-19.8 > 3.6y
-19.8/3.6 > 3.6y/3.6
-5.5 > y
Hi there! :)
Answer:
Use the formula V = 1/3(bh) to solve for the volume of the cone where b = πr² where π ≈ 3.14:
Find the area of the base:
b = π(7)²
b = 49π
b = 153.86 mm²
Find the volume:
V = 1/3(153.86 · 7)
V = 1/3(1077.02)
V = 359.006 ≈ 359.01 mm³.
The probability is <span>5.55555555555556% or rounded is 6%.</span>
We have two unknowns: x and y. Now, we have to formulate 2 equations. The first would come from the use of the given ratio:
We use the distance formula to find the distance between coordinates:
3/4 = √[(x-4)²+(y-1)²] / √[(4-12)²+(1-5)²]
√[(x-4)²+(y-1)²] = 3√5
(x-4)²+(y-1)² = 45
x² - 8x + 16 + y² - 2y + 1 = 45
x² - 8x + y² - 2y = 28 --> eqn 1
The second equation must come from the equation of a line:
y = mx +b
m = (5-1)/(12-4) = 1/2
Substitute y=5 and x=12 for point (12,5)
5 = (1/2)(12) + b
b = -1
So, the second equation is
y = 1/2x -1 or x = 2 + 2y --> eqn 2
Solving the equations simultaneously:
(2 + 2y)² - 8(2 + 2y) + y² - 2y = 28
Solving for y,
y = -2
x = 2+2(-2) = -2
Therefore, the coordinates of point A is (-2,-2).
Answer:
A BT = CT
Step-by-step explanation:
BAT ≅ CAT
That means
The angles are the same and the sides are the same by CPCTC
AB = AC
CT = BT
AT=AT
and
< BAT = <CAT
< ATB = <ATC
< TBA = <TCA
Given the choices on the left
A BT = CT is one of them
