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3 years ago

Solve the triangle. a = 10, b = 23, C = 95°

1 answer:

3 0

C² = a² + b² - (2ab * cosC)
<span>c² = 10² + 23² - (2 * 10 * 23 * cos95) </span>
<span>c² = 100 + 529 - (460 * -.08715) </span>
<span>c² = 629 - (-40.1) </span>
<span>c² = 669.1 </span>
<span>c = 25.87 </span>

<span>(Sin C) / C = (Sin A) / A </span>
<span>(Sin 95) / 25.87 = SinA / 10, Remember 0 < A < 85 </span>
<span>(10 * Sin95) / 25.87 = Sin A </span>
<span>A = arcsin ((10 * sin95) / 25.87) </span>
<span>A = 22.65º </span>

<span>B = 180 - A - C </span>
<span>B = 180 - 95 - 22.65 </span>
<span>B = 62.35º </span>

<span>I hope this helps. Have a good day.</span>

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Blank minus 3/8 equals 3/4

jeka57 [31]

Answer:

1 1/8

Step-by-step explanation:

3/4 = 6/8 ( 3x2= 6 numerator ) ( 4x2= 8 denominator )

6/8 + 3/8 = 9/8 = 1 1/8

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2 years ago

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Which represents the solution set of 5(x+5) < 85?

Maru [420]

Answer:

$\Huge \boxed{X$

Step-by-step explanation:

To solve this problem, first you have to isolate it on one side of the equation. Remember to solve this problem, find represents the solution of 5(x+5)<85.

First, you divide by 5 from both sides.

$\displaystyle \frac{5(x+5)}{5}$

Solve.

$\displaystyle 85\div5=17$

$\displaystyle x+5$

Next, subtract 5 from both sides.

$\displaystyle x+5-5$

Solve.

$\displaystyle 17-5=12$

As a result, the correct answer is x<12.

<h2>Hope this helps! </h2><h2 /><h2>Have a wonderful blessing day! :)</h2><h2 /><h2>Good luck! :)</h2>

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2 years ago

bought a new car in 2011 for 25000. in 2015, joe was offered a fair price of 12000 for his car but he turned it down. build a li

Mrrafil [7]

Answer:

$y=-3,250t+25,000$

Step-by-step explanation:

we know that

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$y=mx+b$

where

m is the slope of unit rate of the linear equation

b is the y-intercept or initial value of the linear equation

Let

t ----> the number of years since 2011

y --->the car's value

In this problem the year 2011 represent t=0

the year 2015, represent t=4 years (2015-2011)

we have the ordered pairs

(0,25,000) ----> represent the y-intercept

(4,12,000)

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The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{t2-t1}$

substitute the values

$m=\frac{12,000-25,000}{4-0}$

$m=\frac{-13,000}{4}$

$m=-\$3,250\ per\ year$ ---> is negative because is a decreasing function

we have

$b=\$25,000$ ----> value of y when the value of x is equal to zero (initial value)

substitute the given values

$y=-3,250t+25,000$

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2 years ago

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Answer:

There are 4 possibilities

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option 1.1: customer 1 withdraws 2 $20 bills AND customer 2 withdraws 2 $20 bills

option 1.2: customer 1 withdraws 2 $20 bills AND customer 2 withdraws 4 $10 bills

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option 2.2: customer 1 withdraws 4 $10 bills AND customer 2 withdraws 4 $10 bills

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3 years ago

Greatest common factor of 18 and 42

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