Answer:
V = 486
, or approx. 1,526.814
Step-by-step explanation:
V =
*r²*(h/3)
plug in the numbers: V =
* (9)² * (18/3)
simplify: V =
* 81 * 6
simplify: V = 486
, or approx. 1,526.814
32 meters tall.
It would form a right triangle, in which the shorter leg is 7m and the longer leg is 24m. You're looking for the last side, the hypotenuse. So use the Pythagorean theorem. a^2 + b^2 = c^2 , in which a and b are the legs and c is the hypotenuse.
Therefore, you get 7^2 + 24^2 = c^2.
Which is, 49 + 576 = c^2
Add, 625 = c^2.
Take the square root of 625, which is 25. So, the length of the hypotenuse (last side) is 25m. Add the 7m that is sticking out of the ground, to get 32m.
Answer:
x^2-6x+5
Step-by-step explanation:
To have roots at x=5 and x=1 you need to write is as follows
(x-5)(x-1)
you then need to multiply these two and get
x^2-6x+5
Is -2 the only point of reference given?
Answer:
Katherine and Beatrice will meet after 2.5hrs.
Step-by-step explanation:
Given:
Distance between Katherine and Beatrice when they start moving towards each other= 20 miles
Speed at which Katherine runs =5 mph
Speed at which Beatrice walks =3 mph
To Find:
Time taken for Katherine and Beatrice to meet each other
Solution:
Let assume number of hours after which Katherine and Beatrice = x hrs
Distance = speed x time
Distance travelled by Katherine in x hours =
= 5x
Distance travelled by Beatrice in x hours =
= 3x
Total distance covered together by Katherine in x hours and Beatrice in x hours is 20 miles .
=> 5x + 3x = 20
=>8x = 20
=> 
=> 
=> x=2.5
Number of hours after which Katherine and Beatrice meets = x hrs = 2.5hrs