Answer:
0.25 rad to the nearest hundredth radian
Step-by-step explanation:
Here is the complete question
Suppose a projectile is fired from a cannon with velocity vo and angle of elevation (theta). The horizontal distance R(θ) it travels (in feet) is given by the following.
R(θ) = v₀²sin2θ/32
If vo=80ft/s what angel (theta) (in radians) should be used to hit a target on the ground 95 feet in front of the cannon?
Do not round any intermediate computations, and round your answer(s) to the nearest hundredth of a radian.
(θ)= ?rad
Solution
R(θ) = v₀²sin2θ/32
If v₀ = 80 ft/s and R(θ) = 95 ft
θ = [sin⁻¹(32R(θ)/v₀²)]/2
= [sin⁻¹(32 × 95/80²)]/2
= [sin⁻¹(3040/6400)]/2
= [sin⁻¹(0.475)]/2
= 28.36°/2
= 14.18°
Converting 14.18° to radians, we have 14.18° × π/180° = 0.2475 rad
= 0.25 rad to the nearest hundredth radian
Answer:
i think the second option
Step-by-step explanation:
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One irrational number is π, also known as pi. A rational number is one that can be written as a ratio of two integers (whole numbers). Pi goes on forever, so it can't be written as a ratio. Therefore, π is irrational.
Answer:
solution: x = -8
Step by step:
1) 5x-5+5 = -45+5 : Add 5 to both sides
2) 5x= -40 : Simplify
3) 5x/5 = -40/5 : Divide both sides
Hope that helps
Answer:
40% of the class is Girls, so 12 students are girls
Step-by-step explanation:
add up the ratio
2+3=5
divide by 5
30/5=6
multipy ratio to find totial number of students
2*6=12
2*3=18
divide the number of students to get the pecentage
12/30=0.4=40%
18/30=0.6=60%
