Answer:
d. 6
Step-by-step explanation:
The product of lengths to the near and far intersection points is the same for both secants:
PB×PA = PD×PC
We can use this relation to solve for x, then use the value of x to find PD.
7×12 = (3x)(7x)
4 = x² . . . . . . . . . divide by 21
2 = x . . . . . . . . . . take the square root
__
PD = 3x = 3·2
PD = 6
Answer:
2, 2, 3, 5, 7 that is the farthest you can go
Step-by-step explanation:
2,2,3,5,7 prime factorization of 420 but impossible to get 9 factors
Answer:
Step-by-step explanation:
The formula for determining the volume of a cylinder is expressed as
Volume = πr²h
Where
r represents the radius of the cylinder.
h represents the height of the cylinder.
π is a constant whose value is 3.14
From the information given,
Height = 19 cm
Since the base area is 24π cm², we would determine its radius by applying the formula,
Area of circle = πr²
24π = πr²
r² = 24
r = √24
Therefore,
Volume of cylinder = π × (√24)² × 19 = 456π cm³
It is approximately
456 × 3.14 = 1431.8 cm³
Answer:
49038.0952
Step-by-step explanation:
x+0.05x=51490
1.05x/1.05= 51490/1.05
x=49038.0952
Answer:
52
Step-by-step explanation:
If u=(a1i+b1j)=(a1,b1) and v=(a2i+b2j)=(a2,b2), then the dot (scalar) product is:
u.v=(a1,b1).(a2,b2)
a1b1+a2b2
u.v=(8,-7).(3,−4)
(8)(3)+(-7)(−4)
24+28=52
