Answer:
Answer is A - (1, 3) and (2, 6)
Step-by-step explanation:
(1, 3) • 2
= (1 • 2, 3 • 2)
= (2, 6)
Ratio: 2/2, 6/2
Therefore, the answer is A.
Look at the attached figure. We define the unit circle as a circle with center 
in the origin (0,0) and radius 1.
Then, we consider a point P on the circumference. We call 
the angle between the positive half of the x axis and the radius AP.
We define
As you can see, ACD is a right triangle, and so we have
But since we know that AD is the cosine, AC is the sine, and AP is the radius (which is 1, and remains 1 when squared), we have just found out that
Answer:
5 miles
Step-by-step explanation:
This is because if you draw a line going west and label it as 4 miles, then draw another line going south and label it 3 miles, you form a right angle, right? So, the fastest way to go back would be taking a diagonal-like route back to the beginning. Does this shape look familiar to you? Right! It's a right triangle. And do the numbers 3, 4, and 5 sound familiar to you? Yup, it's a Pythagorean triplet. If the legs of a right triangle are 3 and 4, the hypotenuse is 5. Why am I saying this? Because, in the drawing you just did, the 4 miles west and 3 miles south were the legs, and the diagonal path back to the beginning is the hypotenuse. Get it now?
Happy to help! :)
In the given diagram, the measure of angle DAE is 48°
<h3>Circle Geometry </h3>
From the question, we are to determine the measure of angle DAE
From the given information,
96° is the angle subtended by the arc at the center of the circle
From one of the circle theorem,
Angle at the center is <u>twice</u> the angle at the circumference
∴ 2 × ∠DAE = 96°
∠DAE = 96°/2
∠DAE = 48°
Hence, the measure of angle DAE is 48°
Learn more on Circle Geometry here: brainly.com/question/27666353
#SPJ1
Answer:
0.573 m
Step-by-step explanation:
a. To find the depth, x, we first solve the differential equation to find the expression for I
dI/dx = (-1.21)I
dI = (-1.21)Idx
dI/I = -1.21dx
Integrating both sides, we have
∫dI/I = ∫-1.21dx
㏑I = -1.21x + C
I = exp(-1.21x + C)
I = exp(-1.21x)exp(C) Let exp(C) = A
I =Aexp(-1.21x)
when x = 0, I = L. Substituting these into the equation, we have
L = Aexp(-1.21 × 0)
L = Aexp(0)
L = A
So, I = Lexp(-1.21x)
we want to find x when I = L/2.
So, L/2 = Lexp(-1.21x)
1/2 = exp(-1.21x)
-1.21x= ㏑(1/2)
-1.21x= -㏑2
x = -㏑2/-1.21
x = 0.693/1.21
x = 0.573 m
