Answer:
Approximately 11 baker's dozens equal 1 gross.
Step-by-step explanation:
The number of items in a baker's dozen = 13
The gross = 144 items
So, the number of baker's dozen in a gross
=
= 
Hence, approximately 11 baker's dozens equal 1 gross.
Answer:
D) 20
Step-by-step explanation:
x^2 + (y - 2)^2=100
This can be rewritten as
(x-0)^2 + (y - 2)^2=10^2
This is in the form
(x-h)^2 + (y - k)^2=r^2
The radius is 10
The diameter is 2 times the radius
d = 2*r = 2*10 = 20
Answer:

Step-by-step explanation:
We are given that
Equation of curves


Both curves lie on S.
We have to find the equation of tangent plane at P(4,1,4).


Hence, t=0 and u then it satisfied the given point.
Substitute the values in the derivatives


The equation of tangent at point P(4,1,4) is given by




Y = 1
Using y = mx + c.
Compare to y = 1, y = 0x + 1 ,
We can see that the slope m = 0 and the vertical intercept, c = 1.
For the line perpendicular to y = 1
Condition for perpendicularity m₁m₂ = -1
m₁ = 0, m₂ = ?
0*m₂ = -1
m₂ = -1/0 = Negative Infinite or Infinite
Slope of line perpendicular to y = 1, is = Infinite.
Answer : The value of angle B and angle D is 25⁰ and 35⁰ respectively.
Step-by-step explanation :
As we know that the opposite angles are equal in parallelogram.
According to the given figure,
∠A = ∠C
and
∠B = ∠D
Given:
∠B = (3n - 5)⁰
∠D = (2n + 15)⁰
From this we conclude that:
∠B = ∠D
(3n - 5)⁰ = (2n + 15)⁰
3n - 5⁰ = 2n + 15⁰
3n - 2n = 15⁰ - 5⁰
1n = 10⁰
n = 10⁰
∠B = (3n - 5)⁰ = (3×10 - 5)⁰ = 25⁰
∠D = (2n + 15)⁰ = (2×10 + 15)⁰ = 35⁰
Therefore, the value of angle B and angle D is 25⁰ and 35⁰ respectively.