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Answer:
ℓ = 1.5
Step-by-step explanation:
An equation 10(23+7)=100ℓ+100ℓ is given and we are asked to find the value of ℓ.
To solve the equation, we have to move all the values containing ℓ on one side and other values on other side of equality.
10(23+7)=100ℓ+100ℓ
Multiply 10 with 23 and 7 which gives
(10 * 23 ) + ( 10 * 7) = 200 ℓ
Solving the above equation,
230 + 70 = 200 ℓ
300 = 200 ℓ
=> ℓ = 300 / 200
=> ℓ = 3/2
=> ℓ = 1.5
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:
............................................................ esssssupido
In geometry, an undefined term is a basic figure that cannot be defined in terms of other figures.
The undefined terms in geometry are: point, line and plane.
Since you have not attached any figures, I cannot tell you which one is correct. Just choose the figure that is either a point, a line or a plane.
