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
3x + 3 - x -7 is greater than 6.
2x - 4 is greater than 6.
2x is greater than 10.
x is greater than 5.
Hence, the answer is (A).
Answer:
C) A person's height, recorded in inches
Step-by-step explanation:
Quantitative Variable:
- A quantitative variable is a variable which can be measured and have a numeric outcome.
- That is the value of variable can be expressed with numbers.
- Foe example: age, length are examples of quantitative variables.
A) The color of an automobile
The color of car is not a quantitative variable as its outcome cannot be measured and expressed in value. It is a categorical variable.
B) A person's zip code
Some variables like zip codes take numerical values. But they are not considered quantitative. They are considered as a categorical variable because average of zip codes have no significance.
C) A person's height, recorded in inches
Height is a qualitative variable because it can be measured and its value is expressed in numbers.
Answer:
x=-6
y=30
Step-by-step explanation:
-5x =2x+42
x=-6
y=2(-6)+42
=30.
Answer:
That looks like interior angle to me
x = 47 (since interior angles are congruent)
Step-by-step explanation:
I am really sleepy... :/
