Hey there! :)
Answer:
-1/2.
Step-by-step explanation:
For a line to be perpendicular, the slope must be the negative reciprocal of the original. In this instance:
A line perpendicular to y = 2x + 7 must contain a slope that is the negative reciprocal of 2.
The negative reciprocal of 2 is -1/2. This is the slope of a perpendicular line.
For this we start by putting km into cm
53.23 x 100,000 = 5,323,000
Now we divide by 53 to see the total number of revolutions
5,323,000 / 53 = 100,433.962 revolutiona
Hello damerahli!
Find the landmark.
Let's take a look at the graph. The coordinates given are (2, ¼).
This means that...
- Coordinate at abscissa = 2
- Coordinate at ordinate = ¼
In the graph given, each square = ¼ units. That means the 1st box above the origin in the ordinate is (0, ¼). Let's mark this as our coordinate of y-axis. Then let's take 2 in the abscissa (2, 0) as the other coordinate. So, by connecting the 2 points (since both the coordinates are positive they'll lie in the 1st quadrant) we can see that the landmark is the 
. (Marked as a yellow dot in the attached figure).
<em>Please </em><em>refer </em><em>to </em><em>the attached</em><em> picture</em><em> for</em><em> better</em><em> understanding</em><em>.</em>
__________________
Hope it'll help you!
ℓu¢αzz ッ
Answer:
a) Discrete Variable
b) Discrete Variable
c) Discrete Variable
d) Continuous Variable
Step-by-step explanation:
We have to identify the given variable as discrete r continuous.
Discrete Variables:
- They are expressed in whole numbers.
- They are counted not measured.
- They cannot take any value within an interval.
Continuous Variables:
- They are expressed in decimal numbers.
- They are measured not counted.
- They cannot take any value within an interval.
a) The number of countries ever visited
Since number of countries will always be expressed in whole numbers and not decimals. Also, they will always be counted and not measured. Thus, it is a discrete variable.
b) The number of sons
Since number of sons will always be expressed in whole numbers and not decimals. Also, they will always be counted and not measured. Thus, it is a discrete variable.
c) Shoe size
Shoe size are expressed in whole number. The underlying measure is length of feet which is a continuous variable but shoe size are always given in whole number. Thus, they cannot take any value within an interval. Thus, it is a discrete variable.
d) Body temperature
Body temperature can be expressed in decimal. A Body temperature of 42.5 makes sense. Thus, they can take any value within an interval. Also, it is measured not counted. Thus, it is a discrete variable.
Answer:
<em>The height of the building is 21.38 m</em>
Step-by-step explanation:
<u>Trigonometric Ratios</u>
The ratios of the sides of a right triangle are called trigonometric ratios.
The image attached shows the measures and angles provided in the problem. The first angle of elevation is y=22°, the man walks B=20 m and finds the new angle of elevation is x=33°.
It's required to find the height of the building H.
The tangent ratio relates the opposite side with the adjacent side of a given angle. Applying it to the larger triangle:
Multiplying by D+B:
Dividing by tan 22°
Subtracting B:
![\displaystyle D=\frac{H}{\tan 22^\circ}-B\qquad\qquad[1]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20D%3D%5Cfrac%7BH%7D%7B%5Ctan%2022%5E%5Ccirc%7D-B%5Cqquad%5Cqquad%5B1%5D)
Applying to the smaller triangle:
Multiplying by D:
Substituting from [1]:
Substituting values:
Operating:
H = 21.38 m
The height of the building is 21.38 m
