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luda_lava [24]
3 years ago
15

Soryyyyyyyyyyyyyy this one to

Mathematics
1 answer:
alukav5142 [94]3 years ago
5 0
The answer is B - 43.25


The two congruent sides will have congruent angles. One angle measurement is given. Triangle angles equal 180.

Take 180 and subtract the given angle 93.5. Then divide by 2 to get the measurements x and the other unknown.

180 - 93.5 = 86.5

86.5/2 = 43.25
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1) R is the midpoint of PS <br>PR=6x+16 <br>RS=12x-32 determine the following <br>X=<br>RS=<br>PS=
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Answer:

x=8,RS=12*8-32=64,PR=6*8+16=64

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Solve the system y = -x + 7 and y = 0.5(x - 3)2
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\left\{\begin{array}{ccc}y=-x+7\\y=0.5(x-3)^2\end{array}\right\\\Downarrow\\0.5(x-3)^2=-x+7\ \ \ \ |\cdot2\ \ \ /\text{use:}\ (a-b)^2=a^2-2ab+b^2/\\\\x^2-2\cdot x\cdot3+3^2=-2x+14\\\\x^2-6x+9=-2x+14\ \ \ \ |+2x\\\\x^2-4x+9=14\ \ \ \ |-14\\\\x^2-4x-5=0\\\\x^2+x-5x-5=0\\\\x(x+1)-5(x+1)=0\\\\(x+1)(x-5)=0\iff x+1=0\ \vee\ x-5=0\\\\x=-1\ \vee\ x=5

\text{substitute the value of x to the first equation}\\\\\text{for}\ x=-1\to y=-(-1)+7=1+7=8\\\\\text{for}\ x=5\to y=-5+7=2\\\\\text{Answer:}\\x=-1,\ y=8\to(-1,\ 8)\\or\\x=5,\ y=2\to(5,\ 2)

3 0
4 years ago
Please help me answer this. My professor taught us this but with the formula on the right.
ASHA 777 [7]
First lets rearrange the formula to solve for half-life.
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So now we need to find "r" which is the rate of decay.
If we rearrange formula to solve for r:
P e^{rt} = A  \\  \\  r = \frac{ln (\frac{A}{P})}{t}

Substituting this into equation for half-life, you get:
T = (\frac{ ln (1/2)}{ln (A/P)} ) t = \frac{ ln(1/2)}{ln (200/500)} *(48) = 36.31
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