Step-by-step explanation:
as the graphic shows, there are 2 objects : 1 block and 1 triangular shaped half-block.
the block is
7cm × 6cm × 2cm
the half-block is
8cm × 7cm × 6cm
with 10cm being the length of the tilted "roof" area.
the 2 sides facing each other are not visible to the observer, so, they are not part of the surface area of the composite figure.
let's start with the block :
top and bottom 7×2
front and back 6×2
no left (fully covered by the half-block)
right 6×7
that gives us :
2 × 7×2 = 2×14 = 28 cm²
2 × 6×2 = 2×12 = 24 cm²
6×7 = 42 cm²
in total : 94 cm²
the half-block :
top 10×7
bottom 8×7
front and back (triangles) 8×6/2
no left (due to being a half-block)
no right (fully covered by the block)
that gives us :
10×7 = 70 cm²
8×7 = 56 cm²
2 × 8×6/2 = 2×24 = 48 cm²
in total : 174 cm²
so, the complete surface area of the composite figure is
94 + 174 = 268 cm²
Answer:
x + 21
Step-by-step explanation:
Multiply 9.75 by 1.5 to get 14.63 fluid ounces.
16 meters
explanation:
8+8(since there’s two sides) =16
48-16=32
32/2= 16
so, each longer side is 16 meters
<h3>
Answer: Choice B</h3>
angle B = 118, a = 17, c = 18
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Explanation:
Use the given angles to find angle B.
A+B+C = 180
B = 180-(A+C)
B = 180-(30+32)
B = 118
Now use the law of sines to find side 'a'
Make sure your calculator is in degree mode.
a/sin(A) = b/sin(B)
a/sin(30) = 30/sin(118)
a = sin(30)*30/sin(118)
a = 16.9885507603356
a = 17
Follow similar steps to find side c
c/sin(C) = b/sin(B)
c/sin(32) = 30/sin(118)
c = sin(32)*30/sin(118)
c = 18.005120638611
c = 18
