Answer:
The answer is choice B: 22.52 units.
Step-by-step explanation:
We use the Pythagoras's theorem which says for a right triangle with sides 
and hypotenuse 
:
In our case
So we solve for 
Which is choice B.
Answer:
Step-by-step explanation:
Let x represent the initial weight of Porky the pig.
Porky the pig weighs 1,125 lbs less than Kobe the Cow. This means that the initial weight of Kobe the cow is
x + 1125
After each gains 50lbs. Kobe the Cow will weigh ten times as much as porky the pig. This means that
(x + 1125) + 50 = 10(x + 50)
x + 1125 + 50 = 10x + 500
10x - x = 1125 + 50 - 500
9x = 675
x = 675/9
x = 75
Porky's current weight is
75 + 50 = 125 lbs
Kobe's current weight is
(75 + 1125) + 50
= 1250 lbs
Answer:
(a) 0.4
(b) a = 3
Step-by-step explanation:
(a) The area under the curve from x=4 to x=6 is 0.2 units high and 2 units wide, so is 0.2·2 = 0.4. (The area of a rectangle is the product of length and width.)
(b) The area is 0.2 and the height of the curve is 0.2, so the width of the region of concern is 0.2/0.2 = 1. (Again, area = height·width, or width = area/height.) 1 unit from the left end is found at X=3, so a = 3.
