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.
Answer:
∠S = 21.10°
∠M = 79.45°
PM = 9.16
Step-by-step explanation:
Here Pythagorean theorem and trigonometry suffice to solve our problem.
From the Pythagorean theorem we get:
and

We solve for
in the second equation and get:


Now since

Therefore

and

And finally again from the Pythagorean theorem:


Thus,
∠S = 21.10°
∠M = 79.45°
PM = 9.16.
Shade in 3 boxes and 59 little cubes and there ya go!
Volume of cubes=b*b*b
b=8
then
Volume=2*(8*8*8)=1024 units³
the answer is 1024 units³