Answer:
value of a.b = -4
Step-by-step explanation:
We need to find a.b
a= 4i-4j
b = 4i+5j
We know that i.i =1, j.j=1, i.j =0 and j.i=0
a.b = (4i-4j).(4i+5j)
a.b = 4i(4i+5j)-4j(4i+5j)
a.b = 16i.i +20i.j-16j.i-20j.j
a.b = 16(1) +20(0)-16(0)-20(1)
a.b = 16 +0-0-20
a.b = 16-20
a.b =-4
So, value of a.b = -4
Answer:
<h2>
<em>3</em><em>9</em><em> </em><em>units</em></h2>
<em>Solution,</em>
<em>Total </em><em>area=</em><em>Area </em><em>of </em><em>ABCD+</em><em> </em><em>Area </em><em>of </em><em>triangle </em><em>ADE</em>
<em>
</em>
<em>hope </em><em>this </em><em>helps.</em><em>.</em><em>.</em>
<em>Good </em><em>luck</em><em> on</em><em> your</em><em> assignment</em><em>.</em><em>.</em><em>.</em>
Answer: B. 2.5 in
Step-by-step explanation:
From the given right angle triangle,
the hypotenuse of the right angle triangle is the unknown side.
With m∠32 as the reference angle,
the adjacent side of the right angle triangle is 4 in
the opposite side of the right angle triangle is w
To determine w, we would apply
the tangent trigonometric ratio which is expressed as
Tan θ = opposite side/adjacent side. Therefore,
Tan 32 = w/4
w = 4tan32 = 4 × 0.625
w = 2.5 in
Answer:
7
Step-by-step explanation:
i know
Answer:
I would rather do the second option of which uses Compound interest that will give a profit of $47.85
Step-by-step explanation:
In this problem we will be exploring the two formulas
1. simple interest
A= P(1+r*t)
2. compound interest
A= P(1+r/n)^nt
Where A= final amount
P= initial amount
r= rate
t= time.
n= number of periods Compounded
1.given data
P= $600
r= 3%= 3/100= 0.03
t= 2 years
A= 600(1+0.03*2)
A= 600(1+0.06)
A= 600(1.06)
A= $636
Interest = 636-600= $36
2. Given data
P= $600
r= 4%= 4/100= 0.04
n= 24
t= 2
A= 600(1+0.04/24)^24*2
A=600(1+0.0016)^48
A=600(1.0016)^48
A= 600*1.07975
A= 647.85
Interest = 647.85-600= $47.85
