Check the picture below.
so to find the surface area of the triangular prism, we simply add the areas of each of the figures composing it, as you can see is really just 2 triangles an 3 rectangles.
![\bf \stackrel{\textit{\Large Areas}}{\stackrel{triangles}{2\left[ \cfrac{1}{2}(4)(3) \right]}+\stackrel{\textit{rectangles}}{(3\cdot 10)+(4\cdot 10)+(5\cdot 10)}}\implies 12+30+40+50\implies 132](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7B%5Ctextit%7B%5CLarge%20Areas%7D%7D%7B%5Cstackrel%7Btriangles%7D%7B2%5Cleft%5B%20%5Ccfrac%7B1%7D%7B2%7D%284%29%283%29%20%5Cright%5D%7D%2B%5Cstackrel%7B%5Ctextit%7Brectangles%7D%7D%7B%283%5Ccdot%2010%29%2B%284%5Ccdot%2010%29%2B%285%5Ccdot%2010%29%7D%7D%5Cimplies%2012%2B30%2B40%2B50%5Cimplies%20132)
now, to get the volume is simply the area of the triangular face times the length, well, we know the area of one of the triangles is 6, times 10 is just 6*10 = 60.
If you don’t have any of the angles, you would use the law of cosines to find an angle.
Answer:
Yes
Step-by-step explanation:
An integer, also called a "round number" or “whole number,” is any positive or negative number that does not include decimal parts or fractions. For example, 3, -10, and 1,025 are all integers, but 2.76 (decimal), 1.5 (decimal), and 3 ½ (fraction) are not an integer.
Complementary angles are angles whose sum is equal to 90°.
m∠1 = 5x + 4
m∠2 = 7x + 2
m∠1 + m∠2 = 90°.
5x + 4 + 7x + 2 = 90
12x + 6 = 90
12x = 90 - 6
12x = 84
12x / 12 = 84/12
x = 7 Choice B.
m∠1 = 5x + 4 = 5(7) + 4 = 35 + 4 = 39
m∠2 = 7x + 2 = 7(7) + 2 = 49 + 2 = 51
39 + 51 = 90
90 =90
Answer:
Step-by-step explanation:
3/4 = 75%
75% of 84 = 63
Mary weighs 63 kilograms
