Answer:
(a) (a · b) · c has Meaningless because it is the dot product of two scalars.
(b) (a · b)c has Meaningful because it is a scalar multiple of a scalar and a vector .
(c) |a|(b · c) has Meaningful because it is the product of two scalars .
(d) a · (b + c) has Meaningful because it is the dot product of two vectors .
(e) a · b + c has Meaningless because it is the sum of a scalar and a vector.
(f) |a| · (b + c) has Meaningless because it is the dot product of a scalar and a vector .
Answer:
36°
Step-by-step explanation:
Please refer to the attached figure.
Triangles ANC, AMB, BCN, CBM are all isosceles by virtue of the given congruences. By symmetry, we also claim that ΔABC is isosceles (AB≅AC).
We aren't sure how their internal angles relate, but we can write a couple of equations.
Let x = m∠BAC, y = m∠BCN.
∠NCA = ∠NAC = ∠MBA = ∠MAB = x
∠BCM = ∠BMC = x +y
∠BMC = ∠MBA +∠MAB = 2x
So, we have ...
∠BMC = x +y = 2x ⇒ y = x
And the sum of angles around ΔABC is ...
x +(2x) +(2x) = 180°
x = 180°/5 = 36°
The measure of angle BAC is 36°.
Answer:
1.875
Step-by-step explanation:
the average rate of change of g(x) in the closed interval [ a, b ] is

here [a, b ] = [- 1, 3 ] , then
g(b) = g(3) = 2³ + 1 = 8 + 1 = 9
g(a) = g(- 1) =
+ 1 =
+ 1 = 1.5
then
average rate of change =
=
= 1.875
Answer:
5
Step-by-step explanation:
Use the exponent rule
Simplifying the top of the fraction
5^2*5*5^3=5^2+1+3=5^6
Simplifying the bottom of the fraction 5^4*5=5^4+1=5^5
Our simplified fraction is 5^6/5^5, which is just 5^6-5 which is 5^1 or 5.
Therefore, the answer is 5.