Answer:
Her usual driving speed is 38 miles per hour.
Step-by-step explanation:
We know that:

In which s is the speed, in miles per hour, d is the distance, in miles, and t is the time, in hours.
We have that:
At speed s, she takes two hours to drive. So


However, on one particular trip, after 40% of the drive, she had to reduce her speed by 30 miles per hour, driving at this slower speed for the rest of the trip. This particular trip took her 228 minutes.
228 minutes is 3.8 hours. So

So




Her usual driving speed is 38 miles per hour.
The Quotient would be 1012 so I would just put 1000 if your supposed to estimate.
None. ⅔ is greater than 1/6 but ⅔ equals 2 x (1/6).
Basically one half of ⅔ equals 1/6
It would be 10 bc ten is the next number i guess
Answer:
x = 30.91 cm , y = 29,86 cm and z = 39.30 cm.
Total area of wood = 2942.54 cm^2.
Step-by-step explanation:
sin 15 =8/x
x = 8 / sin 15
x = 30.91 cm.
and
tan 15 = 8/y
y = 8 / tan 15
= 29.86 cm.
The value of z can be found using the Pythagoras theorem:
50^2 = x^2 + z^2
z^2 = 20^2 - x^2 = 50^2 - 30.91^2
z^2 = 1554.57
z = √1554.57
= 39.30 cm.
b. The area consists of 3 rectangles :- 1. sides x and z 2. sides z and 8 and the other has sides z and y. Also 2 triangles of height 8 and base length y cm.
Total area = 30.91 * 39.30 + 8 * 39.30 + 29.86 * 39.30 + 2 * 0.5 * 8 * 29.86
= 2942.54 cm^2.