Answer:h=3V/πr^2
Step-by-step explanation:
V=1/3πr^2h
Cross multiply
3V=πr^2h
Divide both sides by πr^2
3V/πr^2=πr^2h/πr^2
3V/πr^2=h
h=3V/πr^2
Let h represent the number of hours Liam must ride to beat his record.
distance-ridden + distance-to-ride ≥ record-distance
distance-ridden + (speed × time-to-ride) ≥ record-distance
4 +7h ≥ 32 . . . . . . . . an inequality representing the distance Liam wants
7h ≥ 28 . . . . . . . . . . subtract 4
h ≥ 4 . . . . . . . . . . . . . divide by 7
He must ride for more than 4 hours.
Answer:
a = 9.4 cm
b = 12.0 cm
Step-by-step explanation:
Check the image uploaded for diagram;
For the first diagram, side length a is calculated as follows;
a² = 8² + 5²
a² = 64 + 25
a² = 89
a = √89
a = 9.4 cm ( approximated to 1 decimal place)
For the second diagram, side length b is calculated as follows;
b² = 17² - 12²
b² = 145
b = √145
b = 12.0 cm (approximated to 1 decimal place)