Answer: the answer is B: 24ft
Step-by-step explanation: To find how wide the triangle is identify your angles. You have a right angle which is equal to 90° and an angle that measures 46°. Add up both of these angles and you'll get 136°. A triangle can only have three angles that add up to 180. So subtract 180 and 136 you get 44. Multiply the hypotenuse by sin(46) to get the length of the side facing the opposite way of the angle that measures 44°. You will get 11.8 which is about 12. The other triangle is a congruent triangle meaning that it's angles and sides are the same. Add both 12's up and you have 24ft as your width for the cottage.
<span><span> 15x2y2+3x3y+75x4</span> </span>Final result :<span> 3x2 • (25x2 + xy + 5y2)
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Step by step solution :<span>Step 1 :</span><span>Equation at the end of step 1 :</span><span><span> (((15•(x2))•(y2))+((3•(x3))•y))+(3•52x4)
</span><span> Step 2 :</span></span><span>Equation at the end of step 2 :</span><span><span> (((15•(x2))•(y2))+(3x3•y))+(3•52x4)
</span><span> Step 3 :</span></span><span>Equation at the end of step 3 :</span><span> (((3•5x2) • y2) + 3x3y) + (3•52x4)
</span><span>Step 4 :</span><span>Step 5 :</span>Pulling out like terms :
<span> 5.1 </span> Pull out like factors :
<span> 75x4 + 3x3y + 15x2y2</span> = <span> 3x2 • (25x2 + xy + 5y2)</span>
Trying to factor a multi variable polynomial :
<span> 5.2 </span> Factoring <span> 25x2 + xy + 5y2</span>
Try to factor this multi-variable trinomial using trial and error<span>
</span>Factorization fails
Final result :<span> 3x2 • (25x2 + xy + 5y2)
</span><span>
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Answer:
Step-by-step explanation:
1119.15×12=13,429.8 deposits per year
cost of principal
PVAO=13,429.8×((1−(1+0.04)^(−15))÷(0.04))=149,317.72
interest
13,429.8×15−149,317.72=52,129.28
down payment
178,000×0.15=26,700
intagible tax
178,000×0.002=356
Total cost
52,129.28+356+149,317.72+26,700
=228,503....answer
Why not start out by writing a linear relationship for the plant height?
h(m) = 10 + 3m, where h is the height in mm and m is the time in years, starting from zero (0).
After 8 months, the plant height is h(8) = 10 mm + 3(8) mm, or 34 mm.
After 3 years (36 months), the plant ht. is h(36) = 118 mm.