<u>Answer-</u>
<em>Alex must Alex unwind the spool </em><em>8 times</em><em> in order to get the length of thread he needs.</em>
<u>Solution-</u>
The length of the thread needed for sewing project = 80 cm
The length of the thread unwinded with each rotation of the spool = circumference of the spool = 10 cm
So, the number of turns Alex must unwind,
Therefore, he must unwind 8 times to get the length he needs.
Answer:
600.06
Step-by-step explanation:
Lovely.
The car is traveling at 95 km/h, and the train is at 75 km/h.
Remember the train is 1 km long.
a)
With respect to the train the car is not moving as much as 75 km/h.
The car with respect to the train is moving as much as 95 - 75 = 20 km/h
Recall the train is 1 km long.
Time to cover the 1km long train = Distance / speed = 1 / 20 = (1/20) hour.
= (1/20)*60 minutes = 3 minutes.
So the car would pass the train in 3 minutes.
b)
Now if they are traveling in opposite directions;
the car with respect to the train = 75 + 95 = 170 km/h
Time to cover the 1km long train = Distance / speed = 1 / 170 = (1/170) hour.
<span>= (1/170)*60 minutes = (6/17) minutes
</span>
= (6/17)*60 seconds = 360/17 seconds ≈ 21.176 seconds.
Answer:
For a trapezium of height H, parallel side 1 X, and parallel side 2 Y, the area is:
A = (1/2)*H*(X + Y)
with this we can complete the table.
a)
Here we know:
X = 7cm
Y = 11cm
H = 6cm
Then: A = (1/2)*6cm*(7cm + 11cm) = 54 cm^2
b)
Here we know:
X = 8 m
Y = 10 m
A = 126 m^2
Then:
126 m^2 = 0.5*H*(8m + 10m)
126 m^2 = H*9m
126 m^2/9m = H = 14m
Then the height of this trapezoid is 14m
c)
Here we know:
X = 5mm
H = 8mm
A = 72 mm^2
Then:
72 mm^2 = 0.5*8mm*(5mm + Y)
72 mm^2 = 4mm*(5mm + Y)
72mm^2/4mm = 5mm + Y
18 mm = 5mm + Y
18mm - 5mm = Y
13 mm = Y
Then the parallel side 2 is 13 mm long.
Answer:
4289.03 metres
Step-by-step explanation:
Given that standing on one side of the Mississippi River, you notice a tall tree directly across from you on the opposite bank. You walk 2000 meters along the bank and the tree is still visible, but at an angle of 65° to the bank
Visualise the right triangle formed by the river directly across in the first position , 2000 metres the distance walked along the bank and the line (here hypotenuse) joining you new position and the vertex opposite the bank
We have 65 degress angle has opposite side as width of river and adjacent side as 2000 m
Using trignometrical ratio
we get
, where x is the width of river
metres
