cos(C)

Then

... cos(C) = (a² +b² -c²)/(2ab)

We don't actually need the angle. We only need to know the sign of the cosine.

... cos(C) = (7² +15² -17²)/(2·7·15) = -15/210 . . . . negative sign, so C > 90°

The sail has the shape of an obtuse triangle.

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A triangle solver app on your calculator, phone, tablet, or computer can give you the result easily.

5 0
3 years ago
Read 2 more answers
From a standard deck of 52 cards, what is the probability of picking a Heart at random from the deck? A) 1 13 B) 1 26 C) 1 4 D)
monitta

Answer:

C 1/4

Step-by-step explanation:

13/52 = 1/4

6 0
4 years ago
Find the measure of angle x. 217 ° х 103 160 O 320 57 O 114​
Irina-Kira [14]

Answer: 145

Step-by-step explanation:

check

7 0
3 years ago
Question 2 (2 points)
hoa [83]

Answer:

4) The limit does not exist.

General Formulas and Concepts:

<u>Calculus</u>

Limits

  • Right-Side Limit:                                                                                             \displaystyle \lim_{x \to c^+} f(x)
  • Left-Side Limit:                                                                                               \displaystyle \lim_{x \to c^-} f(x)

Limit Rule [Variable Direct Substitution]:                                                             \displaystyle \lim_{x \to c} x = c

Step-by-step explanation:

*Note:

For a limit to exist, the right-side and left-side limits must be equal to each other.

<u>Step 1: Define</u>

<em>Identify</em>

\displaystyle f(x) = \left\{\begin{array}{ccc}5 - x ,\ x < 5\\8 ,\ x = 5\\x + 3 ,\ x > 5\end{array}

<u>Step 2: Find Left-Side Limit</u>

  1. Substitute in function [Left-Side Limit]:                                                       \displaystyle \lim_{x \to 5^-} 5 - x
  2. Evaluate limit [Limit Rule - Variable Direct Substitution]:                          \displaystyle \lim_{x \to 5^-} 5 - x = 5- 5 = 0

<u>Step 2: Find Left-Side Limit</u>

  1. Substitute in function [Right-Side Limit]:                                                     \displaystyle \lim_{x \to 5^+} x + 3
  2. Evaluate limit [Limit Rule - Variable Direct Substitution]:                           \displaystyle \lim_{x \to 5^+} x + 3 = 5 + 3 = 8

∴ since  \displaystyle \lim_{x \to c^+} f(x) \neq \lim_{x \to c^-} f(x)  ,  \displaystyle  \lim_{x \to 5} f(x) = \text{DNE}

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Limits

5 0
3 years ago
plzzzzz help me I can fail algebra. on Sunday, Sean ran 5/7 of the distance he ran on Thursday (9/10). fill in the number of mil
ohaa [14]

Answer:

9/14

Step-by-step explanation:

You multiply the two fractions. So 5/7*9/10, you just multiply across. This would give you 45/70. Then, after simplifying, this fraction is 9/14. So, Sean ran 9/14 of a mile on Sunday. Hope this helps, Sorry if im wrong!!

7 0
4 years ago
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