Answer:
Dy/dt = 11.67 ft/s
Step-by-step explanation: See Annex
In Annex, Triangles ACE and BCD are similar then, we can write
( y- x ) / y = 6 / 15
15*y -15*x = 6*y
15*y - 6*y = 15*x
9*y = 15*x
y = (15/9)*x
Differentiating with respect time on both sides of the equation we get
Dy/dt = (15/9) Dx/dt (1)
Where we know Dx/dt = 7 ft/s, and according to (1) Dy/dt does not depend on x (distance between man and the pole, only depend on the speed f the man
Dy/dt = (15/9) * 7
Dy/dt = 11.67 ft/s
Answer:
(4x+3)^2 = 18
16x+9=18
16x=9
<u>x=9/16</u>
Step-by-step explanation:
Answer:
540
Step-by-step explanation:
No matter what the shape, the total amount of degrees in the interior angles in a pentagon is 540. Hope this helps!
Answer:
1000 readers
Step-by-step explanation:
40 people represent 4% of the total number of readers.
4% is 1/25 of 100%, therefore:
4% x 25 = 100%
So, if we multiply the number of people that represent 4% by 25, we will get the total number (100%).
40 x 25 = 1,000
The newspaper has 1000 total readers.
Alternatively, you could also divide 4% (40) by 4 which would give you 1%=10. Multiply this by 100 to get 100% which gives us: 100% = 1000.
Hope this helped!
Answer:
1,4
2,3
1,6
6,7
5,8
5,2
1,6
7,2
8,1
3,6
4,5
1,5
2,6
3,7
4,8
Step-by-step explanation:
Alternate interior, exterior, vertical, and complemetary angles are congruent.
