The longest diagonal is about 8.9 inches. The longest length is going to be between the two longest lengths, the width and the height. The Pythagorean theorem is a^2 + b^2 = c^2. Plug the width and height into a and b of the Pythagorean equation. (4)^2 + (8)^2 = c^2. Now simplify the equation. 16 + 64 = c^2. 80 = c^2. Now find the square root of each side. (sqrt)80 = (sqrt)c^2. If you simplify this, you will find that c is equal to about 8.9 inches.
Answer:
The rate at which both of them are moving apart is 4.9761 ft/sec.
Step-by-step explanation:
Given:
Rate at which the woman is walking,
= 3 ft/sec
Rate at which the man is walking,
= 2 ft/sec
Collective rate of both, 
= 5 ft/sec
Woman starts walking after 5 mins so we have to consider total time traveled by man as (5+15) min = 20 min
Now,
Distance traveled by man and woman are 
and 
ft respectively.
⇒ 
⇒ 
As we see in the diagram (attachment) that it forms a right angled triangle and we have to calculate 
.
Lets calculate h.
Applying Pythagoras formula.
⇒ 
⇒ 
Now differentiating the Pythagoras formula we can calculate the rate at which both of them are moving apart.
Differentiating with respect to time.
⇒
⇒ 
⇒ 
...as 
⇒ Plugging the values.
⇒ 
...as 
ft/sec
⇒ 
ft/sec
So the rate from which man and woman moving apart is 4.9761 ft/sec.
We can rewrite the equation given above as,
y = 3 - 4x
This item asks us to determine the value of the y-intercept. The value is calculated by letting x of the equation be equal to zero. Applying this methodology to the given above,
y = 3 - 4(0)
y = 3
Hence, the y-intercept of the given function is 3.
The answer is c alternate exterior angles
Answer:
C)2 : 1
Step-by-step explanation:
AEFG ≈ ALMN
FG / MN = 4 / 2 = 2/1
So the ratio of AEFG to ALMN = 2 / 1 or 2 : 1
