Answer:
m=0
Step-by-step explanation:
The slope is m=0 and the Y intercept should be b= -4 .
Answer:
10^5
Step-by-step explanation:
the reason is because you move the decimal to the right 5 times, which is the positive direction.
Answer:
116
Step-by-step explanation:
supplementary means 180 so 180-64 = 116
hope this helps! :)
Step-by-step answer:
Given:
A triangle
Perimeter = 60 cm
longest side = 4* shortest side (x)
Solution:
longest side = 4x
shortest side = x
third (intermediate side = 60 -x -4x = 60-5x
The triangle inequality specifies that the sum of the two shorter sides must be greater than the longest side to form a triangle. Hence
x + y > 4x
x + 60-5x > 4x
60 - 4x > 4x
8x < 60
x < 60/8 = 7.5, or
x < 7.5
Therefore to form a triangle, x (shortest side) must be less than 7.5 cm.
Examine the options: both 7 and 5 are both less than 7.5 cm.
40, 30 and 25 all have a problem because the longest side (4 times longer) will exceed the perimeter of 60.
Now also examine cases where 4x is NOT the longest side, in which case we need
4x>=y
or
4x >= 60-5x
9x >=60
x >= 6.67
so x=5 will not qualify, because 4x will no longer be the longest side.
The only valid option is x=7 cm
The side lengths for x=7 and x=5 are, respectively,
(7, 25, 28)
5, 20, 35 (in which case, the longest side is no longer 4x=20, so eliminated)
Answer:
(A)24 square units
(C)72 square units
(D)96 square units
Step-by-step explanation:
<u>Triangular face</u>
Height of the Triangle=6 Units
Base of the Triangle=8 Units
Area of the Triangular Face
<u>Rectangular Faces</u>
Area of Rectangular face with dimension 12 by 10=12 x 10=120 Square Units
Area of Rectangular face with dimension 12 by 8= 12 X 8=96 Square Units
Area of Rectangular face with dimension 12 X 6=12 x 6=72 Square Units
From the options, the areas are:
- 24 square units
- 72 square units
- 96 square units
