The distance between the building and the ladder is 34.876 foot.
<h3>What is a Right Triangle?</h3>
A triangle in which one of the angle measure is equal to 90 degree is called a right triangle.
The ladder forms a right triangle with the building and the ground,
The length of the triangle is 40 foot
The angle made by the ladder is 29.32 degree
By using Trigonometric Ratios
cos 29.32 = Base / Hypotenuse
cos 29.32 = Base / 40
0.8718 × 40 = Base
Base = 34.876 foot
Base is the distance between the building and the ladder.
Base of the ladder = 34.876 foot
To learn more about trigonometric functions from the given link
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Answer:
Step-by-step explanation:
Hi there!
<u>What we need to know:</u>
- Linear equations are typically organized in slope-intercept form: where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)
- Parallel lines always have the same slope and different y-intercepts
<u>1) Determine the slope (m)</u>
Rearrange this equation into slope-intercept form (this will help us find the slope)
Subtract x from both sides
Divide both sides by -2
Now, we can identify clearly that the slope of the given line is since it's in the place of m. Because parallel lines always have the same slopes, the line we're currently solving for would therefore have a slope of as well. Plug this into :
<u>2) Determine the y-intercept (b)</u>
Plug in the given point (-6,-8)
Add 3 to both sides to isolate b
Therefore, the y-intercept is -5. Plug this back into :
I hope this helps!
Every confidence interval has associated z value. As confidence interval increases so do the z value associated with it.
The confidence interval can be calculated using following formula:
Where
is the mean value, z is the associated z value, s is the standard deviation and n is the number of samples.
We know that standard deviation is simply a square root of variance:
The confidence interval of 95% has associated z value of <span>1.960.
</span>Now we can calculate the confidence interval for our income:
Answer:
Kim will need to spend 67 minutes on her sixth ride
Step-by-step explanation:
Represent the number of minutes of her sixth ride by m.
Then the average number of minutes is
53 + 43 + 56 + 54 + 45 + m
---------------------------------------- = 53
6
Multiplying both sides of this equation by 6 yields
6(53 + 43 + 56 + 54 + 45 + m)
--------------------------------------------- = 6(53)
6
which simplifies to
251 + m
---------------- = 318
or 251 + m = 318. Subtract 251 from both sides to obtain the value of m:
m = 318 - 251 = 67
Kim will need to spend 67 minutes on her sixth ride to attain an average ride length of 53 minutes.i
You need to convert 1000kg to grams? There are 1000g
Now what you need to do is multiply the number of kg you have by your conversion fractions, making sure that grams is on top so you end up with grams in your answer:
*
Kg cancel, and you are left with 1,000,000g
This means that there are 1,000,000g in 1000kg
Hope this helps!