Answer:
Step-by-step explanation:
Set up a proportion.
3/25 = x / 20 Notice that both times are in the denominators. Be sure you always set up a proportion that way. Like units in the denominator. Like units in the numerator.
Cross multiply
3 * 20 = 25 * x Combine
60 = 25x Divide by 25
60/25 = x
x = 2.4 miles in 20 minutes.
<span>The area of the base is x^2> The height is h. Each side of the box has area xh. There are 4 sides of the box so the total surface area of the box is x^2+4xh and that is equal to 1000. Solve that equation for h:
x^2+4xh = 1000 h = (1000-x^2)/4x so the Volume = x^2[(1000-x^2)/4x]
Simplify and get V = 250x-x^3/4
The volume will be a maximum when its first derivative is 0.
V' = 250-3/4x^2
Set to 0 and solve. x=18.26
Now plug into the volume function to find the maximum volume:
V=250(18.26)-(18.26)^3/4
V= 4564.35 - 1522.10 =3042.25</span>
Answer:
I believe the answer is A
Step-by-step explanation:
Answer:
Therefore the value of 
Step-by-step explanation:
Given:
m∠ A = 56°
m∠ B = 75°
m∠ ACD = x°
To Find:
x = ?
Solution:
In Δ ABC
An exterior angle of a triangle is equal to the sum of the opposite interior angles.
Here,
The opposite interior angles are angle A and angle B.
An exterior angle of a triangle is angle ACD which is x°
∴ 
...Exterior angle property of Δ
Substituting the values we get
Therefore the value of
Answer:
Should be 1/12
Step-by-step explanation:
7/30x5/14
Simply multiply the numerators and denominators separately:
5/14× 7/30 = 5 × 7/14 × 30 = 35/420
After reducing the fraction, the answer is
1/12
