The two angles, when added, should form a straight line.
A. ∠RST and ∠RSV form the line VT
B. ∠RST and ∠TSU form the line RU
C. ∠RST and ∠VSU form opposite angles with each other
D. ∠TSU and ∠USV form the line VT
E. ∠TSU and ∠RSV form opposite angles with each other
So, the answers are A, B and D.
Answer: " (3,1) is the point that is halfway between <em>A</em> and <em>B</em>. "
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Explanation:
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We know that there is a "straight line segment" along the y-axis between
"point A" and "point B" ; since, we are given that:
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1) Points A, B, C, and D form a rectangle; AND:
2) We are given the coordinates for each of the 4 (FOUR points); AND:
3) The coordinates of "Point A" (3,4) and "Point B" (3, -2) ; have the same "x-coordinate" value.
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We are asked to find the point that is "half-way" between A and B.
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We know that the x-coordinate of this "half-way" point is three.
We can look at the "y-coordinates" of BOTH "Point A" and "Point B".
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which are "4" and "-2", respectively.
Now, let us determine the MAGNITUDE of the number of points along the "y-axis" between "y = 4" and y = -2 .
The answer is: "6" ; since, from y = -2 to 0 , there are 2 points, or 2 "units" from y = -2 to y = 0 ; then, from y = 0 to y = 4, there are 4 points, or 4 "units".
Adding these together, 2 + 4 = 6 units.
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So, the "half-way" point would be 1/2 of 6 units, or 3 units.
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So, from y = -2 to y = 4 ; we could count 3 units between these points, along the "y-axis". Note, we could count "2" units from "y = -2" to "y = 0".
Then we could count one more unit, for a total of 3 units; from y = 0 to y = 1; and that would be the answer (y-coordinate of the point).
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Alternately, or to check this answer, we could determine the "halfway" point along the "y-axis" from "y = 4" to "y = -2" ; by counting 3 units along the "y-axis" ; starting starting with "y = 4" ; note: 4 - 3 = 1 ; which is the "y-coordinate" of our answer; that is: "y = 1" ; and the same y-coordinate we have from the previous (aforementioned) method above.
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We know the "x-coordinate" is "3" ; so the answer:
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" (3,1) is the point that is halfway between <em>A</em> and<em> B </em>."
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Answer: 
Step-by-step explanation:
The complete exercise is: "Tomos is a skier he completed a ski race in 2 min 6 seconds the race was 525 m in length. Tomos assumes that his average speed is the same for each race. using this assumption, work out how long tomos should take to complete an 800 m race give your answer in minutes and seconds"
For this exercise you can use the following formula to find the average speed :
Where "d" is the distance and "t" is the time.
In this case, based on the information given in the exercise, you can identify that:
Since he completed a ski race in 2 min 6 seconds, and 1 minute has 60 seconds, you ge that this time in seconds is:
Substitute these values into the formula to find the average speed:
The formula for the time is:
Knowing that Tomos assumes that his average speed is the same for each race, for the 800 meters race you can identify that:
So, substituting values into the formula and evaluating, you get that the time it takes him to complete this race is:
Convert from seconds to minutes:
Converting 0.2 minutes to seconds, you get:
Therefore:
Answer:
the interest amount is $240
Step-by-step explanation:
I hope it helps.
Answer:
39°
Step-by-step explanation:
==>Given:
Shadow length = 20ft
Flag height = 16ft
==>Required:
Angle of elevation of sun (θ)
==>Solution:
To calculate the angle of elevation of the sun, recall the trigonometry formula SOHCAHTOA.
We are given adjacent side = 20ft, and opposite side = 16ft
Therefore, we would use TOA, which is:
tan θ = Opposite/Adjacent
tan θ = 16/20
tan θ = 0.8
θ = 38.6598083 ≈ 39°
Angle of elevation of the sun = 39°
