Lee's class has 35...Fred's has 25..
total is 60
Answer:
√(4/5)
Step-by-step explanation:
First, let's use reflection property to find tan θ.
tan(-θ) = 1/2
-tan θ = 1/2
tan θ = -1/2
Since tan θ < 0 and sec θ > 0, θ must be in the fourth quadrant.
Now let's look at the problem we need to solve:
sin(5π/2 + θ)
Use angle sum formula:
sin(5π/2) cos θ + sin θ cos(5π/2)
Sine and cosine have periods of 2π, so:
sin(π/2) cos θ + sin θ cos(π/2)
Evaluate:
(1) cos θ + sin θ (0)
cos θ
We need to write this in terms of tan θ. We can use Pythagorean identity:
1 + tan² θ = sec² θ
1 + tan² θ = (1 / cos θ)²
±√(1 + tan² θ) = 1 / cos θ
cos θ = ±1 / √(1 + tan² θ)
Plugging in:
cos θ = ±1 / √(1 + (-1/2)²)
cos θ = ±1 / √(1 + 1/4)
cos θ = ±1 / √(5/4)
cos θ = ±√(4/5)
Since θ is in the fourth quadrant, cos θ > 0. So:
cos θ = √(4/5)
Or, written in proper form:
cos θ = (2√5) / 5
Answer:
No, because AB is 2/5 the length MN but CD is 1/3 the length QP.
Step-by-step explanation:
Comparing the corresponding sides, the length of AB is 4. The length of MN is 10. This makes their ratio 4/10 = 2/5.
The length of CD is 2. The length of QP is 6. this makes their ratio 2/6 = 1/3.
The ratios of the sides are not the same, so the figure is not proportional and is therefore not a dilation.
Answer:
Flags are one of the simplest yet most powerful pieces of design ever conceived.
Step-by-step explanation:
They can make us swell with pride, burn with hatred — and even inspire people to die or kill in their name, says vexillologist Michael Green. Take a brief walk through history as Green explores the symbolic fervor behind flags that unify and divide, inviting us to imagine a future where we can come together under one collective identity: humanity.
Answer:
P = Rs2500
Step-by-step explanation:
Given that,
Amount, A = Rs 3025
Rate, r = 10%
Let time, t = 2 years
We need to find the sum if the amount is compounded annually. Using the formula of compound interest.
So, the sum of money is Rs 2500.
