Step-by-step explanation:
5x + 5y = -5 , when y = 1
5x + 5.1 = -5
5x + 5 = -5
5x = -5 - 5
5x = -10
x = -10/5
x = -2
Answer:
8.7 cm
Step-by-step explanation:
The question is a 2-two-step Pythagoras theorem. (c^2 = a^2 + b^2)
Consider as such, If I were to draw a diagonal line along the base of the cube what is the length of the diagonal line. To find out that we use the theorem. We can substitute a for 5 and b for 5 as well. So
a^2 +b^2 = c^2
5^2 + 5^2 = c^2
25 + 25 = c^2
√50 = c
Then since the line side of the cube is on a 3d angle we need to do the same process again but now using the imaginary diagonal line that we just calculated and the height (5).
a^2 +b^2 = c^2
√50^2 + 5^2 = c^2
50 + 25 = c^2
√75 = c
c = 8.6602...
<em>when rounded to 1 d.p.</em>
c = 8.7
Line AB is 8.7 cm long.
Answer:
V = 381 in³
Step-by-step explanation:
The figure is composed of a rectangular prism and a triangular prism.
The volume (V) of the complete figure is
V = volume of rectangular prism + volume of triangular prism
= (16 × 7 × 3 ) + ( 
× 3 × 5 × 6 )
= 336 + 45
= 381 in³
18 glasses of water
3.6/.2=18
Answer:
56
Step-by-step explanation:
The angle sum theorem *I think* is that for an n-sided shape, the total sum of its angles is 180(n-2).
The sum of a triangles' angles is 180 degrees.
Therefore 4v-44 = 180.
v - 11 = 45
v = 56 degrees
Note: always check if the answer makes sense
