Answer:
A
Step-by-step explanation:
Calculation seems correct to me, with d the distance and h the height of the plane, and i got the same value. Closest value is A tho, so i'd stick with it.
If you want to be pedantic about it, you can always divide the heigth by each value, and get the inverse tangent of each value. With A you get 17.995 which seems the best value you get
the anwser would most likely be 3 because you want the LCM
Answer:
Step-by-step explanation:
Hi there!
<u>What we need to know:</u>
- Linear equations are typically organized in slope-intercept form:
where <em>m</em> is the slope and <em>b</em> is the y-intercept - Parallel lines always have the same slope (<em>m</em>)
<u>Determine the slope (</u><em><u>m</u></em><u>):</u>
<u />
<u />
The slope of the given line is 
, since it is in the place of <em>m</em> in y=mx+b. Because parallel lines always have the same slope, the slope of a parallel line would also be . Plug this into y=mx+b:
<u>Determine the y-intercept (</u><em><u>b</u></em><u>):</u>
To find the y-intercept, plug in the given point (6,14) and solve for <em>b</em>:
Therefore, the y-intercept of the line is 22. Plug this back into :
I hope this helps!
Answer:
The standard deviation (σ) = 0.05
Step-by-step explanation:
The question is to find the standard deviation.
STEEP 1: FIND THE MEAN
(10+9.9) ÷ 2 = 9.95
STEP 2: SQUARE THE DIFFERENCE BETWEEN SPRINT TIME AND MEAN
10-9.95= 0.05
0.05^2 = 0.0025
9.9 - 9.95= -0.0025
-0.0025^2 = 0.0025
STEP 3: FIND THE VARIANCE
0.0025+0.0025= 0.005
0.005/2= 0.0025
STEP 4: FIND THE STANDARD DEVIATION (σ )
√variance
√0.0025 = 0.05
Therefore
σ = 0.05.
From the standard deviation, the percentage probability of the higher value to occurs is
0.05×100= 5%
That means Doug has 95%
And Bob has 5%
Answer/Step-by-step explanation:
1. m<UTV = m<RTS = 85°
Reason: Definition of vertical angles.
Vertical angles are congruent to each other. m<UTV and m<RTS are vertical angles pair.
2. m<R + m<S + m<RTS = 180°
Reason: sum of interior angles of a ∆.
3. 3x + 2x + 85° = 180°
Reason: Substitution
4. x = 19
Reason: Algebra
Solving the equation algebraically, we would have the following:
3x + 2x + 85° = 180°
Add like terms
5x + 85 = 180
5x = 180 - 85 (subtraction property of equality)
5x = 95
Divide both sides by 5
x = 19
