Answer:
(A)If the points are on the same line, then the points are collinear. True
Step-by-step explanation:
Given the conditional statement:
- Collinear points are on the same line.
Its converse will be:
- If the points are on the same line, then the points are collinear.
This is true because by definition of collinearity, the points must be on the same line. Therefore, no counter example is needed.
<u>The correct option is A.</u>
9514 1404 393
Answer:
- 150.72 cm³
- 314 cm³
- 160 cm³
- 48 cm³
Step-by-step explanation:
Put the given numbers in the relevant formula and do the arithmetic.
<u>right cylinder</u>
V = πr²h = 3.14(4 cm)²(3 cm) = 3.14×48 cm³ = 150.72 cm³
<u>cone</u>
V = 1/3πr²h = 1/3(3.14)(5 cm)²(12 cm) = 3.14×100 cm³ = 314 cm³
<u>pyramid of unknown shape</u>
V = 1/3Bh = 1/3(16 cm²)(30 cm) = 160 cm³
<u>square pyramid</u>
V = 1/3s²h = 1/3(3 cm)²(16 cm) = 48 cm³
Answer:
Step-by-step explanation:
#1
SA=2(LW+LH+WH)
SA=2(5+4+3)
SA=2(12)
SA=24
#2
SA=bH+2LS+bL
SA=4+2x7+8
SA=4+14+8
SA=25
#3
SA=2(LW+LH+WH)
SA=2(13+17+2)
SA=2x32
SA=64
(the rest of the shapes
i can't see but you can use that formula to do it <3 GL!)
Y = mx + b
1) m = slope of the tangent line = derivative at the point (pi/6, 1)
Function: y = 2sinx
Derivative: y ' = 2cosx
evaluate at x = pi/6=> y ' = 2cos(pi/6) = √3
2) equation using the slope and the point (pi/6, 1)
y - 1 = √3 ( x - pi/6 )
y = √3 x - √3(pi/6) +1 =√3 x + 0.093
y = √3 x + 0.093
m = √3, b = 0.093
X^2+6x=68 I think but I’m not sure
