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Korvikt [17]
3 years ago
13

How many triangles have the following measurements? A=38, a=432, b=382

Mathematics
1 answer:
slavikrds [6]3 years ago
5 0
There is only one such triangle.

_____
You know this because the given angle is opposite the longest given side. You only have ambiguous cases if the given angle is opposite the shorter of two given sides.

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HELP ASAP
Cloud [144]

Answer:

True

Step-by-step explanation:

For example:

HCF of 2 and 3 is 1

5 0
2 years ago
Read 2 more answers
Numbers that add to -0.5 and multiply to 1
Oliga [24]
Short Answer
There are two numbers
x1 = -0.25 + 0.9682i   <<<< answer 1
x2 = - 0.25 - 0.9582i   <<<< answer 2 
 
I take it there are two such numbers.
Let one number = x
Let one number = y

x + y = -0.5    
y = - 0.5 - x       (1)
xy = 1               (2)

Put equation 1 into equation 2
xy = 1
x(-0.5 - x) = 1
-0.5x - x^2 = 1               Subtract 1 from both sides.
-0.5x - x^2 - 1 = 0          Order these by powers
-x^2 - 0.5x -1 = 0           Multiply though by - 1
x^2 + 0.5x + 1 = 0         Use the quadratic formula to solve this.

\text{x = }\dfrac{ -b \pm \sqrt{b^{2} - 4ac } }{2a}

a = 1
b = 0.5
c = 1


\text{x = }\dfrac{ -0.5 \pm \sqrt{0.5^{2} - 4*1*1 } }{2*1}

x = [-0.5 +/- sqrt(0.25 - 4)] / 2
x = [-0.5 +/- sqrt(-3.75)] / 2
x = [-0.25 +/- 0.9682i

x1 = -0.25 + 0.9682 i
x2 = -0.25 - 0.9682 i

These two are conjugates. They will add  as x1 + x2 = -0.25 - 0.25 = - 0.50.

The complex parts cancel out.  Getting them to multiply to 1 will be a little more difficult. I'll do that under the check.

Check
(-0.25 - 0.9682i)(-0.25 + 0.9682i)
Use FOIL
F:-0.25 * -0.25 = 0.0625
O: -0.25*0.9682i
I: +0.25*0.9682i
L: -0.9682i*0.9682i = - 0.9375 i^2 = 0.9375

Notice
The two middle terms (labled "O" and "I" ) cancel out. They are of opposite signs.

The final result is 0.9375 and 0.0625 add up to 1
 
7 0
3 years ago
What is 3w(2+4x-5+y)
Mkey [24]

Answer:

-9w+12wx+3wy

Step-by-step explanation:

just distribute 3w through the parentheses

3 0
3 years ago
Find the slope (m) and the y-intercept (b) of the given line on the graph.
rusak2 [61]

Answer:

Slope: 1; Y-int: (0,2)

Step-by-step explanation:

The slope is rise over run, the equation is y two minus y one divided by x two minus x one.

(3-2) / (1-0) = 1

The y-int. is where the line crosses the y-axis, or the x value is 0.

Hope this helps :)

8 0
3 years ago
when a company produces 5,000 units, variable costs are $35 per unit and total cost in $200,000. What is the total cost when the
Klio2033 [76]
<h2>$320,000 is what the company produces with 8000 units.-------------------------------------------------------</h2><h2>------------------------------------------------------------------------</h2><h2>------------------------------------------------------------------------</h2><h2>------------------------------------------------------------------------</h2><h2>------------------------------------------------------------------------</h2><h2 />
5 0
2 years ago
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