Answer:
The answer to your question is Perimeter = 287.3 in
Step-by-step explanation:
AB = 90 in
BC = 80 in
∠B = 50
Perimeter = ?
Process
1.- We need to find AC using Law of sines
A = 42.9 ≈ 43
The sum of the internal angles in a triangle equals 180°
A + B + C = 180°
43 + B + 50 = 180
B = 180 - 43 - 50
B = 87°
AC = 117.3
2.- Find the perimeter
Perimeter = AB + BC + AC
Perimeter = 90 + 80 + 117.3
Perimeter = 287.3 in
Two decimal places to the left or right? If it’s to the right (postitive) then it’s 7037.1 if it’s to the left (negative) then it’s .70371, hope this helped!
Answer:
c- shifted 3 units right and 4 units up
Step-by-step explanation:
In this problem, we have a quadrilateral named as ABCD. Recall that a quadrilateral is a two-dimensional shape having four sides. So, we need to identify what transformation has been performed to get A'B'C'D', which is the same quadrilateral shifted certain units right and up. So take one point, say, B, so how do we need to do to obtain point B'? well, we need to move that point 3 units right and 4 units up, but how can we know this? just count the number of squares you need to move from B to B' horizontally and vertically, which is in fact 3 units right and 4 units up.
Answer:it is 0.007
Step-by-step explanation:0.00741656365
Step-by-step explanation:
I guess the "roof" is the same height front and back, and the triangles go up in the same plane as the wall rectangles.
this object consists of 2 major parts :
1. the rectangular block or prism at the bottom
2. the triangular prism being put across (laying on its side) the top of the block.
at the end we need to add both volumes, and that is the result.
all regular (right) 3D objects have the same basic volume calculation :
based area × height
the volume of a rectangular block or prism is therefore just easily
length × width × height
nothing special.
so, in our case
14×9×8 = 1008 in³
the volume of a triangular prism is then
baseline × triangle height / 2 × prism height
in our case that is
14×5/2 × 9 = 7×5 × 9 = 315 in³
in total the volume of the whole object is
1008 + 315 = 1323 in³
