Answer:
Step-by-step explanation:
Let the total number of action figures = x
75% of x = 48
Remaining action figures need to be collected = total figures - number of action figures I have
= 64 - 48 = 16
Number of weeks = 16 ÷ 2 = 8
It will take 8 weeks to collect 16 action figures.
Answer: perimeter of triangle ABC to the nearest tenth = 27.4
Step-by-step explanation: Given that
vertices are
A(- 4, 5), B(- 4, - 4) , and C(3,-4)
Length AB = root( [-4-5]^2 + [-4+4]^2)
Length AB = sqr(9^2) = 9
Length AC = root( [-4-5]^2 + [3+4]^2)
Length AC = sqr( 9^2 + 7^2)
Length AC = sqr(130) = 11.4
Length BC = root( [-4+4]^2 + [3+4]^2)
Length BC = sqr( 7^2) = 7
Perimeter = 9 + 11.4 + 7 = 27.4
Answer:
55°
Step-by-step explanation:
Using cosine law
67² = 74² + 14² - 2(74)(14)cos(L)
cos(L) = 169/396
L =55.18378419
Answer:
a) 
b) 
Step-by-step explanation:
Recall that given a function f(x,y,z) then 
. To find f, we will assume it exists and then we will find its form by integration.
First assume that F = 
. This implies that
if we integrate with respect to x we get that
for some function g(y,z). If we take the derivative of this equation with respect to y, we get
This must be equal to the second component of F. Then
This implies that 
, which means that g depends on z only. So 
Taking the derivative with respect to z and making it equal to the third component of F, we get
which implies that 
which means that g(z) = K, where K is a constant. So
b) To evaluate 
we can evaluate it by using f. We can calculate the value of f at the initial and final point of C and the subtract them as follows.
Recall that 
so 
Also 
so 
So
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