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Mars2501 [29]
2 years ago
8

Given: ΔABC; b= 10; c = 14, and ∠A = 54°. Find the length of side a to the nearest whole number.

Mathematics
1 answer:
algol132 years ago
8 0
We can solve for the length of side a to the nearest whole number using the Laws of Cosines such as the formula is shown below:
a²=b²+c²-2bcCosA
Solving for the value of a, we have:
a²=10²+14²-2(10)(14)cos54°
a²=131.42
a=11.46
The answer is 11.46 or 11.5.
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At the end of October, Jane's credit card balance was $1,200. On November 16, she made $500 of purchases. On November 26, she pa
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Answer:

Average day end balance using weighted average = $1,316.667

Average day end balance using simple average = $1,050

Step-by-step explanation:

Provided opening balance = $1,200

During the month addition in such balance = $500

New balance as on 16 November = $1,200 + $500 = $1,700

Further by the end of month of November balance after payment = $1,700 - $800

= $900

Thus, opening balance = $1,200

Closing = $900

Simple average = \frac{1,200 + 9,00}{2} = 1,050

Day end balance = $1,050

For this weighted average can be done

First 15 days balance = $1,200 as no transaction was done.

From 16  to 25 November balance increased by $500 = $1,700 for 10 days

Remaining days = 5 days = $1,700 - $800 paid = $900

Using weighted average we have

\frac{(1,200 \times 15) + (1,700 \times 10) + (900 \times 5)}{30} = \frac{39,500}{30} = 1,316.667

Day end balance = $1,316.667

3 0
3 years ago
WILL CHOOSE BRAINLIEST. Choose the best estimate of the width of a human hair.
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Answer:

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Someone pls help me I turn this in today the answer is there I just need to show work pls help me​
dolphi86 [110]

Hello and Good Morning/Afternoon

<u>Let's tale this problem step-by-step</u>:

<u>What does the problem want:</u>

 \hookrightarrow \text{the unemployment compensation}

<u>Employment compensation</u> =55% of the average of the last 26-week salary

  \hookrightarrow \text{Average of Natalia's salary} = (\text{all the salaries added up}) / (\text{number of weeks})\\\hookrightarrow \text{Average of Natalia's salary} = 18940 / 26 = 728.46 \text{ (Rounded down)}

         ⇒ 55% of that average

                \hookrightarrow \frac{55}{100} *728.46 = 400.65

<u>Answer: $400.65</u>

Hope that helps!

#LearnwithBrainly

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