check the picture below.
so the triangular prism is really just 3 rectangles and 2 right-triangles,
now, we know the base of one of the triangles is 2.6, what's its height?
since it's a right-triangle, we can simply use the pythagorean theorem to get "h".
so, we can now, simply get the area of both of the triangles and the three rectangles and sum them up, and that's the area of the triangular prism.
![\bf \stackrel{two~triangles}{2\left[ \cfrac{1}{2}(2.6)(4.5) \right]}~~+~~\stackrel{rectangle}{(2.6\cdot 4.3)}~~+~~\stackrel{rectangle}{(4.3\cdot 3.9)}~~+~~\stackrel{rectangle}{(4.3\cdot 5.2)} \\\\\\ 11.7+11.18+22.36\implies \blacktriangleright 45.24 \blacktriangleleft](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7Btwo~triangles%7D%7B2%5Cleft%5B%20%5Ccfrac%7B1%7D%7B2%7D%282.6%29%284.5%29%20%5Cright%5D%7D~~%2B~~%5Cstackrel%7Brectangle%7D%7B%282.6%5Ccdot%204.3%29%7D~~%2B~~%5Cstackrel%7Brectangle%7D%7B%284.3%5Ccdot%203.9%29%7D~~%2B~~%5Cstackrel%7Brectangle%7D%7B%284.3%5Ccdot%205.2%29%7D%0A%5C%5C%5C%5C%5C%5C%0A11.7%2B11.18%2B22.36%5Cimplies%20%5Cblacktriangleright%2045.24%20%5Cblacktriangleleft)
Answer:
38.5ft²
Step-by-step explanation:
we know the formula for Area is
A=pi*r²
A=38.5
Answer:
5k+9
Step-by-step explanation:
Since it's a square, all four sides are equal so divide the equation of the total by 4.
20k/4=5k
36/4=9
The length of one side of the garden can be represented by the expression:
5k+9
Answer:
ASA
Step-by-step explanation:
You can show the angles at either end of segment BC in triangles MBC and LCB are congruent, so you have two angles and the segment between. The appropriate theorem in such a case is ASA.
Answer:
In Point Slope Form: y+6=4(x-1)
Step-by-step explanation:
<u>First you have to find the points given which are:</u>
<u>Label the points x1, y1, x2, and y2</u>
- It already gives you the slope which is 4.
<u>Plot the points in the equation of Point Slope Form:</u>
<em><u>y1-y2=m(x-x1)</u></em>
<u>Simplify: y1-6=4x-4</u>
<u>It doesn't ask you to simplify but why not! </u>
