Answer:
The distance of the playground is 540m
Step-by-step explanation:
Here, we are interested in calculating the length of the playground given the information in the question.
Where to attack the question from is the segment that states that he took a break after 480m and also had 2 breaks. Thus, the distance traveled would be 480 * 2 = 960 m
Now, to find the length of the track, we add the distance covered plus the distance uncovered. Mathematically that would be 960m + 120m = 1,080m
In the last part of the question, we are told that the track is twice as long as the playground. This means that the length of the playground or the distance of the playground is 1080/2 = 540 m
Answer:
Cliff is 45 m tall.
Step-by-step explanation:
Given:
Height of Sarah = 1.8 m
Angle of elevation = 60°
Angle of elevation 50 m back = 30°
As shown in the figure we have two right angled triangles SPQ and SPR.
Let the height of the cliff be 
meters and 
.
Using trigonometric ratios:
tan (Ф) = opposite/adjacent
In ΔSPQ. In ΔSPR.
⇒ 
...equation (i) ⇒ 
...equation (ii)
Dividing equation (i) and (ii)
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
meters
To find 
plugging in equation (i)
⇒ 
⇒ 
⇒ 
meters
The height of the cliff from ground :
⇒
⇒ 
⇒ 
meters
The cliff is 45 m tall to the nearest meter.
Answer:
^
Step-by-step explanation:
The left and right sides of the triangle must be 6 and the bottom must be 7. This creates an equilateral triangle where 2 sides are equal.
Price/units= cost per pen
$12.25/26=.47
Answer .47 cents per pen
Answer:
$12.40
Step-by-step explanation:
Because each of the students paid the same amounts, you just divide the total amount of money by the number of students there are, which is 21 and you get your answer of $12.40. hope this helps :)
