Answer:
B : -2
Step-by-step explanation:

Answer:
The length of a side of the base is 20 centimeters.
The area of a lateral side between the bases is about 126.5 square centimeters.
Step-by-step explanation:
It's a rectangular prism with a total volume of 800 cu cm, and a height of 20 cm.
So, the base has an area of... 800/20 = 40 sq cm.
The prism is a cube. NO. If it was a cube, the base would be 400 sq cm (20x20), since the height is 20.
The diagonal of the base is 4 centimeters.
NO. with a base of 40 sq cm, it's impossible to have a diagonal of 4 cm. A diagonal would form a hypotenuse... and an hypotenuse is longer than the two other sides... an hypotenuse of 4 would mean for example sides of about 2 and 3... which gives 6 sq cm for the base, not 40.
The length of a side of the base is 20 centimeters. COULD BE. The base is 40 sq cm, it could have a side of 20 and the other of 2. Without knowing more about the prism than what's included in the question, we can't say YES and we can't say NO.
The area of a base is 40 square centimeters. Yes
The area of a lateral side between the bases is about 126.5 square centimeters. YES, since the height is 20, that would mean one side of the base would be roughly 6.325 cm... for a base area of 6.325 x 6.325 = 40 sq cm.
Answer: y = 4x/3 - 5/2
Step-by-step explanation:
The equation of a straight line can be represented in the slope intercept form as
y = mx + c
Where
c represents the y intercept
m = slope = (y2 - y1)/(x2 - x1)
The given line, L1 passes through A(6, - 7) and B(- 6, 2). The slope of line L1 is
m = (2 - - 7)/(- 6 - 6) = 9/ -12 = - 3/4
If two lines are perpendicular, it means that the slope of one line is the negative reciprocal of the slope of the other line.
Therefore, the slope of line L2 passing through the midpoint, M is 4/3
The formula determining the midpoint of a line is expressed as
[(x1 + x2)/2 , (y1 + y2)/2]
Midpoint, M = [(6 + -6)/2 , (- 7 + 2)/2]
= (0, - 5/2]
This means that the y intercept of line L2 is - 5/2
The equation of L2 becomes
y = 4x/3 - 5/2
Answer:
105
Step-by-step explanation:
A "set" is a group of numbers.
A "positive integer" is a whole number that's bigger than zero.
"divisible by both 15 and 35" means a number that 15 and 35 goes into (with no remainder)
"least" means smallest.
15 and 35 both go into 105.
V( cone ) = 21 cm³
note Vof cone =
V of cylinder
V ( cone ) =
× 63 = 21 cm³