Answer:
I think it is b
Step-by-step explanation:
it is just rotating the size is not changing
Answer:
35 degrees
Step-by-step explanation:
All three angles must add up to 180 degrees
55+90=145
180-45=35
Answer:
The graph in the attached figure
Step-by-step explanation:
we know that
The equation of a vertical parabola in vertex form is equal to

where
a is a coefficient
(h,k) is the vertex
In this problem we have
(h,k)=(1,-4)
substitute

we have
An x-intercept of (-1,0)
substitute and solve for a




The equation is

<u><em>Verify the y-intercept</em></u>
For x=0


The y-intercept is the point (0,-3) -----> is correct
using a graphing tool
see the attached figure
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
38+115=153
but if you were to round it to the nearest 10 i think that its 200? im not use though